The problem of the one and the many is central to ancient Greek philosophy, but surprisingly little attention has been paid to Aristotle's treatment of it in the Metaphysics. The Central Books of the Metaphysics are widely recognised as the most difficult portion of a most difficult work. This title aims to examine the Central Books.

This paper aims to show Hegel’s system to be a self-generating and conceptually closed system and, therefore, an idealism. Many readers have agreed that Hegel intends his logic to be a self-generating, closed system, but they assume that the two branches of Realphilosophie, Nature and Spirit, must involve the application of logical categories to some non-conceptual reality external to them. This paper argues that Nature emerges from logic by the reapplication of the opening logical categories to the final category of (...) logic, Absolute Idea, and that the resulting categories are irreducible bipartite compounds that develop into new categories by characteristic forms of self-relation following, roughly, the sequence in logic from Being through Essence. With the determination of Absolute Idea by Concept, Spirit emerges, and it develops through its own characteristic forms of self-relation until Absolute Idea is self-determined. Hence, Realphilosophie is a rigorous conceptual development that goes beyond logic without introducing anything that is not conceptual. (shrink)

This book is part of a larger study of the problem of the one and the many in Aristotle's Metaphysics. Although this portion can be read and understood on its own, some remarks about the contents of the two sister volumes will be helpful.

This paper addresses a central metaphysical issue that has not been recognized: what kind of entity is a syllogism? I argue that the syllogism cannot be merely a mental entity. Some counterpart must exist in nature. A careful examination of the Posterior Analytics’s distinction between the syllogism of the fact and the syllogism of the reasoned fact shows that we must set aside contemporary logic to appreciate Aristotle’s logic, enables us to understand the validity of the scientific syllogism through its (...) content rather than its form, and explains the priority of the scientific syllogism over other valid syllogisms. The opening chapters of Posterior Analytics II help us to distinguish the entities that scientific syllogism must include as its terms; namely, a genus, an essential nature, and essential attributes of the genus. Often, the attributes are found in closely linked sequences. By exploring why there are such sequences and how they are linked, the paper argues that sequences of genus, nature, and sequential attributes are the basis in nature for the process of reasoning that we call the syllogism: we come to grasp the syllogism over time but the sequences to which it refers exist together in things. So understood, the syllogism, like knowledge of forms and truths, exists in us and in the world. (shrink)

FEW PHILOSOPHERS, NONE APPROACHING HIS STATURE, would agree with Hegel’s claim that we have an ethical duty to marry. More commonly, philosophers sanction marriage as ethically permissible, as Kant does, or even, at least in recent years, reject marriage as ethically illegitimate. Hegel’s view reflects his understanding of the family as a moral institution, that is, an institution in which mere participation is a moral act and, therefore, obligatory. The notion that the family is or, at least, is supposed to (...) be moral has become so deeply ingrained that it may sound perverse to suppose that its morality needs any sort of justification; on the other hand, it is difficult to understand why marriage and family should be obligatory. The first aim of this paper is to answer the question, why does Hegel think that marriage is a moral institution that we have a duty to enter? The issue here is not how to recover or preserve “family values” but why the family has any value at all morally. To refine the issue, I will contrast Hegel’s approach with that of someone who, surprisingly, denies the intrinsic moral value of the family, Aristotle. (shrink)

Heraclitus is famous for affirming contradictions, though most readers do not regard the content of his fragments as contradictory. Examining fragments 1 and 50, this article argues that Heraclitus aims to assert a special class of contradictions, the intrinsic conflict between the content of any universal metaphysical claim and the assertion or reception of that claim. Such contradictions undermine the possibility of metaphysics as a science that knows all things. Second, the article argues that Heraclitus himself embraces this sort of (...) contradiction by making it, as it were, the content of his Logos. Third, the article examines three other solutions to the problem that have been advanced, mostly tacitly, by other philosophers. The article concludes with some steps towards a different way of preserving the possibility of metaphysics. (shrink)

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. (shrink)

By examining Klein’s discussion of the difference between Plato and Aristotle regarding the ontology of number, this article aims to spells out the significanceof that debate both in itself and for the development of the later mathematical sciences. This is accomplished by explicating and expanding Klein’s account of the differences that exist in the understanding of number presented by these two thinkers. It is ultimately argued that Klein’s analysis can be used to show that the transition from the ancient to (...) the modern number concept has some roots in this disagreement between Plato and Aristotle regarding number. This, in turn, sets up that dispute as an essential part of the background to the more general break between ancient and modern conceptuality, the uncovering of whichis Klein’s main concern. (shrink)

By examining Klein’s discussion of the difference between Plato and Aristotle regarding the ontology of number, this article aims to spells out the significanceof that debate both in itself and for the development of the later mathematical sciences. This is accomplished by explicating and expanding Klein’s account of the differences that exist in the understanding of number presented by these two thinkers. It is ultimately argued that Klein’s analysis can be used to show that the transition from the ancient to (...) the modern number concept has some roots in this disagreement between Plato and Aristotle regarding number. This, in turn, sets up that dispute as an essential part of the background to the more general break between ancient and modern conceptuality, the uncovering of whichis Klein’s main concern. (shrink)

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... (shrink)

After showing how Aristotle justifies his doctrines by demonstrating how they resolve one/many problems, the author uses this justification to clarify the doctrines and what is puzzling in them.

Uses the problem of the one and the many as a lens through which to examine the Central Books of Aristotle's Metaphysics.

The last chapter of Spinoza's Theological-Political Treatise (TTP) is a brief for freedom of religion. In our enthusiasm for Spinoza's conclusion it is easy to overlook the blatant contradiction between this thesis and the central claim of the immediately preceding chapter that "right over matters of religion is vested entirely in the sovereign." There Spinoza emphasizes the necessity that there be but one sovereign in the state and the threat that autonomous religious authorities would pose to the authority of this (...) sovereign. This last claim is, in turn, bolstered by his analysis of the deficiencies of the Hebrew state in the chapter before, chapter 18, according to which it was the usurpation of political authority by priests that ultimately undermined the state. In other words, in chapters 18 and 19, Spinoza makes the case for the strict political control of religion only to conclude his treatise by arguing, in chapter 20, that the purpose of the state is, in reality, freedom and that that freedom manifests itself, in part, in freedom of religion. How could this latter not pose exactly the sort of threat to the sovereign and the state that leads Spinoza to insist on the sovereign's absolute control of religion? How can Spinoza insist that religion be both free and controlled by the state? This paper aims to answer this question and, in the process, explains a number of troubling features of the Theological-Political Treatise. (shrink)

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. (shrink)

Loux sets the stage with a discussion of ousia in the Categories. There, he claims, Aristotle maintained that "basic subjects" are ontologically fundamental, and the essence of each such subject is its species. Loux thinks that Aristotle was tacitly committed to the "intersection" of these two, which he terms the "unanalyzability principle": An ousia's falling under its species is a "primitive... fact about it... not susceptible of further ontological analysis".