In this paper I examine Aquinas’s commentary on a text of Aristotle in which the type of order between substance and accidents is discussed. I claim that Aquinas maintains that there cannot be any reference to sensibility, despite any prima facie interpretation of Aristotle’s texts, according to which it could be thought that substance is temporally prior to accidents and, hence, that we must presuppose a perceivable change in the world on the basis of which it is possible (...) to consider something temporally prior to something else. This interpretation – which is possible on the basis of Aristotle’s texts – would be a misinterpretation, according to Aquinas. Aquinas’s assumption is philosophically worthwhile because it confi rms that every metaphysical proposition must abstract from sensibility. (shrink)

The essay constructs an ontological theory designed to capture the categories instantiated in those portions or levels of reality which are captured in our common sense conceptual scheme. It takes as its starting point an Aristotelian ontology of “substances” and “accidents”, which are treated via the instruments of mereology and topology. The theory recognizes not only individual parts of substances and accidents, including the internal and external boundaries of these, but also universal parts, such as the “humanity” which is an (...) essential part of both Tom and Dick, and also “individual relations”, such as Tom’s promise to Dick, or their current handshake. (shrink)

This paper is a study of Brentano’s ontology, and more specifically of his theory of substance and accident as put forward toward the end of his life in the materials collected together as the Kategorienlehre or Theory of Categories. Here Brentano presents an auditious (re-)interpretation of Aristotle’s theory of substance and accidence. We show that on the Brentano initially defends, it is space which serves as the single substance upon which all other entities depend as accidents (...) of space. In an appendix, however, Brentano puts forward an even more radical suggestion, inspired by the physics of Kelvin. According to this final view, space itself is an accident of a deeper substance: the present time. (shrink)

At the opening of Spinoza’s Ethics, we find the three celebrated definitions of substance, attribute, and God: E1d3: By substance I understand what is in itself and is conceived through itself, i.e., that whose concept does not require the concept of another thing, from which it must be formed [Per substantiam intelligo id quod in se est et per se concipitur; hoc est id cujus conceptus non indiget conceptu alterius rei, a quo formari debeat]. E1d4: By attribute I (...) understand what the intellect perceives of a substance, as constituting its essence [Per attributum intelligo id, quod intellectus de substantia percipit, tanquam ejusdem essentiam constituens]. E1d6: By God I understand a being absolutely infinite, that is, a substance consisting of an infinity of attributes, of which each one expresses an eternal and infinite essence We are accustomed to think of these paramount definitions as a fixed and settled formulation of the core of Spinoza’s metaphysics, but if we look at the development of Spinoza’s thought, the picture we get is quite different. In the early drafts of the Ethics and in his early works, Spinoza seems to have experimented with various conceptualizations of the relations between substance, attribute, and God. Some of Spinoza’s works make barely any use of the notions of substance and attribute, and the testimony of Spinoza’s letters suggests that, at a certain stage in his philosophical development, the concept of attribute may have been put on the back burner, if not completely dropped. Indeed, another closely related concept—accident [accidens]—was fated to be pulled out of the system (and for good reasons ). The final version of the Ethics makes hardly any use of this notion, but Spinoza’s letters show that in early drafts of the Ethics he used the term ‘accident’ to refer to what cannot be or be conceived without substance. In this paper I will attempt to provide a brief outline of the genealogy of Spinoza’s key metaphysical concepts. This genealogy, like any other, can help us to reexamine and reconsider what seems to us natural, stable and obvious. In the first part of the paper, I rely on Spinoza’s letters to trace the development of his definitions of substance and attribute in the early drafts of the Ethics. The letters, whose dates are more or less established, also provide a temporal grid for our subsequent discussions. The second part surveys Spinoza’s discussion and conceptualization of substance and attributes in the Treatise on the Emendation of the Intellect, the Theological-Political Treatise (1670), and briefly, Spinoza’s 1663 book on Descartes’ Principles of Philosophy, and its appendix on Metaphysical Thoughts, the Cogitata Metaphysica. The third part of the paper is dedicated to Spinoza’s understanding of substance and attribute in the Short Treatise on God, Man, and His Well-Being. I conclude with some remarks on the stability of Spinoza’s final position on the issue, as expressed in the published version of the Ethics . (shrink)

This paper argues that Wolff’s rejection of Leibnizian monads is rooted in a disagreement concerning the general notion of substance. Briefly, whereas Leibniz defines substance in terms of activity, Wolff retains a broadly scholastic and Cartesian conception of substance as that which per se subsists and sustains accidents. One consequence of this difference is that it leads Wolff to interpret Leibniz’s concept of a constantly striving force as denoting a feature of substance separate from its static (...) powers, and not as their replacement. For Wolff, powers are essential possibilities of acting in subjects suited for independent existence. Force is a further ingredient that provides a reason for the contingent operation of powers. Unlike Leibniz, Wolff conceives force narrowly as a principle of actuality, which he calls the nature of substance, as distinct from its principle of possibility, or essence. (shrink)

The work of Thomas White represents a systematic attempt to combine the best of the new science of the seventeenth century with the best of Aristotelian tradition. This attempt earned him the criticism of Hobbes and the praise of Leibniz, but today, most of his attempts to navigate between traditions remain to be explored in detail. This paper does so for his ontology of accidents. It argues that his criticism of accidents in the category of location as entities over and (...) above substances was likely aimed at Francisco Suárez, and shows how White’s worries about the analysis of location were linked with his broader cosmological views. White rejects real qualities, but holds that the quantity of a substance is somehow distinct from its bearer. This reveals a common ground with some of his scholastic interlocutors, but lays bare a deep disagreement with thinkers like Descartes on the nature of matter. (shrink)

The ancient theory of substance and accident is supposed to make sense of complex unities in a way that respects both their unity and their complexity. On Hume’s view such complex unities are only fictitiously unities. This result follows from his thoroughgoing critique of the theory of substance. I will characterize the theory Hume is critiquing as it is presented in Locke, presupposing what Bennett calls the “Leibnizian interpretation.” Locke uses the word ‘substance’ in two senses. (...) Call substance in the first sense “individual substance” and in the second sense “pure substance.” I will discuss the seven main parts of Hume’s view: (I) that we have no idea of pure substance, (II) that there is no complex individual substance, except in a loose sense, (III) that the fiction of complex individual substance arises in a way parallel to that of the fiction of identity through time, and (IV) results in the fiction of pure substance, (V) that simple qualities and perceptions satisfy the definition of individual substance, (VI) that there is no such thing as inherence, and (VII) that there is no such thing as pure substance. Hume’s views on substance are often mentioned without being discussed in detail. Kemp Smith, Stroud, and Garrett, for example, mostly summarize various claims of Hume in the course of expounding on his theory of the idea of personal identity. In contrast, I will attempt to present a systematic treatment of Hume on substance as a refutation of Locke. (shrink)

In the Discourse on Metaphysics Leibniz put forward his famous complete-concept definition of substance. Sometimes this definition is glossed as stating that a substance is an entity with a concept so complete that it contains all its predicates, and it is thought that it follows directly from Leibniz’s theory of truth. Now, an adequate definition of substance should not apply to accidents. But, as I shall point out, if Leibniz’s theory of truth is correct then an (...) class='Hi'>accident is an entity with a concept so complete that it contains all its predicates. The aim of this paper is to clarify Leibniz’s notion of substance in the Discourse with a view to explaining how that definition successfully distinguishes between substances and accidents. (shrink)

A. Accident 1. We call an accident (συμβεβηκὸς) that which attaches to something and can be truly asserted, but neither of necessity nor usually.’ (Met. , Δ, 1025a14-16) 2. Whenever an accident attaches to a subject, it attaches to it not because it is that subject (μὴ διότι τοδὶ ἧν). (Met., Δ, 1025a21-24) 3. ‘There is no definite cause for an accident, but a chance cause, i.e. an indefinite one.’ (Met., Δ, 1025a24-25) 4. ‘The accident (...) has happened or exists, -not in virtue of itself, however, but of something else. (Met., Δ, 1025a28-29) 5. ‘What attaches to each thing in virtue of itself but is not in its substance is an accident.’ (Met., Δ, 1025a30-32) 6. ‘An accident is something which, though it is … neither a definition nor a property nor a genus, yet belongs to the thing.’ (To., I, 5, 102b4-) 7. An accident is ‘something which may either belong or not belong to any one and the self-same thing, as (e.g.) being seated may belong or not belong to some self-same thing.’ (To., I, 5, 102b4-) 8. ‘There is nothing to prevent an accident from becoming a temporary or relative property … [and] there is nothing to prevent an accident from becoming both a relative and a temporary property; but a property absolutely it will never be.’ Aristotle’s example is ‘being seated.’ That it is a temporary property is evident. It is also a relative property to those who are not seating when he is the only person sitting. Therefore, it is a temporary and also a relative property. 9. ‘In the case of accidents and in no other it is possible for something to be true in a certain respect and not universally’ and ‘there is nothing to prevent an attribute belonging in part’ so that it is open to dispute accidents e.g. being white or just about a man because he might be white or just in part only. Thus, ‘conversion is not a necessary process in the case of accidents.’ (To., B, 1, 109a9-) B. Essential versus accidental Aristotle distinguishes between two senses of being (τὸ ὄν): accidental sense (κατὰ συμβεβηκός) and essential sense (καθ᾿ αὑτό). The accidental sense happens when something is said to be another thing while there is in fact a third thing which is both of them. Thus, being the first thing is not by itself the second thing. a) Aristotle speaks of three ways in which one thing is said in an accidental sense to be another. (Met., Δ, 1017a8-22) i) When both the subject and the predicate are accidents of a third thing and it is in fact the third thing which ‘is’ by its own. Thus, when it is said e.g. that ‘The just is musical’ it is said accidentally because it is in fact a third thing, Socrates for example, which is just and musical. (Met., Δ, 1017a13-19) ii) When that to which the attribute belongs is. The example of this must be ‘the man is musical’ because it is in fact the man which is. iii) When the subject which has as an attribute that of which it is itself predicated, itself is. The example of this must be Aristotle’s third example: ‘The musical is man.’ b) Aristotle rejects the essential sense to categories: ‘Those things are said in their own right to be that are indicated by the figures of predication; for the senses of ‘being’ are just as many as these figures.’ (Met., Δ, 1017a22-24) Aristotle does not give us any example of the essential sense. Daniel W. Graham suggests that while essential predication is of the logical form of ‘S is P,’ the logical form of the accidental predication is ‘S has P.’ Although he concedes that the is/has contrast is not Aristotle’s, for which he thinks Aristotle prefers ‘said of’/’in’ terminology, he points to the discussion of ‘have’ in Cat. 15 as an evidence of its potential value for an analysis of predication. Kirwan analyses the distinction of essential and accidental predicate as such: while essential predicates ‘are identical with the subjects of which they are predicated; other predications are true in virtue of the fact that two distinct items, e.g. a substance and a quality, ‘coincide.’ Herman Weidemann believes ‘what divides a predicative statement which predicates essentially from a predicative statement which predicates accidentally is the fact that the former does- whereas the latter does not- answer the question what its subject cannot fail to be without ceasing to exist, as the somewhat its subject goes on existing, no matter what happens to be true of it during its existence, or, what kind of things its subject must be in order to be identifiable as one and the same object as long as it exists.’ C. Essential 1. Either the formula or the name of the subject of an essential attribute is involved in it. For example, animal is involved in female but not in white. (Met., Z, 1030b23-26) 2. Essential attributes, combined together, form a unity. Thus, e.g. animal and biped form a unity because they are both essential of man. (OI., II, 11, 21a14-16) 3. Aristotle distinguishes between two kinds of essential attributes (PsA., A, 4, 73a34-b3; 22, 84a12-17): a) Those attributes that belong to their subject as elements in its essential nature as e.g. line belongs to triangle or point to line. Here the very being of triangle is composed of line or that of line is composed of points: line is contained in the formula of triangle and point in that of line. b) Those attributes whose subjects are contained in their own defining formula as e.g. straight is an essential attribute of line because line is part of the defining formula of straight or odd belongs to number because number is part of the defining formula of odd. Every attribute that is related in neither of these two ways to its subject, it is not an essential but an accidental attribute. (PsA., A, 4, 73b3-5) 4. That attribute which is not predicated of a subject other than itself is an essential attribute. A substance cannot be predicated of anything but itself and is, thus, essential. (PsA., A, 4, 73b5-10) 5. A thing consequently co-stated with anything is essential. For example, if a beast dies when its throat is being cut, its death is also essentially connected with the cutting because the cutting was the cause of death, not death a coincidence of cutting. (PsA., A, 4, 73b10-15) 6. Essential attributes in both of this sense, either in the sense that their subjects are contained in them or in the sense that they are contained in their subjects, are necessary as well as consequently co-stated with their subjects. The reason is that it is impossible for them to inhere in their subjects either simply or in the qualified sense (that one or other of a pair of opposites must inhere in the subject as e.g. one of straight or curve must be necessarily predicable of a line or one of odd or even of number). (PsA., A, 4, 73b16-21; 6, 74b5-12; B, 96b1-5) 7. Only those attributes that are within a genus are essential and possessed by their respective subjects as such and, thus, are necessary. Thereupon, both the conclusion and the premises of demonstrations which produce scientific knowledge are essential. (PsA., A, 6, 75a28-31) Therefore, ‘the extreme and the middle terms must be drawn from the same genus; otherwise, as predicated, they will not be essential and will thus be accidents.’ (PsA., A, 6, 75b10-12) Also, the theorems of a science can be demonstrated by means of another science only when they are related as subordinate to superior. (PsA., A, 6, 75b13-) 8. Our knowledge of the connexion of an attribute with a subject is essential only when ‘we know that connexion through the middle term in virtue of which it inheres (καθ᾿ὃ ὑπἀρχει), and as an inference from basic premises essential and ‘appropriate’ to the subject.’ The essential belonging of the middle to the minor has a necessary connexion with its belonging to the same genus of the major and minor: ‘If that middle term also belongs essentially to the minor, the middle must belong to the same genus as the major and minor terms (ἀνάγκη τὸ μέσον ἐν τῇ αὐτῇ συγγενείᾳ εἶναι). (PsA., A, 9, 76a4-9) 9. In an essential predication, the predicate is signified of a subject identical with itself or with a species of itself. Since only predicates which signify substance signify that the subject is identical with the predicate or with a species of the predicate, predicates signifying substance are essentially predicated and any other predicate is accidental or coincidental. Thus, while animal is essentially predicated of man because man is identical with a species of animal, white is accidentally predicated of man because man is neither identical with white nor a species of it. (PsA., A, 22, 83a24-32) Weidemann discusses the confusion between essential predications and statements of identity. He warns that the expression ‘(to be) just what a man is’ (analogous to the Greek phrase ‘(εἶναι) ὃπερ ἀνθρώπον) ought not to be confused with the expression ‘just what it is for a man to be,’ which renders the phrase τὸ ὃπερ ἀνθρώπῳ εἶναι’ (1007a22, 23, 27-28); a confusion Kirwan discusses. 10. ‘Demonstration proves the inherence of essential attributes in things.’ (PsA., A, 22, 84a11-12) 11. ‘Nothing which does not happen to belong to the genus is essentially the genus; e.g. a white man is not essentially a color.’ Thus, while justice falls within the genus, a just man does not. (To., Γ, 1, ^116a24-) 12. There is no syllogism of essence (ti esti). Nevertheless, we come to know ti esti through a demonstration. (93b15-20; cf. 93b25-28) D. Accidental 1. An accidental attribute cannot be predicated of a subject universally. Thus, we cannot say ‘Every man is musical.’ The reason is that ‘universal attributes belong to things in virtue of their nature.’ Therefore, accidental predicates are predicated only of the individuals. (Met., Δ, 1017b33-1018a2) 2. An accidental is a mere name. (Met., E, 1026b13-) 3. An accidental is obviously akin to non-being. (Met., E, 1026b21) 4. ‘That which is neither always nor for the most part we call accidental.’ (Met., E, 1026b27-33) 5. The matter (ὕλη) is the cause of the accidental because it is matter which is capable of being otherwise than as it for the most part is. (Met., E, 1027a13-16) In fact, there is cause or principle of the incidental of the same kind as there are of the essential because if there were, everything would be of necessity. (Met., K, 1065a6-8) The causes of accidental are unordered and indefinite. (Met., K, 1065a25-26) 6. Since all science is either of that which is always or of that which is for the most part, there is no science of the accidental. (Met., E, 1027a19-24; K, 1064b30-1065a6) Therefore, since an accident may also not inhere and, thus, it is impossible to prove its inherence as a necessary conclusion, there is no demonstrative knowledge of accidents. (PsA., A, 6, 75a18-23) 7. The accidental is not necessary but indeterminate. (Met., K, 1065a24-26) 8. The co-positing of a subject and a predicate which are accidental either to the same subject or to one another, whiteness and being musical for instance, does not form a unity. (OI, II, 11, 21a7-14) 9. Negative predicates, i.e. predicates including a ‘not,’ are accidental predicates. Thus, if good be an essential predicate of a subject, ‘not bad’ cannot be essential but is accidental. (OI., II, 14, 23b15-20) 10. Every attribute which does not belong to its subject in either of two senses of essential attribute (cf. PsA., A, 4, 73a34-b3), namely, belonging to their subjects as an element of its formula or their subjects belonging to them as an element of them, is an accidental attribute. (PsA., A, 4, 73b3-5) 11. Those attributes that are predicated of a subject other than themselves are accidental attributes. Thus, everything except substance is an accidental in this sense. (PsA., A, 4, 73b5-10) 12. A thing not consequentially connected with anything is accidental. For example, in ‘while he was walking it lightened,’ the lightening was not due to his walking but was a coincidence. (PsA., A, 4, 73b10-15) 13. Those attributes that are not within a genus are accidental attributes. (PsA., A, 6, 75a28-31) Therefore, the extreme and middle terms that are not drawn from the same genus are accidents. (PsA., A, 6, 75b10-12) Moreover, to apply an attribute to subjects in different genera afford knowledge of the attribute, only as inhering accidentally, not as belonging to its subject as such.’ (PsA., A, 9, 75b38-76a3) . (shrink)

Must we choose between reducing material substances to collections of properties, a’ la Berkeley and Hume or positing bare particulars, in the manner of Locke? Having repudiated the notion that a substance could simply be a collection of properties existing on their own, is there a viable alternative to the Lockean notion of a substratum, a being essentially devoid of character? E.J. Lowe and Michael Loux would answer here in the affirmative. Both recommend hylomorphism as an upgrade on the (...) metaphysics of the British empiricists: treating a material substance as its essential 'form,' this embodied 'substance' universal being, in turn, the substratum in which its 'accidents' inhere. Here, I evaluate this Aristotelian metaphysics, identifying the advantages it enjoys over the empiricist's alternatives pertaining to dependence, unity, identity, change, and the distinction between essential and accidental properties. I also develop solutions to the two problems that Loux sees it posing. (shrink)

A distinction attributed to Gregory Palamas involves claiming that God’s essence and energies/activities are distinct, yet equally ‘uncreated.’ Traditionally, this Palamite distinction was attacked by some Latin theologians as compromising divine simplicity. A classical view holds that no properties really inhere in God, because God enters into no composition of any kind, including composition of substance and accident. God’s energies/activities seem like properties inhering in God or otherwise composing some kind of part of God. I will argue that, (...) contrary to appearances, the Palamite distinction is a consequence of commitment to a classical view of divine simplicity. (shrink)

It is universally acknowledged that, for St. Thomas, there is a distinction between human persons or supposits and their natures or essences. But it is usually thought that there is no parallel distinction between the angelic person or supposit and its nature. Yet, as this paper argues, Aquinas consistently puts forward just such a distinction. This paper surveys Aquinas’s arguments for the unique identity of God with his essence and the corresponding distinctions between created persons and their essences, showing in (...) the process how the distinction found in angels differs from that found in material substances. It is important to recognize the distinction between supposit and nature in angels not only for its own sake as it touches on his understanding of created persons—human or angelic—but also insofar as it sheds light on Aquinas’s understanding of divine simplicity and of other act-potency compositions in creatures. (shrink)

In In V Metaphysics, lec. 9, Aquinas distinguishes between “being by accident” (ens per accidens) and “being by itself” (ens per se) and includes the nine accidental categories under the latter. But isn’t substance a being per se while accidents are, by definition, accidental beings? Several authors—including Ralph McInerny, Paul Symington, and Greg Doolan—have offered explanations of this strange classification. Drawing on an overlooked parallel text in the Posterior Analytics commentary and on Aquinas’s critique of Avicenna’s understanding of (...) accidental denominatives, this paper presents an alternative explanation of the lecture. In the process, it clarifies how Aquinas views the relation of the ten categories to predication and suggests important implications for how we should understand the analogy of being and the phrase “substantial being” (esse substantiale). -/- [Winner of the Leo Elder's Junior Scholar Essay Contest (2024)]. (shrink)

It may come as a surprise to readers familiar with the life and work of the Arts Master that he discusses the Eucharist at all. As he likes to remind us, theological topics are generally out of his wheelhouse. Even so, in his Questions on the “Metaphysics” of Aristotle (QM) 4.6, Buridan takes the sacrament of the Eucharist as a key data point in his discussion of Aristotle’s Categories. In the Eucharist, the accidents of the bread and wine—their color, texture, (...) and so on—remain intact, but the underlying substance is transubstantiated into the body and blood of Christ. Accordingly, God can preserve accidents independent of their underlying substance. Therefore, for our part we can use accidental terms, like whiteness, without connoting any substances, like communion bread. Moreover, it follows that, contrary to Aristotle, substance and the accidental categories are not the most general genera. Instead, being (ens) is, as Buridan concludes. Here, I trace Buridan’s thought on the metaphysical and semantic matters of substance in light of the Eucharist. The Eucharist is for him not only a theological truth, but a metaphysical and semantic datum as well. I conclude by asking why Buridan did not take any and all questions about the Eucharist to be out of his ken. What does this tell us about his attitude toward theology? This paper also includes, as an appendix, the first ever English translation of the question under discussion (QM 4.6): “Does the term being (ens) signify substances and accidents by one single concept or notion?”. (shrink)

ArgumentThis article examines the conception of elements in the natural philosophy of Nicolaus Taurellus (1547–1606) and explores the theological motivation that stands behind this conception. By some of his early modern readers, Taurellus may have been understood as a proponent of material atoms. By contrast, I argue that considerations concerning the substantiality of the ultimate constituents of composites led Taurellus to an immaterialist ontology, according to which elements are immaterial forms that possess active and passive potencies as well as motion (...) and extension. In Taurellus's view, immaterialism about elements provides support for the theological doctrine of creationex nihilo. As he argues, the ontology of immaterial forms helps to explicate a sense in which creatures are substances, not accidents of the divine substance. In particular, he maintains that immaterial forms stand in suitable relations of ontological dependence to God: creation dependence (since forms would not exist without the divine act of creation), but neither subsistence dependence (since forms continue to exist without continued divine agency) nor activity dependence (since forms are active without requiring divine concurrence). (shrink)

In this essay, I present the basics of Spinoza’s ontology and attempt to go some distance toward clarifying its most pertinent problems. I start by considering the relationship between the concepts of substance and mode; my aim is to show that despite his somewhat peculiar vocabulary there is much here that we should find rather familiar and intelligible, as Spinoza’s understanding of these matters harks back to the traditional distinction of substance and accident, or thing and property. (...) After this I move on to fitting the concept of attribute into Spinoza’s conceptual architecture, and then examine the implications concerning real existents and causation that Spinoza sees these fundamental conceptual commitments as having. The most startling of these implications is of course his monism, according to which there is only one substance. Through this examination it becomes clear that it is only when Spinoza makes the transition from considerations concerning concepts to existential claims that the collision with what was previously commonly accepted becomes inevitable. (shrink)

Stumpf’s doctrine of the categories is of great importance for our understanding of his philosophy. This theme had been widely discussed among German thinkers after Kant; Brentano himself had repeatedly dealt with it since his early works. However, Stumpf considerably diverges from Brentano on this crucial philosophical topic. Although a systematic discussion can be found only in Stumpf’s posthumous Erkenntnislehre, his core ideas on the categories can be traced to his early work on space of 1873. In fact, Stumpf claims (...) that the peculiar relationship between extension and color is analogous to the relationship that holds between substance and accidents. Thus, like any other category, substance empirically stems from perception. Sensory experience, for Stumpf, is made up of perceptual wholes, whose attributes are typically bound to each other, rather than separately given in bundles, as Hume and other associationists used to assume. Thus, the achievements of Stumpf’s holist psychology effectively contributes a solution to this classic metaphysical problem. (shrink)

One of the issues that deeply interested the philosophers of late antiquity, the Ancient Greek Commentators, concerns the priority of substances. While questions concerning ontological priority have recently attracted attention in Aristotelian scholarship and contemporary metaphysics, the Commentators’ discussions have not yet received the attention they deserve. My aim is to start to fill in this gap, by focusing on John Philoponus’s account of the priority of substances in his commentary on Aristotle’s "Categories". In particular, I aim to show how (...) Philoponus develops and defends the view that, while particular substances enjoy priority over accidents and concepts (“universals after the many”), they do not enjoy priority over all other things. Rather, a certain type of universal substance (“universals prior to the many”) enjoys priority over particulars. (shrink)

This study aims to shed light on the position of Imām al-Māturīdī (d. 333/944) on atomism. It consists of three sections. The first section will delineate some theories of matter along with the meaning of certain pertinent terms, which were widely accepted during al-Māturīdī’s time. The following section will discuss whether Imām al-Māturīdī understood such notions as body (jism), substance (jawhar), and accident (ʿaraḍ) within the frame of traditional Islamic atomism. Moreover, this section will give some information on (...) how al-Māturīdī approached the issues pertaining to physics and cosmology. The last section will cover the development of atomism in the Māturīdiyya kalām school after Imām al-Māturīdī. (shrink)

The present paper describes an ”ontological square’ mapping possible ways of combining the domains and converse domains of the relations of inherence and denomination. In the context of expounding and extending medieval appropriations of elements drawn from Aristotle’s Categories for theological purposes, the paper uses this square to examine different ways of defining Substance-terms and Accident-terms by reference to inherence and denomination within the constraints imposed by the doctrine of the Trinity. These different approaches are related to particular (...) texts of thinkers including Bonaventure and Gilbert of Poitiers. (shrink)

This paper aims to suggest a new approach to Plato’s theory of being in Republic V and Sophist based on the notion of difference and the being of a copy. To understand Plato’s ontology in these two dialogues we are going to suggest a theory we call Pollachos Esti; a name we took from Aristotle’s pollachos legetai both to remind the similarities of the two structures and to reach a consistent view of Plato’s ontology. Based on this theory, when Plato (...) says that something both is and is not, he is applying difference on being which is interpreted here as saying, borrowing Aristotle’s terminology, 'is is (esti) in different senses'. I hope this paper can show how Pollachos Esti can bring forth not only a new approach to Plato’s ontology in Sophist and Republic but also a different approach to being in general. -/- Keywords Plato; being; difference; image; pollachos esti; pollachos legetai 1. Being, Not-Being and Difference The three dialogues where the notion of "difference" attaches to the notion of being, namely Parmenides II, Sophist and Timaeus,and specifically the first two we try to discuss here. In these dialogues, Plato is going to achieve a new and revolutionary understanding of being which is not anymore based on the notion of "same" as it was before in Greek ontology. It was his discovery, I think, that the notion of being in the Greek ontology is attached to the notion of the "same" and it is because of this attachment that there have always been many problems understanding being especially after Parmenides. That being has always been relying on the "same" can be found out from the way most of the Presocratics understood it. It was based on such a relationship between being and "same" that a later Ionian, Heraclitus of Ephesus, rejected Being by rejecting its sameness: unable to be the same, being cannot be being anymore but becoming. Heraclitus’ criticism of his predecessors’ understanding of being was due to his discovery that what they call being is not the same but different in every moment. The relation of being and sameness reaches to its highest point in Parmenides. What Plato does in using the "difference" is nothing but the establishment of a creative relation between being and "difference". In this new relation, although he is in agreement with Heraclitus that being is not the same but different, he does not do it by use of becoming. He disagrees, on the other hand, with Parmenides that such a relation between being and difference leads to not being. At Parmenides 142b5-6 it is said that if One is, it is not possible for it to be without partaking (μετέχειν) of being (οὐσίας), which leads to the distinction of being and one: -/- So there would be also the being of the one (ἡ οὐσία του̑ ἑνὸς) which is not the same (ταὐτὸν) as the one. Otherwise, it wouldn’t be its being, nor the one would partake of it. (142b7-c1) -/- The fact that what is (ἔστι) signifies (σημαῖνον) is other (ἀλλο) than what One signifies (c4-5), is being taken as a reason for their distinction. The conclusion is that when we say 'one is', we speak of two different things, one partaking of the other (c5-7). Having repeated these arguments of the otherness of being and one at 143a-b, Parmenides says that the cause of this otherness can be neither Being nor One but "difference": -/- So if being is something different (ἕτερον) and one something different (ἕτερον), it is not by being one that the one is different from being nor by its being being that being is other than one, but they are different from each other (ἕτερα ἀλλήλων) by difference (τῷ ἑτερῳ) and otherness (ἄλλῳ). (143b3-6) -/- The fifth hypothesis, 'one is not' (160b5ff.) is also linked with the notion of difference. When we say about two things, largeness and smallness, that they are not, it is clear that we are talking about not being of different (ἕτερον) things (160c2-4). When it is said that something is not, besides the fact that there must be knowledge of that thing, we can say that it entails also its difference: 'difference in kind pertains to it in addition to knowledge' (160d8). Parmenides explains the reason as such: -/- For someone doesn’t speak of the difference in kind of the others when he says that the one is different from the others, but of that thing’s own difference in kind. (160e1-2) -/- Although the theory of being as "difference" is not fulfilled yet, an exact look at what occurs in Sophist can make us sure that this was the launching step for "difference" to get its deserved role in Plato’s ontology. The notion of the "difference" is not yet well-functioned in Parmenides because we can see that being is still attached to the same: -/- For that which is the same is being (ὄν γὰρ ἐστι τὸ ταὐτόν) (162d2-3). -/- The notion of difference in Sophist is the key element based on which a new understanding of being is presented and the problem of not being is somehow resolved. The friends of Forms, the Stranger says, are those who distinguish between being and becoming (248a7-8) and believe that we deal with the latter with our body and through perception while with the former, the real being (ὄντως οὐσίαν) with our soul and through reasoning (a10-11). Being is then bound with the "same" by adding: -/- You say that being always stays the same and in the same state (ἣν ἀεὶ κατὰ ταὐτὰ ὡσαύτως ἔχειν) but becoming varies from one time to another (δὲ ἄλλοτε ἄλλως). (248a12-13) -/- That the theory of the relation of being and capacity (247d8f., 248c4-5) matches more with becoming than with being (248c7-9) must be rejected because being is also the subject of knowledge which is kind of doing something (248d-e). It does, however, confirm that 'both that which changes and also change have to be admitted as existing things (ὄντα) (249b2-3). I believe that this is what Socrates would incline to do at Theaetetus 180e-181a, that is, putting a fight between two parties of Parmenidean being and Heraclitean becoming and then escaping. The solution is that becoming is itself a kind of being and we ought to accept what changes as being. This is what must be done by a philosopher, namely, to refuse both the claim that 'everything is at rest' and that 'being changes in every way' and beg, like a child, for both and say being (τὸὄν) is both the unchanging and that which changes (249c10-d4). This kind of begging for both is obviously under the attack of contradiction (249e-250b). For both and each of rest and change similarly are (250a11-12) but it cannot be said either that both of them change or both of them rest, being must be considered as a third thing both of the rest and change associate with (250b7-10). The conclusion is that 'being is not both change and rest but different (ἕτερον) from them instead' (c3-4). The notion of difference helps Plato to take being departed from both rest and change because it was their sophisticated relation with being that made the opposition of being and becoming. Plato is now trying to separate being from rest and, thus, from "same" by "difference". Such a crucial change is great enough to need a 'fearless' decision (256d5-6). The possibility of being of not being is resulted (d11-12) comes as the answer to the question 'so it’s clear that change is not being and also is being (ἡ κίνησις ὄντως οὐκ ὄν ἐστι καὶ ὄν) since it partakes in being?' (d8-9). It is then by the notion of difference that becoming is considered as that which both is and is not. This coincidence of being and not being about change is apparently similar to Socrates’ paradoxical statement at Republic 477a about what both is and is not. -/- Introduction The Republic 476-477 has always been a matter of controversy mainly about two interwoven points. The first problem is the meaning of being here; that whether what he has in mind is a veridical, existential or propositional sense of being. The second problem is his distinction between the objects of knowledge and opinion which seems to lead, some believe, to the Two Worlds (TW) theory. The crucial point in Republic is that what is considered between knowledge (ἐπιστήμης) and ignorance (α͗γνοιας), namely opinion, must have a different object that leads Socrates to draw the distinction of knowledge and opinion between their objects. The problem of understanding being in the fifth book of the Republic is that when it is said that the Form of F is F but a particular participating in F, both is and is not F, it sounds too bizarre and unacceptable. It cannot be imaginable how a thing can be existent and non-existent at the same time. At the first sight, the only solution seems to be the degrees of existence which is called by Annas (1981, 197) a 'childish fallacy' and a 'silly argument'. Kirwan (1974, 118) thinks that Republic V does not attribute 'any doctrine about existence' to Plato and Kahn (1966, 250) claims that the most fundamental value of einai when used alone (without predicate) is not "to exist" but "to be so", "to be the case" or "to be true". The problems of understanding being in Republic and Sophist besides the difficulties of the existential reading led scholars to the other senses of being, mostly related to the well-known Aristotelian distinctions between different senses of being. In the predicative reading, Annas, for example, refers this difference to the qualified and unqualified application. Whereas the Form of F is unqualifiedly F, a particular instance of F can be F only qualifiedly (1981, 221). Vlastos’ well-known substitution of 'degrees of reality' for 'degrees of being/existence' must be categorized as a predicative reading. Kahn thinks that the basic sense of being for Plato is 'something like propositional structure, involving both predication and truth claims, together with existence for the subject of predication' (2013, 96). Believing that the complete-incomplete distinction terminology is misleading about Plato, he thinks that semantic functions are only second-order uses of the verb and it is the predicative or incomplete function which is fundamental. Suggesting a veridical reading, Fine (2003, 70 ff) thinks that while both existential and predicative readings separate the objects of knowledge and belief, it is only her reading which does not force such separation of the objects and thus does not imply TW. Stokes (1998, 266) thinks that though Fine is right saying that Plato does not endorse TW in book V, she is wrong in rejecting existential in favor of the veridical reading. The reception of existential reading can be seen more obviously in Calvert who thinks, in agreement with Runciman, that 'it would be safer to say that Plato’s gradational ontology is probably not entirely free from degrees of existence' (1970, 46). At Sophist 254d-e Plato singles out five most important kinds (or Forms!?) in which the same (ταὐτὸν) and difference (θάτερον) are regarded besides being, rest and change. They are, therefore, neither the same nor the difference but share in both (b3). Being (τὸ ὄν) cannot be the same also because if they 'do not signify distinct things' both change and rest will have the same label when we say they are (255b11-c1). We have then four distinct kinds, being, change, rest and same, none of them is the other. The case of difference is more complicated. When the stranger wants to assess the relation of being and difference, he can say simply neither that they are distinct nor that they are not. He has to make an important distinction inside being to get able to draw the relation of being and difference: -/- But I think you'll admit that some of the things that are (τῶν ὄντων) are said (λέγεσθαι) by themselves (αὐτὰ καθ’ αὑτά) but some [are said] always referring to (πρὸς) other things (ἄλλα) (255b12-13) -/- The difference is always said referring to other things (τὸδέγ’ ἕτερον ἀεὶ πρὸς ἕτερον) (255d1). It pervades all kinds because each of them should be different from the others and is so due to the difference and not its own nature (253e3f.) After asserting that change is different from being and therefore both is and is not (256d), the difference is described as what makes all the other kinds not be, by making each different from being. Given that all of them are by being, this association of being and difference is the cause of their being and not-being at the same time, the issue that its version at RepublicV made all those controversies we discussed above: -/- So in the case of change and all the kinds, not being necessarily is (Ἔστιν ἄρα ἐξ ἀναγκης τὸ μὴ ὄν). Τhat’s because as applied to all of them, the nature of the difference (ἡ θατέρον φύσις) makes each of them not be by making it different from being. And we’re going to be right if we say that all of them are not in the same way. And conversely [we’re also going to be right if we say] that they are because they partake in being. (Sophist 256d11-e3) -/- Plato’s new construction of five distinct kinds and the role he gives to thedifference among them is aimed to resolve the old problem of understanding being which has always been annoying from the time of Heraclitus and Parmenides. Both the ontological status of becoming and that of not being were, in Plato’s mind, based on the absolute domination of the notion of the Same over being. Now, not only becoming is understandable as being but also not being which is not the contrary of being anymore but only different (ἕτερον) (257b3-4). Though I agree partly with Frede that the account of not being which is needed for false statements is more complicated than just saying, as Cropsey (1995, 101) says, that Plato is substituting 'X is not Y' with 'X is different from Y', I totally disagree with him that when we say X is not beautiful, Plato could not have thought that it is not a matter of its being different from beautiful because 'it would be different from beauty even if it were beautiful by participation in beauty' (1992, 411). Conversely, as we will discuss, it is exactly the relation of the beautiful thing, X, and the beautiful itself, in which X shares that is to be solved by the notion of not being as difference. Though it is beautiful because of sharing in beauty, X is not beautiful because it is different from beautiful itself. What the difference is to do is to show how something can both be and not be the same thing. The difference is what makes one thing both be and not be a certain other thing. This equips the difference with the ability to explain a certain thing’s not-being when it is. Thanks to the notion of difference, it is now possible to explain not only not being but also the simultaneous being and not being of a thing: 'What we call "not-beautiful" is the thing that ἕτερόν ἐστιν from nothing other than του̑ καλου̑ φύσεως' (257d10-11). The result is that not beautiful happens to be (συμβέβηκεν εἶναι) one single thing among kinds of beings (τι τῶν ὄντων τινὸς ἑνὸς γένους) and at the same time set over against one of the beings (πρός τι τῶν ὄντων αὖ πάλιν ἀντιτεθὲν) (257e2-4) and thus be something that happens to be not beautiful (εἶναί τις συμβαίνει τὸ μὴ καλόν); a being set over against being (ὄντος δὴ πρὸς ὄν ἀντίθεσις) (e6-7). Neither the beautiful is more a being (μα̑λλον ... ἐστι τῶν ὄντων) nor not beautiful less (e9-10) and thus both the contraries similarly are (ὁμοίως εἶναι) (258a1). This conclusion, it is emphasized again (a7-9), owes to θατέρου φύσις now turned out as being. Therefore, each of the many things that are of the nature of the difference and set over each other in being (τῆς τοῦ ὄντος πρὸς ἄλληλα ἀντικειμένων ἀντίθεσις) is being as being itself is being (αὐτοῦ τοῦὄν τοςοὐσία ἐστιν) and not less. They are different from, and not the contrary of, each other (a11-b3). This is exactly τὸμὴὄν, the subject of the inquiry (b6-7). Hence, not being has its own nature (b10) and is one εἶδοςamong the many things that are (b9-c3). Such far departing from Parmenides’ ontological principle is done on the basis of the nature of the difference. It was the discovery of such a notion that made the stranger brave enough to say that not being is each part of the nature of the difference that is set over against being (258d7-e3, cf. 260b7-8). That the relation of being and difference is difference is the key element of the new ontology. The difference is, only because of its sharing in being, but it is not that which it shares in but different from it (259a6-8). Not being is exactly based on this difference: ἕτερον δὲ τοῦ ὄντος ὄν ἔστι σαφέστατα ἐξ ἀνάγκης εἶναι μὴ ὄν (a8-b1). 2. Difference and the Being of a Copy We discussed above that the sense of being of particulars in Republic V made so many debates that whether being is there used in an existential sense or not. Particulars in Republic are regarded as images in the allegories of Line and Cave. The being of an image/copy makes, thus, the same problem. Plato’s analogy of original -copy for the relation of Forms and their particulars in Republic has obviously a different attitude to being. The main question is that what is the ontological status of a copy in respect of its original? Are there two kinds of being, 'real being' versus 'being' as Ketchum says (1980, 140) or only one kind? What is the difference of being in an original and its copy? Is it a matter of degrees of being or reality as some commentators have suggested? Is it a matter of being relational? By reducing the ontological issue to an epistemological one, Vlastos’ suggestion of degrees of reality in an article with the same name does neither, I think, pay attention to the problem nor resolve it. He agrees that Plato never speaks of "degrees" or "grades" of reality (1998, 219). What allows him to entitle it as such are some of Plato’s words in Republic as well as Plato’s words in some other dialogues (1998, 219). When Plato states that the Forms only can completely, purely or perfectly be real he means, Vlastos says, they are cognitively reliable (1998, 229); an obvious reduction of the issue to an epistemological one. He thinks that when in Republic we are being said that a particular’s being F is less pure than its Form, it is because it is not exclusively F, but it is and is not F and this being adulterated by contrary characters is the reason of our confused and uncertain understanding of it (1998, 222). Ketchum rightly criticizes Vlastos’ doctrine in its disparting from ontology thinking that 'to understand Plato’s talk of being as talk of reality is to obscure the close relation that exists between "being" and the verb "to be"' (1980, 213). He thinks, therefore, that οὐσία must be understοοd as being rather than reality, τὸὄν as "that which is" and not "that which is real" and … (ibid). His conclusion is that degrees of reality cannot interpret Plato correctly and we must accept degrees of being. Allen believes that a 'purely epistemic' reading of the passage in Republic is patently at odds with Plato’s text (1961, 325). He thinks that not only degrees of reality but also degrees of reality must be maintained (1998, 67). What Cooper suggests gets close to this paper’s solution: -/- Plato does not I think wish to suggest that existence is a matter of degree in the way in which being pleasant or painful is a matter of degree. Rather there are different grades of ontological status. (1986, 241) -/- A more ontological solution for the problem of understanding the being of a copy and its relation with the being of its original is suggested by the theory of copy as a relational entity. Based on this interpretation, 'the very being of a reflection is relational, wholly dependent upon what is other than itself: the original…' (Allen, 1998, 62). As relational entities, particulars have no independent ontological status; they are purely relational entities which derive their whole character and existence from Forms (ibid, 67). Although these relational entities are and have a kind of existence, we must also say that 'they do not have existence in the way that Forms, things which are fully real, do' (ibid). Allen (1961, 331) extends his theory to Phaedo where it is said that particulars are deficient (74d5-7, 75a2-3, 75b4-8), 'wish' to be like (74d10) or desire to be of its nature (75a2); an extension that, like F.C. white (1977, 200), I cannot admit. He correctly states that Plato did not start out with a doctrine of particulars as images and semblances but come to such a view after Phaedo, or perhaps after Republic V (1977, 202). Though we may not agree with him about Republic V, if we have to consider its last pages also, we must agree with him that not only the ontology of Phaedo but also that of Republic II-V (except the last pages of the latter book) are somehow different from (but at the same time appealing to) the ontology of original-copy which should exclusively assign to Sophist, Timaeus and RepublicVI-VII besides the last pages of book V. The answer to the problem of Plato’s sense of being in RepublicV can be reached only if we read Republic V based on and as following Sophist. We can find out his meaning of that which both is and is not only by the ontological status he assigns to a copy in Sophist. The kind of being of a copy in Sophist reveals as Plato’s key for the lock of the problem of not being. Let’s see how the ontological status of a copy is the critical point of Plato’s ontology. In the earlier pages of Sophist, we are still in the same situation about not being. To think that that which is not is is called a rash assumption (237a3-4) and Parmenides’ principle of the impossibility of being of not being is still at work (a8-9). At 237c1-4, the problem of "not being" is noticed in a new way which shows some kinds of a more realistic position to the problem of not being. Nevertheless, not being is still unthinkable, unsayable, unutterable and unformulable in speech (238c10). Soon after mentioning that it is difficult even to refuse not being (238d), the solution to the problem appears: the being of a copy (εἴδωλον) (239d). A copy is, says Theaetetus, something that is made referring to a true thing (πρὸς τἀληθινὸν) but still is 'another such thing (ἕτεροντοιου̑τον)' (240a8). Nevertheless, this 'another such thing' cannot be another such real or true thing. In answer to the question of the Stranger that if this 'another such thing' is the true thing (240a9), Theaetetus answers: οὐδαμῶς ἀληθινόν γε, ἀλλ’ ἐοικὸςμὲν (240b2). A copy’s being 'another such thing' does not mean another true thing but only a resemblance of it. Not only is not a copy another true thing besides the original, but it is the opposite of the true thing (b5) because only its original is the thing genuinely and being a copy is being the thing only untruly. The word ἐοικὸς is opposed to ὄντως ὄν in the next line (240b7): 'So you are saying that that which is like (ἐοικὸς) is not really that which is (οὐκ ὄντως [οὐκ] ὄν)'. But still a copy 'is in a way (ἔστι γε μήν πως)' (b9). While it is not really what it is its resemblance, it has its own being and reality because it really is a likeness (εἰκων ὄντως) (b11). The Stranger asks: -/- So it is not really what is (οὐκ ὄν ἄρα [οὐκ] ὄντως ἐστὶν) but it really is what we call a likeness (ὄντως ἣν λέγομεν εἰκόνα)? (b12-13) -/- This is Plato’s innovative ontological solution to the problem of not being. Theaetetus’ answer confirms this: 'Maybe that which is not is woven together with that which is' (c1-2). Therefore, a copy neither is what really is nor is not-being but only is what in a way is. Thanks to the ontological status of a copy, the third status intermediate between being and not being is brought forth. The essence of an image, in Kohnke’s words, does not consist 'solely in the negation of what is genuine and has real being' because otherwise 'it would be an ὄντως οὐκ ὄν,essentially and really a not being' (1957, 37). The characteristics of a copy can be summed up as folows: i) A copy is a copy by referring to a true thing (πρὸς τἀληθινὸν). ii) A copy is different from that of which it is a copy (ἕτερον). iii) A copy is not itself a true thing (ἀληθινόν) as that of which it is a copy but only that which is like it (ἐοικὸς). iv) It is not really that which really is (ὄντως ὄν) but only really a likeness (εἰκων ὄντως). The conclusion is that: v) A copy in a way (πως) is that means it both is and in not, the product of interweaving being with not being. This leads to the refutation of father Parmenides’ principle, accepting that 'that which is not somehow is (τό τε μὴ ὄν ὡς ἔστι)' and 'that which is, somehow is not (τό ὄν ὡς οὐκ ἔστι) (241d5-7). Besides copies and likenesses (εἰκόνων), we have also imitations (μιμημάτων) and appearances (φαντασμάτων) as the subjects of this new kind of being and thus false belief (241e3). In Timaeus, the world of becoming which cannot correctly be called and thus we have to call it "what is such" (τὸ τοιου̑τον) (49e5) or "what is altogether such" (τὸ διἀ παντὸς τοιου̑τον) (e6-7), consists solely of imitations (μιμημάτα) (50c5) which are identifiable only by the things that they are their imitations. The word τοιου̑τον which had been used to determine the situation of a copy in respect of its original, now becomes the definition of the world of becoming in which everything is an image of another thing, a Being, that stays always the same and is different and separated from its image. Cherniss, in my view rightly, draws attention to the very important point about the ontological status of an image that can at the same time be considered a criticism of the relational theory. What we are being said in Timaeus, he thinks,cannot be explained by saying that an image is not self-related and making its being relational. What is crucial about an image is that it 'stands for something, refers to something, means something and this meaning the image has not independently as its own but only in reference to something else apart from it' (1998, 296). This function finds its best explanation in the theory we are to suggest in the following. 3. πολλαχῶς ἔστι The best way to understand the ontological status of an image in Plato is to see first how his most clever pupil, Aristotle, resolved the same problem that Plato brought his theory of image for its sake. Aristotle’s theory of pollachos legetai is a brilliant and, at the same time, deviated version of Plato’s theory that is able, however, to help us read Plato in a better way. We discuss Aristotle’s theory to reach to a full understanding of Plato’s theory because it is, firstly, constructed in Aristotle in a more clear way and, secondly, it can also be taken as an evidence that our reading of Plato is legitimate. The phrase τὸ ὄν πολλαχῶς λέγεται, a so much repeated phrase in Aristotle’s works, is his resolution for some of the ontological problems of his predecessors all treating being as if it has only one sense. Aristotle is right in his criticism of the philosophical tradition specially Heraclitus, Parmenides and Plato since all did presuppose only one sense for being and his theory is, thus, a creative and revolutionary solution for many problems that all the past philosophers were stuck in. But it is at the same time somehow a borrowed theory. As we will discuss, both the structure of the doctrine and the problems it tries to resolve are the same as Plato’s doctrine (and even is comparable in its phraseology) though it is in Aristotle, as can be expected, a more clear and better structured doctrine. 1) Associated with the theory of pros hen and the theory of substance, the theory of several senses of being provides a structure which, I insist, is the best guide to understand Plato’s theory of Being in Sophist, Timeaus and Republic. a) Although the theory of pollachos legetai is not necessarily based on the theory of pros hen, they become tightly interdependent about being: -/- Being is said in many ways/senses (τὸ δὲ ὄν λέγεται μὲν πολλαχῶς) but by reference to one (πρὸς ἕν) [way/sense] and one kind of nature (μίαν τινὰ φύσιν). (Metaphysics 1003a33-34) -/- The doctrine of pros hen which is Aristotle’s initiative third alternative besides the homonymous and synonymous application of words, is primarily a linguistic theory that tries to provide a new theory to explain the different implementations of the same word. The pros hen implementation of being is to provide an alternative for the theory of the synonymous (in Plato: homonymous) implementation of being which says being is said in one sense (kath hen) (1060b 32-33). That both the pros hen and the kath hen implementation of a word has one thing (hen) as what is common, makes them in opposition to the homonymous implementation which does not consider anything in common. Whereas both pros hen and kath hen assume a common nature, with which all the implementations of the word have some kind of relation, their difference is that while kath hen takes all the implementations of the word as the same with the common nature, pros hen makes them different. Substance is called πρῶτον ὄν because it is said to be primarily: -/- For as is (τὸ ἔστιν) is predicated of all things, not however in the same way (οὐχ ὁμοίως) but of one sort of thing primarily and of others in a secondary way. So too τὸτί ἐστιν belongs simply (ἁπλῶς) to substance but in a limited sense (πῶς) to the others [other categories] (1030a21-23). -/- The word ἁπλῶς standing against κατὰ συμβεβηκός tries to make substance different from the accidents. When we are being said that τὸ ὄν πολλαχῶς λέγεται, it means that only the substance that is simply (ἁπλῶς) the ἕν, the common nature, τὸὄν. When we use the word 'being' about a substance, the being is said differently from when we use 'being' about an accident. The distinction between the substance and the other categories is a distinction between what simply is said to be and what only with reference to (pros) the substance is said to be. The doctrine of pros hen, changing kath hen to pros hen in respect of to on, makes a distinction that wants to show that while there is a kind of implementing the word being that is simply being, there is another kind which is called being only by reference to that which is simply being. In the doctrine of pros hen it is not so that all the things that are said to be are only by reference to a common one thing, but that while one thing is called being because it is that thing itself, the other things are called so without being that thing itself but only by referring to it. At the very beginning of book Γ, it is said that: -/- Being is said in many senses but all refer to one arche. Some things are said to be because they are substances, others because they are affections of substances, others because they are a process towards substances or destructions or privations or qualities of substances … (1003b5-9, cf. 1028a18-20) -/- Substance is what really is said to be and all other things that are said to be are said only in favor of it. This difference of substance from all other senses of being is what is, I believe, primarily aimed in Aristotle’s interrelated theories of pollachos legetai,pros hen and the theory of substance. b) The difference of the implementation of being in the case of substance and the accidents goes so deep that while substance is considered as the real being, the accidents are almost not being. An accident is a mere name (Metaphysics 1026b13-14) and is obviously akin to not being (b21). Aristotle adds that Plato was 'in a sense not wrong' saying that sophists deal with not being (τὸ μὴ ὄν) because the arguments of sophists are, above all, about the accidental (1026b13-16). At the beginning of book , he says about quality and quantity (which look to be more of a being than other accidents) that they are not existent (οὐδ̕ ὄντα ὡς εἰπεῖν) in an unqualified sense (ἁπλῶς) (1069a21-22). The two above-mentioned points, Aristotle’s (a) interwoven theories of pollachos legetai, pros hen and the theory of substance and (b) taking accidents almost as not being, comparedwith substance, brings forth a structure that I shall call Pollachos Legetai (with capital first letters). What is of the highest importance in this structure for me is the difference of substance from accidents and the kind of relation which is settled between them. There is a substance that without any qualification is said to be and the accidents that are said to be only by reference (pros) to it. Adding Aristotle’s point about accidents that they are nearly not being to this relation and difference, we can obviously see how much this structure is close to Plato’s original-copy ontology. We spoke of the relation of being and difference in Plato’s model and the way Plato construes the being of a copy. A copy is a copy only by referring to (pros) a model; it is different from (ἕτερον) that of which it is a copy; it is not itself a true thing as its model and not really that which is (ὄντως ὄν) but only is in a way (πῶς). If we behold the difference of substance and accident in the context of the theory of pollachos legetai and pros hen, we can observe its fundamental similarity with Plato’s original-copy theory in its structure. Allen draws attention to the fact that the relation between Forms and particulars in Plato’s original-copy model is 'something intermediate between univocity and full equivocity' (1998, 70, n. 24) and the same as what Aristotle calls it pros hen (ibid). What made us compare the two structures was not, of course, the complete similarity of two structures (we have to agree with many possible differences of the two theories) but exactly the specific relation between an original and its copy on the one hand, and a substance and its accident on the other hand. As substance and accident do not share a common character and the substance -accident model hints that they stand in a certain relation, there is no common character between the original and copy in Plato’s model as well. Furthermore, their similarity is not confined to their structure only; they are also aimed to solve the same problem. The central point of the theory is that all the predecessors took being in one sense and this was their weakness point. Besides the mentioned above passages about the relation of pollachos legetai and presocratics’, as well as Plato’s, ontology, the relation of the theory with the problem of not being is clear in several passages. In Metaphysics, it is said: 'Being is then said in many senses… It is for this reason that we say even of not being that it is not being' (1003b5-10). Discussing the accidental sense of being, Aristotle points that it is in the accidental way that we say, for example, that not-white is because that of which it is an accident is (1017a18-19, cf. 1069a22-24). We mentioned that he thought Plato was right saying that sophistic deals with not being because sophistic deals with accidental, which is somehow not being (1026b14-16). Plato turned sophistic not-being to what both is and is not and Aristotle to what accidentally is said to be. What helps Aristotle to resolve the problem of not being is his distinction between ἁπλῶς and κατὰ σθμβεβηκός. Aristotle’s "qua" (ᾕ) which is directly linked with his distinction between καθ’ αὑτο λέγεται and κατὰ συμβεβηκός λέγεται, is used to resolve the old problem of coming to be out of not being (Physics 191b4-10). He strictly asserts that his predecessors could not solve the problem because they failed to observe the distinction of "qua itself" from "qua another thing" (b10-13). He then continues: -/- We ourselves are in agreement with them in holding that nothing can be said simply (ἁπλως) to come from not being (μὴὄντος). But nevertheless we maintain that a thing may come to be from not being in an accidental way (κατὰ συμβεβηκός). For from privation which ὅ ἐστι καθ’ αὑτο μὴ ὄν, nothing can become. (Phy. 191b13-16, cf. b19-25) . (shrink)

Commentators have long agreed that Wodeham’s account of objects of judgment is highly innovative, but they have continued to disagree about its proper interpretation. Some read him as introducing items that are merely supervenient on (and nothing in addition to) Aristotelian substances and accidents; others take him to be introducing a new type of entity in addition to substances and accidents—namely, abstract states of affairs. In this paper, I argue that both interpretations are mistaken: the entities Wodeham introduces are really (...) distinct from substances and accidents, but, like substances and accidents, they are concrete (rather than abstract). Moreover, the key to understanding the significance of his theory, I contend, lies in a proper understanding of the theoretical role these entities play in his theory of judgment. (shrink)

Call ‘a substance’ a person who is at home in a relatively stable and unified sense-making framework: a social structure that to some degree specifies which categories are important for interpreting reality, which goals are worth pursing, which character traits are admirable, etc. Call ‘an accident’ a person who is not at home in one such framework. It is tempting to think that being a substance is preferable, but I present some considerations for thinking otherwise. Mexican philosophers (...) Emilio Uranga and Jorge Portilla, I argue, present notions of accidentality as decolonial tools. Uranga’s account enables Mexicans to have positive valuation of their being independently of the approving gaze of the colonizers and their standards of value. Portilla’s thought distinguishes between pernicious accidentality resulting from the disintegration of sense-making frameworks and authentic accidentality as a condition for freedom, self-creation, and ultimately for individual and communal liberation. (shrink)

Divine intention is an important problem for both philosophy and Kalam. This problem has two aspects as the subject and action of the intention. The intention of the subject occurs for the motion or the action itself. The intention of the action is to reach the motion or the action itself. According to this, when a person travels to Mecca to visit Kaaba, the visit is the intention of the subject and the journey is the intention of the action. In (...) this context, does Allah have an intention? And what are the intentions of the actions aris-ing from him? In the Islamic philosophy, the first question is handled as "intention of the sub-ject/divine intention” and the second question as "the intention of the actions/divine inten-tion of the actions". In order to answer the first question, we must examine all types of inten-tions. Each subject takes action to benefit them, to benefit others and to act for the sake of the goodness and kindness. Allah would be dependent being if he acted to benefit him and to make up for a flaw for the first of these intentions. In the second intention type, if Allah acted for someone else, this sit-uation would be on the degree of cause for the subject and he would be passive. For the third intention type which is to act to reach for perfection, it would deem Allah as a dependent being. The above-mentioned intentions are flawed. On the contrary, Allah is perfect and does not need any of these intentions to create. Thus, he is not subject to any of these possible inten-tions. These intentions are only used by imperfect subjects. Of course, it does not mean that Allah does not have intentions. According to Avicenna and Mulla Sadra, intention of Allah is the love towards his essence which is free from any flaw. According to this, all beings are entailed to the divine essence and they exist due to the love of essence of Allah. Allah has a direct intention as well as an indirect one. As mentioned before, Allah is in love with his essence. Allah loves the works and actions of his essence as well, according to the principal that one, who loves the essence, loves the works and actions of that essence as well. In this context, the love of essence of the Allah is a direct intention, while the love of his es-sence's works and actions is an indirect intention. After the divine intention is explained, we must also explain the intention of the divine ac-tions. According to both Mulla Sadra and Avicenna, since possible beings are flawed, their intention is to reach to certain perfections which are compatible with themselves. Mulla Sadra states that Allah bestows motivation to possible beings to advance towards the perfection and he claims that these beings make use of that motivation to be perfect. Therefore, possible beings try to make up their flaws and reach to perfection. Since Allah is the absolute perfect being, the final intention of the possible beings is Allah. In other words, all beings that seek for perfection, take example of him. The other intentions act as a primary tool to reach the final intention. How can flawed beings by essence reach to perfections compatible with them? Avicenna and Mulla Sadra stated different opinions on the search of perfection of the flawed beings in the Islam philosophy. According to Avicenna, beings change with extinction and creation. This change happens by accident and the substance stays constant. In accordance with this approach, this change and development is only possible with accidental motion. It occurs with the replacement between forms. But the theory of the Avicenna has some flaws. Because forms are not the intentions of each other and first hyle is not strong enough to have an intention. Thus, no form is superior to the other. It is also not possible to have substance development because the substance and es-sence of the material are constant. It only goes through changes in appearance with the acci-dental motion. It is clear that the changes in the appearance and the shape are not standards for perfection. On the other hand, Mulla Sadra's development theory, which is based on the fundamentality of existence, existential gradation and substantial motion, suggests that the material world is moving towards the perfection. The motion in the substance of material beings is reason of substantial and accidental developments. All beings try to promote themselves to a higher position by reaching perfection in accordance with their intentions. Thus, the theory of Avicenna focuses on the accidental and formal changes in the search of perfection of the material beings, while Mulla Sadra’s theory explains accidental changes as well as the essential ones. Mulla Sadra does not limit the explanation of which Allah is the intention of possible beings to ontological dimension. According to him, Allah is an intention of possible beings as well. He points out the Hadith Qudsi "I was a hidden treasure, I desired to be recognized so I created the creature" and states that "This (Hadith Qudsi) indicates that he is the subject and the in-tention of the universe in an ontological manner as well as the intention of the universe in an epistemological manner." Thus, according to Mulla Sadra, possible beings have two inten-tions, to reach to and understand Allah. (shrink)

ABSTRACT On the traditional picture, accidents must inhere in substances in order to exist. Berkeley famously argues that a particular class of accidents—the sensible qualities—are mere ideas—entities that depend for their existence on minds. To defend this view, Berkeley provides us with an elegant alternative to the traditional framework: sensible qualities depend on a mind, not in virtue of inhering in it, but in virtue of being perceived by it. This metaphysical insight, once correctly understood, gives us the resources to (...) solve a central problem that still plagues the philosophy of perception—the problem of how, given the power of the mind to create phenomenally rich experiences, ordinary perception can nonetheless be said to acquaint us with the mind-independent world. (shrink)

Will I die? As a hypothesis, in my natural scientific understanding, the psyche, is nothing more than, and exclusively just some states of my living brain – I will die as a result of his death. -/- In presented answer, psyche – itself own immediate reality itself, that is – undoubted. -/- This work was performed in reality “in the first person” (“subjective reality”, “phenomenal consciousness”). To realize, how, what it is the reality of the “in the first person” let’s (...) imagine ourselves as an experimenter, who does not replace reality with reasoning about it. – Now for us, as experimenters, how (what it is) psychic is an immediate and undoubted reality. And the awareness of “I am” is a direct reality, and not knowledge about it, which is always doubtful. That is, in psychic reality, nothing prevents us from answering undoubtedly and definitively the question, asked by this psychic reality itself about itself. The author acts from the position of “being in reality – not going beyond its limits, for example, into philosophy” (philosophy, including methodology, is the replacement of reality itself with always dubious reasoning about reality) – explores phenomenal consciousness (“psychic”) directly and as an immediate reality. That is, this work is the mastery of psychic reality through subjective-psychical experimentation – don’t philosophize, but experiment! -/- For example, Descartes, introspectively experimenting in his own psyche reality with his own psyche, informed us about the immutability of the “mind” and proposed to understand this immutability as our own immortality: “the mind does not represent any combination of accidents, it is a pure substance, and although all its accidents are subject to change, it understands some things, it desires others or feels others, etc. – nevertheless, in itself it does not change; and as for the human body, it changes, if only because they are subject to a change in the shape of some of its parts. It follows from this that the body perishes very easily, while the mind, by its very nature, is immortal” (Декарт Р., p. 13). Note that, Descartes did not realize that he was immortal, but logically deduced his own immortality from the immutability of the mind. However, Descartes’ unchanging “mind” itself is such that there is something to die. And in my natural scientific understanding, the immutability of the mind does not imply its immortality – it will die without changing in its subjective self-perception, while instantly fading away as a result of brain death. Psyche (psychical) – a designation of the fact that this is one’s own immediate reality (that is, undoubtedly) – how (what) I myself am immediately, undoubtedly, and that immediate reality of mine, how and through which I myself and everything in general for me there is, and which is exclusively the only one for me. It should be noted that while I am unconscious (brain injury or dreamless sleep), there is nothing at all. -/- But this does not mean that “I”, having completely gone into oblivion, I'll die. This does not exclude that, I will disappear completely into oblivion and does not exist, but (at the same time) “I” – am. So, let’s define immortality as the impossibility of dying because there is nothing to die (psychic, but is such that there is nothing to die – is immortal) and will make a conclusion important for this work: if I am, as psyche, exclusively only is such that there is something to die and nothing else, then, therefore, my death is not excluded. But am I like that? The idea of this work is that I, as a psyche can to manifest (reveal) and realize myself as such (I such), that there is nothing to die, but (at the same time) I – am. I will realize of myself as immortal – such that to die (to decease) nothing. In other words, if I will approach with a bias and, acting purposefully, will reveal the subjective reality “I (psyche) such is that to die (to decease) nothing, but I – am”, that is – I am immortal, that the hypothesis “I will die” will falsified and excluded. -/- To realize this in the work, it is proposed to use the subject-object model, shift the boundary of “I” to the pole of the subject and become objectless, manifesting (revealing) oneself as such that there is nothing to die. Therefore, the aim (goal) of the work – to realize: I – am, but such that there is to die (decease) nothing. To become objectless and wondering about the possibility to dying, as a result, or I will exclude the immortality of the manifested state, or I will manifest (will reveal) immortal undoubtedly and definitively. -/- At the same time, I, as a subject, am “a necessary pole of subject-object relations. … An object is what the activity of … a subject is directed at. … In fact, everything that exists can become an object. … it is important to keep in mind the fundamental fact that the object is always outside the subject, does not merge with it. This externality also takes place when the subject deals with the states of his own consciousness, his Self ... it is important to emphasize that the relation of the subject and the object is not the relation of two different worlds, but only two poles as part of some unity” (Лекторский В.А., p. 6-7). That is, everything that I find existing in myself, this (such) is as an object. “The subject always refers to all “objects”, but it can never become an object for itself” (Титлин Л.И., p. 23). “… you will not be able to see the seeing vision ...” (Титлин Л.И., p. 40), and in this model this implies the “limit” of the subject. As the limit of the subject, I am “objectless”. And, therefore, in its own pole the subject is “ideal” – in its (own) limit (as its own limit, its own limit), I do not exist for myself (non-existent). -/- Using the “fact of the mobility of the boundaries of the subject” (for example, Тхостов А.Ш., p. 16), I have the opportunity to “pull” the boundary of the “I” into myself and become my own limit. At the same time, it is necessary to realize and accept that “inside” the limit of the subject and behind – “beyond of the subject”, and in general the very “inside” and “behind” in this version – unreality. In such a subject limit, the required paradoxical subjective state is assumed – I exist and see, but at the same time I am such that I do not exist for myself, that is, I am, but (subjectively such that) there is nothing to die (“immortality”). -/- Accordingly, the following tasks are indicated in the experiment: 1. In the object-subject sphere of visual perception, shift (and shift) the boundary of “I” into oneself –» to run into one’s own limit and become one’s own limit (without thickness: without depth, without “from within” and without reverse side) –» 2. Having become your own limit, which in its own limit is, but for myself I do not exist (non-existent), realize: • Myself – I am and this is real; • Will I die? – or there is nothing to die, which of the options is to me, as a psyche (as itself the psychic “I”), is applicable: • or I am such that it is not impossible that I will die, and the realized state is not immortal; • or “I” am such that “I” – am (is reality), but such that myself “I” to die nothing, that is, my own immortality – I am immortal; • Is this real? -/- Instruction for reproducing the target result: sequence of actions and results in a subjective-psychic experiment (hereinafter referred to as SPE) -/- At a distance of 25-40 cm from the wall (so that the wall occupies the entire field of view or its overwhelming part), • Here and now, focus on your face: “I am” – reality (and not is the knowing about it). • In yourself step back and look out of yourself at this wall. • Without moving your head, cover the field of vision with your attention as wide as possible and at the same time perceive everything at once (all this) as a single whole. • Perceive a high and wide wall (option: look up at an angle of 135-150 degrees in front of you) in such a way that the space (volume) surveyed by you without turning your head is a closed asymmetrical “lens” • limited in a circle in the periphery of the field of view, • convex in you; You – the beholder, rearwards concave in self (“subject”) – which one of you are watching? • Without moving your head, perceive the field of view as a single whole –» • Into yourself “draw in” –» “backing away” –» step back from everything –» • lean back into yourself –» up to dead-end limit –» • become a dead end itself – a concave (reflector-like) limit-plane. • You – into yourself – backward concave – a perceiving visual screen (limit-dead end), plane –» • lean back and press –» • something in general somehow inside the dead-end plane and behind the dead-end plane, as well as “inside” and “behind”, “behind the dead-end plane” – unreality; • myself – a dead-end plane without thickness (depth), without “inside”, without a reverse side for oneself. • –» That is, as a psychic reality (what is it psychically) will I die? –» or • Something there is, and that is I will die (it is possible); or • I am such that there is nothing to die, but I – am. or • Subjective-psychic experiment is incomplete… • –» Realize that this is reality (realize the reality of it) and emphasize (answer). -/- As a result, “I” am, but there is nothing to die/not to die, that is, the hypothesis “I will die” is unrealistic. -/- Remarks -/- • Each completed SPE is completed with the target result: “I am such that there is nothing to die, but I – am”. And the that what I will die (not excluded) does not correspond to this, that is unreality and is excluded by this. • But I am not such that I will not die. The concepts “I will die/ I will not die” to me, as a psyche are not applicable. That is, I, as a psyche, is immortal, but I am not eternal (not eternal – endlessly lasting, such that there is something to last) – to last, to be eternal and to end there is nothing. This is “immortality”. • In the target result of this work, I – am, but such that there is nothing to die/not die (“immortality”). And such a “I” is not the Atman of the Hindu schools of Nyaya, Vaisheshika and Purva Mimamsa, which E.A. Torchinov. Since the “I” – psychic, and not a substance with the psyche as an attributes. • According to illusionism, what I am as a result of the experiment given in the work is an illusion. And the impression of immortality is a product of the brain. But in reality I am such that I will die (it is not excluded). However, it is necessary to realize that illusionism is a detached reasoning about the “I”, but not is the self itself. And to what I am (as psiche), reasoning and questions about the reality of the “I” (for example, question: am I really like this, what am I like as psyche?) and other expressing illusionism do not correspond. That is, subjectively (psychic, in the psychic reality of the “first person”, in first person perspective), the illusionism of the “I” is unreality. Subjectively (psychic, in the psychic reality of the “first person”, in first person perspective), this is undeniable and final. • Reasoning about what such a “I” is in this (mine) or not in this brain, as well as (for example, holding a real skull in my hands), questions like “how (or, but now where is it here) such “I” – how is it after brain death?” – To the fact that is such an “I” these questions do not correspond and is falsified by this. • After being unconscious, the impression remains that I'm is not and that there is nothing at all. That is, my “unconsciousness” is psychic indistinguishable from my non-existence. However, science has not shown, but and it is not excluded that before and after I exist physically (there is something to die), I still or I no longer exist, there is still or nothing to die as a soul, substance, or otherwise. But what I am in the target result of this work is what I – am, and not “died and already now or still unreality” and I am such that there is nothing to die, this is – reality. That is, I will die? – there is nothing (to die), but I – am (reality), even if I am not (don’t exist). Or I do not exist as something. • I am such that there is nothing to be and die, but I am. And subjectively (psychic, in the psychic reality of the “first person”, in first person perspective), this immortality is – reality. But this reality eludes my rational explanation. -/- Conclusion -/- Will I die? – In the target result the I am, but at the same time I am such that there is nothing to die. That is, I am immortal, but at the same time, I am not eternal (“I” not something eternal (endlessly continuing)) – I am such that to be eternal there is nothing. And, if we accept the subjective (psychic, “first person”, in first person perspective) reality without trying to understand it rationally, then I am exactly like that – I realize that this is my undoubted nature. That is, “I will die / I will not die” is an unreality. Subjectively (psychic, in the psychic reality of the “first person”, in first person perspective), it is undoubted and final. Despite the unscientific nature, this work is a way of mastering reality. The author would be grateful for the identified and shown unreality of the fact that the “I” – am, but such that there is nothing to die, and ideally, the awareness: “I will die (not excluded).” -/- Bibliography -/- Декарт Р., Размышления о первой философии //Декарт Р. Соч.: В 2 т. Т. 2. М., 1994. Лекторский В.А. Субъект в истории философии: проблемы и достижения // Методология и история психологии. 2010. Том 5. Выпуск 1. С. 5-18. Титлин Л.И. Проблема субъекта в индийской философии («Пудгалавинишчая» Васубандху) [Текст] / [Л. И. Титлин]; Федеральное государственное бюджетное учреждение науки Институт философии Российской академии наук. – Москва: ОнтоПринт: Сделано-Сказано, 2018. – 361, [1] с. Тхостов A. Ш. Культурно-историческая патопсихология: монография, – М.: Канон+ РООИ «Реабилитация», 2020. – 320 с. Торчинов Е.А. «Словарик индуизма» (Дата написания: 2003; дата файла: 15.06.2007). Торчинов Е.А. Пути философии Востока и Запада: познание запредельного — СПб.: «Азбука-классика», «Петербургское Востоковедение», 2005. — 480 с. ISBN 5-352-01371-5 (Азбука-классика) ISBN 5-85803-258-3 (Петербургское Востоковедение). -/- Скончаюсь? – я бессмертен (как осознать бессмертие «от первого лица») -/- Скончаюсь? В качестве гипотезы в моем естественно-научном понимании психическое (каково психически), это не более чем, и исключительно только всего лишь некоторые состояния моего живого мозга – скончаюсь в результате его смерти. -/- В представленном ответе психическое – сама собственная непосредственная реальность, то есть, то, каково психически, это – несомненно. -/- Данная работа выполнена в реальности «первого лица» («субъективная реальность», «феноменальное сознание»). Чтобы осознать то, как, каково это, представим себя экспериментатором, который не подменяет реальность рассуждениями о ней. – Теперь для нас, как экспериментаторов, то, как (каково) психически, это непосредственная и несомненная реальность. И осознание «я есть», это непосредственная реальность, а не знание об этом, которое всегда сомнительно. То есть, в психической реальности, на вопрос, заданный самой этой психической реальностью самой себе о себе самой, нам ничто не запрещает ответить несомненно и окончательно. Автор действует с позиции «быть в реальности – не выходить за ее пределы, например, в философию» (философия, включая методологию, это подмена самой реальности всегда сомнительными рассуждениями о реальности) – исследует феноменальное сознание («психическое») непосредственно и в качестве непосредственной реальности. То есть, данная работа, это овладение психической реальностью посредством субъективно-психического экспериментирования – не философствуй, а экспериментируй! -/- Например Декарт, интроспективно экспериментируя в собственной психической реальности с собственным психическим, сообщил нам о неизменности «ума» и предложил эту неизменность понять в качестве нашего собственного бессмертия: «ум не представляет какого-то соединения акциденций, являет собой чистую субстанцию и, хотя все его акциденции подвержены изменению — он то понимает какие-то вещи, то желает другие или чувствует третьи и т.д.,— тем не менее сам по себе он не изменяется; а что касается тела человека, то оно изменяется хотя бы уже потому, что подвержены изменению формы некоторых его частей. Из этого следует, что тело весьма легко погибает, ум же по самой природе своей бессмертен» /Декарт Р., стр. 13. Заметим, Декарт не осознавал себя бессмертным, а логически вывел собственное бессмертие из неизменности ума. Однако, неизменный «ум» Декарта таков, что скончаться есть чему. А в моем естественно-научном понимании из неизменности ума не следует его бессмертие – он, не изменяясь в своем субъективном само-восприятии, при этом мгновенно угаснув в результате смерти мозга, скончается. Психически (психическое) – обозначение того, что это сама собственная непосредственная реальность (то есть – несомненно) – то, как (каково) я сам непосредственно, несомненно, и та моя непосредственная реальность, как и посредством чего я сам и всё вообще для меня есть, и которое для меня исключительно единственное. Следует заметить, что пока бываю без сознания (травма мозга или сон без сновидений), ничего и никак нет вообще. -/- Но это не значит, что «я» ушедши в небытие окончательно – скончаюсь. Этим не исключено, что таковой ушедший в небытие «я» не существую, но (при этом) есть. Итак, определим бессмертие, как невозможность скончаться потому, что скончаться нечему (например, если «умерший» психически есть, но уже таков, что скончаться больше нечему, то теперь он бессмертен) и сделаем важный для данной работы вывод: если психически я исключительно только таков, что скончаться есть чему и ни каков иначе, то, следовательно, то, что скончаюсь, это не исключено. Но таков ли я? Идея данной работы в том, что мне удастся проявить (выявить) и осознать себя таковым (я таков), что скончаться нечему, но (при этом) я есть. Иначе выражаясь, если я подойду предвзято и действуя целеустремленно, выявлю субъективную реальность «я есть, но таков, что скончаться нечему» – то смерть мне, как психическому несвойственна, то есть, я бессмертен – гипотеза возможности субъективно скончаться («я скончаюсь») будет фальсифицирована и исключена. -/- Чтобы это реализовать в работе предлагается воспользоваться субъект-объектной моделью, сдвинуть границу «я» в полюс субъекта и стать безобъектным, проявившись (выявившись) собой таковым, что скончаться нечему. Следовательно, цель работы – осознать: я таков, что есть, но скончаться нечему. Стать безобъектным и задаваясь вопросом о возможности скончаться, или исключу бессмертие проявленного состояния, или проявлюсь (выявлюсь) бессмертным несомненно и окончательно. -/- При этом, я, как субъект, являюсь «необходимым полюсом субъектно-объектных отношений. … Объект – то, на что направлена активность … субъекта. … В действительности объектом может стать все, что существует. … важно иметь в виду тот принципиальный факт, что объект всегда внеположен субъекту, не сливается с ним. Эта внеположность имеет место и тогда, когда субъект имеет дело с состояниями собственного сознания, своим Я … важно подчеркнуть, что отношение субъекта и объекта – это не отношение двух разных миров, а лишь двух полюсов в составе некоторого единства» /Лекторский В.А., стр. 6-7. То есть, всё, что нахожу в себе существующим, это (таковое) есть в качестве объекта. «Субъект – всегда относится ко всем «объектам», но он никогда не может стать объектом для самого себя» /Титлин Л.И., стр. 23. Иначе это выражая – «ты не сможешь увидеть видящего видение…» /Титлин Л.И., стр. 40, и в данной модели таковое предполагает «предел» субъекта. Как предел субъекта я «безобъектен». То есть, «идеален» – своим (собственным) пределом (в качестве собственного предела) самим для себя не существую (несуществующий). -/- Используя «факт подвижности границ субъекта» /например, Тхостов А.Ш., стр. 16, я имею возможность границу «я» в себя-назад «втянуть» и стать собственным пределом. При этом необходимо осознать и принять, что внутри предела субъекта и сзади – «за пределом субъекта», и вообще само «внутри» и «сзади» в этой модели – нереальность. Таким субъектным пределом предполагается требуемое парадоксальное субъективное состояние – я есть и вижу, но при этом я таков, что для себя не существую, то есть, я есть, но (психически таков, что) умереть нечему («бессмертие»). -/- Соответственно, в эксперименте обозначаются следующие задачи: 1. В объект-субъектной сфере зрительного восприятия сдвинуть (и сдвинув) границу «я» в себя-назад –» упереться в собственный предел и стать самим собственным пределом (без толщены: без глубины, без «внутри» и без обратной стороны) –» 2. Став собственным пределом, которым есть, но для себя не существую (несуществующий), осознать: • Себя – я есть и это реально; • Скончаюсь? – есть ли чему скончаться или скончаться нечему, какой из вариантов мне (как психическому «я») свойственен: • или я таков, что то, что скончаюсь не исключено, и реализованное состояние не бессмертно; • или я есть, но таков, что скончаться нечему, то есть, собственное бессмертие – я бессмертен; • Реальность ли это. -/- Инструкция воспроизведения целевого результата: последовательность действий и результатов в субъективно-психическом эксперименте (далее СПЭ) -/- На расстоянии 25-40 см от стены (так, чтобы стена занимала всё поле зрения или его подавляющую часть), • Здесь и сейчас сосредоточьтесь на своём лице: «я есть» – реальность (а не знание об этом). • В себе отстранитесь назад и смотрите из себя на эту стену. • Не двигая головой, охватите поле зрения вниманием предельно широко и одновременно всё сразу (всё это) воспримите единым целым. • Высокую и широкую стену (вариант: смотрите вверх под углом 135-150 градусов перед собой) воспримите так, что обозреваемое вами без поворота головы пространство (объем), это – ограниченная по окружности в периферии поля зрения замкнутая несимметричная «линза» • плоская с противоположной вам стороны • и выпуклая в вас; Вы – вогнутый в себя-назад смотрящий («субъект») – каков? – кто из вас сейчас на всё это смотрит? • Не двигая головой, поле зрения воспримите единым целым –» • В себя-назад «втянитесь» –» и «пятьтесь» –» «за мысли» и за всё вообще –» из этого всего назад вытесняясь –» от всего вообще взад отстранитесь –» • собой в себя-назад подайтесь и упершись в собственный (себя) задний к объектному обращённый (развернутый) тупиковый предел –» • станьте самим пределом-тупиком – в себя-назад вогнутой (рефлектор-подобной) пределом-плоскостью смотрящей – воспринимающим зрительным экраном –» станьте плоскостью-тупиком –» • «проскользните» по себе – плоскости-тупику и охватите вниманием целиком –» • собой – самим плоскостью-тупиком назад надавить, нажать –» • осознать: что-то как-то внутри плоскости-тупика и сзади за плоскостью-тупиком, и там вообще «что-то как-то», а также само «внутри» и «сзади», «за плоскостью-тупиком» и вообще «там» – нереальность; • самого себя – плоскости-тупика без толщины (глубины), без «внутри», без обратной стороны для себя нет. • –» То есть – в качестве психической реальности (каково психически) я скончаюсь? –» или • скончаться есть чему – скончаюсь (не исключено). или • я таков, что скончаться нечему, но я есть. или • субъективно-психический эксперимент не завершён. • –» Осознайте, что это – реальность (осознать реальность этого) и подчеркните (ответ). -/- В результате я есть, но скончаться/не скончаться нечему, то есть гипотеза «скончаюсь» – нереальность. -/- Замечания -/- • Каждый завершённый СПЭ завершён целевым результатом: «я таков, что скончаться нечему, но я есть». И тому, каков я в результате СПЭ, то, что скончаться есть чему – скончаюсь (не исключено) не соответствует, то есть нереальность и этим исключено. • То есть, я и не таков, что не скончаюсь. «Я скончаюсь/не скончаюсь» ко мне, как к психике, неприменимо. Иначе это выражая, тому, каков я, смерть несвойственна. То есть, я, как психика (психическое), бессмертен, но я не вечен (не вечный – бесконечно длящийся, таковой, что есть чему длиться) – длиться, быть вечным и не скончаться нечему. Таково «бессмертие». • В целевом результате данной работы я есть, но таков, что скончаться/не скончаться нечему («бессмертие»). И таковой «я» не Атман индуистских школ ньяя, вайшешика и пурва-миманса, о котором сообщает Е.А. Торчинов. Так как «я» психичен, а не субстанция с психическим в качестве атрибута. • Согласно иллюзионизму, то, каков я в результате данного в работе эксперимента, это иллюзия. И впечатление бессмертия, это порождение мозга. А реально я таков, что скончаюсь (не исключено). Однако, необходимо осознать, что иллюзионизм, это отстраненные рассуждения о «я», но не сам я непосредственно. И тому, каков я психически (каково психически), рассуждения и вопросы о реальности «я» (например, таков ли я реально, каков психически?) и другие выражающие иллюзионизм «я» не соответствуют. То есть, каково психически, иллюзионизм «я» – нереальность. Психически, это несомненно и окончательно. • Рассуждения о том, что таковой «я» в этом (моем) или не в этом мозге, а также (например, держа в руках реальный череп), вопросы, типа «а как же (или, но теперь где же здесь) таковой «я» – как это после смерти мозга?» тому, каков таковой «я» эти вопросы не соответствуют. • После пребывания без сознания остается впечатление, что без сознания меня нет и ничего никак нет вообще. То есть, моё «бессознание» психически неотличимо от моего несуществования (небытия). Однако, наукой не показано и не исключено то, что до и после того, как я есть физически (скончаться есть чему), меня ещё или уже нет, скончаться ещё или уже нечему в качестве души, субстанции или как-то иначе. Но, то, каков я в целевом результате данной работы, таковой я есть, а не «скончался и уже теперь или ещё нереальность» и я таков, что скончаться нечему – реален (реалия). То есть, скончаюсь? – нечему (скончаться), но я есть, даже если меня нет (не существую). • Я таков, что быть и скончаться нечему, но я есть. И то, как (каково) психически, это бессмертие – реальность. Но эта реальность ускользает от моего рационального её объяснения. -/- Заключение -/- Скончаюсь? – в целевом результате я есть и вижу, но при этом я таков, что умереть (скончаться) нечему. То есть, я бессмертен, но при этом я не вечен (не нечто вечное (бесконечно длящееся)) – быть вечным нечему. И, если принять психическое реальностью не пытаясь понять это рационально, то я именно таков – осознаю, что такова моя несомненная для меня природа. То есть, «скончаюсь/не скончаюсь» – нереальность. Психически, это несомненно и окончательно. Несмотря на ненаучность, данная работа – способ овладения реальностью. Автор был бы признателен за выявленную и показанную нереальность целевого результата данной работы, а в идеале, за осознание: «скончаюсь (не исключено)». -/- Annex 2. The key essence of this work (only in Russian to convey the nuances without distortion) -/- Performed, expressed and transmitted initially by means of Russian, the native language of the author, and, in order to avoid distortions in the correspondence of the linguistic nuances of the reproduced subjective reality, it assumes an independent translation into the language of the experimenter by the experimenter himself in the process of reproducing the target result of this work. -/- «Я» скончаюсь? – нечему (скончаться), но «Я» есть. Will “I” die (decease)? – to die (decease) nothing, but “I” am. -/- Заметить: • Выполнено, выражено и передано изначально посредством русского – родного для автора языка и, чтобы избежать искажений соответствия языковых нюансов воспроизводимой психической реальности, предполагается самостоятельный перевод на язык экспериментатора самим экспериментатором в процессе воспроизведения целевого результата данной работы. • В «кавычки» взяты слова и выражения, требующие «субъективного» приведения в соответствие психическому содержанию. Подготовка: • Вам потребуется уединённое место (там, где вас не отвлекут). • На первоначальном этапе понадобится некоторое (возможно длительное) время для того, чтобы усвоить предложенный алгоритм действий в психической реальности в процессе реализации и воспроизвести целевой результат впервые. • Возможно, результату поспособствует отклонение от предложенного алгоритма «психических действий», импровизация в направлении целевого результата. • В процессе эксперимента количество попыток не ограничено и затраченное на это время не имеет значения. Необходим исключительно только именно целевой результат. Реализация: • В уединении встать перед плоской широкой и высокой (достаточно большой, чтобы её границы были на периферии вашего поля зрения) стеной, например, покрытой однородной светлой (но не белой) керамической, не глянцевой (не отражающей на вас свет или отвлекающих внимание изображений, не дающей бликов) плиткой с лёгким текстурным рисунком (позволяющим глазам «зацепиться» за стену и отчётливо воспринимать перед собой поверхность, а не «утонуть» в однородном (монотонном) пространстве), на расстоянии 25-40 см от неё (так, чтобы стена занимала всё поле зрения или его подавляющую часть) –» • Скончаюсь (1)? – каково психически (психическое), в моем естественно-научном понимании – это (я) не более чем и исключительно только некоторые состояния функционирующего (живого) мозга – скончаюсь, как и уже скончался каждый умерший мозг – того каждого, кто скончался, как реальности (реального, реалии) (2) уже теперь нет окончательно. Теоретически, если психически я исключительно только таков, что скончаться есть чему и ни каков иначе, то, следовательно, что (я) скончаюсь, это не исключено. • Глядя на стену, здесь и сейчас сосредоточиться на своём лице (и осознать): «я есть» – реальность (а не знание об этом) –» • В себе «отстраниться» назад – смотрю из себя на эту стену –» • Не двигая головой, охватить поле зрения вниманием предельно широко (поднять (вздернуть) брови, если это расширит поле зрения) и одновременно всё сразу (всё это) воспринять единым целым –» • Высокую и широкую стену (вариант: смотреть вверх под углом 135-150 градусов перед собой) воспринять так, что обозреваемое без поворота головы пространство (объем), это – ограниченная по окружности в периферии поля зрения замкнутая несимметричная «линза» • плоская (ограниченная стеной) с противоположной мне стороны • и «выпуклая в меня» –» • Я – «вогнутый» в «себя-назад» смотрящий, каков? – кто из меня сейчас на всё это смотрит? –» • Не двигая головой, поле зрения воспринять единым целым –» • в себя-назад «втянуться» –» и «пятиться» –» «за мысли» и за всё вообще –» из этого всего назад «вытесняясь» –» от всего вообще «взад отстраниться» –» • «собой» в себя-назад «податься» и «упершись» в «собственный (себя) задний к объектному обращённый (развернутый)» «предел тупиковый» («тупо-уперто») –» • «стать» самим «пределом-тупиком» – «в себя-назад вогнутой (рефлектор-подобной)» «пределом-плоскостью» смотрящей – воспринимающим «зрительным экраном» –» стать «плоскостью-тупиком» –» • «проскользнуть» по себе – плоскости-тупику и охватить вниманием целиком –» • собой — самим плоскостью-тупиком «назад надавить, нажать»: • осознать: «что-то как-то внутри плоскости-тупика» и «сзади – за плоскостью-тупиком», и «там вообще» «что-то как-то», а также само «внутри» и «сзади», «за плоскостью-тупиком» и вообще «там» – нереальность; • самого себя – плоскости-тупика без толщины (глубины), без «внутри», без обратной стороны для себя нет –» Собой – плоскостью-тупиком: • без глубины (толщины), без «внутри», без обратной стороны таков, что скончаться есть чему – скончаюсь (не исключено) –» • смотрю –» смотря –» «Непосредственно-психически» -/- Заметить: • Специфику используемых в данной работе слов (терминов), названий и выражений необходимо осознать в соответствии с (4.1.) (данный пункт смотрите ниже). • Необходимо от себя – (как) «смотрящего плоскости-тупика», такового, что скончаться есть чему, оттождествиться собой — «самим психическим» (каково психически) (3) –» • –» «отличить (4)» «Я» –» «Я-лик». • Отличив, и себя такового обозначая, но не имея в языке отличающего местоимения, именую «Я» (5). • «Соединённое-через-дефис-в-кавычках» реализовать и/или воспринять «одним-единым-целостным»; • Последовательность слов и знаков предполагает последовательность психических действий (алгоритм действий в собственном психическом); • Вопросительность слова, фразы или отдельной её, именно вопросительной части задаётся знаком «?» расположенным перед и после них. Требование к действию задаётся знаком «!» расположенным перед и после слова (фразы); • Субъективно-психический эксперимент завершён, если воспроизведен (4.1.), иначе субъективно-психический эксперимент не завершён. -/- Собой – плоскостью-тупиком … смотрю –» смотря –» -/- «Психически» (6) 1. ?кто? видит –» !отличить «Я»! –» 2. –» !«Я-видящий-лик»! –» 3. –» !«Я-лик»! –» 4. –» !«Я-ликом» всем «психически-назад-надавить(нажать)»: «Я» ?скончаюсь?! –» !«Я-ликом» всем «психически-назад-давить(жать)»: (4.1.) – нечему (7), но «Я» есть.! -/- Признательность: Согласно иллюзионизму, то, каков «Я» (как (каково) «скончаться нечему, но «Я» есть.»), реально, это не так (не таково). То есть, таковой «Я» нереален (нереальность), а реально – таков, что скончаюсь (не исключено). Однако, необходимо осознать, что это «отстраненные» от «Я» рассуждения о «Я», но не сам «Я» непосредственно. И тому, каков «Я» (как (каково) скончаться нечему, но «Я» есть.) таковое (рассуждения) не соответствует. То есть, эти рассуждения о «Я» – заблуждение. Это (как осознание) несомненно и окончательно. Не так? – за выявленную и показанную нереальность (того, что) «Скончаюсь? – нечему (скончаться), но «Я» есть.», за показанную реальность того, что скончаться не исключено, а в идеале, за осознание: «скончаюсь (не исключено)» я был бы признателен. -/- (Сноски) (1) Именно «скончаюсь, скончался», то есть – как реальности (реального, реалии) нет окончательно. (2) Реалия, реально, реален, реальность, реальное – само то, что (каково это) непосредственно, как само таковое – само то, каково познаваемое и как-либо моделируемое вне его познания и иного (вообще) моделирования. То есть, само само-осознание себя реальностью, например, «я-реалия», «я есть» или «скончаться – нечему, но «Я» есть.» – реальность. То есть – нам ничто не запрещает ответить на вопрос «скончаюсь?» несомненно и окончательно. (3) Психически (психическое) – то, как (каково) я сам непосредственно, несомненно, и та моя непосредственная реальность, как и посредством чего я сам и всё вообще для меня есть, и которое для меня исключительно единственное. Следует заметить, что пока бываю без сознания (травма мозга или сон без сновидений), ничего и никак нет вообще. Также само обозначение того, что это сама собственная непосредственная реальность (то есть – несомненно). И чтобы её осознать, представьте себя экспериментатором, который не подменяет реальность рассуждениями о ней. – Теперь для вас, как экспериментатора, то, как (каково) психически, это – несомненно (непосредственная несомненная реальность). Не философствуй (не рассуждай, не моделируй её), а экспериментируй! (4) «Я-Лик» – специфическое выражение, соответствующее психическому в данный момент СПЭ. (5) «Я» – целевой (конечный, «предельный») и «ключевой» результат данной работы. «Я» в данной работе не склоняется, выделено полужирным подчеркнутым шрифтом и заключено в кавычки. (6) «Каково психически» – то, как (каково) «Я» сам непосредственно, несомненно – само «первое лицо» (субъект психического), а также обозначение принятия позиции «первого лица» и сообщения «от первого лица». (7) Пока я бываю без сознания («бессознание», например, сплю без сновидений), моего сознания нет (оно сведено на нет, угасло) – ничего и никак нет вообще (это моё абсолютное небытие) – (каково) психически, мне скончаться нечем. А в целевом результате данной работы, психически (то есть – непосредственно), «Я» таков, что скончаться не нечем, а именно нечему, но при этом «Я» есть. (shrink)

Leibniz, it seems, wishes to reduce statements involving relations or extrinsic denominations to ones solely in terms of individual accidents or, respectively, intrinsic denominations. His reasons for this appear to be that relations are merely mental things (since they cannot be individual accidents) and that extrinsic denominations do not represent substances as they are on their own. Three interpretations of Leibniz''s reductionism may be distinguished: First, he allowed only monadic predicates in reducing statements (hard reductionism); second, he allowed also `implicitly (...) relational predicates'' such as `loves somebody'' (soft reductionism); third, he allowed also `explicitly relational predicates'' such as `loves Helen'' (nonreductionism). Hard reductionism is problematic with respect to Leibniz''s doctrines of universal expression and incompossibility (among other things). Nonreductionism, in turn, faces insurmountable problems with Leibniz''s doctrine of self-sufficiency and internal identification of substances, as well as with that of individual accidents. The remaining option, soft reductionism, standing between the other two interpretations, arguably avoids at least some of their problems. (shrink)

This article is a defense and explication of Aristotelian substance-accident terminology used in the Catholic dogma of transubstantiation following upon Fr. Thomas Reese's denigration of orthodox terminology and theology. It was reworked from a paper entitled “They Must Fall into Being: The Son’s Power as Quasi-Subject of the Accidents of Bread and Wine in the Sacrament of the Eucharist” which I delivered on Feb. 4, 2023, at The Holiness of God and the Mystery of the Eucharist conference at (...) Ave Maria University co-sponsored by the Aquinas Center for Theological Renewal (Ave Maria, FL) and the St. Paul Center for Biblical Theology (Steubenville, OH). (shrink)

The concept of Substantial motion (حركت جوهرى) is fundamentally flawed and severely muddled. Aristotle and Mulla Sadra’s conception of motion, substance (جوهر) and substantial form صورت نوعيه)) were all based on a severe misunderstanding of nature as later was established by the scientists and philosophers that came after them. Here, by recalling the established facts of modern science, particularly the universally accepted scientific fact that, properties of objects are reducible to the motion of their electrons and there’s no such (...) thing as ‘substantial form’ much less substance, the author puts an end to a 400-year-old glorious error called ‘substantial motion’. Naturally any attempt to reconcile the paradigms of modern physics with Aristotle/Sadra paradigms of form/matter and substance/accidents, and to try to draw parallel between the two and revive their philosophy would be an exercise in futility. (shrink)

Throughout his works, St. Augustine offers at least nine distinct views on the nature of time, at least three of which have remained almost unnoticed in the secondary literature. I first examine each these nine descriptions of time and attempt to diffuse common misinterpretations, especially of the views which seek to identify Augustinian time as consisting of an un-extended point or a distentio animi . Second, I argue that Augustine's primary understanding of time, like that of later medieval scholastics, is (...) that of an accident connected to the changes of created substances. Finally, I show how this interpretation has the benefit of rendering intelligible Augustine's contention that, at the resurrection, motion will still be able to occur, but not time. (shrink)

This dissertation discusses the work of Thomas Hobbes, and has two main themes. The first is Hobbes's materialism, and the second is Hobbes's relationships to other philosophers, in particular his place in the mechanist movement that is said to have replaced Aristotelianism as the dominant philosophy in the seventeenth century. -/- I argue that Hobbes does not, for most of his career, believe the general materialist view that bodies are the only substances. He believes, rather, that ideas, which are our (...) main mechanism for thinking about the world, allow us to understand many bodies, but not to understand every thing we recognize to exist. The incomprehensible things include God---and, early in Hobbes's career, the human mind. Discussing materialism and our knowledge of God leads me to engage with the debate over Hobbes's alleged atheism. I argue that the evidence for Hobbes's atheism is weak at best. Hobbes is a sincere theist, though his view is sometimes unusual. -/- My discussion of Hobbes's relationships to other philosophers has three parts. In chapter five I argue that Hobbes's views about method are in important ways similar to Zabarella's. In chapter six I look at Hobbes's rejection of the view, held by some scholastic Aristotelians, that accidents can sometimes exist without inhering in substances. Thus we see two sides of Hobbes's interaction with the Aristotelian tradition. Sometimes that interaction is just rejection, but at other times Hobbes takes over views from that tradition. Then in chapter seven I consider whether, and in what sense, Hobbes is a mechanist. I argue that the narrative of mechanism and Aristotelianism is a less powerful explanation than it has seemed to some to be, because it is hard to see what mechanists have in common. (shrink)

This paper investigates the question of, and the degree to which, Newton’s theory of space constitutes a third-way between the traditional substantivalist and relationist ontologies, i.e., that Newton judged that space is neither a type of substance/entity nor purely a relation among such substances. A non-substantivalist reading of Newton has been famously defended by Howard Stein, among others; but, as will be demonstrated, these claims are problematic on various grounds, especially as regards Newton’s alleged rejection of the traditional (...) class='Hi'>substance/accident dichotomy concerning space. Nevertheless, our analysis of the metaphysical foundations of Newton’s spatial theory will strive to uncover its unique and innovative characteristics, most notably, the distinctive role that Newton’s “immaterialist” spatial ontology plays in his dynamics. (shrink)

Definition has the following features in Aristotle’s philosophy: 1. Each thing has only one definition and ‘it is impossible that there should be more than one definition for the same thing.’ (To., Z, 5, 142b^25; cf. To., Z, 4, 141a26) 2. Definition is ‘a formula of the essence’ (Met., H, 1042a17-18) and, thus, signifies the essence of the thing. (To., I, 5, ^101b30-) About the relation between definition and essence Aristotle regards three possibilities (PsA., B, 94a11-14): a) A definition as (...) an indemonstrable statement of essential nature. b) A definition as a syllogism of essential nature differing from demonstration in grammatical form. c) A definition as the conclusion of a demonstration giving essential nature. 3. ‘The definition is a formula and a formula has parts.’ (Met., H, 1042a18-20) Therefore, only the composite substances are definable and the primary parts of a composite substance are not definable. The reason is that ‘a definitory formula predicates something of something and one part of the definition must play the part of matter and the other that of form.’ (Met., H, 1043b28-32) Thus, definition is a sort of number: a divisible including indivisible parts. (Met., H, 1043b32-36) 4. To define a thing, one should give the species or the genera of the thing which are the only other things that can be substances of it and not its accidents. (Cat., 5, 2b31-36) Aristotle also brings differentiae into the definition: ‘There is nothing in the definition except the first-named genus and the differentiae. The other genera are the first genus and along with this the differentiae that are taken with, e.g. the first may be animal, the next animal which is footed, and again animal which is two-footed and featherless and …’ (Met., Z, 1037b28-33) Among genera the nearer genera are more informative because they are more distinctive and less general. (Cat., 5, 2b10-13 and b32-34) However, to give the species is always more informative and apt than giving the genus. (Cat., 5, 2b8-10) 5. Primary substances admit the definition of the species they are their individuals and of their genera. In the same way, species admit the definition of the genus. The reason is that everything said of the predicate can be said of the subject. (Cat., 5, 3b2-6) Therefore, everything admits the definition of its higher classes. 6. ‘Both the species and the individuals admit the definition of the differentia.’ (Cat., 5, 3b6-7) 7. A formula exhibiting the cause of a thing’s existence is a definition. (PsA., B, 10, 93b38-94a1) 8. It is possible to achieve the definition by division only if we keep three conditions in view (PsA., B, 97a23-26): a) The admission only of elements in the definable form. b) The arrangement of these elements in the right order c) The omission of no element in the definable form The process of division (PsA., B, 97a37-b6) is the process of dividing the genus by its differentia to the right species, the one that the subject accepts as its predicate, and again dividing the whole such searched by its right differentia to a predicable species. This process will be continued until we reach to that which is not further divisible, ‘i.e. that as soon as we have taken the last differentia to form the concrete totality, this totality admits of no division into species.’ In this way we achieve to a series of elements all in the definable forms without superfluous addition and without omission of any necessary element. This series includes the primary genus with all the differentia until it achieves to that which would admit of no division. The second condition, the right order, is the order in which that which is posited as primary be the one that is predicable of all of the other and not vice versa. The order must, then, be from more predicables to less predicables: ‘The right order will be achieved if the right term is assumed as primary, and this will be ensured if the term selected is predicable of all the other but not all they of it; since there must be one such term. Having assumed this, we at once proceed in the same way with the lower terms; for our second term will be the first of the remainder, our third the first of those which follow the second in a ‘contiguous’ series, since when the higher term is excluded, the term of the remainder which is ‘contiguous’ to it will be primary, and so on.’ (PsA., B, 97a26-34) 9. Things that are not the same must have different definitions. However, this does not mean that things that are the same must necessarily have the same definition. (To., I, 5, ^102a17-) 10. ‘Everything applicable to property and genus and accident will be applicable to definition as well.’ (To., I, 6, 102b27-) 11. ‘A name, e.g. ‘round’, means vaguely a sort of whole: its definition analyses this into its particular senses.’ Definition must be done through terms that are prior and more familiar and ‘anyone who has not defined a thing through terms that are prior and more familiar has not defined it at all.’ (To., Z, 4, 141a26-) It is indeed this very point that is the basis of definition by genus and differentiae: ‘A correct definition must define a thing through its genus and its differentiae, and these belong to the order of things which are without qualification more familiar than, and prior to, the species.’ (To., Z, 4, 141b^15-) This more familiarity, however, must be without qualification, i.e. not more familiar to certain people or in certain times. Otherwise, definition could not come always to be one and the same. (To., Z, 4, ^142a1-) . 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Some forms of defining PNC in Aristotle’s works are as follows: a) Everything must be either affirmed or denied (φάναι ἢ ἀποφάναι). (Met., B, 996b28-29) or: it will not be possible to assert and deny the same thing truly at the same time. (Met., Γ, 1008a36-b1) In other words, ‘contradictory statements (ἀντικειμένας φάσεις) are not at the same time true. (Met., Γ, 1011b13-14) Also, ‘It is impossible that contradictories (ἀντίφασιν) should be at the same time true of the same thing.’ (...) (Met., Γ, 1011b15-16) Also, ‘Opposite statements (ἀντικειμένας φάσεις) can never be true of the same subjects.’ (Met., K, 1062a33-34; 1063b15-17) Also, ‘Of all affirmation or negation one is impossible. (PsA., A, 11, 77a22) b) A thing cannot at the same time be and not be. (Met., B, 996b30-31; Γ, 1006a3-5) This can also be extended to many other similar pairs of opposites: ‘The same thing cannot at the same time be and not be, or admit any other similar pair of opposites.’ (Met., K, 1061b34-1062a2) Also, ‘It will be possible for the same thing to be and not to be, except in virtue of an ambiguity.’ (Met., Γ, 1006b18-19) This is also asserted in another similar way: it is impossible that it should be at the same time true to say the same thing is a thing and is not a thing.’ (Met., Γ, 1006b33-34) c) ‘The same attribute cannot at the same time belong (ὑπάρχειν) and not belong to the same object in the same respect.’ (Met., Γ, 1005b19-21) d) Those positive and negative propositions are said to be contradictory which have the same subject and predicate. (OI, I, 7, 17a33-35) The opposition between an affirmation and a denial makes contradictories (ἀντίφασεως). (PsA., A, 2, 72a11-14) Based on Aristotle’s definition, ‘An affirmation is opposed to a denial in the sense which I denote by the term ‘contradictory’ (ἀντίφατικως), when, while the subject remains the same, the affirmation is of universal character and the denial is not.’ (OI., I, 7, 17b16-19) 1) Characteristics of PNC a) It is the most certain (Met., Γ, 1005b22-23 and b11) and the most indisputable (Met., Γ, 1006a5-6) of all principles. b) It is impossible: to believe its contrary (Met., Γ, 1005b24-30); to be really in that position (Met., Γ, 1008b11-13); and to defend it. (OI, I, 9, 18b17-19) Nonetheless, Aristotle thinks that many of the writers about nature assert the contrary of PNC and use a language opposite to it. (Met., Γ, 1005b35-1006a3) c) It is the starting point of all the other axioms. (Met., Γ, 1005b32-34) d) It is not hypothetical. (Met., Γ, 1005b13-17) e) Contradictories are extremely opposed to each other. (Met., Γ, 1007a1-4) f) Believing in PNC saves substance and essence and not believing in it makes all attributes accidents and there will be nothing as being essentially something. The reason is that something which essentially is a being cannot avoid being that thing. (Met., Γ, 1007a20-29 and b16-18) g) PNC supports plurality of things because otherwise all things will be one: ‘If all contradictories are true of the same subject at the same time, evidently all things will be one. For the same thing will be a trireme, a wall, and a man, if it is equally possible to affirm and deny anything of anything.’ (Met., Γ, 1007b18-22) In fact, PNC supports difference: ‘For if contradictories can be predicated alike of each subject, one thing will in no wise differ from another; for if it differs, this difference will be something true and peculiar to it.’ (Met., Γ, 1008a25-27) h) To accept truth and falsity, whether in an absolute sense (e.g. A is more true than B; or C is less true than D) entails PNC. (Met., Γ, 1008b2-7 and b31-35; 1009a2-5) In fact, PNC is entailed by accepting true affirmation. (Met., K, 1062b7-11) i) Judging and choosing between at least two things entails PNC: you cannot choose one as better than another without a previous judging that one is A and the other not A. (Met., Γ, 1008b18-24) The same is true about avoiding. (Met., Γ, 1008b24-29) j) PNC guarantees speaking and saying anything intelligible because otherwise e.g. saying ‘yes’ means both yes and no. (Met., Γ, 1008b7-13) k) Contradictories do not accept intermediates that means we must either affirm or deny a predicate on a subject and there is no third option. (Met., Γ, 1011b23-24; Met., I, 1055b1-2; PsA., A, 2, 72a11-14; Met., I, 1057a33-36) l) PNC is applicable also to the future time. (OI., I, 9, 19a28-29) m) PNC is presupposed by the least semantic of words. If we accept that each word has a meaning and, thus, signifies something definite, we cannot accept that it has the contradictory meaning and signies contradictory things and this approves PNC. Thus, Aristotle asks the opponent of PNC to say just one word, a significant word and takes this as the demonstration of PNC because by saying the word e.g. ‘man’ you have already signified man and not-man. (Met., Γ, 1005a11-13 and a18-22; 1006a28-31 and b13-15) Therefore, signification entails PNC: ‘He, then, who says this is and is not denies what he affirms, so that what the word signifies, he says it does not signify; and this is impossible. Therefore, if ‘This is’ signifies something, one cannot truly assert the contradictory.’ (Met., K, 1062a16-20) He says again: ‘If the word signifies something and this can be truly asserted of it, it necessarily is this; and it is not possible that that which is necessary should ever not be: it is not possible therefore to make the opposed assertions truly of the same subject.’ (Met., K, 1062a20-23; cf. Met., K, 1062a24-31) n) At Met., 4, 3, 1005b9-10 (check???) PNC is called as principle of things (ἀρχὰς τοῦ πράγματος). (quoted from B215, 517) . (shrink)

The concept of universal in Aristotle’s philosophy has several aspects. 1) Universal and plurality Aristotle posits universal (καθόλου) versus particular (καθ᾿ ἕκαστον) each covering a range of elements: some elements are universal while others are particulars. Aristotle defines universal as ‘that which by nature is predicated (κατηγορεῖσθαι) of many subjects’ and particular as ‘that which is not’ so. (OI ., I, 7, 17a38-b1) The plurality of possible subjects of universal is what Aristotle insists on. The inclusion of the notion of (...) ‘plurality’ in the definition of universal might make us expect to have ‘singularity’ in the definition of particular. So, when Aristotle says that universal is that which is naturally predicable of many subjects, we expect him to define the particular as ‘that which is predicable of one subject only.’ Nonetheless, Aristotle does not and indeed cannot define it this way. We cannot find a text in which he defines particular as such simply because particulars are not predicable of any subject unless we regard their predication of themselves a predication, which Aristotle does not, at least in a genuine sense. Thus, he defines a particular only negatively. Hence, the capability of predication of a plurality is indeed the capability of predication itself because the particular cannot be predicated of anything. A particular is that which cannot be predicated of anything (or: of anything else, if saying of a thing of itself is to be considered as predication). It is ‘numerically one’ and what of which the universal is predicated (Met., B, 999b34-1000a1). Those that cannot be predicated of anything, or particulars, are of two kinds: primary substances and individual accidents. Besides Categories we can hardly find a text where Aristotle discusses individual accidents maybe because they are of much less importance for him compared with substances. However, substances are what he mentions repeatedly so that we can confine particulars to substances. In fact, it is substance that Aristotle considers so repeatedly as what cannot be predicated. As the main particulars and individuals, substances are posited as the main things that are not universal. The closeness of the two concepts of ‘substance’ and ‘unpredicability’ is to the extent that he ignores individual accidents and makes these concepts equal and as the opposite of universal: ‘what is not predicated of a subject is said a substance (οὐσία λέγετα τὸ μὴ καθ᾿ ὑποκειμένου) but what is always said of some subject is called a universal.’ (Met., Z, 1038b15-16. cf. Met., B, 1003a7-9) Therefore, since particulars cannot be predicated of any subject and, thus, every predication is necessarily a predication of a plurality of subjects, the inclusion of ‘plurality’ in the definition of universal is either i) in the sense of ‘representation’ or it must be regarded as ii) an unnecessary addition mentioned just for clarification or iii) only for avoiding cases where something is predicated of itself. By the first we mean this: though a substance is not said of anything, it represents some one thing and there is some one thing that is that substance. A universal, on the other hand, can represent a plurality of things. There is, however, a third possibility that has no essential difference with the sense of representation. Aristotle might have ‘arbitrary predication’ in mind when he suses ‘plurality’ in the definition of universal: while a particular can be the arbitrary predicate of just one thing, a universal can be predicated, both really and arbitrarily, of many things. Whatever Aristotle’s intention was, what is important for our investigation is this: Aristotle uses the notion of plurality in the definition of universal in spite of the fact that it is not necessary. What this implies is that this notion is so important for Aristotle that albeit every predictability is a predictability of a possible plurality, he adds the notion of plurality. What makes this notion important, I believe, is that he has something like a class in mind when he defines a universal because the notion of plurality is indistinguishable from a class. 2) Universal and whole; particular and part In Aristotle, the concepts of universal and whole are so close: ‘That which is true of a whole class and is said to hold good as a whole (which implies that it is a kind of whole) is true of a whole in the sense that it contains many things by being predicated of each, and that each and all of them, e.g. man, horse, god, are one because all are living things (τὸ μὲν γὰρ καθόλου καὶ τὸ ὃλως λεγόμενον ὡς πολλὰ περιέχον τῷ κατηγορεῖσθαι καθ’ ἑκάστου καὶ ἓν ἃπαντα εἶναι ὡς ἑκαστον, ...). Phil Corkum points to Aristotle’s distinction between quantitative and integral wholes in Met., 5, 26, 1023b26-33 where a quantitative whole is called homoiomerous, as the sum of animal while an integral whole, e.g. a house, is called heteromerous. He links the notion of homoiomerous to the notion of indivisibility of individuals (in 1b6-9 and 3b10-18) and indivisibility of universals. He believes that in PrA., I, 4, 25b32-26a2 it is the transitivity of mereological containment that is discussed. 3) Universal is common between instances Universal is common (κοινόν) between all the plurality of subjects it can be predicated of because what belongs to more than one thing must be common between them. (Met., Z, 1038b10-12) In the Same way, what is common cannot be a particular and, thus, a substance. (Met., Z, 1040b23-24) An individual or substance is a ‘this’ and a ‘this’ cannot be what common indicates simply because it is here in ‘this’ and can be nowhere else while common must be common between several things. In fact, what can be indicated by a common is indeed a ‘such.’ (Met., B, 1003a7-9) 4) Universal is the same in its instances We have a universal i) in all of its instances and ii) in the same way (ταὐτὸ ἐπὶ πὰντων). (Met, Γ, 1005a9-10) While the first point is evident (otherwise how could it be their universal?), the second point might seem not only ambiguous but the cause of many problems. For Aristotle, therefore, a universal must be ‘one’ in number and not many. This numerically one universal is the very universal for all its instances. It is the same universal that is predicated on each of its instances. This sameness is not, however, a mere homonymous sameness or the sameness of a homonymous word. All these three points, namely oneness, sameness and rejection of mere homonymous sameness are asserted in Aristotle’s own words τι ἕν καὶ τὸ αὐτὸ ἐπὶ πλειόνων μη ὁμώνυμον. (PsA., A, 11, 77a8-9) This non-homonymous unity is asserted also in PsA., A, 24, 85b15-16. 5) Universal as predicate Contrary to substance that cannot be a predicate, universal is what cannot be prevented from being in the place of predicate. Therefore, Aristotle distinguishes universal from subject because while the latter must necessarily be capable of being a predicate, though it might take the position of subject as well, the latter does not necessarily have such a capability especially when it is a this because it cannot be a predicate in such a case: ‘For the subject and universal differ in being or not being a ‘this’; like man and body and soul are the subject of accidents while the accident is something like musical or white.’ (Met., Θ, 1049a27-30) This indicates that a universal is basically different from subject and although it can be posited in the place of subject, it is the position of predicate that is its position as a universal. In Metaphysics, Z, 13, Aristotle asserts that ‘no universal can be substance.’ The same is asserted in Met., I, 1053b16-17 cf. 1060b21. As James H. Lesher points out, Aristotle’s position is that ‘nothing predicated universally is a substance.’ 6) Universal in substance In Met., 10388b8-9 Aristotle says that no universal is a substance. While a universal cannot be a substance in the way essence (to ti en einai) is, it is, Aristotle asserts, ‘in’ it (ἐν τούτῳ δὲ ἐνυπάρχειν) (Met., Ζ, 1038b16-18). Aristotle’s examples are: animal in man and horse. A universal is ‘in’ the thing it is its universal. But in what sense a universal can be in a thing? It cannot be in it as ‘in a subject’, which is denied in Categories for secondary substances. If we check the senses of being in, we can find some other senses of ‘being in’ some of which are compatible with this sense of ‘being in.’ Michael J. Loux believes that contrary to his earlier works like Peri Ideaon and Organon in which the immanence of universals signals a reproduction of the platonic two worlds picture, in his later works like Physics and Metaphysics, when Aristotle tells us that universals are in particulars he means that they are ‘components of or ingredients in sensible particulars.’ In Metaphysics (Δ, 1014b3-9) Aristotle compares elements with universals and call them ‘the most universal things because elements are present either in all or in many things. 7) Logos is of universal Not only universals have logos (Met., Z, 1038b18-19) but ‘Every logos and every science is of universals and not of particulars.’ (Met., K, 1059b25-26) The reason is that they are the same: the logos of the unjiversal ‘circle’ is nothing but ‘being circle’ and the logos of the universal ‘soul’ is ‘being soul.’ (Met., Z, 1035b33-1036a2) The same is said about definition. (Met, Z, 1036a27-29) 8) Universal: in the soul Contrasting individuals, universals are in the soul (So., 3, 5, 417b22-23; cf. PsA., B, 19, 100a6-7). Aristotle also says that the form, i.e. the essence, of the artwork is in the soul. (met., Z, 1032a32-b2) Moreover, as Michael J. Loux points out, ‘the Peri Ideon tells us that we need universals to serve as the objects of noetic acts.’ 9) Universal: not beside individual In spite of the fact that demonstration creates the opinion that demonstrating is based on the existence of universals as existing among the existing things, they do not have existence besides individuals (PsA., A, 24, 85a31-35; Met, Λ, 1071a19-23). Aristotle believes that universals of a P-series (B203, 71) are not παρὰ τὰ εἴδη: 999a6ff. Also check De Anima, II, 3, 414b20-25 10) Primary or commensurate universal Aristotle distinguishes ‘πρῶτον καθόλού’ (PsA., B, 17, 99a33-35) literally meaning ‘primary universal’ but mostly, and truly, translated as commensurate universal. While a universal merely ‘μὴ ἀντιςτρέφει,’ a primary universal ‘ᾧ ἓκαςτον μὲν μὴ ἀντιςτρέφει’ (PsA., B, 17, 99a33-35). Aristotle mentions three conditions for a commensurate universal. It is an attribute that i) belongs to every instance of its subject (without exception!!!), and this belonging is ii) essentially and iii) qua that subject itself (ᾗ αύτό). (PsA., A, 4, 73b26-28) However, he insists that the second and the third conditions are indeed the same. (PsA., A, 4, 73b28-30) The first condition he paraphrases as ‘to belong to any random instance of that subject’ and the second and the third as ‘when the subject is the first thing to which it can be shown to belong.’ (PsA., A, 4, 73b32-74a3) Aristotle’s example is ‘the equality of its angles to two right angles’. This attribute is not a commensurate universal of figure due to the first condition: it cannot be demonstrated of any figure. Nonetheless, though it can be demonstrated of every isosceles because every isosceles has angles equal to two right angles, it is not a commensurate universal of isosceles due to the other conditions: it is not predicated of isosceles qua isosceles but qua triangle. These conditions seem to be like regulators: they organize everything to match to the right group. The method of finding commensurate universal is like test and error method based on elimination: you must eliminate each of the higher or lower universals and check if the attribute remains or not. The commensurate universal is that which remains in between eliminated universals. (cf. PsA., A, 5, 74a37-b4) Brad Inwoodpresents an understanding of commensurate universal that is different from what I have understood and, thus, must be checked: ‘These universals are propositions in which, for example, ‘all A are B’ is true and which are still true universal statements if converted: ‘all B are A’ is also true.’ -/- . (shrink)

Predication is a lingual relation. We have this relation when a term is said (λέγεται) of another term. This simple definition, however, is not Aristotle’s own definition. In fact, he does not define predication but attaches his almost in a new field used word κατηγορεῖσθαι to λέγεται. In a predication, something is said of another thing, or, more simply, we have ‘something of something’ (ἓν καθ᾿ ἑνὸς). (PsA. , A, 22, 83b17-18) Therefore, a relation in which two terms are posited (...) to each other in a way that one is said (predicated) of the other is a predication. The term of which the other term is said is called a subject (ὑποκειμένον) and the other, which is said about the subject, is called the predicate. Thus, in a predication the predicate is predicated of the subject; given that being predicated is almost as the same as being said. The relation between being said and being predicated is so close that ‘if something is said of a subject both its name and its definition are necessarily predicated of the subject.’ (Cat., 5, 2a19-26) This, however, is true only about the second genera and not the accidents. a) Nature of relation in predication What is Aristotle’s theory about the nature of the relation in a predication? How does he fundamentally understand this relation? Phil Corkum distinguishes between predication logic and traditional term logic and argues that the relation between subject and predicate in Aristotle is of the latter kind. While in predicate logic, subjects and predicates have distinct roles, they have the same role in traditional term logic. In predication logic, subjects refer, but predicates characterize. Thereupon, a sentence expresses a truth if the object to which the subject refers is correctly characterized by the predicate. In traditional term logic, both subjects and predicates refer and a sentences expresses a truth if both name one and the same thing. He concludes that Aristotle ‘problematically conflates prediction and identity claims’ because while he thinks both subjects and predicates refer, he would deny that a sentence is true just in case the subject and the predicate name one and the same thing. Based on this, Corkum believes that Aristotle’s core semantic is not identity but the weaker relation of constitution, which is a mereological interpretation: ‘All men are mortal’ is true just in case the mereological sum of humans is part of the mereological sum of mortals. b) Aristotle’s theory of predication: one or two theories? Frank Lewis finds an inconsistent gap between the theory of predication in the Categories and that in the later books of the Metaphysics VII, 6. So too Joan Kung, Terry Irwin, Daniel Graham. c) Distinction of ‘being said of’ and ‘being in’ Owen enumerates the texts in which Aristotle’s distinction between ‘being said of’ and ‘being in’ is asserted: OI. 11b38-12a17; To., 127b1-4; Cat. 1a20-b9; 2a11-14; 2a27-b6; 2b15-17; 3a7-32; 9b22-24 d) Predication in Aristotle and the standard ‘S is P’ Marie De Rijk Lambertus thinks that the ‘S is P’ pattern is misleading when it comes to express predication in Aristotle. In his view, ‘The Aristotelian procedure should be described in terms of appositively assigning an attribute (κατηγορούμενον) to a substrate (ὑποκείμενον), rather than ascribing a predicate to a subject by means of a copula…. The comment should be considered an attribute which is said to fall to a substrate, without understanding this procedure in terms of sentence predication.’ e) Aristotle’s predication: bipartite or tripartite? It is a difficulty to make Aristotle’s theories of name-verb predication and tripartite predication consistent. The reason is that tripartite is not consistant with his name-verb structure based on which he says that the predicate term is the ‘verb.’ (20a31; 20b1-2; 16a13-5) The problem is that in a tripartite form like ‘Socrates is white’ we cannot take ‘is white’ as the verb because, based on Aristotle himself, no part of a verb can be significant itself. (16b6-7) However, his assertions about the equivalences between the two structures (OI. 12, 21b9-10; PrA. 51b13-16; Met., 1017b22-30) must mean that they are not inconsistent in his own view. Thus, as Allen Bāck points, ‘Aristotle seems to think that he has a single, consistent theory.’ The sense of saying or speaking as the root sense of rhema makes the relation between predication (saying something of something) and verb more interesting. The use of rhema in the sense of a long expression approves this. In Plato’s work (399ac) where Socrates claims that the name anthropos derives from anthron ha opopen (‘he who examines what he has seen’) we have an onoma from, or in place of, a rhema. 1) Subject The subject (ὑποκειμένον) is that of which another term is said or predicated. Aristotle’s own definition is of a much more philosophical value: ‘By subject I mean that which is expressed by an affirmative term (λέγω δὲ ὑποκείμενον τὸ κάταφάσει δηλούμενον).’ (Met., K, 1067b18) Throughout Aristotle’s work, three kinds of subjects can be found: possible, prime and absolute subject. a) Possible subject Those things that can take the position of a subject in a predication we call possible subjects, no matter they can or cannot take the position of predicate in any predication. All terms except the ultimate predicates are possible subjects because they can take the position of subject. b) Prime subject Those that in any predication can only take the position of a subject and not the position of a predicate are prime subjects. (Cat., 5, 3a36-b2; Met., Z, 1028b36-1029a1) This is the truest sense of subject and belongs only to substances. (Met., Z, 1029a1-2) In fact, ‘that which is not predicated of a subject, but of which all else is predicated’ is a substance. (Met., Z, 1029a7-9) In Categories, besides primary substances (Cat., 2, 1b3-6), individual qualities are also said not to be able to be said of anything else. (Cat., 2, 1a23-29) Aristotle’s examples are a certain ‘knowledge-of-grammar’ (τὶς γράμματικὴ) and ‘an individual white’ (τὸ τὶ λευκὸν). Thus, although substances are indeed in the truest sense individuals and, thereby, in the truest sense primary subjects, other individuals can take the position of subject as well. c) Absolute subject While substances are prime subjects of all other things, there is still something of which substances can be predicated and this predication is not an accidental predication: matter. (Met., Z, 1029a21-24) This predication is, indeed, the predication of a ‘form or this’ on matter and material substance. (Met., Θ, 1049a34-36) The only thing that is absolutely a subject, therefore, and can be a predicate is prime matter (πρώτη ὓλη). (Met., Θ, 1049a24-27) d) Subject and substance The most important thing in being a substance is being a subject: ‘It is because the primary substances are subjects for all the other things and all the other things are predicated of them or are in them, that they are called substances most of all.’ (Cat., 5, 2b15-17) And what is nearer to this position is more a substance as a species is more a substance than a genus.’ (Cat., 5, 2b7-8) e) Primary versus accidental subject A subject is a primary subject in a predication when the predicate is predicated of it as itself. In such a case, the subject is the subject of the predicate qua itself and not qua something else. A subject, on the one hand, is an accidental subject when it is not the primary subject of the predicate that is predicated on it. It means that a subject is an accidental subject when the predicate is predicated of it not qua itself but qua something else. An accidental subject is, therefore, anything other than a substance. 2) Predicate as universal It is evident from our discussion of kinds of subjects that except matter, primary substances (if we ignore both accidental predication and cases of absolute subjects) and other individuals, everything else can take the position of a predicate. Since primary substances are individuals, it results that everything except matter and individuals are capable to take the position of predicate. The immediate consequence of this is that the predicate must be a universal. When individuals cannot take the position of predicate, this position cannot be taken by any particular. Therefore, only universals can be predicated of others. Moreover, albeit universals can be a simple subject (for another universal), they are not prime subjects. The closeness of universal and predicate is to the extent that Aristotle differentiates universal from subject. (Met., Θ, 1049a27-30) 3) Categories or classes of predicates Aristotle distinguishes ten highest classes into one of which each predicate must necessarily fall: substance (or what a thing is), quality, quantity, relation, place, time, position, state, activity and passivity. (Cat., 4, 1b25-27; To., I, 9, 103b20- ; PsA., A, 22, 83b13-23) The substance counted among predicates must refer to secondary and not primary substances not only because Aristotle insists that primary substances cannot be predicated but also from his own examples of the category of substance: man and animal. (To., I, 9, 103b25) However, if a predicate be asserted of itself or its genus be asserted of it, the predicate signifies substance or what is; but if ‘one kind of predicate is asserted of another kind,’ it signifies one of the other nines. (To., I, 9, 103b30) These categories are so comprehensive that no predicate can remain outside them so that even non-being has as many senses as categories. (Met., M, 1089a26-30) a) That whether Aristotle’s categories are merely linguistic or fundamentally ontological is a so much controversial dispute. Some like G. E. R. Lloyd believe that ‘categories are primarily intended as a classification of reality … rather than of the signifying terms themselves.’ b) Although Aristotle’s categories have been historically regarded as a classification of predications, there are some recent commentators like Jonathan Barnes that think it is classifying predicates and not predications. 4) Kinds of predicates In his introduction of Categories, as J. W. Thorp truly points out , Aristotle distinguishes between the category of substance and the other categories using μὲν ... δὲ construction. This construction illustrates that beside tenfold classification of categories, there is an even more crucial differentiation between two kinds of predicates: substance or what is on the one hand and the other nine ones on the other hand: the distinction between what is predicated of the subject as what it is and what is predicated of it as an accident. Therefore, we have three kinds of classification - a twofold, a fourfold and a tenfold-complicatedly classifying the same thing, viz. the predicate. Predicates can be divided also to four kinds: property, definition, genus and accident. (To., I, 4, 101b11-20) A property is that predicate that is convertible with its subject and does not signify its essence. A definition is that predicate that is convertible with its subject and signifies its essence. It is a genus if it is not predicated convertibly and is contained in the definition of its subject. And it is an accident if it is neither convertible nor contained in the definition of its subject. (To., I, 8, ^103b3) All of these four kinds are among categories. (To., I, 9, 103b20) It seems that there might be some kind of relation between the twofold and the fourfold distinction: whereas genus and definition are predicated as what it is, accidents are not so predicated. There seems to be some rules that determine to each of these four kinds each predicate belongs. At To., IV, 123b30ff. Aristotle asserts: ‘If B has a contrary and A does not, then B does not belong to A as its genus.’ There is a dispute around per se accidents (τὰ καθ’ αὑτὰ συμβεβηκότα) (Topics., 102a18) whether they must be regarded as either of the four kinds or as a fifth kind. Barnes (1970) argued that they ‘do not fit at all neatly into the fourfold classification.’ He argues that based on the definition of accidents at A, 5, 102b4-5, they must be accidents but based on another definition, A, 5, 102b6-7, they cannot be accidents. He also defends the view that they are not properties. Barnes concludes: ‘This shows that the two definitions are not equivalent, and hence that the ‘predicables’ are not well-defined.’ Demetris J. Hadgopoulos defends the view that the two definitions of accidents are equivalent and per se accidents are properties. 5) Five types of predications We have five kinds of predications based on our division of subjects and our discussion of predicates: simple, primary (itself divided to substantial and accident), accidental (itself divided to primary and secondary), aoincidental and absolute predication. a) Simple predication. This is a predication in which a universal is predicated of either a particular or a universal subject. This sense of predication includes all other senses except the first kind of accidental predication. b) Primary predication. This is a predication in which a universal is predicated of a primary subject, namely a substance. A primary predication is of two kinds: i) Substantial predication. A primary predication in which the predicate is part of, or is included in, the definition of the subject. The universal that is the predicate here is the definition or the genus or the species or the diferentia of the subject. It is this predication that Aristotle calls a unity: ‘A statement may be called a unity … because it exhibits a single predicate as inhering not accidentally in a single subject.’ (PsA., B, 10, 93b35-37) It is only substantial predicates that can be predicated of each other: ‘Predicates which are not substantial are not predicated of one another.’ (PsA., A, 22, 83b18-19) Aristotle defines a substantial predication also in another way. A predication in which a higher genus is predicated on a lower genus, species, a substance or an individual, (or a species is predicated on an individual) is a substantial predication. Therefore, a substantial predication is a predication in a series that has individuals on one of its ends and a general category on its other end. In fact, only substantial predicates can be predicated of one another. (PsA., A, 22, 83b17-19) This series cannot be an infinite series because otherwise not only substances would not be definable but also a genus would be equal to one of its own species. (PsA., A, 22, 83b7-10) -/- ii) Accident predication. A primary predication in which the predicate is not part of, or is not included in, the definition of its subject. The universal that is the predicate here is the property or the accident of the subject. c) Accidental predication. This is a predication in which the subject is not a primary subject and its predicate is a substance. This predication is of two kinds: i) Primary accidental predication. This is a predication in which an accident is predicated of substance. Such a predication can go ad infinitum, which is inferable from Aristotle’s assertion that the secondary accidental predication cannot go ad infinitum. ii) Secondary accidental predication. It is a predication in which an accident is predicated of another accident. Such a predication, Aristotle asserts, cannot go ad infinitum because even more than two accidents cannot be combined. Now what is the meaning of Aristotle’s assertion that we cannot continue this ad infinitum? Does it mean that we cannot continue the predication ‘The musician is white’ and say ‘The white is Athenian?’ But why not? Or maybe he means that by adding any predication, we are still in a condition of predicating two accidents of a substance on each other. -/- As primary subjects, substances can also take the position of predicate though not essentially but accidentally. In propositions like ‘the white is a log’ or ‘That big thing is a log’ we observe substance taking the position of predicate but this is only accidentally: ‘When I affirm ‘the white is a log,’ I mean that something which happens to be white is a log- not that white is the subject in which log inheres (οὐχ ὡς τὸ ὑποκείμενον τῷ ξύλῳ τὸ λευκόν ἐστι), for it was not qua white or qua a species of white that the white (thing) came to be a log (οὔτε λευκὸν ὄν οὔθ᾿ ὃπερ λευκόν τι ἐγἐνετο ξύλον), and the white (thing) is consequently not a log except incidentally.’ (PsA., 22, 83a3-9) Aristotle compares this accidental use of substance in the position of predicate with the substantial use of it in the place of a subject: ‘On the other hand, when I affirm ‘the log is white,’ I do not mean that something else, which happens to be a log, is white (οὐχ ὃτι ἓτερόν τί ἐστι λευκόν, ἐκείνῳ δὲ συμβέβηκε ξύλῳ εἶναι), (as I should if I said ‘the musician is white,’ which would mean ‘The man who happens also to be a musician is white’); on the contrary, log is here the subject- the subject which actually came to be white, and did so qua wood or qua a species of wood and qua nothing else.’ (PsA., 22, 83a8-14) Aristotle asks us not to call propositions like ‘The white is a log’ a predication at all or at least call them accidental predication instead of simple (ἁπλως) predication. (PsA., A, 22, 83a14-17) An accidental predication, in which we have a substance in the place of predicate, is different from an essential predication in that while the subject of an accidental predication is said to be the predicate not by itself but as something different with which it coincides, the subject of an essential predicate is said to be the predicate by itself and not because it is something else: ‘Since there are attributes which are predicated of a subject essentially and not accidentally- not, that is, in the sense in which we say ‘That white (thing) is a man,’ which is not the same mode of predication as when we say ‘The man is white’: the man is white not because he is something else but because he is man, but the white is man because ‘being white’ coincides with ‘humanity’ within one subject. Therefore, there are terms such as are essentially subjects of predicates. (PsA., A, 19, 81a24-29) This capability of ‘non-essentially and only accidentally’ being a subject does belong, in fact, to all sensible things. (PsA., A, 27a32-36) d) Coincidental predication. this is a predication in which none of the subject and predicate are a substance or an individual. In this predication, one of the accidents of a substance or individual is predicated of one of the other accidentals of the same substance or individual. For example, when it is said that ‘The white is musical,’ there is an individual, say Socrates, for which both of white and musical are accidents. e) Absolute predication. This is a predication in which a form or a substance is predicated of a matter or a material substance. Some commentators like Loux and Lewis regarded this predication as close to accident predication, both based on inherence. As R.M. Dancy points out, these predications make Aristotle’s theory of predication immanentist: not only accident predications are explained by the immanence of accidents in substances, some of the substantial predications, which were not explained in Categories, are also explained by the immanence of form in matter. It is interesting that in this kind of predication, it is the predicate and not the subject, which is in the strictest sense substance. As the central books of Metaphysics claim, the form is the substance. Thus, in this predication, substance gets away from the sense of ὑποκείμενον. Corkum mentiones 68a19 as the only instance where Aristotle explicitly claims that a term may be predicated of itself, a passage that is, in Corkum’s view, problematic. 6) Demonstrable predicates Those predicates are demonstrable that are so related to their subjects that there are other predicates prior to them predicable of their subjects (ἔτι δ᾿ ἄλλος, εἰ ὧν πρότερα ἄττα κατηγορεῖται). (PsA., A, 22, 83b32-34) 7) Series of predications Since it is possible for a predicate to be itself the subject of another predication, we can have a series of predications in which the predicate of a predication is the subject of the next predication. This series has the following features: a) It has a limit (in number) (PsA., A, 22, 83b14-16) on the side of subjects: there are subjects that cannot themselves be predicated (PsA., A, 27, 43a39-41), which are, as we noted, prime subjects: particulars, i.e. prime substances and other individuals. (PsA., A, 19-22) Aristotle calls them ultimate (ὓστατον). (PsA., 21, 82a36-b1) b) It has a limit (in number of kinds) (PsA., A, 22, 83b14-16) also on the side of predicates: there must be predicates that cannot be subjects. (PsA., A, 19-22; PsA., A, 27, 43a36-39) Aristotle calls them primary (πρῶτον). (PsA., A, 21, 82b1-4) These are the highest categories or the highest genera of categories. (PsA., A, 22, 83b14-16) c) The series has an escalating shape from mere subjects at its downside to mere predicates at its upside. It is Aristotle himself whos uses the words up and down in this sense. (e.g. PsA., A, 22, 83b2-3) d) The predications that lie between lowest and highest ones must be finite in number. (PsA., A, 19-22 especially: 20, 82a21-35) These have subjects and predicates, each capable of both of the roles of being subject and being predicated. A result of this fitness is that neither demonstration can go to infinity nor everything is demonstrable, the two points Aristotle always insist on. e) The upward side includes the more universal ones and the downward the more particular ones. (PsA., 20, 82a21-23) f) It follows from the above features that ‘neither the ascending nor the descending series of predications … are infinite.’ (PsA., A, 22, 83b24-25) g) Reciprocation and convertibility. Except in case of terms (i.e. subjects and predicates) that are at each of the ends of series of predications, namely ultimates and primaries, it is possible to reciprocate (ἀντιστρέφειν) terms and convert the predication. (PsA., A, 19, 82a15-20) h) Antipredication. Antipredication means that in a predication (S is P), the subject becomes the predicate of its predicate (P is S) in the same category its predicate was predicated on it. For example, if P is in the category of quality, antipredication means that S be predicated of P in the category of quality. In other words, P is a quality of S and S is a quality of P. Aristotle rejects this. (PsA., A, 22, 83a36-b3) i) Self-predication versus other-predication. Aristotle distinguishes between a predication in which a term is said of itself and a predication in which a term is said of another. (Phy., Δ, 2, 209a31-33) j) Predicablity (Cat., 5, 3a36-b2): 1) Primary substances and individuals are not predicable. 2) Secondary substances are of two kinds: genus and species i) Genus is predicable able both of the species and of the individuals. ii) Species is predicable of the individual. 3) Differentiae are predicable both of the species and of the individuals. 8) Predication as classification a) Richard Patterson believes that Aristotle’s so repeated construction using hoper (estin A hoper B) in Topics (120a23 sq., 122b19, 26sq., 123a, 124a18, 125a29, 126a21, 128a35. Also in Posterior Analytics (83a24-30) (Brunschwig’s list. ‘expresses the fact that A is a kind of B (esti A B tis), that A is a species of the genus B.’ 9) Universal predication Aristotle defines universal predication (κατὰ παντὸς κατηγορεῖσθαι) as such: ‘wherever no instance of the subject (τῶν τοῦ ὑποκειμέμνου) can be found of which the other term cannot be asserted.’ (PrA., A, 24b27-29) In this predication, the subject is included in another as in a whole (ἐν ὃλῳ εἶναι) and the predicate is predicated of all of the subject (κατὰ παντὸς κατηγορεῖσθαι). (PrA., A, 24b26-27) Attach another discussion we had about ἐν ὃλῳ here. 10) Quantity of predication A predication, truly stated, has a quantity, which is the number of objects under the name of the subject of which the predicate is predicated. The quantity of subject can be stated in four ways: a. Indefinite: when the predicate belongs or does not belong to the subject without any mark to show to haw many of the particulars under the name of the subject it does or does not belong. E.g. ‘Man is white’; ‘Man is not white.’ (PrA., A, 24a20; OI., I, 7, 17b8-12) b. Universal quantity: When the predicate belongs to all or none of the subject. E.g. ‘Every man is animal’; ‘No man is animal.’ (PrA., A, 24a18-19; OI., I, 7, 17b5-6) The contrary of a predication of a universal quality is a predication of a universal quality. E.g. the contrary of ‘Every man is white’ is ‘No man is white.’ (OI., I, 7, 17b20-23) c. Particular quantity: When the predicate belongs (or does not belong) to some of the subject. E.g. ‘Some men are white’; ‘Some men are not white.’ (PrA., A, 24a19-20) d. Single quantity: when the subject is a proper name of only one object. E.g. ‘Socrates is white’; ‘Socrates is not white.’ The contrary of this predication is of a single quantity: ‘Socrates is not white.’ (OI., I, 7, 17b38-18a4) 11) Convertibility of predication. Some predications are convertible, that is, it is possible to change the place of subject and predicate in a true proposition so that the converted proposition remains true. This is supposed to mean that given the truth of a predication, the truth of the converted predication is inferable. The convert form of a predication depends on its quantity. a. Indefinite quantity: This predication has no strictly true convert because its quantity is not stated. b. Universal quantity: It can be converted in two ways: i) A negative universal can be converted to a negative universal in which the terms are changed. E.g. ‘No pleasure is good’ can be converted to ‘No good is pleasure.’ (PrA., A, 2, 25a5-8 and a14-19) ii) An affirmative universal can be converted to an affirmative particular in which the terms are changed. E.g. ‘Every pleasure is good’ can be converted to ‘Some good is pleasure.’ (PrA., A, 2, 25a7-9) c. Particular quantity: If it is negative, it cannot be converted but if it is affirmative, it can be converted to an affirmative predication with particular quantity. E.g. ‘Some pleasure is good’ can be converted to ‘Some good is pleasure.’ (PrA., A, 2, 25a10-13 and a20-24) d. Single quantity: It cannot be converted. 12) Characteristics of relations between subject and predicate 1. A predicate is of a wider range than its subject. It is based on this fact that Aristotle: a) Prevents individuals to be predicate because there is nothing of which an individual be of a wider range. In other words, it is due to the fact that since an individual is only ‘one particular’ thing and, thus, cannot be of a wider extent than anything that Aristotle prevents them of being a predicate. Matthews, however, thinks we cannot use Socrates, a substance and an individual, in the place of predicate and say it of Socrates because ‘Socrates does not classify Socrates: it names him.’ b) Prevents differentia, species and things under species to be predicated of genus. (To., Z, 6, 144a27-) c) Prevents the species and the things under it to be predicated of the differentia. (To., Z, 6, 144b1-4) d) Also about the effect because it is wider than its subject. (PsA., B, 17, 99a) e) Each attribute is wider than every individual it is predicated on, though several attributes, collectively considered, might not be wider but exactly the substance of a thing. (PsA., B, 13, 96a32-b1) 2. The predicate of a predicate of a subject will be predicated of the subject too: ‘whenever one thing is predicated of another as of a subject, all things said of what is predicated will be said of the subject too.’ (Cat., 3, 1b10-15) In fact, it is due to its predication of the subject that it is predicated of its predicate. (Cat., 5, 2a36-b1) Moreover, what is not predicated of the predicate of a subject cannot be predicated of it as well. (PrA., A, 27, 43b22-27) Thus, what, for example, is not predicated of animal, cannot be predicated of man. 3. The predicate of a subject can be predicated of its predicates as well. (Cat., 5, 3a1-6) For example, you call the individual man grammatical and, thence, you call both a man and an animal grammatical. Nonetheless, the predicate of a subject belongs to it more properly than to its higher predicates. (PrA., A, 27, 43a27-32) 4. It is only the subject that can be distributed and not the predicate. (PrA., A, 27, 43b16-22; OI, I, 7, 17b12-16) Therefore, we can say e.g. ‘Every man is animal’ but we cannot say ‘Every man is every animal.’ 5. It is the reason of the relation between subjects and predicates, that is the reason of predication, which is the subject of inquiry. (Met., Z, 1041a20-24) In other words, since it is a meaningless inquiry to ask why a thing is itself (Met., Z, 1041a14-15), the only remaining meaningful inquiry is to ask why something is something else, i.e. to ask about the reason of predication. 6. A subject cannot categorize its predicate in the same category in which it is categorized by it. If e.g. A is a quality of B, B cannot be a quality of A. Therefore, there is no reciprocation in the same category. (PsA., A, 22, 83a36-39) 13) Characteristics of series of predications 1. A series of secondary accidental predication cannot go ad infinitum for not even more than two terms can be comnbined. For an accident is not an accident of an accident, unless it be because both are accidents of the same subject. (Met., Γ, 1007b1-4) 2. Infinite series cannot be traversed in thought. (PsA., A, 22, 83b6-7) 3. The predications of genera on each other must be ended and cannot go to infinity because otherwise not only substances would not be definable but also a genus would be equal to one of its own species. (PsA., A, 22, 83b7-10) Therefore, a series of predication of genera on each other must be limited on both sides. There must be an upward limit in general categories as well as a downward limit in individual because they cannot be predicated of others. Whatever lies between these limits can both be predicated of others and others be predicated of them. (PrA., A, 27, 43a36-43) 4. The order of predicates matters: it makes a difference whether the series be ABC or BAC. (PsA., B, 13, 96b25-32) . (shrink)

Aristotle classifies opposition (ἀντικεῖσθαι) into four groups: relatives (τὰ πρός τι), contraries (τὰ ἐναντία), privation and possession (στρέσις καὶ ἓξις) and affirmation and negation (κατάφασις καὶ ἀπόφασις). (Cat. , 10, 11b15-23) His example of relatives are the double and the half. Aristotle’s description of relatives as a kind of opposition is as such: ‘Things opposed as relatives are called just what they are, of their opposites (αὐτὰ ἃπερ ἐστι τῶν ἀντικειμένων λέγεται) or in some other way in relation to them. (...) For example, the double is called just what it is double of the other (οἷον τὸ διπλάσιον, αὐτὸ ὃπερ ἐστίν, ἑτέρου διπλάσιον λέγεται). Again, knowledge and the knowable are opposed as relatives, and knowledge is called just what it is, of the knowable, and the knowable too is called just what it is, in relation to its opposite, knowledge; for the knowable is called knowable by something-by knowledge.’ (Cat., 10, 11b24-30) 2) Senses of relatives In Met., Δ, 1020b26-32 Aristotle distinguishes three senses of relatives: i) That which contains something else many times to that which is contained many times in something else, and that which exceeds to that which is exceeded. E.g. double to half ii) The active to the passive; e.g. that which can heat to that which can be heated iii) The measurable to the measure, e.g. the knowable to knowledge and the perceptible to perception. 3) Relatives and contraries Aristotle’s discussion of relatives is unbelievably ambiguous. While he enumerates relatives besides contraries, privation-possession and affirmation-negation as four types of opposition (Cat., 10, 11b15-23), not only does not he restrict relatives to oppositions but he also does not totally differentiate it from contraries. Aristotle distinguishes between two senses of relatives one of which is contraries: ‘We have distinguished elsewhere the two senses in which relatives are so called-some as contraries (ὡς ἐναντία), others as knowledge to things known, a term being called relative because what is said one to the other is said by the other to itself (τῷ λέγεσθαί τι ἄλλο πρὸς αὐτό). (Met., I, 1056b34-1057a1) It seems that this differentiation is the same as, and maybe the one he himself refers to, the differentiation between the second and the third senses of relatives in Met., Δ, 1021a27-32: ‘Relative terms which imply number or capacity, therefore, are all relative because their very essence includes in its nature a reference to something else, not because something else is related to it (πρός τι πὰντα ἐστὶ πρός τι τῷ ὃπερ ἐστὶν ἄλλου λέγεσθαι αὐτὸ ὃ ἐστιν, ἀλλὰ μὴ τῷ ἄλλο πρὸς ἐκεινο); but that which is measurable or knowable or thinkable is called relative because something else is related to it. For the thinkable implies that there is thought of it, but the thought is not relative to that of which it is the thought; for we should then have said the same thing twice.’ Although Aristotle confirms contrariety in relatives (e.g. virtue to vice and knowledge to ignorance), he denies that there is a contrary ‘to every relative’ as there can be no contrary to what is double or treble. (Cat., 7, 6b15-19) The fact that Aristotle dedicates one sense of relatives to contraries means that the fourfold division of oppositions is not such a strict division without any kind of community between them. In his example of the first sense, however, Aristotle says: ‘One and number are in a sense opposed, not as contrary, but as we have said some relative terms are opposed; for inasmuch as one is measure and the other measurable, they are opposed.’ (Met., I, 1057a4-6) Now, the question is: Is Aristotle’s first sense of relative a contrary or not? Aristotle tells us that the opposition in this sense of relatives is the opposition of measure and measurable. The second sense has two differences with the first one: i) it is not a contrary and ii) what is said by one of the relatives to the other is also said by the latter to the former. To differentiate it from the first sense, when the one is the measure of the other, the latter will be the measure of the former as well: ‘But though knowledge is similarly spoken of as related to the knowable, the relation does not work out similarly for while knowledge might be thought to be the measure, and the knowable the thing measured, the fact is that all knowledge is knowable, but not all that is knowable is knowledge, because in a sense knowledge is measured by the knowable.’ (Met., I, 1057a7-12) Aristotle’s assertion at Met., I, 1057a36-37 that ‘of relative terms, those which are not contrary have no intermediate’ ensures us that we must take the first sense as contraries. Here he mentions a criterion of differentiation between two senses: while the first sense accepts intermediates (as, for example, great and small do), the second one does not. (Met., I, 1057a37-b1) It seems, however, that it is only the second sense that is the essential sense of relatives because the first sense, Aristotle says, is an accidental sense: ‘The one is opposed then to the many in numbers as measure to things measureable; and these are opposed as relatives which are not from their very nature relatives.’ (Met., I, 1056b32-34) 4) Definition of relative Aristotle’s first definition of the category of relative (πρός τι) is as such: ‘We call relative all such things as are said to be just what they are, of or than other things, or in some other way in relation to something else (Πρός τι δὲ τὰ τοιαῦτα λέγεται, ὃσα αὐτὰ ἃπερ ἐστὶν ἓτερων εἶναι λέγεται, ἢ ὁπωσοῦν ἄλλως πρὸς ἓτερον). (Cat., 7, 6a36-37; repeated almost without any change in: Cat., 7, 6b6-8) Aristotle’s examples are larger (because it is what it is than something else (τοῦθ᾿ ὃπερ ἐστὶν ἑτέρου λέγεται) that means it is called larger than something) and double. (Cat., 7, 6a37-b1) Aristotle’s aporia regarding relative is about their relation with substances: whether no substance is spoken of as a relative, or whether this is possible with regard to some secondary substances. (Cat., 7, 8a13-15) In the case of primary substances, it seems that he is confident, at least at first, that neither themselves nor their parts are spoken of in relation to anything: neither an individual man is called someone’s individual man nor an individual hand is called someone’s individual hand (but someone’s hand). (Cat., 7, 8a15-21) Although it is obvious that most of secondary substances are not spoken of as relatives (a man is not called someone’s man) (Cat., 7, 8a21-25), there are some with them there is room for dispute: a head is someone’s head and a hand is called someone’s hand, which seem to be relatives. (Cat., 7, 8a25-28) Aristotle thinks this must be due to the previous definition’s being problematic: with that definition ‘it is either exceedingly difficult or impossible to reach the solution that no substance is spoken of as a relative.’ (Cat., 7, 8a28-32) Thus, Aristotle changes his previous definition to a new one: ‘Those things are relatives for which being is the same as being somehow related to something’ (ἔστι τὰ πρός τι οἷς τὸ εἶναι ταὐτόν ἐστι τῷ πρός τί). (Cat., 7, 8a32-34) Although the first definition does indeed apply to all relations, its problem is that it does not take ‘their own being relative’ (τῷ πρός τι αὐτοῖς εἶναι) the same as ‘their being what they are of other things’ (ἃπερ ἐστὶν ἑτέρων λέγεσθαι). (Cat., 7, 8a34-37) Although this change of definition is to exclude all substances from being relative, what Aristotle says in Topics (To., Z, 8, 146a39- ), seems to ignore this: ‘For of everything relative the substance is relative to something else, seeing that the being of every relative term is identical with being in a certain relation to something.’ 5) Necessary knowledge of the related Knowledge of that in relation to which a relative is spoken of is necessary when one knows the relative: it is impossible to know a relative and at the same time not to know that in relation to which it is spoken of. (Cat., 7, 8a37-b3) To prove this, Aristotle adheres to the definition of relatives: ‘If someone knows of a certain ‘this’ that it is a relative, and being for relatives is the same as being somehow related to something, he knows that also to which this is somehow related.’ (Cat., 7, 8a37-b3; cf. 7, 8b3-15 for Aristotle’s examples) This necessary knowledge of the related, if we call it so, dedicates Aristotle an epistemological reason, besides the ontological one mentioned in his definition, for the exclusion of substances. As we noted in our discussion of Aristotle’s definition of relatives, he changed his first definition to exclude all substances from being relatives. Therefore, it is evident that for him relatives must not include substances, either primary or secondary. Aristotle does have no problem with primary substances simply because it is evident for him that they cannot be relatives. The same can be said about most of the secondary substances as well. The problem for which he changed the definition of substances was about some secondary substances like ‘head’ or ‘hand’: the fact that it is possible to know a hand or head without necessarily knowing definitely that in relation to which it is spoken of proves that they are not relatives. (Cat., 7, 8b15-21) 6) Reciprocation Aristotle regards reciprocation (ἀντιστρέφειν) necessary in all relations: ‘All relatives are spoken of in relation to correlatives that reciprocate.’ (Cat., 7, 6b28-29; cf. Cat., 10, 12b21-24) The sense of reciprocation is clear by his own examples: ‘The slave is called slave of a master and the master is called master of a slave; the double double of a half, and the half half of a double.’ (Cat., 7, 6b29-31) Reciprocation of relatives is so necessary that if there seems that we do not have reciprocation, it must necessarily be due to a mistake and that in relation to which something is spoken of must have not been given properly. (Cat., 7, 6b36-7a1) Aristotle’s example is this: If a wing is given as of a bird, ‘bird of a wing’ does not reciprocate because it has not been given properly: a wing is of a winged and not of a bird; a wing is wing of a winged and a winged is winged with a wing. (Cat., 7, 7a1-5) Even if we do not have a proper name to have a proper reciprocation, Aristotle points, we must invent names. (Cat., 7, 7a5-15 and 7b10-14) Thus, having proper names is the condition of necessary reciprocation: ‘All relatives are spoken of in relation to correlatives that reciprocate, provided they are properly given.’ (Cat., 7, 7a22-23) This condition is also said in another way: there is no reciprocation if a relation is given as related to some chance thing or to something that is accidentally the related thing like when, for example, a slave is given as of a man or a biped instead of being given as of a master. (Cat., 7, 7a25-31) 7) Simultaneity of relatives Aristotle believes that in most cases relatives are simultaneous: double and half or master and slave must exist at the same time: when there is a half, there is a double and when there is a slave, there is a master. (Cat., 7, 7b10-14) However, this receives some exceptions like knowable, which is prior and can, thus, exist before and without knowledge. (Cat., 7, 7b22-27) What approves this non-simultaneousness for Aristotle is that the destruction of knowledge does not carry the knowable to destruction. (Cat., 7, 7b27-31) The same is said about perception and perceptible. (Cat., 7, 7b35-8a9) Aristotle attaches simultaneity to reciprocation. This reciprocation, however, is not a simple reciprocation but ‘reciprocation as to implication of existence’ (ἀντιστρέφει μὲν κατὰ τὴν τοῦ εἶναι) with the condition that neither be in any way the cause of the other’s existence. (Cat., 13, 14b27-29; the same is said also at: Cat., 13, 15a4-11) Aristotle’s examples are the double and the half because when there is a double there is a half and when there is a half there is a double but neither is the cause of the other’s existence. (Cat., 13, 14b29-32) (We have ‘reciprocation as to implication of existence’ also in relation between genus and species but it seems that this has a totally different sense there. 8) Having no independent reality That a relative cannot be a substance, either a primary or a secondary substance, is discussed in our review of both the definition of relatives and their reciprocation. The differentiation of relatives and substances are so deep for Aristotle that after questioning the possibility of any common element or principle for substances and relatives (Met., Λ, 1070a33-36), he asserts that no substance, on the one hand, is the element of relatives and none of the relatives, on the other hand, is the element of substances. (Met., Λ, 1070b3-4) Aristotle does not, however, suffice to this. For him, relatives have the least substantiality, which is, for him, almost the same as reality: ‘The relative is least of all categories a real thing (φύσις τις) or substance, and less than quality and quantity; and the relative is an affection of quantity.’ (Met., M, 1088a22-25) Aristotle believes that an evidence of this least reality (ὄν) and substantiality is that relatives have no proper generation, destruction or movement while each of substance, quality and quantity have them. (Met., M, 1088a29-35) Moreover, neither motion (Phy., E, 1) nor any kind of change is applicable to relatives so that relatives are neither themselves alterations nor the subject of alterations (Phy., Z, 3) and the process of losing and acquiring states cannot be considered as alterations because these are the result of the alterations of non-relative things of which they are states. (Phy., Z, 3) Relative is not even matter but is something different. (Met., M, 1088a24-25) The reason is that the matter is potentially of a nature but relative is neither potentially nor actually of a nature. (Met., M, 1088b1-2) To understand the status of relatives in Aristotle’s world, we have to make a tripartite classification; a classification that though Aristotle himself did not make, his assertions approve it. Based on this division, there are three kinds of being in the world: i) Independent beings: This class includes only substances. ii) Dependent beings: This class includes qualities and quantities. Although they are real, they are ‘in’ substances and cannot exist without them. iii) Super dependent beings: This class includes at least relatives. The fact that relatives must be considered in a third class different from substances, on the one hand, and qualities and quantities, on the other hand, is obvious not only from the previously mentioned texts (Met., M, 1088a22-25, 29-35 and b1-2) in which relatives’ reality is considered less than all substances, qualities and quantities and different from matters but from this text: ‘For there is nothing either great or small, many or few, or, in general, relative which is not something (τι ὄν) different (ἓτερον) [that is also] many or few or great or small’. (Met, N, 1088a27-30) Therefore, super dependent beings are those beings that must necessarily be also something else, i.e. an independent or dependent being. Ackrill (1963, 99) points that some of the words used by Aristotle to exemplify relational entities, e.g. slave, are endowed with a complete sense and do not need to be supplemented by a correlate. (Thus, the linguist criterion of incompleteness would be deficient. Some other instances of relative entities like ‘state,’ ‘knowledge’ and perception are not necessarily followed by the genitive case. 9) Extent of relatives What is the extent of relatives? What are or are not included in relatives either among categories or among other concepts? Which concepts or things Aristotle regard as relative? i) Aristotle includes state (ἓξις) and position (θέσις) among relatives. (Cat., 7, 6b2-6; Cat., 7, 6b11-14; Cat., 8, 11a20-24) ii) Although relative is not matter but is something different (Met., M, 1088a24-25), matter is ‘non-being’ only in virtue of an attribute (Phy., A, 9) and is, thus, a relative term. (Phy., B, 2, 194b9) 10) Property and relativity Aristotle draws a contrast between two types of giving a property, absolute and relative: ‘A property is given either in its own right and for always or relative to something else and for a time.’ (To., E, 1, ^128b15-18) Being a civilized man, for example, is an absolute property for man while to command is a relative property for the soul. The absolute property, however, is considered not only potential to be discussed or observed in relation to many things or periods of time, it in fact ‘belongs to its subject relatively to every single thing that there is, so that if the subject is not distinguished relatively to everything else, the property will not have been given correctly.’ (To., E, 1, 129a18-20) Therefore, an absolute property is a property that ‘is ascribed to a thing in comparison with everything else and distinguishes it from everything else.’ (To., E, 1, 128b33- ) An absolute property is, then, absolutely relative and not conditionally relative, i.e. relative to a specific thing. This is what differentiates it from a relative property, which is relative to a certain thing: ‘A property relative to something else is one which separates its subject off not from everything else but from a particular definite thing.’ (To., E, 1, 128b33- ) One important difference between absolute and relative properties is that while an accident can be a relative property, it can never be an absolute property. (To., I, 5, ^102b20-36) For example, sitting, which is an accident, is also a property relatively to those who are not sitting. (To., I, 5, ^102b20-36) 11) Platonic theories as relatives At least three of Platonic theories Aristotle attaches to relatives: i) Forms ‘It seems that a Form is always spoken of in relation to a Form-this desire itself is for the pleasure itself, and wishing itself is for the good itself.’ (To., Z, 8, 147a^10) Moreover, the theory of Forms takes the relative prior to the absolute as, for example, it takes not the dyad but the number as first. (Met., A, 990b15-17) Aristotle believes that this is against not only the necessities of the case but only the Platonists’ opinion because Forms must be substances only, if they can be shared. (Met., A, 990b27-29) There are, however, things like ‘equal’ which are only relative: they are only in relation to something else. Now the theory that ideas are supposed to be substances only should entail the substantiality of merely relatives. The reason being that Forms are not shared incidentally but each thing shares in that which is not predicated of a subject. (Met., A, 990b29-31) ii) Unequal The Platonic theory of great and small or unequal, which we know more from Aristotle and has, in Platonic philosophy, a role like that of matter in Aristotelian philosophy, is also called relative by Aristole. (Met., M, 1089b4-15) iii) Potentiality Aristotle says that Platonists take what potentially is a ‘this’ and a substance but not actually so a relative because it is ‘neither potentially the one or being, nor the contradictory of the one nor of being, but one among beings.’ (Met., N, 1089b15-20) 12) All things as relative Aristotle attaches the theory that ‘everything is true’ to relativity and thinks the consequence of believing in this theory is that everything is true: ‘He who says all things that appear are true, makes all things relative.’ (Met., Γ, 1011a17-20) 13) Genera and species of relatives There are some genera, Aristotle hints, that are relative but their species are not relative. In such cases, the genera are spoken of in relation to something, but none of the particular cases are so spoken. (Cat., 8, 11a20-36) Aristole’s examples are knowledge and grammar of which the former is a relative but the latter is a quality. The consequence of this is that there is nothing absurd for a thing to be in both genera of relative and quality. (Cat., 8, 11a37- ) However, when the species is a relative, the genera will be a relative too. (To., Δ, 4, 124b15- ) Moreover, Aristotle asserts that ‘the differentiae of relative terms are themselves relative.’ (To., Z, 6, 145a14-16) Things that are called relative are called so, Aristotle says, ‘because the classes that include them are of this sort, e.g. medicine is thought to be relative bcs its genus, knowledge, is thought to be relative,’ (Met., Δ, 1021b4-6) 14) Relatives as indefinite? Fabio Morales takes 1088a29-b1 as a textual evidence supporting the assumption that Aristotle regarded relational terms as indefinite. (shrink)

In the correspondence with Arnauld, Leibniz contends that each corporeal substance has a substantial form. In support he argues that to be real a corporeal substance must be one and indivisible, a true unity. I will show how this argument precludes a tempting interpretation of corporeal substances as composite unities. Rather it mandates the interpretation that each corporeal substance is a single monad.

According to a certain kind of naïve or folk understanding of physical matter, everyday ‘solid’ objects are composed of a homogeneous, gap-less substance, with sharply defined boundaries, which wholly fills the space they occupy. A further claim is that our perceptual experience of the environment represents or indicates that the objects around us conform to this sort of conception of physical matter. Were this further claim correct, it would mean that the way that the world appears to us in (...) experience conflicts with the deliverances of our best current scientific theories in the following respect: perceptual experience would be intrinsically misleading concerning the structure of physical matter. I argue against this further claim. Experience in itself is not committed to, nor does it provide evidence for, any such conception of the nature of physical matter. The naïve/folk conception of matter in question cannot simply be ‘read-off’ from perceptual appearances. (shrink)

Yitzhak Melamed here offers a new and systematic interpretation of the core of Spinoza's metaphysics. In the first part of the book, he proposes a new reading of the metaphysics of substance in Spinoza: he argues that for Spinoza modes both inhere in and are predicated of God. Using extensive textual evidence, he shows that Spinoza considered modes to be God's propria. He goes on to clarify Spinoza's understanding of infinity, mereological relations, infinite modes, and the flow of finite (...) things from God's essence. In the second part of the book, Melamed relies on this interpretation of the substance-mode relation and the nature of infinite modes and puts forward two interrelated theses about the structure of the attribute of Thought and its overarching role in Spinoza's metaphysics. First, he shows that Spinoza had not one, but two independent doctrines of parallelism. Then, in his final main thesis, Melamed argues that, for Spinoza, ideas have a multifaceted structure that allows one and the same idea to represent the infinitely many modes which are parallel to it in the infinitely many attributes. Thought turns out to be coextensive with the whole of nature. Spinoza cannot embrace an idealist reduction of Extension to Thought because of his commitment to the conceptual separation of the attributes. Yet, within Spinoza's metaphysics, Thought clearly has primacy over the other attributes insofar as it is the only attribute which is as elaborate, as complex, and, in some senses, as powerful as God. (shrink)

The purpose of this article is to reconstruct Aristotle’s distinction between primary substances and their homonyms. It is shown that the Stagirite regards both body parts and artefacts as mere homonyms of primary substances when they are no longer capable of performing their function (ergon) and actualizing their end (telos). In the course of the present discussion, Aristotle’s approach is confronted with his famous doctrine of the four causes, whilst an analysis of the examples given by the Stagirite serves the (...) purpose of determining the ontic status of homonyms. Subsequently, this paper argues that Aristotle’s hylomorphism not only defies the functionalist assumption of the irrelevance of matter but also precludes the possibility of equating artefacts with living organisms. The discussion concludes with an observation that primary substances which are truly (alēthōs) and things which are only homonymously (plēn homōnymōs) require different definitions. (shrink)

In the correspondence with Arnauld, Leibniz contends that each corporeal substance has a substantial form. In support he argues that to be real a corporeal substance must be one and indivisible, a true unity. I will show how this argument precludes a tempting interpretation of corporeal substances as composite unities. Rather it mandates the interpretation that each corporeal substance is a single monad.

My objective is a better comprehension of two theoretically fundamental concepts. One, the concept of a substance in an ordinary (non-Aristotelian) sense, ranging over such things as salt, carbon, copper, iron, water, and methane – kinds of stuff that now count as (chemical) elements and compounds. The other I’ll call the object-concept in the abstract sense of Russell, Wittgenstein, and Frege in their logico-semantical enquiries. The material object-concept constitutes the heart of our received logico / ontic system, still massively (...) influenced by Aristotle after almost 2.5 millennia. On such an account, the fundamentality of material objects and their attributes are the metaphysical basis of the cosmos, as reflected in our received logic, Quine’s ‘canonical notation’ – derived via the empiricism of Russell from Frege’s function-based Begriffschrifft, and consisting of concrete singular terms and variables, quantifiers and predicate-expressions. The inadequacy of Frege’s approach to understanding concepts is reflected in his initial question. Frege enquires of ‘what it is that we are calling an object’, remarking that he regards a regular definition as impossible: “we have here something too simple to admit of logical analysis”. The imagined ultimacy or simplicity of the idea of a single object (arithmetically, just a unit – one as against two, three, four, etc.) as foundational to the calculus is just that – imagined. It is also guaranteed to block the comprehension of the substance-concept. (shrink)

The paper offers a new account of Spinoza's conception of “substance”, the fundamental building block of reality. It shows that it can be demonstrated apriori within Spinoza's metaphysical framework that (i) contrary to Idealist readings, for Spinoza there can be no substance that is not determined or modified by some other entity produced by substance; and that (ii) there can be no substance (and hence no being) that is not a thinking substance.

Leibniz accepts causal independence, the claim that no created substance can causally interact with any other. And Leibniz needs causal independence to be true, since his well-known pre-established harmony is premised upon it. So, what is Leibniz’s argument for causal independence? Sometimes he claims that causal interaction between substances is superfluous. Sometimes he claims that it would require the transfer of accidents, and that this is impossible. But when Leibniz finds himself under sustained pressure to defend causal independence, those (...) are not the reasons that he marshals in its defense. Instead, deep into his long correspondence with Burchard de Volder, he gives a different sort of argument, one that has gone nearly unnoticed by commentators and has not yet been properly understood. In part, this is because the argument develops slowly over four years of correspondence. It emerges in early 1704, but it is formulated tersely and appears murky unless understood in light of Leibniz and De Volder’s tangled exchanges. There Leibniz argues that, on his distinctive ontology of an infinity of created substances, no two created substances could possibly causally interact, for roughly the same reasons that some Cartesians like De Volder deny interaction between minds and bodies on their substance dualist ontology. In this paper I draw out this lost argument, explain it and the metaphysics on which Leibniz builds it, and untangle Leibniz and De Volder’s exchanges concerning causation from which this argument results. (shrink)

This thesis considers two allegations which conservatives often level at no-fault systems — namely, that responsibility is abnegated under no-fault systems, and that no-fault systems under- and over-compensate. I argue that although each of these allegations can be satisfactorily met – the responsibility allegation rests on the mistaken assumption that to properly take responsibility for our actions we must accept liability for those losses for which we are causally responsible; and the compensation allegation rests on the mistaken assumption that tort (...) law’s compensatory decisions provide a legitimate norm against which no-fault’s decisions can be compared and criticized – doing so leads in a direction which is at odds with accident law reform advocates’ typical recommendations. On my account, accident law should not just be reformed in line with no-fault’s principles, but rather it should be completely abandoned since the principles that protect no- fault systems from the conservatives’ two allegations are incompatible with retaining the category of accident law, they entail that no-fault systems are a form of social welfare and not accident law systems, and that under these systems serious deprivation – and to a lesser extent causal responsibility – should be conditions of eligibility to claim benefits. (shrink)

In book Zeta of the Metaphysics and elsewhere Aristotle appears to commit himself to the following propositions: (1) No universal can be substance; (2) Form is a universal; and (3) Form is that which is most truly substance. These propositions appear to constitute an inconsistent triad lying at the heart of Aristotle’s ontology. A number of attempts have been made to rescue Aristotle from the charge of inconsistency. Some have claimed that Aristotle did not subscribe to (1), but (...) only to the proposition that nothing predicated universally can be substance. Others hold that, contrary to (2), form is not a universal but peculiar to each individual. Still others argue that the sense of ‘substance’ in which the species form is a substance is not the sense in which no universal is substance. I argue that none of these attempts to rescue Aristotle from the charge of inconsistency is ultimately defensible. (shrink)

This paper explores the development of Leibniz’s metaphysics of the Incarnation in the context of his philosophy. In particular it asks to what extent Leibniz’s repeated endorsement of the traditional analogy between the union in humankind of soul (mind) and body, and the union in Christ of divine and human natures, could be accommodated by his more general metaphysical doctrines. Such an investigation highlights some of the deepest commitments in Leibniz’s theory of substance as well as detect in it (...) some unresolved tensions. The paper comes to the conclusion that puzzling points of Leibniz’s metaphysics of the Incarnation, rather than being problems specific to his theology, uncover tensions in his theory of substance as such – tensions converging on the vexed question of whether there can or cannot be genuine corporeal substances in Leibniz’s mature philosophy. (shrink)