At Plato’s insistence to become as godlike as one can, the Neoplatonists seek their salvation in union with the first principle they call the One, identifying this union as the highest end of philosophy. As with all aspirations, the transition from theoretical ideal to practical implementation remains a perennial problem: how is it possible for a person, as a mere mortal, to leave the person’s confined ontological station to unite with the divine, transcendent first principle? This paper is an attempt (...) to reconstruct Proclus’ highly distinctive answer to this question of enormous importance through a close examination of his development of the late Neoplatonic notion of the One in the soul (τὸ ἐν ἡμῖν ἓν). (shrink)

Although Aristotle’s Metaphysics received much attention in the nineteenth and the twentieth centuries, scholars and historians of science were not particularly interested in clarifying the aim of Aristotle’s appeal to astronomy in Λ 8. Read with monotheistic prejudices, this chapter was quickly abandoned by Aristotelian scholars as a gratuitous insertion, which downgrades Aristotle’s God for the sake of some supplementary principles, whose existence was dictated by celestial mechanics. On the other hand, historians of astronomy read the astronomical excursus as providing (...) a picture of Aristotle as an able astronomer, who made an important contribution to the theory of concentric celestial spheres of Eudoxus and Callippus by adding the counteracting spheres. The present article argues (a) that Aristotle purposefully turned to astronomy as the only mathematical science whose objects were correlative to the immaterial first substances or gods, the number of which had to be precisely determined by his own project of first philosophy; and (b) that he had no aspiration of improving the astronomical theory of his peers, contrary to an interpretation that first emerged with the Peripatetic exegete Sosigenes in the second century A.D. (shrink)

The paper investigates the distinction between form and matter in Kant’s theoretical philosophy – his adoption of an Aristotelian hylomorphism. This connection to Aristotle is sometimes recognized in Kant scholarship, though most proponents claim that against the backdrop of a structural analogy, Kant and Aristotle also differ in an important respect: according to them, while Aristotle puts forth a hylomorphic conception of being, Kant merely offers a hylomorphic conception of cognition in which sensibility provides the matter and understanding the form. (...) Against this, the paper claims that this “interiorization” of form cannot be squared with Kant’s actual views. Form is not internal for Kant, but neither is it external. Rather, it is “original form”. This interpretation ascribes a “hylomorphism all the way down” to Kant, meaning that the form and the matter of cognition are jointly actualized in virtue of each other. The understanding cannot be understood apart from its part in a hylomorphic unity with sensibility. Therefore, a proper appreciation of this unity enables us to see that it is impossible to distinguish the form that objects have as objects of cognition from the form they have in themselves. (shrink)

We provide a new interpretation of Zeno’s Paradox of Measure that begins by giving a substantive account, drawn from Aristotle’s text, of the fact that points lack magnitude. The main elements of this account are (1) the Axiom of Archimedes which states that there are no infinitesimal magnitudes, and (2) the principle that all assignments of magnitude, or lack thereof, must be grounded in the magnitude of line segments, the primary objects to which the notion of linear magnitude applies. Armed (...) with this account, we are ineluctably driven to introduce a highly constructive notion of (outer) measure based exclusively on the total magnitude of potentially infinite collections of line segments. The Paradox of Measure then consists in the proof that every finite or potentially infinite collection of points lacks magnitude with respect to this notion of measure. We observe that the Paradox of Measure, thus understood, troubled analysts into the 1880’s, despite their knowledge that the linear continuum is uncountable. The Paradox was ultimately resolved by Borel in his thesis of 1893, as a corollary to his celebrated result that every countable open cover of a closed line segment has a finite sub-cover, a result he later called the “First Fundamental Theorem of Measure Theory.” This achievement of Borel has not been sufficiently appreciated. We conclude with a metamathematical analysis of the resolution of the paradox made possible by recent results in reverse mathematics. (shrink)

This paper addresses a difficult passage from Aristotle’s Metaphysics (V. 4, 1015a11-13) in which he identifies a metaphorical use of the term “nature” (phusis) to refer to the entities which he calls “substances” (ousiai). I claim that the passage at stake deploys the very notion of metaphor on the basis of an analogy (as defined in the Poetics and in the Rhetorics), which is grounded on a weak (and, sometimes, very weak) similarity between two relations (each involving two relata). The (...) sentences found in 1015a11-13 belong to those kind of metalinguistic sentences which we usually employ to shed some light on the metaphorical use of a term. The similarity Aristotle is presupposing is this: both nature and substance are, in their respective fields, some kind of principle that guarantees (besides other things) certain persistence conditions for what they are the principles of. And this weak similarity is enough for the term “nature” to refer metaphorically to substances. (shrink)

(1) This paper is about how to build an account of the normativity of logic around the claim that logic is constitutive of thinking. I take the claim that logic is constitutive of thinking to mean that representational activity must tend to conform to logic to count as thinking. (2) I develop a natural line of thought about how to develop the constitutive position into an account of logical normativity by drawing on constitutivism in metaethics. (3) I argue that, while (...) this line of thought provides some insights, it is importantly incomplete, as it is unable to explain why we should think. I consider two attempts at rescuing the line of thought. The first, unsuccessful response is that it is self-defeating to ask why we ought to think. The second response is that we need to think. But this response secures normativity only if thinking has some connection to human flourishing. (4) I argue that thinking is necessary for human flourishing. Logic is normative because it is constitutive of this good. (5) I show that the resulting account deals nicely with problems that vex other accounts of logical normativity. (shrink)

El _De Institutione Musica_, uno de los primeros tratados científicos de Boecio, expone la relación entre el hombre y la música basada en la armonía musical del cuerpo y el alma, donde Platón y Aristóteles aparecen confirmando a Pitágoras, quien sería el creador de esta antropología. En nuestro análisis, la enseñanza de Boecio proviene del neo-pitagorismo de Nicómaco de Gerasa y es incompatible no sólo con las doctrinas correspondientes de Platón y Aristóteles, a quien Boecio dice honrar con la traducción (...) de sus obras, sino con otros tratados, especialmente el _Contra Eutychen_ que se analiza aquí, por tener un fuerte componente antropológico. La pregunta que nos hacemos es si Boecio era consciente de la incoherencia doctrinal de sus fuentes. Nuestra respuesta es que él no fue inconsciente ni un traductor servil de sus fuentes, sino que él se identifica con las enseñanzas de Nicómaco sólo en la etapa inicial de su desarrollo, y esta doctrina no está integrada con el resto de sus trabajos científicos y teológicos. (shrink)

The paper uses the theory of generalized quantifiers to discuss existential import and its implications for Aristotelian logic, namely the square of opposition, conversions and the assertoric syllogistic, as well as for more recent generalizations to intermediate quantifiers like “most”. While this is a systematic discussion of the semantic background one should assume in order to obtain the inferences and oppositions Aristotle proposed, it also sheds some light on the interpretation of his writings. Moreover by applying tools from modern formal (...) semantics to the investigation of classical Aristotelian logic and its extensions, we combine different approaches to the logic of quantification. We will present variants of quantifiers that are associated to the four corners of the square of opposition with and without existential import and discuss their role for the logical square, conversions and the syllogistic. It will turn out that there is no way to ascribe existential import that validates all inferences and relations which one is willing to hold in Aristotelian logic. Two options, however, provide reasonable results. Existential import should either be ascribed only to affirmative statements or only be ascribed to universal quantification. The former option is preferable for a mere reconstruction of the classical Aristotelian logic while the latter option is more attractive if Aristotelian logic is generalized to intermediate quantifiers. (shrink)

In this paper I argue that the basic form of good luck (eutuchia) that Aristotle identifies in his Eudemian Ethics 8.2 is the divine good luck, which is not also natural good luck, as is commonly assumed by interpreters. The property of being lucky is neither a primitive nor a natural property, nor such that it is based on some natural property, but a property bestowed by god. Hence, the only satisfactory explanation of good luck must be theological. Furthermore, I (...) argue that Aristotle’s account is neutral in regard to character, intellectual, and physical dispositions of those who are subject to good luck. (shrink)

One rationale policy-makers sometimes give for declining to fund a service or intervention is on the grounds that it would be ‘unaffordable’, which is to say, that the total cost of providing the service or intervention for all eligible recipients would exceed the budget limit. But does the mere fact that a service or intervention is unaffordable present a reason not to fund it? Thus far, the philosophical literature has remained largely silent on this issue. However, in this article, we (...) consider this kind of thinking in depth. Albeit with certain important caveats, we argue that the use of affordability criteria in matters of public financing commits what Parfit might have called a ‘mistake in moral mathematics’. First, it fails to abide by what we term a principle of ‘non-perfectionism’ in moral action: the mere fact that it is practically impossible for you to do all the good that you have reason to do does not present a reason not to do whatever good you can do. And second, when used as a means of arbitrating between which services to fund, affordability criteria can lead to a kind of ‘numerical discrimination’. Various attendant issues around fairness and lotteries are also discussed. (shrink)

Pautz has argued that the most prominent naive realist account of hallucination—negative epistemic disjunctivism—cannot explain how hallucinations enable us to form beliefs about perceptually presented properties. He takes this as grounds to reject both negative epistemic disjunctivism and naive realism. Our aims are two: First, to show that this objection is dialectically ineffective against naive realism, and second, to draw morals from the failure of this objection for the dispute over the nature of perceptual experience at large.

The value of the arts is often measured in terms of human creativity against instrumental rationality, while art for art's sake defends against a utility of art. Such critiques of the technical and formulaic are themselves formulaic, repeating the dualism of the head and the heart. How should we account for this formula? We should do so by investigating its determination within metaphysical and social relations, ancient and modern, and by comprehending the notion of freedom carried therein. This opens up (...) the value of the arts to a modern metaphysics and modern notion of freedom. This value, and this freedom, find currency in a notion of philosophical and political education, and especially in a modern conception of liberal arts education, where freedom is to learn. (shrink)

The traditional perspective on emotions, anchored in the Western philosophical tradition, assumes an irretrievable dualism between emotions and reason. Emotions are assumed as forces, which can blind a person’s view and lead them to do terrible things. For this reason, emotions must be put aside during rational deliberation. For common sense, including legal common sense, emotions are dangerous and are unrelated to rational decision-making. Nevertheless, Aristotelian’s perspective on the relationship between emotions, reason and practical deliberation is enlightening. Emotions are not (...) blind forces completely divorced from reason. Aristotle did not develop a complete theory of emotions but recognized a strong covariance between emotions/passions/sentiments and thoughts. This research is based on three theoretical pillars: Aristotle’s perspective on the relationship between reason and emotions drawn on Nicomachean Ethics and Rethoric, the jurisprudencialism, a jurisphilosophical approach elaborated by António Castanheira Neves, and Terry Maroney’s model for judicial emotion regulation. The power of judgement is assumed mainly as a practical task, which involves the excellence of phronesis, virtues and emotions/sentiments/passions. (shrink)

This paper deals with the physics of Anaximander and argues that, in his theory, the drying up of the sea cannot be accounted for in terms of the kind of conflict envisaged in his main fragment between the four basic substances: the hot, the cold, the wet and the dry (DK 12B1). In so doing, the paper takes issue with a classic interpretation of Anaximander’s cosmology advocated by Jaap Mansfeld (2011). This issue also brings us to a wider philosophical problem: (...) are meteorological phenomena in general amenable to this conflict according to Anaximander? In the conclusion, a few conjectural remarks are made regarding what may have been the real explanandum of this theory. (shrink)

Speaking is a highly conventional enterprise. But unusual usages are, nonetheless, frequently encountered. Some of these novelties fall flat, while others find favour, to the extent of entering common usage. He considered to say something will sound wrong to most native speakers, while The military disappeared her husband, which was more or less unsayable prior to the 1960s, has come to seem fine. Linguist Adelle E. Goldberg has recently argued that speakers display a remarkable openness to new words, phrases and (...) even grammatical forms, when there is no current way of communicating whatever it is those novel strings serve to express. My paper exegetes Goldberg’s findings to illuminate the question of poetic judgement. It proposes that there is a strong parallel between how people judge linguistic innovation in everyday speaking, and the way poets and critics judge innovative poetic diction: in both cases there is a premium on what cannot otherwise be said. The paper proceeds to deepen the analogies between these two modes of judgement. It starts by linking the lack of rules for determining the acceptability of new words and phrases in everyday speaking with the indifference to prior rules associated with aesthetic judgement in Kant’s third critique, and apparent in the appraisals of many a contemporary poetry critic. It turns to consider the claim that what motivates the judgements under consideration is a preference in the human conceptual system for distinct symbols to have mutually exclusive meanings. A fourth section concerns what Construction Grammar, the broad field of Goldberg’s intervention, has to reveal about the conditions under which new words and phrases can take on meaning in the first place. This too has something to suggest about why we judge certain poetic efforts poor, others landed. (shrink)

: Metaphysics B considers two sets of views that hypostatize mathematicals. Aristotle discusses the first in his B.2 treatment of aporia 5, and the second in his B.5 treatment of aporia 12. The former has attracted considerable attention; the latter has not. I show that aporia 12 is more significant than the literature suggests, and specifically that it is directly addressed in M.2 – an indication of its importance. There is an immediate problem: Aristotle spends most of M.2 refuting the (...) view that mathematicals are separate; but the B.5 mathematicals are inherent. I argue that the B.5 inherence is compatible with the M.2 separateness, and further, that aporia 12 is more than just a puzzle about the hypostatization of mathematicals. It is also a puzzle about the ontological status of mathematicals relative to sensibles. (shrink)

This paper focuses on Galen’s views about the formal cause against the wider background of his account of causation. In his works on the pulse, Galen provides an in-depth discussion of issues such as the theory of causes and the problem of definition. While Galen is inclined to incorporate Peripatetic doctrines and vocabulary, he neglects Aristotle’s formal cause both in his account of causes and in that of definition. Further parallels outside the corpus on the pulse confirm Galen’s reserved attitude (...) towards the (Peripatetic) formal cause. In his work That the Faculties of the Soul Follow the Mixtures of the Body, however, Galen refers favourably to the Peripatetic theory of hylomorphic form. More precisely, Galen equates the Peripatetic en-mattered form with the mixture of homoeomerous bodies (the ratio or proportion of the elementary qualities in them). Here I will attempt to provide an explanation of Galen’s mixed attitude towards the formal cause and I will argue that his general position is consistent after all. In addition to this, I will try to set Galen’s position against the background of the Peripatetic debates on the status of form. (shrink)

Creativity is an imperative need of the twenty-first century, and it seems to be a skill that will monopolize interest for many years. It is, in substance, a newly established scientific field and despite attempts to encroach on the science of psychology, its origin and functions have not been probed yet. Still, it continues to be researched, with ever-increasing vigor, almost in every area of science and action, with the main scope of potential exploitation being education. The philosophical foundation of (...) creativity has not reached the depths that one would expect, and most scientists-thinkers (and... (shrink)

In this article, we highlight the importance of psychoanalysis and the Heideggerian concept of ‘place’ for each respective domain of inquiry. In particular, the writings of Jung and Lacan can unconceal and reveal new dimensions of Jeff Malpas’s work on place. Alternatively, Malpas can extend the work of these psychoanalysts by showing new dimensions of their ideas through an analysis of ‘place’. Ultimately, this article sets up a number of possibilities for future research through this novel interaction and engagement between (...) the philosophy of place and psychoanalysis. One of these possibilities is in genomics and genetic determinism, which we briefly acknowledge throughout. (shrink)