Aristotle recognizes two modes of apprehending time, viz., perceiving time and grasping time intellectually. This chapter clarifies what is and is not involved in these two modes of apprehending time. It also clarifies the way in which they interact, and argues that, according to Aristotle, one’s intellectual grasp of time has an effect on one’s perception of time for those beings who have intellect.

This paper defends Aristotle’s project of deriving the order of time from the order of change in Physics 4.11, against the objection that it contains a vicious circularity arising from the assumption that we cannot specify the direction of a change without invoking the temporal relations of its stages. It considers and rejects a solution to this objection proposed by Ursula Coope, and proposes an alternative solution. It also considers the related problem of how the temporal orders and (...) directions derived from individual changes can together constitute a single, globally consistent order and direction of time. (shrink)

Aristotle’s process of constituting the notion of time through Phy., Δ, 10 to Phy., Δ, 12 has the following steps: 1) Time and not-being Since one part of time ‘has been and is not, while the other is going to be and is not yet … one would naturally suppose that what is made up of things which do not exist could have no share in reality.’ (Phy., Δ, 10) 2) Time, divisibility and now We (...) should not regard time as something divisible to parts, some of which belong to past and some other to future. Aristotle argues that ‘if a divisible thing is to exist, it is necessary that, when it exists, all or some of its parts must exist. But of time some parts have been, while others have to be, and no part of it is though it is divisible.’ The last phrase, namely ‘no part of it is’ is based on the fact that ‘what is ‘now’ is not a part.’ The reason being that ‘a part is a measure of the whole, which must be made up of parts. Time, on the other hand, is not held to be made up of ‘nows.’’ (Phy., Δ, 10) 3) Time is not motion Aristotle rejects a general belief based on which time is ‘motion and a kind of change’ because while ‘the change or movement of each thing is only in the thing which changes or where the thing itself which moves or changes may chance to be,’ ‘time is present equally everywhere.’ (Phy., Δ, 10) 4) Time cannot exist without change Although time is not motion or change, it cannot exist without change. One evidence of this, Aristotle says, is the state of our own minds: when it ‘does not change at all or we have not noticed its changing, we do not realize that time has elapsed. Therefore, ‘time is neither movement nor independent of movement.’ (Phy., Δ, 11) 5) Time and before-after Aristotle argues that since ‘before’ and ‘after’ hold primarily in place and in magnitude, they must hold in movement as well due to their correspondence. In fact, ‘the ‘before’ and ‘after’ is identical in substratum with motion, yet differ from it in definition, and is not identical with motion.’ Thereupon, since time and movement correspond wit heach other, they must also hold in time. In fact, there is some kind of unity between motion and before-after: ‘We apprehend time only when we have marked motion, marking it by ‘before’ and ‘after’: and it is only when we have perceived ‘before’ and ‘after’ in motion that we say that time has elapsed. Now we mark them by judging that A and B are different, and that some third thing is intermediate to them. When we think of the extremes as different from the middle and the mind pronounces that the ‘nows’ are two, one before and one after, it is then that we say that there is time, and this that we say is time. For what is bounded by the ‘now’ is thought to be time.’ (Phy., Δ, 11) 6) Time: number of motion in respect of before and after ‘When we perceive the ‘now’ one, and neither as before and after in a motion nor as an identity but in relation to a ‘before’ and an ‘after.’ No item is thought to have elapsed, because there has been no motion either. On the other hand, when we perceive a ‘before’ and an ‘after,’ then we say that there is time. For time is just this- number of motion in respect of ‘before’ and ‘after.’ 7) Time, enumeration and number The consequence of the relation of time and number of motion in respect of before and after is that time is ‘movement in so far as it admits of enumeration.’ A proof of this, Aristotle says, is that ‘we discriminate the more or less by number, but more or less movement by time.’ Therefore, we can say ‘time is a kind of number.’ (Phy., Δ, 11) In this analogy, Aristotle corresponds ‘now’ to the unit of number. ‘If there were no time, there would be no now, and vice versa. Just as the moving body and its locomotion involve each other mutually, so too do the number of the moving body and the number of its locomotion. For the number of the locomotion is time, while the ‘now’ corresponds to the moving body, and is like the unit of the number.’ (Phy., Δ, 11) And this now is not the same during the movement but always different because body carried is different. (Phy., Δ, 11) Aristotle clarifies the sense of number he assigns to time: ‘Time is not number in the sense in which there is ‘number’ of the same point because it is beginning and end, but rather as the extremities of a line from a number, and not as the parts of the line do so… and further because obviously the ‘now’ is no part of time nor the section any part of the movement, any more than the points are parts of the time- for it is two lines that are parts of one line.’ (Phy., Δ, 11) Aristotle distinguishes two senses of now: i) now in the sense of a boundary and ii) now in the sense of number. It is only the second sense of ‘now’ that is time because it is only the second sense that belongs to other things. The first sense belongs only to that which it bounds. (Phy., Δ, 11) 8) Time and measure ‘Not only do we measure the movement by the time, but also the time by the movement because they define each other. The time marks the movement, since it is the number, and the movement the time. We describe the time as much or little, measuring it by the movement, just as we know the number by what is numbered, e.g. the number of the horses by one horse as the unit. (Phy., Δ, 11) Therefore, ‘time is a measure of motion and of being moved, and it measures the motion by determining a motion which will measure exactly the whole motion, as the cubit does the length by determining an amount which will measure out the whole. (Phy., Δ, 12) . (shrink)

This paper reconstructs the relationship between the now, motion, and number in Aristotle to clarify the nature of the now, and, thereby, the relationship between motion and time. Although it is clear that for Aristotle motion, and, more generally, change, are prior to time, the nature of this priority is not clear. But if time is the number of motion, then the priority of motion can be grasped by examining his theory of number. This paper (...) aims to show that, just as numbers are generated by the soul, time is not presupposed by motion, but emerges through the soul’s articulation of motion. Time is co-constituted by the soul and motion. The now is the key to understanding both the contribution of motion and soul to the being of time. The now is part of the soul’s articulation of motion, and sets the stage for an act that distinguishes a unit from its underlying motion. The now, then, sets up an abstraction by which the soul generates the temporal number from motion. Reconstructing this account of abstraction allows us to formulate more strongly Aristotle’s claim to the ontological dependence of time on motion. The paper then gives a systematic overview of the relationships between the now and number in order to address the question of whether the now might be extended. It closes with an examination of the possibility that motion depends on time, and how universal time is possible. (shrink)

In this essay, I offer a critical analysis of one of the most provocative aspects of Heidegger’s unfinished confrontation with Aristotle’s thinking. Over the course of his lifelong engagement with Aristotle’s texts, Heidegger rarely failed to notice the constitutive ambiguity of the ancient Greek philosopher’s position within the history of being. On the one hand, Aristotle appeared to be the founder of the Western metaphysical tradition of ontotheology, whereby God was understood as the supreme principle and being (...) of all beings. But on the other hand, there were traces or echoes of a more originary thinking in Aristotle’s texts that, according to Heidegger, could be developed for the sake of another beginning. In this essay, I draw on this constitutive ambiguity by focusing on Heidegger’s partial translation of Metaphysics Λ 6, where Aristotle most explicitly discusses the being (οὐσία) of the unmoved being. Using Heidegger’s translation as an aid, I argue that Aristotle’s account of the unmoved being in Metaphysics Λ 6 is perhaps best understood as of- fering an enigmatic description of the origin of movement and time as an act of pure temporalizing (reine Zeitigung), which is how Heidegger translates the notion of ἐνέργεια. In the conclusion of this essay, I suggest that the temporal account of being and time as pure temporalizing offers a possible way to reappropriate Aristotle’s thinking in a phenomenological context. (shrink)

This study of Greek time before Aristotle’s philosophy starts with a commentary on his first text, the Protrepticus. We shall see two distinct forms of time emerge: one initiatory, circular and Platonic in inspiration, the other its diametrical opposite, advanced by Aristotle. We shall explore this dichotomy through a return to poetic conceptions. The Tragedians will give us an initial outline of the notion of time in the Greek world (Fate); we shall then turn to (...) Homer in order to better grasp the complex relations between time and the religious sphere (the Hero); the work of the great theologian Hesiod will confirm this initiatory vision, later set out in remarkable fashion by Nietzsche (Myths); we shall then dive deep into Pythagoreanism to complete our account (Mysteries). Having understood this current of thought, powerfully influenced by the Iranian theogony, we shall be able to discern its clear differences from the so-called “Ionian” current, and thus to move away from Plato (Ideology). Lastly, we shall return to the early Ionian thinkers Thales and Anaximander to analyse whether this really was the vision of the world that Aristotle adopted in developing the first model of time (Science). In the second volume we shall see the return of the thought of the theologoi within the Aristotelian corpus itself, and will question our distinction between the being and existence of time. Régis Laurent is a philosopher and member of the association Kairos Kai logos (Centre for the study of ancient philosophy). This book is the first part of his doctoral thesis in philosophy, undertaken under the aegis of three French universities (Grenoble, Clermont-Ferrand and Rennes). In addition to his philosophical training, the author is also qualified to Masters level in linguistics and in general psychology, and studied theology at the Thomist University in Paris (ULSH) and at the CEJ of the EHESS. (shrink)

In Physics 4.11, Aristotle discusses a sophistical puzzle in which "being Coriscus-in-the-Lyceum is different from being Coriscus-in-the-market-place." I take this puzzle to threaten the persistence of changing entities. Aristotle's answer to the puzzle is that the changing thing "is the same in respect of that, by (means of) being which at any time it is (what it is), S but in definition it is different." That is, Coriscus may be described as either a persisting substrate or as (...) one or more accidental unities. Described as the former, Coriscus persists, but described as the latter, he does not. (shrink)

Aristotle’s points about memory are as follows: 1. ‘Memory even of intellectual objects involves an image and the image is an affection of the common senses. Thus memory belongs incidentally to the faculty of thought, and essentially it belongs to the primary faculty of sense-perception.’ (OM., 450a^10-13) 2. The fact that animals have memory proves that it is a function of sense perception and not thought: ‘If memory were a function of the thinking parts, it would not have been (...) an attribute of many of the other animals.’ (OM., 450a^14-17) Memory ‘is a function of the primary faculty of sense-perception, i.e. of that faculty whereby we perceive time.’ (OM., 451a16-17) 3. To have memory, one needs to have the faculty of perceiving time because ‘whenever one actually remembers having seen or heard or learned something, he perceives in addition … that it happened before.’ Thus, not all animals that have sense-perception can have memory. (OM., 450a17-20) 4. Memory and imagination. Memory is a function of those parts of the soul ‘to which imagination also appertains.’ Thus, ‘all objects of which there is imagination are in themselves objects of memory, while those which do not exist without imagination are objects of memory incidentally.’ (OM., 450a21-25) 5. Memory is of what is in soul, not its reference. ‘Granted that there is in us something like an impression or picture, why should the perception of this be memory of something else, and not of this itself? For when one actually remembers, this impression is what he contemplates, and this is what he perceives. How then will he remember what is not present? (OM., 450b11-) 6. Memory ‘is the having of an image, related as likeness to that of which it is an image.’ (OM., 451a15-16) 7. ‘It is only at the instant when the state or affection is implanted in the soul that memory exists, and therefore memory is not itself implanted concurrently with the implantation of the sensory experience.’ (OM., 451a^21-24) 8. ‘Remembering is the existence of a movement capable of stimulating the mind to the desired movement, and this, as has been said, in such a way that the person should be moved from within himself, i.e. in consequence of movements wholly contained within himself.’ (OM., 452a8-12) 9. ‘When the movement corresponding to the object and that corresponding to its time occur, then one actually remembers. … If, however, the movement corresponding to the object takes place without that corresponding to the time, or, if the latter takes place without the former, one does not remember.’ (OM., 452b23-30) . (shrink)

Philosophers of different cultural traditions have written extensively on the nature of the human being. In the ancient times, Aristotle contended that human beings are not naturally good but are led to be good in the society through education. He also expounded a doctrine of the golden mean, a kind of middle-way philosophy, as a theory on how human beings learn to be good, achieve happiness and live the good life. In the modern times, Hobbes, Locke and Rousseau also (...) provided some political reflections on these topics. Other cultures apart from the West have developed explanations on the nature of human beings. For instance, Confucianism in the East talks about the nature of human beings in their natural conditions and prescribes a middle-way doctrine for the ultimate happiness of human beings in the society. This paper takes a comparative approach to understand the areas of convergence and divergence in the thoughts of Aristotle, Confucius and Rousseau on the middle-way philosophy and the natural goodness of man. This is necessary in order to know the points at which various cultures and philosophical traditions or thought systems in the world can connect and overlap or differ on certain philosophical matters. -/- . (shrink)

The relationship between nature and normativity in Aristotle’s practical philosophy is problematic. On the one hand, Aristotle insists that ethical virtue arises through the habitual repetition of ethically good actions, and thus no one is good or virtuous by nature. Phusikê aretê or “natural virtue” is more like cleverness (demotes) than prudence (phronêsis) and it can result in wrong actions. Yet on the other hand, at times Aristotle appears to use nature to justify normative claims. Thus the (...) problem with Aristotle’s use of the notion of nature in his practical philosophy is that in some instances what is natural seems to be ethically neutral, but in other instances it seems to set the standard for human perfection. Modern Aristotle exegetes have sometimes argued that Aristotle must, consciously or not, be using the term “nature” in at least two different senses here. To use the language of Julia Annas, when Aristotle talks about “natural virtue” in the sense of the talents or abilities which one possesses from birth, he has in mind the notion of “mere nature,” but when he discusses the perfections which a virtuous individual enjoys by his or her nature, Aristotle has in mind the notion of nature as an “ethical ideal.” I would like to suggest an alternative solution to the problem of reconciling Aristotle’s different senses of nature in his Ethics. In Nicomachean Ethics V.7, Aristotle claims that political justice {to dikaion politikon) possesses a “natural” {phusikon) part and a “conventional” {nomikori) part. Aristotle claims that both nature and convention admit of variation, and his language suggests that the two are ultimately parts which need to be interwoven or combined. Scholars who have struggled with Aristotle’s apparently disparate senses of the idea of nature have assumed that nature is an ethical ideal which can be separated from and serve as a guide for that which is merely conventional. I argue that when Aristotle invokes what is “natural” as a norm, he does so under the assumption that the natural component of a norm is ultimately separable from its conventional part only in abstraction. Just like the syllable “BA” is not reducible to the letters “b” and “a,” but instead is a whole greater than its two parts, political justice is a composite unity of nature and convention which, in unifying the two parts, transforms them. (shrink)

Although the theory of the assertoric syllogism was Aristotle's great invention, one which dominated logical theory for the succeeding two millenia, accounts of the syllogism evolved and changed over that time. Indeed, in the twentieth century, doctrines were attributed to Aristotle which lost sight of what Aristotle intended. One of these mistaken doctrines was the very form of the syllogism: that a syllogism consists of three propositions containing three terms arranged in four figures. Yet another was (...) that a syllogism is a conditional proposition deduced from a set of axioms. There is even unclarity about what the basis of syllogistic validity consists in. Returning to Aristotle's text, and reading it in the light of commentary from late antiquity and the middle ages, we find a coherent and precise theory which shows all these claims to be based on a misunderstanding and misreading. (shrink)

Debate about the nature of time has been dominated by discussion of two issues: the reality of absolute time and the reality of A-series. We argue that Aristotle adopts a form of the A-theory entailing a denial of the reality of absolute time. Furthermore, Aristotle's denial of absolute time is linked to a denial of the reality of pure temporal becoming, namely, the idea that the now moves through a fixed continuum along which events (...) are arranged in chronological order. We show that the puzzles discussed by Aristotle in IV:10 of the Physics are generated by this view of time and that Aristotle's own theory of time, according to which changes are used to measure one another, avoids these problems. (shrink)

Aristotle defines motion as such: ‘The fulfillment of what exists potentially, in so far as it exist potentially, is motion.’ (Phy., Γ, 1, 201a10-11) He defines it again in the same chapter: ‘It is the fulfillment of what is potential when it is already fully real and operates not as itself but as movable, that is motion. What I mean by ‘as’ is this: Bronze is potentially a statue. But it is not the fulfillment of bronze as bronze which (...) is motion.’ (Phy., Γ, 1) 2) Motion: not a real thing Aristotle believes that ‘there is no such thing as motion over and above the things’ that is supposed to mean that motion cannot be something else than his categories: ‘It is always with respect to substance or to quality or to quantity or to place that what changes changes. But it is impossible to find anything common to these which is neither ‘this’ not quantum nor quale nor any of the other predicates. Hence neither will motion and change have reference to something over and above the things mentioned, for there is nothing over and above them.’ (Phy., Γ, 1, 200b32-201a3) In fact, it is what is moved that is a reality for Aristotle and not the motion itself: ‘Motion is known because of that which is moved, locomotion because of that which is carried. What is carried is a real thing, the movement is not.’ (Phy., Δ, 11) 3) Three items in each motion Aristotle distinguishes three items in each motion (Phy., E, 4): a) ‘That which’ moves; (Note: It is this item that makes a motion a unitary motion. (Phy., Δ, 11)) e.g. a man or gold b) ‘That in which’ the movement occurs; e.g. a place or an affection c) ‘That during which’ the movement takes place; e.g. time Based on the second item, Aristotle distinguishes three kinds of motion: quantitative, qualitative and local which are in respect of the three categories of quantity, quality and place. (Phy., E, 1) However, Aristotle speaks of four things in respect of which change takes place adding substance to the three mentioned categories. (Phy., Γ, 1, 200b32-35) It seems it is based on the differentiation of that in which motion takes place in these four types that Aristotle distinguishes four kinds of motion. (Phy., Γ, 1, 201a11-15): a) Alteration: the motion of what is alterable qua alterable b) Increase and decrease: the motion of what can be increased and what can be decreased c) Coming to be and passing away: the motion of what come to be and pass away d) Locomotion: the motion of what can be carried away Alteration happens in qualities, increase and decrease in quantities, coming to be and passing away in substances and locomotion in place. 4) Problem of motion as an element Discussing why Pythagoreans put motion in their column of indefinites, Aristotle somehow hints to the problem of understanding motion due to its non-elemental character: ‘The reason why they put motion into these genera is that it is thought to be something indefinite and the principles in the second column are indefinite because they are privative: none of them is either ‘this’ or ‘such’ or comes under any of the other modes of predication. The reason in turn why motion is thought to be indefinite is that it cannot be classed simply as a potentiality or as an actuality- a thing that is merely capable of having a certain size is not undergoing change, nor yet a thing that is actually of a certain size, and motion is thought to be a sort of actuality, but incomplete. The reason for this view being that the potential whose actuality it is is incomplete. This is why it is hard to grasp what motion is. It is necessary to class it with privation or with potentiality or with sheer actuality, yet none of these seems possible. There remains then the suggested mode of definition, namely that it is a sort of actuality, or actuality of the kind described, hard to grasp, but not incapable of existing.’ (Phy., Γ, 2, 201b24-) It becomes a real difficulty when it is asked whether the motion is in the mover or in the movable: ‘The solution of the difficulty that is raised about the motion-whether it is in the movable- is plain. It is the fulfillment of this potentiality, and by the action of that which has the power of causing motion; and the actuality of that which has the power of causing motion is not other than the actuality of the movable, for it must be the fulfillment of both. A thing is capable of causing motion because it can do this, it is a mover because it actually does it. But it is on the movable that it is capable of acting. Hence there is a single actuality of both alike, just as one to two and two to one are the same interval, and the steep ascent and the steep descent are one- for these are one and the same, although they can be described in different ways. So it is with the mover and the moved.’ (Phy., Γ, 3) This is not, however, the solution: ‘This view has a dialectical difficulty. Perhaps it is necessary that the actuality of the agent and that of the patient should not be the same. The one is ‘agency’ and the other ‘patiency’; and the outcome and the completion of the one is an ‘action’, that of the other a ‘passion.’ Since then they are both motions, we may ask: in what are they, if they are different? Either (a) both are in what is acted on and moved, or (b) the agency is in the agent and the patiency in the patient. … Now in alternative (b), the motion will be in the mover, for the same statement will hold of ‘mover’ and ‘moved.’ Hence either every mover will be moved, or, through having motion, it will not be moved. If on the other hand (a) both are in what is moved and acted on- both the agency and the patiency (e.g. both teaching and learning, though they are two, in the learner), then, first, the actuality of each will not be present in each, and, a second absurdity, a thing will have two motions at the same time. How will there be two alterations of quality in one subject towards one definite quality? The thing is impossible: the actualization will be one.’ (Phy., Γ, 3) This leads Aristotle to another problem, the problem of one identical actualization for two different things: ‘But (someone will say) it is contrary to reason to suppose that there should be one identical actualization of two things which are different in kind. Yet there will be, if teaching and learning are the same, and agency and patiency. To teach will be the same as to learn, and to act the same as to be acted on- the teacher will necessarily be learning everything that he teaches, and the agent will be acted on. One may reply: (1) It is not absurd that the actualization of one thing should be in another. Teaching is the activity of a person who can teach, yet the operation is performed on some patient- it is not cut adrift from a subject, but is of A on B. (2) There is nothing to prevent two things having one and the same actualization, provided the actualizations are not described in the same way, but are related as what can act on what is acting. (3) Nor is it necessary that the teacher should learn, even if to act and to be acted on are one and the same, provided they are not the same in definition (as ‘raiment’ and ‘dress’), but are the same merely in the sense in which the road from Athens to Thebes are the same, as has been explained above.’ (Phy., Γ, 3) And he continues: ‘For it is not things which are in a way the same that have all their attributes the same, but only such as have the same definition. But indeed it by no means follows from the fact that teaching is the same as learning, that to learn is the same as to teach, any more than it follows from the fact there is one distance between two things which are at a distance from each other, that the two vectors AB and BA, are one and the same. To generalize, teaching is not the same as learning, or agency and patiency, in the full sense, though they belong to the same subject, the motion; for the ‘actualization’ of X in Y’ and the ‘actualization of Y through the actualization of X’ differ in definition.’ (Phy., Γ, 3) . (shrink)

Aristotle argues that time depends on soul to count it, but adds that motion, which makes time what it is, may be independent of soul. The claim that time depends on soul or mind implies that there is at least one measurable property of natural beings that exists because of the mind’s activity. This paper argues that for Aristotle time depends partly on soul, but more importantly on motion, which defines a continuum. This argument (...) offers a robust metaphysics of time. In contrast to modern philosophy of physics, for Aristotle the continuum of motion is prior in being to time, while time is a hybrid of the real continuum of motion and the activity of mind. (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)

For Aristotle, a verb (ῥῆμα) is that which a) besides a proper meaning b) carry with it the notion of time; c) its parts do not significate separately and d) is a sign of something said of something else (OI ., 2, 16b6-8). This comprehensive definition distinguishes verbs from both nouns (since they do not carry the notion of time with themselves) and sentences or co-positings of words (since they have parts with independent meanings). Based on this (...) definition, a verb signifies three things: i) A main or proper meaning which is the meaning of the verb, e.g. running or sleeping; ii) time and iii) co-positing (or positing away). Although it is not asserted that one part is responsible for prossignification of time, its responsibility is given to co-positing-is. This might seem to be in contradiction with (c). However, it seems that (c) cannot include prossignifications of time and co-positing. What Aristotle means in (c) is just that parts of a verb cannot separately signify a meaning. Therefore, it is better to distinguish between signification, which is about meaning and prossignification, which is generally about anything but meaning. Hence, while the parts of the verb cannot have separate signification, they can have separate prossignification. Aristotle distinguishes between different kinds of verbs: 1) Definite verbs: those verbs that have definite nouns as their verb-name. 2) Indefinite verbs: those verbs that do not have definite nouns as their verb-name (OI., I, 3, 16b12-14; 10, 19b10-11). Aristotle’s examples of an indefinite verb are ‘is not-healthy’ and ‘is not-ill’. 3) Tenses of verbs: ‘was healthy’ and ‘will be healthy’ are tenses of the verb ‘is healthy’ because a verb indicates only the present time (OI., I, 3, 16b16-18). For Aristotle, almost all verbs either are composed of or can be analyzed to parts. An example of the former is ‘is healthy’ and of the latter is ‘runs,’ which can be analyzed to two parts: ‘is running.’ (OI., I, 10, 20a3-5; II, 12, 21b5-8). Thus, for him a verb either includes or can be analyzed to two parts: a part that includes the meaning and is, or is shown, by a name we call ‘verb-name’ (a), and a part that includes the co-positing of that meaning with the subject of the verb, which is or is shown by ‘is’, which we call ‘co-positing-is’ (d). The verb ‘runs’, for example, can be analyzed to a verb-name, ‘running’ and a co-positing-is (Note: Aristotle distinguishes between the verb ‘is’ in the sense of ‘exists’ and the co-positing ‘is’. Whereas in the former ‘is’ is a verb, having a signification of its own, which is ‘existing’, besides signifying time (OI., I, 10, 19b12-19), the ‘is’ in the latter is not a verb (Aristotle calls it ‘incidental’ is (OI., II, 11, 21a25-28) and is not sure whether to call it a verb or a noun (OI., I, 10, 19b22-24)) because it does not signify existing and, thus, need something else to be added. This something else is the meaning we are discussing. Therefore, it is only after the addition of the meaning to this ‘is’ that we have a verb. This is, I believe, the sense of the so much controversial text of OI, I, 3, 16b22-25: ‘For being and not being signify the existence of a thing not τὸ ὄν εἴπῃς αὐτὸ καθ᾿ ἑαυτὸ ψιλόν. For it does not indicate anything but prossignifies some co-positing (σύνθεσίν). Aristotle’s words at 16b24 about co-positing-is that it ‘prossignifies some co-positing’ (προσσημαίνει δὲ σύνθεσίν τινα) is an explicit evidence that she cannot be right.) and is not a concept apart from the things co-posited (συγκειμένων).’ This text, however, is so controversial. Originating from Ammonius and Boethius after him, who used the verb ‘copular’ for ‘est’ and Abelard, some commentators like Weidemann, Oehler, Francisco Ademollo take ‘is’ as having a copulative function. Allen Bāck notes that Aristotle does not separate off ‘is’ from other verbs as a mere copula but takes it ‘as the basic, paradigmatic form of the verb.’ He believes that in his interpretation of Aristotle (in: OI., 55, 19-24) Ammonius also took it as the paradigm for all verbs. Francisco Ademollo criticizes the standard view of taking ‘is’ as copula here and is inclined to take it as essential. David Ross thinks that although Aristotle is aware of the distinction between the existential and the copulative is, he has as yet no very clear idea of their relation. Although Jonathan Barnes agrees that the copula is surely present in de Interpretation, he thinks that at 16b22-25 Aristotle ought to be talking of existential εἶναι. Marie De Rijk Lambartus believes that there is no copula in Aristotle’s philosophical analysis of the elementary sentences and it is a mere corpus alienum in Aristotle’s semantics. Allan Bȃck believes that the copulative theory is not Aristotle’s and ‘may have come to dominate as a result of the neoPlatonizing interpretations of Aristotle’s works by Proclus, Ammonius and Boethius, which is the sign of the relation of running with a subject, e.g. Socrates in ‘Socrates runs’. Nonetheless, none of these parts significate separately. This is supposed to mean that a verb is a single signification. However, it is evident that each of the parts can signify if we use them in a different context as both of ‘running’ and ‘is’ in ‘runs’ or both of ‘is’ and ‘healthy’ in ‘is healthy’ can do. It might seem now that the first mentioned definition of verb might be contradictory. While Aristotle asserts that the parts of verb do not signify separately (d), he considers two other significations for a verb: the signification of time and relation. As it is obvious, both of these significations are done by one part of the verb, that is the co-positing-is. Therefore, in a verb e.g. ‘is healthy’ we have three significations: the significations of meaning, time and co-positing. Aristotle uses prossignification both for time (προσσημαῖνον χρόνον, OI., 2, 16b4) and co-positing (προσσημαίνει δἑ σύνθεσὶν τινα, OI, I, 3, 16b23-24). Since the copula part of a verb has no signification and does not form any conception, a verb is indeed its verb-name. Thus we see Aristotle saying that ‘verbs are in and by themselves names and signify something’ and like names, he adds, they arrest the hearer’s mind and fix his attention (OI., I, 3, 16b19-22). We can conclude then that verbs are names said of something else and carrying time. In other words, verbs are words that though have one single signification, as names have, they also have two other prossignifications: time and relation. (shrink)

Aristotle differentiates between otherness (ἑτερότης) and difference (διαφορὰ). Otherness has no definite respect: one thing is other than another thing only because they are not the same. Every two things which are not the same are other than each other. Therefore, two things other than each other do not need something in which they are other than each other. Difference, on the other hand, has a definite respect and one thing is different from another thing in some respect. Thus, (...) there must be something identical whereby two different things differ. (Met. , I, 1054b23-27) Therefore, there is no difference between anything and the things outside its genus. (Met., I, 1055a26-27) 1) Difference Aristotle takes two things as identical things in which difference occurs: genus and species. All things that differ differ either in genus or in species. (Met., I, 1054b27-28) a) Difference in genus Two things are different in genus if they ‘have not their matter in common and are not generated out of each other,’ which means that they belong to different figures of predication. (Met., I, 1054b28-29) They have no way to one another and are too far distinct and are not comparable. (Met., I, 1055a6-8) b) Difference in species Two things are different in species if they have the same genus (Met., I, 1054b29-30) but are not subordinate one to the other. (Met., Δ, 1018a38-b7) 2) Contrariety Aristotle mentions five senses. In the first sense he calls contraries ‘those attributes that differ in genus, which cannot belong at the same time to the same subject.’ (Met., Δ, 1018a25-27) Three senses emphasize on having the most difference either in the same genus, the same receptive material or the same category, all similar to genus. The fifth sense also insists on having the greatest difference but mentions species besides genus as where difference occurs. (Met., Δ, 1018a27-31) It seems that Aristotle is more inclined to the second sense as his definition in Metaphysics, I, 1055a27-29 might concede: ‘The things in the same genus which differ most are contraries; for the complete difference is the greatest difference among these,’ though he agrees with the third sense too and regards those that differ most in the same receptive material also as contraries. (Met., I, 1055a29-30) In fact, Aristotle speaks of all kinds of contraries within, without or in genera: ‘All contraries must either be in the same genus or in contrary genera or be themselves genera.’ Their corresponding examples are white and black (in the same genus), justice and injustice (in contrary genera) and good and bad (themselves genera). (Cat., 11, 14a19-25) To speak generally, as one of the four kinds of opposition, contraries are those that cannot belong at the same time to the same thing. (Met., Γ, 1011b15-18) Thus, contrariety (ἐναντιότης) is complete difference (Met., I, 1055a16-17) and contraries are the extremes of things that differ in species for which generation takes place and have the greatest distance. (Met., I, 1055a8-10; Δ, 1018a38-b7) Since contraries have the extreme difference, there cannot be more than one contrary and extreme for each thing. (Met., I, 1055a19-21) Thus, the things in the same genus which differ most are contraries. (Met., I, 1055a27-28) Aristotle says that the meaning of calling two things ‘other in species’ is that they are contrary and this being other in species he posits versus being the same in species. (Met., I, 1058a17-28) Aristotle even calls ‘the difference between things which differ in species’ a difference that belongs only to things in the same species. (Met., I, 1058a26-28) The reason is that ‘all things are divided by opposites and … contraries are in the same genus … and every difference in species is a difference from something in something … Hence also all contraries which are different in species … are … other than one another in the highest degree- for the difference is complete-, and cannot be present along with one another.’ The conclusion is that ‘The difference, then, is a contrariety.’ (Met, I, 1058a8-16) There are some characteristics for contraries in Aristotle’s philosophy: a) One thing cannot have more than one contrary for there can be neither anything more extreme than the extreme, nor more than two extremes for the one interval. (Met., I, 1055a19-21) b) The primary contrariety is the contrariety between state and complete privation. (Met., I, 1055a33-37) Aristotle regards privation both as a kind of contradiction (Met., I, 1055b3-11) and as that of which contrariety is a kind: all contrariety is a privation but not all privation is contrariety. (Met., I, 1055b11-17) In fact, every contrariety involves a privation as one of its items (Met, I, 1055b17-19 and b25-29): ‘of the contraries, no less than of the contradictories, one is a privation- and a privation of substance; and privation is the denial of a predicate to a determinate genus.’ (Met., Γ, 1011b18-20) Nonetheless, the relation between contrary, privation and contradictory seems to be even more complex:’For within a single identical genus the contrary of a given attribute is either its privative or its contradictory; e.g. within number what is not odd is even, inasmuch as within this sphere even is a necessary consequent of not-odd.’ (PsA., A, 4, 73b21-24) c) A contrary cannot be an intermediate because otherwise it would not be a perfect contrary, which must be based on definition. (Met., I, 1056a12-14) d) Contraries always accept intermediates between themselves. (Met., I, 1056a14-15 e) ‘Contraries do not involve one another in their composition, and are therefore first principles.’ (Met., I, 1057b22-23) f) ‘All the inferior classes, both the contraries and their intermediates, will be compounded out of the primary contraries.’ (Met., I, 1057b31-34) g) None of the intermediables can be predicated of either of the contraries. (Met., K, 1063b19-22) h) Contrary propositions (as defined in OI, I, 7, 17b3-6) can never both be true because they state contrary conditions which cannot subsist at one and the same time in the same subject. (OI, II, 14, 24b7-) 3) Otherness in kind Aristotle also speaks of things other in kind (ἓτερα τῷ γένει) by which he means an otherness between things ‘whose ultimate substratum is other and one cannot be analysed to the other nor both into the same thing. His example of this otherness in kind is the otherness of form and matter. (Met., Δ, 1024b9-12) 4) Network of difference and wholism Aristotle speaks of a theory based on which the knowledge of each thing depends on the knowledge of its differentiae distinguishing it from every single other thing. Therefore, to know and define one thing we need to know the whole existence. (PsA., B, 13, 97a6-11) Aristotle rejects this theory based on the fact that ‘not every differentia precludes identity’ and, thus, many differentiae inhere in things specifically identical, though not in the substance of these nor essentially.’ (PsA., B, 13, 97a11-14) 5) Knowledge and difference There must be some kind of relation between knowledge and difference in Aristotle’s saying that sight, more than other senses, makes us know and bring in light many differences between things. (Met., A, 980a24-27) . (shrink)

Aristotle’s points about taking ‘more or less’ (μᾶλλον καὶ ἧττον) are as following: 1. Substances do not admit of the more and the less. This is supposed to mean that a man is not more a man either than itself or than another man. This is not, however, the case between different substances because one substance can be more a substance than another. (Cat., 5, 3, 3b33-4a2) In Metaphysics, Aristotle tells us that substance in the sense of form (...) does not admit of the more and the less ‘but if any substance does, it is only the substance which involves matter.’ (Met., H, 1044a9-11) 2. Quantities, including numbers, do not admit of a more and a less. (Cat., 6, 6a19-25; Met., H, 1044a9-10) 3. Some qualities, but not all of them, admit the more and the less. For example, one thing can be called paler or more beautiful than another. This is not, however, true about the shape: neither things that admit nor those that do not admit the definition of a shape, e.g. triangle or circle, is called more a triangle or a circle. (Cat., 11a5-) Moreover, a thing can admit of more or less of a quantity than itself in a different time. (Cat., 5, 4a3-9) 4. Some, but not all, relatives admit of a more and a less. For example, while a thing is called more or less similar or more or less unequal to another thing, what is double is not spoken more double or less double. (Cat., 7, 6b20-27) 5. Doing and being affected admit of a more and a less. It is possible, for example, to heat more or to be heated more or less. (Cat., 9, 11b1-7) 6. Aristotle speaks of the possibility of being more false or less false. (Met., Γ) . (shrink)

In this paper I explore Aristotle’s views on natural kinds and the compatibility of pluralism and realism, a topic that has generated considerable interest among contemporary philosophers. I argue that, when it came to zoology, Aristotle denied that there is only one way of organizing the diversity of the living world into natural kinds that will yield a single, unified system of classification. Instead, living things can be grouped and regrouped into various cross-cutting kinds on the basis of (...) objective similarities and differences in ways that subserve the explanatory context. Since the explanatory aims of zoology are diverse and variegated, the kinds it recognizes must be equally diverse and variegated. At the same time, there are certain constraints on which kinds can be selected. And those constraints derive more from the causal structure of the world than from the proclivities of the classifier (hence the realism). This distinguishes Aristotle’s version of pluralistic realism from those contemporary versions (like Dupré’s “promiscuous realism”) that treat all or most classifications of a given domain as equally legitimate and not just a sub-set of kinds recognized by the science that studies it. By contrast, Aristotle privileges scientifically important kinds on the basis of their role in causal investigations. On this picture natural kinds are those kinds with the sort of causal structure that allows them to enter into scientific explanations. In the final section I argue that Aristotle’s zoology should remain of interest to philosophers and biologists alike insofar as it combines a pluralistic form of realism with a rank-free approach to classification. (shrink)

Citizenship is the right to be a citizen of a social, political, or national community. Aristotle was the philosopher who has been talking about citizenship since ancient times. His thoughts are still historical lessons for the operation of states today. In this article, the author focuses on analyzing basic thoughts on Aristotle's citizenship; which are shown in essential points such as (i) Citizenship is clearly shown in the role of the State, (ii) Right to education, (iii) The right (...) to participate in political affairs, (iv) Citizenship is associated with civic obligations. Thereby, the article draws its historical lesson for the current building of law-governed State in Vietnam in the following aspects: (i) Building a solid-state apparatus with a coherent and unified legal system; (ii) All the State's policies must originate from the Vietnamese practice, ensure the people's mastery and protect the people's legitimate interests; (iii) Consolidating and strengthening the relationship between the State and the people. (shrink)

The present text is the revised and corrected English translation of the book published in German by the Lang Verlag, Bern 2008. Unfortunately the text still has some minor flaws (especially in the Index Locorum) but they do not concern the main thesis or the arguments. It will still be the final version, especially considering my age. It is among the most widespread and the least questioned convictions that in Metaphysics Lambda Aristotle presents a theology which has its basis (...) in a metaphysics of substance. Doubts about theological interpretation are beginning to stir in a growing number of publications, but nevertheless the majority of research literature, compendiums and histories of philosophy argues within this frame. A closer look at the facts reveals that this conviction has no basis in the text. Quite the contrary it is based on a reception with theological interests. It arised over centuries, starting from Patristic times and the Middle Ages; it was influenced by Neoplatonic texts as the Liber de Causis or the Theologia Aristotelis, texts for a long time considered as original Aristotelian books. And, if you read not translations but the Greek text, you see that the word 'god' occurs much less than in a theological book should be. In some translations we find more occurences of that word, and especially in French, Italian, English translations some words as le Bien, l'Intelligence etc. are written with capitals to inticate that it is about god. To make it even more clear, we read often the term 'First Mover' or 'Unmoved Mover' as an other name for god, but this expression is never used by Aristotle. So the reader has the impression that Aristotle speaks continuously about god. In addition, in the present book you will find arguments which clean up with the outdated concept of substance in the Aristotelian text, a concept which was developed for quite other problems than Aristotle had, namely theolgical ones. And, if there is no substance, there is no corresponding metaphysics of substance and no theology or onto-theology. If substance, metyphysics, theology play no role in Metaphysics Lambda, what else is its content and aim? That is not so difficult to say because Aristotle says it sufficiently clear in his first sentence, περὶ οὐσίας ἡ θεωρία: our inquiry is about being; its aim is to develop the Frage nach dem Sein and to state a speculative answer: being is noesis, Sein ist Gewahren. (shrink)

It has become somewhat of a platitude to call Aristotle the first epigenesist insofar as he thought form and structure emerged gradually from an unorganized, amorphous embryo. But modern biology now recognizes two senses of “epigenesis”. The first is this more familiar idea about the gradual emergence of form and structure, which is traditionally opposed to the idea of preformationism. But modern biologists also use “epigenesis” to emphasize the context-dependency of the process itself. Used in this sense development is (...) not simply the unfolding of a pre-determined sequence of changes specified in advance by the organism’s genotype. It is also sensitive to inputs from the internal and external environment, which help determine in real-time which of the many potential developmental pathways are actualized during the process. Within this paradigm developing embryos are viewed as dynamic and responsive systems that react to inputs from the internal and external environment ‘on the fly’. In this paper I argue that, while Aristotle was an epigenesist in the first sense, he would have rejected epigenesis in the more modern sense. First, Aristotle’s model of choice for a developing embryo is the automaton that executes a set of preset movements (GA 734b9-13, 741b7-15). The automatons he has in mind are not dynamic AI systems capable of modifying their behaviour on the fly in response to environmental cues but completely deterministic mechanisms whose movements are fixed by their original design. Second, given Aristotle’s views about the different kinds of causal powers there are, it looks like only intentional agents endowed with actual decision-making powers could be capable of the sort of plasticity at the core of a more dynamic epigenesis. For that kind of epigenesis requires powers for alternative outcomes, and Aristotle is explicit that such powers require rational desires (προαίρεσις) that control which of those alternatives to bring about. If I am right, then he could not have made sense of the idea of a developing embryo (as a non-intentional system) making adjustments to its phenotype on the fly in response to emerging problems and opportunities, given the conceptual resources available to him. (shrink)

Starting with Aristotle and moving on to Darwin, Marco Solinas outlines the basic steps from the birth, establishment and later rebirth of the traditional view of living beings, and its overturning by evolutionary revolution. The classic framework devised by Aristotle was still dominant in the 17th Century world of Galileo, Harvey and Ray, and remained hegemonic until the time of Lamarck and Cuvier in the 19th Century. Darwin's breakthrough thus takes on the dimensions of an abandonment of (...) the traditional finalistic theory. It was a transition exemplified in the morphological analysis of useless parts, such as the sightless eyes of moles, already discussed by Aristotle, which Darwin used as a crowbar to unhinge the systematic recourse to final causes. With many excerpts, a chronological sequence and an analytical approach, this book follows the course of the two conceptions that have shaped the destiny of life sciences in western culture. (shrink)

Discussion of the Aristotelian syllogistic over the last sixty years has arguably centered on the question whether syllogisms are inferences or implications. But the significance of this debate at times has been taken to concern whether the syllogistic is a logic or a theory, and how it ought to be represented by modern systems. Largely missing from this discussion has been a study of the few passages in the Prior Analytics where Aristotle provides explicit guidance on how to individuate (...) syllogisms. I argue that syllogisms are individuated by unordered premise pairs and so may be fruitfully thought of as multi-succedent sequents. I conclude by drawing a few consequences for the representation of the syllogistic. (shrink)

Time was perceived by ancient philosophy as a cosmological enigma. The search for truth beyond time determined Greek thought. A true definition, says Aristotle (384-322 BC), expresses “the what-it-is-to-be” (τὸ τί ἦν εἶναι) of a thing, it is an account of the essence, and essence is identity. The principle of non-contradiction was considered by Aristotle as the first principle of the inquiry into Being. As such, it cannot be demonstrated, since this would lead to an infinite (...) regress. Instead, the noncontradiction principle is the first axiom of ontology. But time seems to question this tautology. Aristotle discusses time in the Physics. He begins with the questions about time’s existence which stem from his contemporaries’ conceptions. (shrink)

In this paper I investigate central temporal and spatial notions in the second part of Plato’s Parmenides and argue that also these notions, and not only the metaphysical ones usually discussed in the literature, can be understood as a response to positions and problems put on the table by Parmenides and Zeno. Of the spatial notions examined in the dialogue, I look at the problems raised for possessing location and shape, while with respect to temporal notions, I focus on the (...) discussion of ‘being in time’ and exaiphnês (the latter notion will be shown to be also an important influence for Aristotle’s Physics). In displaying a paradoxical character and taking up crucial notions from Parmenides, the second part of the Parmenides seems to display some resemblance to Zeno’s paradoxes. I will show, however, that in contrast to Zeno, the second part of Plato’s Parmenides also demonstrates Parmenides’ One to be problematic on its own terms. Furthermore, the dialogue presents not only important problems that these spatial and temporal notions seem to lead us into, but also establishes some positive features necessary to think of time and space. In this way, Plato’s Parmenides can be seen as contributing to the development of temporal and spatial conceptualisations in ancient Greek thought. (shrink)

A study timeshowing that the relation of time and timeless in greek philosophers was more nuanced and complex than is commonly thought.

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)

Arguably the foundational text of Western political theory, Aristotle's Politics has become one of the most widely and carefully studied works in ethical and political philosophy. This volume of essays offers fresh interpretations of Aristotle's key work and opens new paths for students and scholars to explore. The contributors embrace a variety of methodological approaches that range across the disciplines of classics, political science, philosophy, and ancient history. Their essays illuminate perennial questions such as the relationship between individual (...) and community, the nature of democratic deliberation, and how to improve political institutions. Offering groundbreaking studies that both set Aristotle within the context of his own time and draw on contemporary discussion of his writings, this collection will provide researchers with an understanding of many of the major scholarly debates surrounding this key text. (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)

From the rather original recognition that Aristotle’s categories are questions, this essay focuses on issues of the pote (ποτέ), i.e., the question of the “When”, and of chronos (χρόνος), the “concept” of time. This “concept” is born from and associated with the question of the “When”. It is a hermeneutical and (existential)-ontological dialogue, enabling us to think jointly about the so-called “objectivity” of time and its ontological, phenomenological, and hermeneutical relatedness to ourselves. The APPENDIX is an ontological (...) and existential analysis of the question: “What is man?”. It’s conclusion: that this question cannot, and indeed must not be given a definition-like answer, filled with information and facts. The “response” – and not “answer” – cor-responding to, can only be authentic and open if it claims that: Man is precisely that being who turns his own existence – in a questioning way, both for himself and “other” people, interrogating himself via his own world – into an event. The human and mode-of-being-like questions about the meaning of Being and about the possibility of “What is man?” actually overlap both in their horizons and in their amplitude and radicality. (shrink)

There are four ways in which things are said to oppose (ἀντικεῖσθαι) each other: as relatives (τὰ πρός τι), as contraries (τὰ ἐναντία), as privation and possession (στρέσις καὶ ἓξις) and as affirmation and negation (κατάφασις καὶ ἀπόφασις). (Cat. , 10, 11b15-23) Aristotle’s examples are: double and half for relatives, good and bad for contraries, blindness and sight for privation and possession and ‘He is sitting’ and ‘he is not sitting’ for affirmation and negation. We discussed relatives separately thus (...) we ignore it here. A. Contraries Contraries (ἐναντία) have the following features: 1) They are not said of each other (οὐδαμῶς πρὸς ἄλληλα λέγεται) as relatives are said of each other. (Cat., 10, 11b15-23) 2) Contraries are of two kinds: a) Non-intermediables: Those that it is necessary for one or the other of them to belong to the things they naturally occur in or predicated of and accept no intermediate between themselves. Since it is necessary for one of e.g. health and sickness to occur in an animal’s body or odd and even to belong to a number, there is no intermediate between health and sickness or odd and even. (Cat., 10, 11b38-12a9; 12b28-34) b) Intermediables: Those that it is not necessary for one of them to belong to the things they naturally occur in or predicated of and accept intermediates between themselves. It is not necessary for one of e.g. black and white to belong to a body and there may be some intermediates between them. (Cat., 10, 12a9-25; 12b34-40) 3) Contraries can change to one another when the thing capable of receiving them is there. (Cat., 13a18-21) The only exception is when one of the contraries belongs to something by nature. In such cases, change is not possible as the hotness of fire cannot change to coldness while fire is still there. 4) Contraries belong to the same thing, either the same in species or in genus as e.g. sickness and health in an animal’s body or whiteness and blackness in body simply. (Cat., 10, 14a15- ) In Metaphysics (I, 1058a8-10) Aristotle asserts that contraries are in the same genus. 5) There are three possibilities about the genera of contraries: they either are in the same genus, e.g. black and white, or in the contrary genera, e.g. justice and injustice, or are themselves genera, e.g. good and bad. (Cat., 11, 14a19-25) 6) Doing and being affected admit of contrariety, e.g. heating is contrary to cooling. (Cat., 9, 11b1-4) 7) Substances only are able to receive contraries. (Cat., 5, 4a10-17) 8) There is nothing contrary to a substance, whether primary or secondary. (Cat., 5, 3b24-27) Thus, neither man nor an individual man has a contrary. 9) There is no contrary to a quantity: e.g. four-foot ot ten has no contrary. (Cat., 5, 3b27-32) 10) Otherness in species means to be contraries. (Met., I, 1058a17-20) 11) Contrariety is complete difference. Two things that have the same genus but are different in species are other than one another in the highest degree and their difference is complete, i.e. they cannot be present along with one another. (Met., I, 1058a10-16) 12) One of the contraries is a privation, which is a denial of a predicate to a determinate genus. (Met., Γ, 1011b18-20) 13) ‘Neither true judgments nor true propositions can be contrary the one to the other.’ (OI., II, 14, 24b6-7) B. Privation and possession Privation and possession are said in connection with the same thing in which the possession naturally occurs. Only that thing which is capable of receiving a possession and only when it is entirely absent from that which naturally has it and only at the time when it is natural for it to have it, is called to be deprived of it. (Cat., 10, 12a26-30) A thing is not called e.g. blind if it has never had or was not supposed to have sight. That privation and possession are not relatives is obvious from the fact that none is called just what it is, of its opposite. (Cat., 10, 12b16-21) Moreover, while relatives reciprocate, they do not. (Cat., 10, 12b21-25) That they are not contraries is explained by the classification of contraries to intermediable and non-intermediable contraries. The latter are different from privation and possession because it is necessary for one of such contraries to be predicated of absolutely everything while it is not the case about privation and possession because they are necessary only in things naturally capable of their predication. Intermediable contraries are different from privation and possession because while the former are not necessary the latter are necessary in their subject matters. (Cat., 13a3-17) Unlike contraries for each of which it is possible to change to the other, change in privation and possession is allowed only from possession to privation and not vice versa: neither a blind man gets sight nor a bald man regain his hair. (Cat., 13a18-36) C. Affirmation and negation Aristotle regards the reception of truth and falsity as the main difference affirmation and negation opposition has in respect of other three kinds of opposition: it is only affirmation and negation that it is always necessary for one of them to be true and the other to be false (Cat., 13a37-b26), no matter the subject of affirmation or negation exists or not. (Cat., 10, 13b27-35) ‘It is impossible that contradictory propositions should both be true of the same subject.’ (OI., II, 12, 21b17-18) It is evident both about relatives and those contraries that include no co-positing, e.g. health and sickness. The only cases that resemble affirmation and negation are those contraries that are said with co-positing, e.g. ‘Socrates is well’ and ‘Socrates is sick.’ Yet, Aristotle points, not even with these is it necessary always for one to be true and the other false because if Socrates does not exist, neither will be true. (Cat., 10, 13b12-19) This is true also about privation and possession: neither ‘Socrates has sight’ nor ‘Socrates is blind’ are true if he does not exist. Moreover, it is not necessary for one or the other of them to be true or false even if he exists because until the time when it is natural for Socrates to have sight, both are false. (Cat., 10, 13b20-26) . (shrink)

Of Aristotle’s core terms, potency (dunamis) and actuality (energeia) are among the most important. But when we attempt to understand what they mean, we face the following problem: their primary meaning is movement, as a source (dunamis) or as movement itself (energeia). We therefore have to understand movement in order to understand them. But the structure of movement is itself articulated using these terms: it is the activity of a potential being, as potent. This paper examines this hermeneutic circle, (...) and works out a strategy for reading Aristotle based on his conception of our epistemological predicament. This hermeneutic approach helps us gain access to the phenomena of movement and its sources (potency, and energeia). The paper closes with a review of the conceptual resources we deploy to think about movement: homogeneity, space and time, impulse, relativity, the blend of sameness and difference, and being and non-being. Showing that Aristotle uses none of these clears the landscape for a fresh inquiry into his account of movement. (shrink)

Through reference to Karl Löwith's reading of time in Hegel as fundamentally inspired by the temporality of Aristotle, the paper shows how the absolute "now" is thoroughly informed by historical time. Hegel's preferred tense is that of the Perfekt, the present perfect, where the present "now" is always also what it has been. Hegel thus reconciles Greek and Christian forms of temporality, the distinction that Löwith reads as unreconciled and tragic in Hegel's "young" followers: Feuerbach, Stirner, Bauer, (...) Marx and Nietzsche. Nonetheless, the Left Hegelian heritage is right in comprehending Hegelian time as fundamentally past-oriented. Their own stunted philosophical endeavors are aimed at the future. (shrink)

Time is one of humankind’s unanswerable mysteries. Aristotle called time “the most unknown of unknown things.” What time is and even if it objectively exists are unanswerable questions. Time is intangible. -/- There have been and will be countless theories about time. Many, including in science, are simply useful definitions or conventions, and each is looking at time in a particular way and for a particular purpose. This paper looks at a variety of (...) significant perspectives from physics, philosophy and psychology. A key is to demonstrate that there are many different incomplete and subjective ways of looking at what ultimately is beyond our mental grasp. (shrink)

Sometimes, in the Nicomachean Ethics (NE), Aristotle describes virtuous actions as the sorts of actions that are ends; it is important for Aristotle to do so if he wants to maintain, as he seems to at least until NE 10.7-8, that virtuous actions are a constituent of eudaimonia. At other times, he claims that virtuous actions are the sorts of actions that are for the sake of ends beyond themselves; after all, no one would choose to go into (...) battle or give away a significant portion of their wealth if it did not realize some good end. In this paper, I review the familiar problem raised by Aristotle's discussion of the nature of virtuous actions, propose a solution to this problem by appealing to a distinction between virtuous actions and 'acting virtuously', and sketch the significance of this solution for understanding the relationship between virtue and human happiness. (shrink)

This thesis provides a new analysis of early contributions to the development of the theory of absolute time—the notion that time exists independently of the presence or actions of material bodies and has no material cause. Though popularly attributed to Newton, I argue that this conception of time first appeared in medieval philosophy, as a solution to a peculiar theological problem generated by a widespread misrepresentation of Aristotle. I trace the subsequent evolution of the theory of (...) absolute time through to the seventeenth-century, and argue that Newton, if anything, retreats from a full endorsement of the doctrine. (shrink)

The differences between the theories of hearing held by Aristotle and by Alexander of Aphrodisias are explored. Alexander appears to have a more systematic approach which avoids the dilemma faced by Aristotle in deciding whether the hearing process constitutes a time-taking kinesis or an instantaneous energeia.

In this paper I investigate Aristotle’s account of predication in Topics I 9. I argue for the following interpretation. In this chapter Aristotle (i) presents two systems of predication cutting across each other, the system of the so-called four ‘predicables’ and of the ten ‘categories’, in order to distinguish them and explore their mutual relationship. I propose a semantic interpretation of the relationship between them. According to this reading, every proposition formed through a predicable constitutes at the same (...) time a predication according to one of the ten categories, and, consequently, signifies one of them, expressing one of the predicative relationship conveyed by them. Further, Aristotle (ii) explains the predicative connection between these two systems and the ten items signified by the ‘things said without any combination’ enumerated in Chapter 4 of the Categories, whose list is almost identical with that of categories in Top. I 9, with the only exception of their first members. (shrink)

The difficult phrase ὅ ποτε ὄν ἐστι (hereafter ‘OPO’), which occurs in key passages in Aristotle’s discussions of blood and of time, has long vexed interpreters of Aristotle. This paper proposes a new interpretation of OPO, which resolves some textual and interpretative problems about Aristotle’s theories of blood and of time. My interpretation will also shed light on more general issues in Aristotle’s metaphysics. In the passages I will discuss, Aristotle takes both blood (...) and time to be examples of his peculiar ‘coupled entities’. He then uses OPO to provide explanations which differ from what we might call his ‘standard’ metaphysical explanations. On the ‘standard’ approach, Aristotle explains derivative entities—non-substances—by describing their relationship to substances. By contrast to this standard form of explanation, when Aristotle uses OPO he explains blood and time by describing their relationship to non-substances. This paper thus identifies a new species of metaphysical dependence in Aristotle. In addition, it provides detailed examination of evidence concerning whether Aristotle himself used coupled entities in his own physical and metaphysical theories. (shrink)

Aristotle's Poetics has been the basis for theories of entertainment for over 2,000 years. But the general approach it uses has led to a number of gaps, contradictions, and difficulties in predicting the success of books, plays, movies, and entertainment as a whole, so much so that sayings like "there are no rules, but you break them at your peril," and "in Hollywood, nobody knows anything" have become widespread and accepted. -/- However, it turns out that a model of (...) entertainment that defines literary conventions by the pleasurable feelings they release in the brain, and then equates them with outside experiences that people subconsciously attach to the literary work, in the same way that we can be conditioned to feel love when we view our wedding rings, can actually resolve almost every seeming contradiction in Aristotle's ideas and traditional theories of storytelling when compared to real-world results. -/- Furthermore, this approach can be extended to the other major forms of art, including painting, music and even video games, leading to a "Non-Aristotelian" theory that modifies the fundamental aspects of each of these fields, but in a natural and necessary way, which strengthens both our understanding and our ability to predict the success or failure of art in the future. -/- My work as a vlogger and writer, mostly done via my Youtube channel "StoryBrain," has been viewed over 6 million times, and written about in MovieMaker magazine, Creative Screenwriting magazine, on the front page of major sites like Reddit, Roger Ebert online, and in international newspapers like the Sydney Morning-Herald in Australia and Fotogramas in Spain. My work is also the subject of a chapter of the currently-in-release book "Neuro-Design," by Kogan Page publishing, called "The Neuro Movie Analyst." This paper is a detailed introduction to the theory of Emotional Indiscretion which I have talked about in my work. (shrink)

I examine the reasons Aristotle presents in Physics VIII 8 for denying a crucial assumption of Zeno’s dichotomy paradox: that every motion is composed of sub-motions. Aristotle claims that a unified motion is divisible into motions only in potentiality (δυνάμει). If it were actually divided at some point, the mobile would need to have arrived at and then have departed from this point, and that would require some interval of rest. Commentators have generally found Aristotle’s reasoning unconvincing. (...) Against David Bostock and Richard Sorabji, inter alia, I argue that Aristotle offers a plausible and internally consistent response to Zeno. I defend Aristotle’s reasoning by using his discussion of what to say about the mobile at boundary instants, transitions between change and rest. There Aristotle articulates what I call the Changes are Open, Rests are Closed Rule: what is true of something at a boundary instant is what is true of it over the time of its rest. By contrast, predications true of something over its period of change are not true of the thing at either of the boundary instants of that change. I argue that this rule issues from Aristotle’s general understanding of change, as laid out in Phys. III. It also fits well with Phys. VI, where Aristotle maintains that there is a first boundary instant included in the time of rest, but not a “first in which the mobile began to change.” I then show how this rule underlies Aristotle’s argument that a continuous motion cannot be composed of actual sub-motions. Aristotle distinguishes potential middles, points passed through en route to a terminus, from actual middles. The Changes are Open, Rests are Closed Rule only applies to actual middles, because only they are boundaries of change that the mobile must arrive at and then depart from. On my reading, Aristotle argues that the instant of arrival, the first instant at which the mobile has come to be at the actual middle, cannot belong to the time of the subsequent motion. If it did, the mobile would already be moving towards the next terminus and thus, per Phys. VI 6, would have already left. But it cannot have moved away from the midpoint at the very same moment it has arrived there. This means that the instant of arrival must be separated from the time of departure by an interval of rest. I show how Aristotle’s reasoning applies generally to rule out any continuous reflexive motion or continuous complex rectilinear motion. On my interpretation, however, the argument does not apply to every change of direction. When, as in the case of projectile motion, multiple movers and their relative powers explain why the mobile changes directions, distinct sub-motions are not involved. Aristotle holds that such motions cannot be continuous, not because they involve intervals of rest, but because they involve multiple causes of motion. My interpretation of the Changes are Open, Rests are Closed Rule allows us to make better sense of Aristotle’s argument than any previous interpretation. (shrink)

David Furley's work on the cosmologies of classical antiquity is structured around what he calls "two pictures of the world." The first picture, defended by both Plato and Aristotle, portrays the universe, or all that there is (to pan), as identical with our particular ordered world-system. Thus, the adherents of this view claim that the universe is finite and unique. The second system, defended by Leucippus and Democritus, portrays an infinite universe within which our particular kosmos is only one (...) of countless kosmoi. Aristotle's argument in De caelo I.9 that the world is necessarily unique is an important contribution to this debate. This argument holds interest because it shows Aristotle wrestling with an apparent inconsistency in his own philosophy, as deeply-held convictions within his cosmology collide with an equally deeply-held conviction within his metaphysics. The following three principles, each of which Aristotle appears committed to, are inconsistent: -/- The cosmic uniqueness principle. The world is necessarily unique. The cosmic form principle. The world is an ordered, structured unity. As such, the world has a form. The possibility of multiple instantiation principle. For all F, if F is a form, it is possible that there exist multiple Fs. In De caelo I.9, Aristotle argues that we can establish the uniqueness of the universe, reject the multiple instantiation principle, yet still retain the distinction between 'this world' and 'world in general,' if the following is true (as it is): the world takes up all the matter that exists. Aristotle illustrates this argument with one of the stranger analogies in his corpus: imagine an aquiline nose that takes up all the flesh in the universe. If this were so, then there could not exist any other aquiline objects whatsoever. (For this reason, we dub the De caelo I.9 argument the 'Cosmic Nose argument.') This paper is an interpretation of how this argument is supposed to proceed and an assessment of its success. The first section states the problem Aristotle is confronted with, sorts through Aristotle's various statements of the Cosmic Nose argument, which exhibit some sloppiness, and reconstructs charitably a single argument. We also spend some time examining the significance of Aristotle's example of a gigantic aquiline nose. We argue that, even charitably reconstructed, the argument appears to commit a serious modal fallacy. The remainder of the paper explores whether this modal fallacy can be overcome. We conclude that, although not a cogent argument for the uniqueness of the world (as this would require a significant revision of our current astronomy), the Cosmic Nose argument does succeed on its own terms. However, it should not be regarded as a free-standing argument for the uniqueness of the world. Instead, it depends crucially on the earlier argument in De caelo I.8 for the universe's uniqueness; De caelo I.9 should be viewed as an attempt to extend the conclusion of De caelo I.8 and to show how this conclusion can be made consistent with Aristotle's metaphysical principles about the nature of form. (shrink)

In this contribution, I explore the treatment that Plato devotes to Protagoras’ relativism in the first section of the Theaetetus (151 E 1–186 E 12) where, among other things, the definition that knowledge is perception is put under scrutiny. What I aim to do is to understand the subtlety of Plato’s argument about Protagorean relativism and, at the same time, to assess its philosophical significance by revealing the inextric¬ability of ontological and epistemological aspects on which it is built (for (...) this latter aspect, I refer to contemporary discussions of relativism, mainly to Margolis’ robust relativism). I then turn to Aristotle’s treatment of Protagoras’ relativism in Metaphysics Γ, sections 5 and 6, in order to show that Plato and Aristotle surprisingly share the same view as regards the philosophical content of Protagoras’ relativism (in doing so, I take position against the standard opinion among scholars that Plato and Aristotle understand Protagoras’ relativism in different, even incompatible, ways). What I ultimately aim to demonstrate is that Protagoras’ relativism, as understood by both Plato and Aristotle, is a coherent, even attractive, philosophical position. (shrink)

Aristotle (384-322 B.C), a well know Greek philosopher, physician, scientist and politician. A variety of identifying researches have been written on him. It is therefore a considerable pride for the researcher to write something about him when even mentioning his name and his father's name is a point of prestige in the Greek Language. His name means the preferable sublimity whereas Nicomachus (his father's name) means the definable negotiator. His father's and mother's origin belongs to Asclepiade, the favorite origin (...) in Greek. Points of view regarding this figure are controversial some praise him and consider him the peak of philosophical thinker which makes humanity in general owe this genius thinker a great deal. Others believe that the effect of his thought on humanity is the reason behind the non-progress of science. Whatever ones opinion is, his thoughts have a wonderful force in stimulating and positively affecting the people's thinking. His philosophy is the greatest philosophy which the world has ever witnessed or which may ever witness., if it couldn’t solve some of the problems of philosophy, it at least, makes the world more rational than before. He is the founder of the philosophical language in describing a large number of philosophical terms which are still in use nowadays. Moreover his books and platonic dialogues are considered encyclopedias in providing a basis for philosophy even before Socrates. For theses among other reasons, I am choosing Aristotle as a subject for research and concentrating on natural philosophy. The critical side deals with the criticism of natural philosophers. In order to fully understand Aristotle, we should understand his predecessors. Their virtue is undeniable. Without them, Aristotle's and Plato's genius would never be in this ideal shape. In addition to that, they are philosophers and scientists who mixes between science, philosophy, morality and politics in a complementary form. They are a source of illumination to the human thinking in general. Without them humanity could never have got rid of mythology. This is the code of life, for many generations should pass before the rare genius could attain a prominent idea. When Tales formulates the philosophical question, where does the world come from? This is a decisive moment in human thinking similar to the coming moments, the one Parmenides, and Protagoras statement: man is the norm for all things. Pre-Socrates philosophers are all considered glowing points in drawing Aristotle's philosophy. Thus my book is entitles (Aristotle's criticism of Pre-Socratic Natural Philosophy) which means the concentration on the critical operation through which the natural side of the previous philosophers appears. The nature of the title forces me to deal with Aristotle's ideas from every point of view. Thus the book proceeds according to structure and criticism and the construction of Aristotle's philosophy. Because the title is comprehensive and limited simultaneously, I have chosen the critical subjects in the lights of the natural philosophy. I have divided the book into four chapters with fourteen sections in addition to the implemented parts included in every section purporting to cover every part of criticism looking for comprehensiveness. I have found it obligatory to mention something about Aristotle's view in criticism, in addition to a precise delimitation of nature and its subjects. This is the subject of the first chapter. The second chapter deals with the principles of natural body, i.e., the principles dealt with pre-Aristotle philosophy and then these three principles (Hyle, form ,and Non-being). After delaminating these sides, it is possible to deal with the details (Movement, Place, Time, Vacuum and Infinite) which are natural concepts for the third chapter. As a complementation to the natural sides, the chapter four deals with two topics , Universal and corruption, and theory of elements. This book, in my own opinion, is comprehensive to the majority of natural philosophers and it focuses on the argument of Aristotle's criticism to the views of natural philosophers before Socrates together with the discussion of the Aristotelian alternative from these points of view. Aristotle sometimes tends to praise the previous philosophers. This does not mean the non-conformity between what he wants to say and what they described. When he, for example, says that the previous philosophers realized the material defect in Thales idea that water is the origin of all things but Thales’ water is not like Aristotle's Hyle, it is completely different thing. Finally I have viewed the index of Arab Library, and was unable to trace a book which is especially oriented in this subject i.e. writings on Aristotle's criticism to natural philosophy before Socrates. Therefore I have been stimulated to write about a very new subject. This subject fills a gap in Arab studies. (shrink)

On Jaakko Hintikka’s understanding of Aristotle’s modal thought, Aristotle is committed to a version of the Principle of Plenitude, which is the thesis that no genuine possibility will go unactualized in an infinity of time. If in fact Aristotle endorses the Principle of Plenitude, everything becomes necessary. Despite the strong evidence that Aristotle indeed accepts that Principle of Plenitude, there are key texts in which Aristotle seems to contradict it. On Hintikka’s final word on (...) the matter, Aristotle either endorses the Principle of Plenitude or Aristotle is simply inconsistent. Without challenging Hintikka’s interpretation of the relevant texts, I show how Aristotle may accept a form of the Principle of Plenitude that allows for genuine unactualized possibilities in the world. What allows me to reconcile the seemingly inconsistent data is to show how Aristotle is only committed to a de re version of the Principle of Plenitude. After I lay out my proposal, I show how it opens up new ways in which we might understand Aristotle’s attempt to reject fatalism in his De interpretatione 9. (shrink)

This paper explores the relation of the theory of time and the theory of truth in Deleuze’s philosophy. According to Deleuze, a mutation in our conception of time occurred with Kant. In antiquity, time had been subordinated to movement, it was the measure or the “number of movement” (Aristotle). In Kant, this relation is inverted: time is no longer subordinated to movement but assumes an independence and autonomy of its own for the first time. (...) In Deleuze’s phrasing, time becomes the pure and empty form of everything that moves and changes — not an eternal form (as in Plato), but precisely the form of what is not eternal. In turn, the theory of time is inextricably linked to the concept of truth, since to say that a proposition is true means that it is true “in all times and in all places.” Truth, in other words, is timeless, eternal, non-temporal. When the form of the true is confronted with the form of time, the concept of truth is necessarily put into crisis, and Deleuze’s argument is that time allows the power of the false to assume an autonomy of its own. The analysis will attempt to show how the liberation of time from movement (the pure and empty form of time) leads to a liberation of the false from the true (the power of the false). (shrink)

Common (κοινὸν) has the following features in Aristotle’s works: 1. ‘That which is common ὑπαρχει in many things at the same time,’ which show that it cannot be one thing because that which is one cannot be in many things at the same time. (Met. , Z, 1040b25-27) Although the common is common between different things, it is indeed different for each of them (ἓτερον ἑκατέρῳ τοῦτο αὐτο τὸ ζῷον). Animal, e.g., which is common between horse and (...) man, is specifically different in them (τὸ κοινὸν ἓτερον ἀλλήλων ἐστὶ τῷ εἴδει). Thus, man and horse are different having difference of genus, an otherness that makes the genus itself different (ἀνάγκη ἄρα τὴν διαφορὰν ταύτην ἑτερότητα τοῦ γένους εἶναι. λέγω γὰρ γένους διαφορὰν ἑτερότητα ἣ ἓτερον ποιεῖ τοῦτο αὐτό). (Met., I, 1058a2-8) 2. The common indicates a ‘such’ (τοιόνδε) and not a ‘this’ (τόδε τι). (Met., B, 1003a7-9) One reason of this is that every single thing has several commons with other things and if each of these commons were to be a this, every single thing would be several things. (Met., B, 1003a9-12; cf. Met., Z, 1038b34-1039a11) 3. To investigate the definition of a thing, we must stablish the common element in all members of all the species of that which is to be defined and the common of the commons until we reach to a single formula, which will be the definition. (PsA., B, 13, 97b7-13) The same is true about the investigation of essential nature: to inquire the essential nature of a thing, we should search for what is common in instances. (PsA., B, 13, 97b15-25) 4. The process of the selection of analyses and divisions is based on lying down the common genus of all the subjects of investigation by analyzing the common properties and especially essential properties of subgenera classes. (psA., B, 14, 98a1-12) 5. We must distinguish between two ways of commonship: being based on a common (καθ᾿ ἓν) or being related to or referred to a common (πρὸς ἓν or πρὸς μίαν). (Met., B, 1003b12-15) 6. Things that have common nature, fall under one science. (Met., K, 1060b33-36) . (shrink)