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)

Scholars of classical philosophy have long disputed whether Aristotle was a dialectical thinker. Most agree that Aristotle contrasts dialectical reasoning with demonstrative reasoning, where the former reasons from generally accepted opinions and the latter reasons from the true and primary. Starting with a grasp on truth, demonstration never relinquishes it. Starting with opinion, how could dialectical reasoning ever reach truth, much less the truth about first principles? Is dialectic then an exercise that reiterates the prejudices of one's times and at (...) best allows one to persuade others by appealing to these prejudices, or is it the royal road to first principles and philosophical wisdom? In From Puzzles to Principles? May Sim gathers experts to argue both these positions and offer a variety of interpretive possibilities. The contributors' thoughtful reflections on the nature and limits of dialectic should play a crucial role in Aristotelian scholarship. (shrink)

Many of the essays have been presented, in early or shorter versions, at various conferences. Annotation copyright by Book News, Inc., Portland, OR.

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)

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? (shrink)

The aim of this paper is to explain how to design and teach a course that meets the special requirements of Freshman Seminar programs by using feature films to examine philosophical themes. Two such courses are discussed. By organizing each course around a theme, the teacher can use the films to illustrate and, sometimes, critique philosophical positions that she elaborates. Discussing the films, the students develop analytical and interpretive skills important for more rigorous philosophy courses as well as for work (...) in other disciplines. (shrink)

Context -- Overview of themes -- Reading the text -- Reception and influence.

This paper argues that Aristotle conceives happiness not primarily as an exercise of virtue in private or with friends, but as the exercise of virtue in governing an ideal state. The best states are knit together so tightly that the interests of one person are the same as the interests of all. Hence, a person who acts for his or her own good must also act for the good of all fellow citizens. It follows that discussions of Aristotle’s altruism and (...) egoism are misconceived. (shrink)

For Aristotle and other Greek thinkers, philosophy is itself a rethinking. There are other branches of knowledge, like medicine and mathematics, that each grasp some particular subject matter. Since philosophy or, as it has come to be called, metaphysics is the highest science, its job is to grasp somehow all the other sciences and all their subjects. If the science of a subject requires a type of thinking proper to the subject, then the science of that science requires a rethinking (...) of this and all other subjects. In this paper I explore some of Aristotle’s modes of rethinking philosophy. I am interested in the connection between rethinking philosophy and the kinds of philosophical principles that emerge from this rethinking. I argue that reflexive principles are implicit in rethinking but that theyare projected onto things for systematic reasons. Because my time is short, my discussion is limited to broad brush strokes, but there are so many textual details and so much that is contentious about them that a broad sketch may be the best way to set out my point. It is plausible to proceed this way because Aristotle’s main themes are often much clearer than the details of his discussions and my argument relies only on the broad lines of his organization. (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)

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 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. (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.

Twice in the Poetics, Aristotle contrasts poetry with history. Whatever its didactic value, the contrast has not seemed to readers of special philosophical interest. The aim of this paper is to show that this contrast is philosophically significant not just for our understanding of tragedy but also for the light it sheds on Aristotle’s overall methodology. I shall show how he uses the method sketched in the Topics to define tragedy and explain why the same method will not define history. (...) In particular, tragedy admits of definition because its parts constitute a unity, and much of the Poetics aims to show how, despite being defined through six distinct parts, tragedy can be one. In contrast, history, though a proper preliminary to poetics and concerned also with human action, does not admit of scientific treatment because it contains no essential unities. Aristotle’s understanding of ‘science’ is used here to explain why any attempt to create a scientific history would turn history into poetry. (shrink)