InMetaphysicsΘ.6, 1048b14-17, Aristotle treats the problem of what it is for the infinite to exist potentially, i.e. to be potentially actual. According to my interpretation, Aristotle argues that to exist potentially is for the infinite to have a potentiality which cannot be actualized in reality but only in thought, because it is a potentiality the process of whose actualization cannot be brought to an end.

Este artículo subraya la incidencia de un componente temporal en la doctrina aristotélica de la sustancia y las categorías en la medida en que la distinción sustancia-accidentes se refiere no sólo a la oposición lógica entre el sujeto y el predicado, sino también a la oposición real entre el sujeto de cambio y sus determinaciones. El argumento se basa en la interpretación de importantes pasajes de Cat. 5, Phys. I, 7 y IV 10-14.

This paper serves both as a discussion of Henry’s (Ethical Theory Moral Practice, 5:255–270, 2002) interpretation of Aristotle on the possibility of akrasia – knowing something is wrong and doing it anyway – and an indication of the importance of desire in Aristotle’s account of moral reasoning. As I will explain, Henry’s interpretation is advantageous for the reason that it makes clear how Aristotle could have made good sense of genuine akrasia, a phenomenon that we seem to observe in the (...) real world, while maintaining non-trivial distinctions between temperance (sôphrosunê), self-indulgence (akolasia), self-control (enkrateia) and akrasia. There are, however, some interpretive challenges that follow from Henry’s account and this paper is intended to explain and resolve those. (shrink)

As was first pointed out by Gercke, there are close parallels, which clearly suggest a common source, between Apuleius,de Platone1.12, the treatiseOn Fatefalsely attributed to Plutarch, Calcidius'excursuson fate in his commentary on Plato'sTimaeus, and certain sections of the treatisede Natura hominisby Nemesius. Gercke traced the doctrines common to these works to the school of Gaius; recently however Dillon has pointed out that, while Albinus shares with these works the characteristic Middle-Platonic notion of fate as conditional or hypothetical – our actions (...) are free, but once we have acted the consequences of our actions are fated and inevitable – he doesnotshare certain other common features, such as the identification of fate as substance with the world-soul and the hierarchy of three providences. (shrink)

Modern logicians have sought to unlock the modal secrets of Aristotle's Syllogistic by assuming a version of essentialism and treating it as a primitive within the semantics. These attempts ultimately distort Aristotle's ontology. None of these approaches make full use of tests found throughout Aristotle's corpus and ancient Greek philosophy. I base a system on Aristotle's tests for things that can never combine (polarity) and things that can never separate (inseparability). The resulting system not only reproduces Aristotle's recorded results for (...) the apodictic syllogistic in the Prior Analytics but it also generates rather than assumes Aristotle's distinctions among 'necessary', 'essential' and 'accidental'. By developing a system around tests that are in Aristotle and basic to ancient Greek philosophy, the system is linked to a history of practices, providing a platform for future work on the origins of logic. (shrink)

Aristotle holds that individual substances are ontologically independent from nonsubstances and universal substances but that non-substances and universal substances are ontologically dependent on substances. There is then an asymmetry between individual substances and other kinds of beings with respect to ontological dependence. Under what could plausibly be called the standard interpretation, the ontological independence ascribed to individual substances and denied of non-substances and universal substances is a capacity for independent existence. There is, however, a tension between this interpretation and the (...) asymmetry between individual substances and the other kinds of entities with respect to ontological independence. I will propose an alternative interpretation: to weaken the relevant notion of ontological independence from a capacity for independent existence to the independent possession of a certain ontological status. (shrink)

The theoretical reliability of determinism. A review from the proposal of Mariano Artigas This article has two purposes. The first is to demonstrate that the theory of determinism, which claims to be based on the principles of experimental science, cannot be considered as an explanation compatible with such sciences. To do this, we use some ideas of Mariano Artigas on the explanatory power of scientific theories and their reliability from his book The Mind of the Universe. Through this process we (...) seek to achieve the second objective: to show the importance of the work of Artigas to dissolve complex contemporary debates, such as the current discussion about the existence of human freedom. (shrink)

This study considers Newton's views on space and time with respect to some important ontologies of substance in his period. Specifically, it deals in a philosophico-historical manner with his conception of substance, attribute, existence, to actuality and necessity. I show how Newton links these “features” of things to his conception of God's existence with respect of infinite space and time. Moreover, I argue that his ontology of space and time cannot be understood without fully appreciating how it relates to the (...) nature of Divine existence. In order to establish this, the ontology embodied in Newton's theory of predication is analysed, and shown to be different from the presuppositions of the ontological argument. From the historical point of view Gassendi's influence is stressed, via the mediation of Walter Charleton. Furthermore, Newton's thought on these matters is contrasted with Descartes's and Spinoza's. In point of fact, in his earliest notebook Newton recorded observations on Descartes's version of the ontological argument. Soon, however, he was to oppose the Cartesian conception of the actuality of Divine existence by means of arguments similar to those of Gassendi. Lastly, I suggest that the nature and extent of Henry More's influence on Newton's conception of how God relates to absolute space and time bears further examination. (shrink)

(2011). ‘What Is, Is More than It Is’: Adorno and Heidegger on the Priority of Possibility. International Journal of Philosophical Studies: Vol. 19, No. 1, pp. 31-57. doi: 10.1080/09672559.2011.539357.

In this article, the author studies some central concepts in Avicenna's and sī's modal logics as presented in Avicenna's Al-Ish r t wa'l Tan īh t ( Pointers and Reminders ) and in sī's commentary. In this work, Avicenna introduces some remarkable distinctions in order to interpret Aristotle's modal syllogistic in the Prior Analytics . The author outlines a new interpretation of absolute sentences as temporally indefinite sentences and argues on the basis of this that Avicenna seems to subscribe to (...) the Principle of Plenitude. He also shows that he has no valid proof of the modal conversion rules and that he uses some rather ad hoc distinctions to show that Aristotle's modal syllogistic is correct. The author also notes some interesting differences between Avicenna's and sī's approaches to modal logic. (shrink)

With the aid of some Scotistic conceptual distinctions, I develop a way of meeting the apparent deterministic sway of neurobiology. I make a careful distinction between formal and material freedom. Formal freedom, the ability to will or not to will a certain state of affairs regardless of whether it can be effectuated, remains, even if our material freedom to effectuate it is hampered by neurobiological mechanisms. These conceptual findings are linked with contemporary empirical research on obsessive-compulsive disorder and the possibility (...) of volitional modulation of cerebral function. (shrink)

The symbolism introduced earlier provides a convenient vehicle for examining the status and consistency of Aristotle's three diverse justifications and for explaining how he means to avoid Protagorean relativism without embracing Platonic absolutism. When the variables ‘ x ’ and ‘ y ’ are allowed to range over the groups of free men in a given polis as well as over individual free men, the formula for the Aristotelian conception of justice expresses the major premiss of Aristotle's three justifications: (1) (...) (∀ x )(∀ y ) (P(x)·W(x)/P(y)·W(y)=V(T(x))/V(T(y)))Democracy is justified by adding a minor premiss to the effect that as a group the many ( m ) are superior (>) in virtue and wealth to the few best men ( f ): 85 (2 d ) (P(m) · W(m)) > (P(f) · W(f)) (3 d ) V(T(m))>V(T(f))Absolute kingship is justified when a godlike man ( g ) appears in a polis who is incommensurably superior (≫) in virtue and wealth to all the remaining free men ( r ): (2 k ) (P(g) · W(g)) ≫ (P(r) · W(r)) (3 k ) V(T(g)) ≫ V(T(r))True aristocracy requires a more complex justification, which was symbolized in Section 4. These justifications are compatible with each other since they apply to different situations. The polises where democracy and true aristocracy are justified contain no godlike men, and the polis in which democracy is justified differs from that in which true aristocracy is justified in containing a large group of free men who individually have little virtue ( Pol. III.11.1281b23-25, 1282a25-26). Each of the justifications is a valid deductive argument. Aristotle affirms the major premiss they share on the basis of a twofold appeal to nature. The principle of distributive justice, the concept as distinguished from the various conceptions of distributive justice, is itself according to nature ( Pol. VII.3.1325b7-10) and so too is one particular standard of worth, the standard of the best polis. Consequently, the question of the status of these three justifications, whether they are purely hypothetical or not, is a question about the minor premiss or premisses of each. In the case of the democratic premiss Aristotle's answer is straightforward: it is sometimes but not always true ( Pol. III.11.1281bl5-21). Hence the justification of democracy is not purely hypothetical. Nor is the justification of absolute kingship. The man who is “like a god among men” ( Pol. III.13.1284a10-11) would be a man of heroic virtue (see VII.14.1332bl6-27); and such a man, Aristotle says, is “rare” ( σπávιoη ) (not nonexistent) ( E.N. VII.1.1145a27-28). The minor premisses of the aristocratic argument describe a situation where all of the free men in a given polis have sufficient wealth for the exercise of the moral and intellectual virtues and where all of the older free men of the polis are men of practical wisdom. In the Politics Aristotle makes only the modest claim that such a situation is possible: It is not possible for the best constitution to come into being without appropriate equipment [that is, the appropriate quality and quantity of territory and of citizens and noncitizens]. Hence one must presuppose many things as one would wish them to be, though none of them must be impossible ( Pol. VII.4.1325b37-38; see also II.6.1265al7-18). But Aristotle appears to subscribe to the principle that every possibility is realized at some moment of time ( Top. 11.11.115bl7-18, Met. Θ.4.1047b3-6, N.2.1088b23-25). This principle together with the claim that the situation described is possible entails that the situation sometimes occurs. Thus even Aristotle's justification of true aristocracy is not purely hypothetical. The final question is Aristotle's way of avoiding Protagorean relativism without embracing Platonic absolutism. The relativist, along with everyone else ( E.N. V.3.1131a13-14, Pol. III.12.1282bl8), can accept the principle of distributive justice: Q(x)/Q(y) = V(T(x))/V(T(y)) And he can concede that particular instances of this principle, particular conceptions of justice, accurately describe the modes of distributing political authority that appear just to particular polises and to particular philosophers. What he denies is that there is any basis for ranking these various conceptions of justice or for singling one out as the best (Plato, Theaet. 172A-B). Aristotle, following in Plato's track ( Laws X.888D7-890D8), maintains against the relativist that nature provides such a basis. But he departs from Plato in his conception of nature. For Plato “the just by nature” ( τó ρυσει δίκ↑oν }) ( Rep. VI.501B2) is the Form of justice, an incorporeal entity ( Phdo. 65D4-5, Soph. 246B8) that exists beyond time and space ( Tim. 37C6-38C3, 51E6-52B2), whereas for Aristotle the sensible world is the realm of nature ( Met. A.1.1069a30-b2). Thus in appealing to nature Aristotle does not appeal to a transcendent standard. Nor does he appeal to his main criterion of the natural, namely, happening always or for the most part. Aristotle's theory of justice is anchored to nature by means of the polis described in Politics VII and VIII, and he regards this polis as natural because it fosters the true end of human life and because its social and political structure reflects the natural hierarchy of human beings and the natural stages of life. Thus the nature that Aristotle's theory of justice is ultimately founded on is human nature. (shrink)

This paper assesses the theory, first voiced by Schelling and Kant, according to which an infinite historical process will lead to cosmopolitan institutions.The assessment will mainly be done on the basis of theories about infinitely repeated games. The first part of the paper reconstructs “infinitesimal” historical cosmopolitanism as proposed by Schelling and Kant. The second part confronts this position with the results of the theory of infinitely repeated games among groups. The third part offers reflections on additional conditions and contingencies (...) of the theory and the forth part draws the conclusion: while we can reasonably assume global cooperation to increase and stabilize over time under sustainable conditions, we cannot predict the institutional design of that cooperation. (shrink)

In chapter 9 of De Interpretatione, Aristotle offers a defense of free will against the threat of fatalism. According to the traditional interpretation, Aristotle concedes the validity of the fatalist's arguments and then proceeds to reject the Principle of Bivalence in order to avoid the fatalist's conclusion. Assuming that the traditional interpretation is right on this point, it remains to be seen why Aristotle felt compelled to reject such an intuitive semantic principle rather than challenge the fatalist's inference from truth (...) to necessity. The answer, I contend, lies in Aristotle's theory of truth and truthmakers. (shrink)

In his Parts of Animals, Aristotle distinguishes three modes of the necessary.However, it is not clear just what these three modes are.Nor is it clear how this passage fits with other texts where A...