Edward Halper

This paper uses self-relation to reconstruct Hegel's reasoning in the Logic. In the sphere of "being," selfrelation is self-predication, and the predicate is the active, participial form of the category. Examining the first three and the last category in this sphere, I explain how Hegel argues that each category is itself engaged in the activity that it signifies. However, this self-predication adds new content to the category transforming it into a new category. Ultimately, this process leads to the collapse of "being" into "essence." Categories in this later sphere exhibit a different kind of self-relation : each contains its relation to itself as an activity that negates itself and then, negating this negation, returns to itself. Hegel's analysis at the beginning of "essence" is, I argue, parallel to Kant's "Transcendental Deduction," but relations among categories replace the transcendental ego. The significance of self-relation is that it (1) effects transitions to new categories by an internal mechanism, thereby (2) allowing the Logic to be a self-exposition of the categories that (3) avoids an external (Kantian) transcendental ground.

Pangle’s thesis is that Aristotle’s account of friendship in Nicomachean Ethics 8 and 9 addresses multiple audiences. For his ostensible audience, statesmen and other men of action, Aristotle paints an enticing picture of friendship that is based on moral virtue and issues in acts of benevolence. However, he embeds within this analysis subtle “tensions” designed to signal to thoughtful readers the limits of moral virtue and so to provoke them to pursue a philosophical life as well as to provide them the material for philosophical contemplation. Pangle thinks that this second group, potential philosophers, is Aristotle’s principal audience, even if unannounced.

This paper explores two issues: (1) how our thought about nature could reflect natural processes, and (2) how our thoughts about nature are connected with each other. It argues, first, that the standard ways philosophers try to make sense of the notion that thought is separate from nature cannot be made intelligible and, second, that the conceptual schemes used to grasp nature fall broadly into two groups each of which presupposes the other, even though the two are incompatible. Although these conclusions pose obstacles to the rationality of nature, the paper concludes by arguing for some significant degree of rationality of nature and explaining what this means for science. In brief, our ability to have an experience of nature and, especially, to connect disparate features of that experience with each other presupposes some intrinsic connections within nature itself, even if these are inaccessible to us.

In the first lines of Metaphysics 3, Aristotle argues that any progress in this discipline hinges on carefully working through the problems peculiar to it, the metaphysical aporiai; and he devotes all of book 3 to drawing up these problems. Despite this warning, book 3 and its doublet, book 11.1–2, have received relatively little attention. Many of the problems Aristotle sets out here are not addressed explicitly elsewhere in the Metaphysics, their discussion in book 3 is inconclusive, and most seem today of little intrinsic interest on their own. Book 3 has often been read as a merely historical record of that stage in his development when Aristotle personally struggled with Platonism, other philosophies, or his own earlier philosophy. Since there is no detailed and thorough study of book 3 in the recent literature, Madigan’s contribution is sorely needed and a worthy addition to the Clarendon Aristotle series. Like other volumes in the series, this one includes a literal translation followed by a line by line commentary that aims to explore different construals of Aristotle’s arguments and a glossary. Madigan also provides a few pages of textual notes that, unlike the rest of the book, presuppose some knowledge of Greek. A lengthy introduction does a good job of connecting book 3 to the rest of the Metaphysics. Book 11 receives relatively little attention—three pages in the introduction, six in the commentary. Madigan divides the text by aporia, he works through each argument that falls under each aporia, emphasizing in the process Aristotle’s frequent shifts in focus and assumption; Madigan tries to trace the origin of the various assumptions; and he concludes his discussion of each aporia by explaining where and how Aristotle solves it. Additionally, Madigan groups some of book 3’s aporiai and provides, either for the group or each nongrouped aporia, an introduction and an epilogue that lists the premises mentioned explicitly in each aporia along with a statement of whether or not Aristotle continued to accept each or how his view changed. Madigan counts 124 such premises in the whole of book 3. His conclusion is that “working through the aporiai of book 3 would heighten one’s awareness of the difficulties of the issues, but book 3 does not state in so many words what the ‘knots’ in our thinking are, much less how to untie them”.

ABSTRACT In Greek Mathematical Thought and the Origin of Algebra, Jacob Klein contrasts ancient Greek philosophy's direct engagement with things through arithmetic with the ancient science of numeric calculation, logistic. By chronicling the later development of logistic, by means of increasing symbolization, ultimately into algebra, he argues that logistic has come to displace arithmetic and, thereby, to submerge the ontological issues at the center of Greek thought. This article argues, first, that Klein's target is Ernst Cassirer's notion of number as a “symbolic function”—what Cassirer would later call “symbolic form.” In Substance and Function Cassirer argues that number constitutes a conceptual structure progressively extended by thought so as to include the results of different sorts of calculation (e.g., negative numbers, irrational roots, and infinite numbers) within itself and, thereby, to be a closed system. Drawing upon Dedekind, Cassirer claims that no individual number can be understood apart from the entire conceptual structure. This article argues, second, that Cassirer recognizes, as it were, a different set of things, namely, relations, and that it is possible to engage these “things” directly by recognizing the ontological issues they raise.

IT IS well-known that Plato and Aristotle disagree on the possibility of knowledge of nature. Plato maintains that knowledge, in contrast with belief, is never mistaken, that the objects of knowledge are always the same and never becoming, and that what we sense is always becoming. He concludes that knowledge is possible only of objects that are unchanging and separate from sensibles, i.e., the forms. Aristotle rejects this conclusion and recognizes knowledge of sensibles. Surprisingly, though, he accepts Plato's assumptions. He too maintains that knowledge is not sometimes true and sometimes false, but always true ; he distinguishes the sensibles from the unchanging eternal beings ; and he asserts that the objects of knowledge "always are or are for the most part", and occasionally he even claims that they cannot be otherwise. The problem is, how can Aristotle accept Plato's assumptions about the nature and objects of knowledge and still maintain that knowledge of nature is possible?

Maimonides’ claim, in Guide of the Perplexed I.68, that our intellect, like God’s, becomes one with the object it knows would seem to be at odds with his injunction to his readers to set their “thought to work on the first intelligible” and to “rejoice in what [it] apprehends”. The former passage supposes that we grasp individual essences by themselves, whereas the latter supposes that such essences are known only through their first cause. Since we cannot grasp the first cause, God, we cannot, apparently, grasp anything else or rejoice in it. After briefly sketching the solutions of Aristotle and Avicenna, this paper argues that Maimonides resolves these issues by distinguishing the metaphysical grasp of a single essence from the grasp of its relations - due to God’s will - with other essences and, more specifically, the metaphysical grasp of our own human essence from the grasp of ourselves through our physical and moral relations with the world. Insofar as we know ourselves by knowing everythi...

Drawing principally on the Symposium, this paper argues that humor in Plato’s dialogues serves two serious purposes. First, Plato uses puns and other devices to disarm the reader’s defenses and thereby allow her to consider philosophical ideas that she would otherwise dismiss. Second, insofar as human beings can only be understood through unchanging forms that we fail to attain, our lives are discontinuous and only partly intelligible. Since, though, the discontinuity between expectation and actual occurrence is the basis for humor, Plato can use humor to express who we are as human beings.