Owen Goldin

Aristotle’s main objection to Pythagorean number ontology is that it posits as a basic subject what can exist only as inherent in a subject. I then show how contemporary structural realists posit an ontology much like that of Aristotle’s Pythagoreans. Both take the objects of knowledge to be structure, not the subject of structure. I discuss both how pancomputationalists such as Edward Fredkin approach the Pythagorean account insofar as on their account all reality can in principle be expressed as one (very big) number, made up of discrete units, and even more moderate varieties of structural realism, like that of Floridi, share with pancomputationalism the aspect of “Pythagorean” ontology that Aristotle finds so objectionable: positing structure or form with no substrate. I conclude by arguing that Aristotle himself is drawn to something close or (identical) to a structural realist ontology in Metaphysics 7.3.

abstract What gives ethical and political validity to a state? This is to ask what a state is for and to provide a means to determine whether or not a constitution is just. In this paper I compare the account given by Tamir in Liberal Nationalism with that of Rawls, in order to clarify the decisive differences. Although both recognize the importance of particular associations and the moral imperative to be fair, Tamir places priority on the first and Rawls on the second. I explore their practical implications in regard to the ethical defensibility of Israel's self‐identification as a Jewish state and to conflicting nationalistic territorial claims for the Temple Mount in Jerusalem. I suggest that if Tamir is correct in her analysis of nationalism, the Israeli‐Palestinian conflict is a problem that is without the sort of solution that is sought by those who are both interested parties and rational agents of good will.

Within the third book of Porphyry's On Abstinence from Animal Food, an ethic of community is developed in order to provide the basis of an account of our ethical obligations to animals. I argue that in spite of Porphyry's rejection of this account, it constitutes a coherent and comprehensive nonanthropocentric ethical theory. It conforms with ethical intuitions insofar as it grants that animals are moral subjects, but does not demand impartiality. By appealing to Theophrastus's notion of to oikeion and to the Stoic notion of oikeic6is it provides the theoretical resources for showing why it is often appropriate to favor human beings over other animals.

Aristotle’s account of epistēmē is foundationalist. In contrast, the web of dialectical argumentation that constitutes justification for scientific principles is coherentist. Aristotle’s account of explanation is structurally parallel to the argument for a foundationalist account of justification. He accepts the first argument but his coherentist accounts of justification indicate that he would not accept the second. Where is the disanalogy? For Aristotle, the intelligibility of a demonstrative premise is the cause of the intelligibility of a demonstrated conclusion and causation is asymmetric. Within the Posterior Analytics itself, Aristotle does not account for this, but elsewhere he develops the resources for doing so: the cause is what acts on a substrate to actualize a potential in that substrate, resulting in the effect. On the other hand, it may well happen that two propositions entail each other, in which case one may as well justify the one on the basis of the other as vice versa.

The Prior and Posterior Analytics were entitled Ta Analutika by Aristotle himself. But it is not at all clear what Aristotle had in mind in grouping these two works together and in giving them this common title. This question was discussed at length by the ancient Greek commentators on Aristotle. Two main possibilities emerged. The first is that taken by Alexander of Aphrodisias, Ammonius, and Philoponus in his commentary on APr. According to this line of thought, Aristotle has in mind the analysis that shows how a complex arises out of simple entities; both Analytics show us how to subject all lines of syllogistic reasoning (including demonstration) to such analysis. According to the second approach, found in the commentary on APo., 2 attributed to Philoponus, in giving APo., 2 the title 'Analytics' Aristotle has in mind the analysis that reasons from effects to causes. Demonstrations reveal the causes of things, and APo., 2 shows how this is the case. In this paper, the two approaches are compared, and a third approach, which builds on the second, but allows 'Analytics' to have a continuity of sense in its use as a title, is proposed.

Within The Guide of the Perplexed Maimonides presents an argument that is intended to render probable the temporal creation of the cosmos. In one of these arguments Maimonides adopts the Kalamic strategy of arguing for the necessity of there being a “particularizing” agent. Maimonides argues that even one who grants Aristotelian science can still ask why the heavenly realm is as it is, to which there is no reply forthcoming but “God so willed it.” The argument is effective against the Arabic Neoplatonic Aristotelians, but not against Aristotle himself. Aristotle’s response to Maimonides would be that the latter is in effect asking, “Why are there the essences there are?”, a question that Aristotle would take to be fundamentally misplaced, since he holds that the existence of the theoretical primitives of every science is to be assumed. Nevertheless, Maimonides’ challenge has force for those who recognize a demand for a metaphysical explanation for there being those kinds of things posited as primitive by the natural sciences.

This book is an attempt to meet the arguments of scholars who have denied that within the Philebus, generally recognized as a late dialogue, the theory of Forms of the middle dialogues is advocated or plays an important role. Accordingly, instead of a commentary on the argument of the Philebus as a whole, Benitez presents a painstaking analysis of those passages that promise to shed light on Plato's metaphysical and epistemological views at the time of the writing of the Philebus. The result is not for the casual reader, since much of the book is devoted to a careful examination of the Greek text and alternative interpretations. Nonetheless this book will prove profitable for all who are interested in Platonic metaphysics, for Benitez concentrates on developing cogent interpretations of the One-Many problems and the Heavenly Tradition and the Fourfold Classification, two of the most difficult and provocative passages in the Platonic corpus.

This commentary on Aristotle’s Metaphysics is in a style familiar from the writings of Leo Strauss and his students. The reader is presented with a paraphrase of the whole of Aristotle’s text, marked by seemingly odd omissions, emphases, and offhand remarks. One soon sees that the book is written in code. Only as the book progresses is the author more explicit concerning what he takes to be the main lines of Aristotle’s esoteric teaching, which is as follows.Aristotle writes the Metaphysics for students being initiated into philosophy. These students have already left behind a mythical world-view, but not all are..

Aristotle described the scientific explanation of universal or general facts as deducing them through scientific demonstrations, that is, through syllogisms that met requirements he first formulated of logical validity and explanatoriness. In Chapters 19-23, he adds arguments for the further logical restrictions that scientific demonstrations can neither be indefinitely long nor infinitely extendible through the interposition of new middle terms. Chapters 24-26 argue for the superiority of universal over particular demonstration, of affirmative over negative demonstration, and of direct negative demonstration over demonstration to the impossible. Chapters 27 34 discuss different aspects of sciences and scientific understanding, allowing us to distinguish between sciences, and between scientific understanding and other kinds of cognition, especially opinion. Philoponus' comments on these chapters are interesting especially because of his metaphysical analysis of universal predication and his understanding of the notion of subordinate sciences. We learn from his commentary that Philoponus believed in Platonic Forms as inherent in, and posterior to, the Divine Intellect, but ascribed to Aristotle an interpretation of Plato's Forms as independent substances, prior to the Demiurgic Intellect. A very important notion from Aristotle's Posterior Analytics is that of the 'subordination' of sciences, i.e. the idea that some sciences depend on 'higher' ones for some of their principles. Philoponus goes beyond Aristotle in suggesting a taxonomy of sciences, in which the subordinate science is the same in genus as the superordinate, but different in species.

This paper examines how within De Caelo Aristotle argues that the heavens rotate to the right, because this is best. I isolate and evaluate its presuppositions and show how it comprises both a dialectical argument to cosmological principles and a partial demonstrative explanation on the basis of such principles. Second, I consider the expressions of epistemological hesitation that Aristotle offers in regard to this arguments, and draw conclusions concerning the status of cosmology as an Aristotelian science. In order to "save the phenomena," to allow the endoxon that the heavens are alive and divine to stand, Aristotle needs to make the point that the world and its doings, including all of our human doings, depend on an actuality that is in some sense better than the occasional, incomplete activities in which we engage.

At Metaphysics A 5 986a22-b2, Aristotle refers to a Pythagorean table, with two columns of paired opposites. I argue that 1) although Burkert and Zhmud have argued otherwise, there is sufficient textual evidence to indicate that the table, or one much like it, is indeed of Pythagorean origin; 2) research in structural anthropology indicates that the tables are a formalization of arrays of “symbolic classification” which express a pre-scientific world view with social and ethical implications, according to which the presence of a principle on one column of the table will carry with it another principle within the same column; 3) a close analysis of Aristotle's arguments shows that he thought that the table expresses real causal relationships; and 4) Aristotle faults the table of opposites with positing its principles as having universal application and with not distinguishing between those principles that are causally prior and those that are posterior. Aristotle's account of scientific explanation and his own explanations that he developed in accordance with this account are in part the result of his critical encounter with this prescientific Pythagorean table.