WE must first state the subject of our inquiry and the faculty to which it belongs: its subject is demonstration and the faculty that carries it out demonstrative science.

them. Though Aristotle does not say so, presumably the questioner who conceals in this way must be prepared, when challenged, to show that the conclusion...

In 1928, Friedrich Solmsen argued that Aristotle'sPosterior Analyticswas largely composed before thePrior Analytics. Ross rejected Solmsen's position in 1939, and a rather lengthy series of rebuttals and counter-attacks between the two scholars followed. Quite recently, Jonathan Barnes has revived this issue with arguments in favour of something very close to Solmsen's thesis: that Aristotle first developed a theory of demonstration (‘apodeictic’) before he had worked out the syllogistic, and that thePosterior Analyticswas originally conceived against this background. Subsequently, when (...) Aristotle formulated a syllogistic, he is supposed by Barnes to have revised or added to the contents of thePosterior Analyticsso as to make syllogistic the logic of Aristotelian science. Thus, Barnes says: ‘the syllogism is in fact an incidental adjunct to the theory of demonstration: the theory can be formulated without reference, explicit or implicit, to Syllogistic, and itcould havebeen discovered by someone who knew nothing whatever about the Syllogism’ (pp. 33–4). (shrink)

This chapter contains sections titled: Necessity and Predication “Through Itself” Demonstrations, Universals, and the Objects of Scientific Knowledge The Route to the Principles Axioms, Common Principles, and Self‐evidence Demonstration and Analysis Bibliography.

The Routledge Companion to Metaphysics is an outstanding, comprehensive and accessible guide to the major themes, thinkers, and issues in metaphysics. The Companion features over fifty specially commissioned chapters from international scholars which are organized into three clear parts: History of Metaphysics Ontology Metaphysics and Science. Each section features an introduction which places the range of essays in context, while an extensive glossary allows easy reference to key terms and definitions. The Routledge Companion to Metaphysics is essential reading for students (...) of philosophy and anyone interested in surveying the central topics and problems in metaphysics from causation to vagueness and from Plato and Aristotle to the present-day. (shrink)

I consider the proper interpretation of the process of ecthesis which Aristotle uses several times in the Prior analytics for completing a syllogistic mood, i.e., showing how to produce a deduction of a conclusion of a certain form from premisses of certain forms. I consider two interpretations of the process which have been advocated by recent scholars and show that one seems better suited to most passages while the other best fits a single remaining passage. I also argue that (...) ecthesis for Aristotle really means ?setting out? the case to be proved using letters. Aristotle?s remarks about the use of letters in mathematical proofs suggest that he had some understanding of rules equivalent to universal generalization and existential instantiation; the ?proofs through ecthesis? are so called because they rest on the latter rule, with which use of letters is involved in a special way. (shrink)

In his 1961 paper "Tithenai ta Phainomena",1 G. E. L. Owen addressed the problem of the relationship between science as preached in the Analytics and the practice of the Aristotelian treatises. However, he gave this venerable crux a novel twist by focusing on a different aspect of the issue. According to the Prior Analytics , it appears that the first premises of scientific demonstrations must be obtained from collections (historiai) of facts derived from empirical observation. However, many of the treatises (...) seem to make little use of empirical inquiry and instead concern themselves more with 'conceptual analysis.' This is especially true in the Metaphysics and the ethical treatises, but it is also very much characteristic of the Physics. How are these two kinds of inquiry related? (shrink)

At the beginning of the Posterior Analytics, Aristotle says that “all learning and all rational teaching arises from previously existing knowledge”. How, then, can we have any knowledge? If all our knowledge is acquired by learning that depends on previously existing knowledge, then we would have an infinite regress of still prior knowledge, with the result that we cannot learn anything without having learned something else first. If we reject this possibility, then the only one that remains is that (...) we have some knowledge that we did not learn. This might happen in two ways: either we have some knowledge that we never acquired at all, or we have some knowledge that we acquired but without learning it. We would have knowledge that we never acquired if there was never a time at which we did not have it (which would entail, of course, that we were born with it). Plato held that we do have such knowledge, and indeed that all the genuine knowledge that we have is innate in this way. Aristotle, however, denies that we have innate knowledge (for instance at An. Post. II.19, 100a10). Since he nevertheless does think that we have knowledge, he must think that we have some knowledge which we did not acquire by learning. In fact, he does present such a view in Posterior Analytics II.19, where he claims that our knowledge of the principles ( ¢¡¤£¦¥¨§ ) of sciences comes to us through perception and induction and that the state of knowledge of them is “intelligence” or “thought” ( © ). Aristotle says explicitly that in this process the mind is passive; therefore, it is reasonable for us to regard it as not being a kind of learning (or at any rate as a kind of rational learning). Thus, Aristotle’s overall position is consistent. (shrink)

This paper examines the sophistic practice of antilogikê or antilogic, which consists in, as G. B. Kerferd described, “causing the same thing to be seen by the same people now as possessing one predicate and now as possessing the opposite or contradictory predicate.” Although, since Plato, antilogic has been cast in a cloud of suspicion, understood primarily as the dubious practice of making the weaker argument stronger, I explore a contrary interpretation that antilogic was a technique for pursuing the suspension (...) of judgment, or epochê. In this paper, I define the practice of antilogic through the tale of Corax and Tisias and the surviving fragments of Protagoras and Gorgias. In so doing, I hypothesize that antilogic was a method for averting the natural tendency of language to assign stability and durability to being. Through the perpetual displacement of one logos by another, antilogic grants thought access to the ceaseless flux and becoming of nature. As it barred language from assigning stability to being, so too did it provide a “way out” of the inexorable human drive captured in the opening line of Aristotle’s Metaphysics: “All humans naturally desire to know.”. (shrink)

Modern interpreters have often regarded Aristotle’s Posterior Analytics as a mystery, or even a bit of an embarrassment. In his treatises on natural science and ethics, Aristotle is constantly concerned to review the opinions of his predecessors and of people in general; where appropriate, he also takes note of experiential observations, some of them highly specialized. However, the traditional view of the Posterior Analytics is that it advances an almost Cartesian picture of sciences as deductive systems founded on (...) intuitively evident first premises. How are these to be reconciled? (shrink)

Human well-being is a core global issue and a challenge for individual citizens, governments, and intemational organizations world-wide. It is a future-oriented concept that cannot be narrowly defined. In this paper, it is argued that retrieving the wisdom of Aristotle provides a thmking way forward. His is a philosophy that can be meaningfully directed and usefully applied across multiple dimensions to our current world, its state of being, and the pursuit of human, psychological, and ecological well-bemg.

Aristotle said that philosophy begins with wonder, and the first Western philosophers developed theories of the world which express simultaneously their sense of wonder and their intuition that the world should be comprehensible. But their enterprise was by no means limited to this proto-scientific task. Through, for instance, Heraclitus' enigmatic sayings, the poetry of Parmenides and Empedocles, and Zeno's paradoxes, the Western world was introduced to metaphysics, rationalist theology, ethics, and logic, by thinkers who often seem to be mystics (...) or shamans as much as philosophers or scientists in the modern mould. And out of the Sophists' reflections on human beings and their place in the world arose and interest in language, and in political, moral, and social philosophy. This volume contains a translation of all the most important fragments of the Presocratics and Sophists, and of the most informative testimonia from ancient sources, supplemented by lucid commentary. (shrink)

Philosophers have often debated the truth of microstructural essentialism about chemical substances: whether or not the structure of a chemical substance at the molecular scale is what makes it the substance it is. Oddly they have tended to pursue this debate without identifying what a structure is, and with some confusion and about what a chemical substance is. In this paper I draw on chemistry to rectify those omissions, providing a pluralist account of structure, clarifying what (according to chemistry) a (...) chemical substance is and defending microstructural essentialism, as I understand that position. I then give an account of the existence of composite substances and objects in chemistry, an issue that goes back to Aristotle. (shrink)

Excerpt from La Théorie Platonicienne des Idées Et des Nombres d'Après Aristote: Étude Historique Et Critique La théorie phtonioionno de l'amour. Vol. Ia-8 de la Collection historique des grands philosophes 3 fr. 75. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the (...) aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

This chapter contains sections titled: The Origins: Parmenides and Zeno Dialectic and the Beginnings of Logical Theory Aristotle and the Theory of Demonstration The Regress Argument of Posterior Analytics I.3 Time and Modality: The Sea‐Battle and the Master Argument Sentential Logic in Aristotle and Afterwards.

The first philosophers paved the way for the work of Plato and Aristotle - and hence for the whole of Western thought. Aristotle said that philosophy begins with wonder, and the first Western philosophers developed theories of the world which express simultaneously their sense of wonder and their intuition that the world should be comprehensible. But their enterprise was by no means limited to this proto-scientific task. Through, for instance, Heraclitus' enigmatic sayings, the poetry of Parmenides and Empedocles, (...) and Zeno's paradoxes, the Western world was introduced to metaphysics, rationalist theology, ethics, and logic, by thinkers who often seem to be mystics or shamans as much as philosophers or scientists in the modern mould. And out of the Sophists' reflections on human beings and their place in the world arose and interest in language, and in political, moral, and social philosophy. This volume contains a translation of all the most important fragments of the Presocratics and Sophists, and of the most informative testimonia from ancient sources, supplemented by lucid commentary. (shrink)

Photographs, paintings, rigid sculptures: all these provide examples of static images. It is true that they change—photographs fade, paintings darken and sculptures crumble—but what change they undergo is irrelevant to their representational content. A static image is one that represents by virtue of properties which remain largely unchanged throughout its existence. Because of this defining feature, according to a long tradition in aesthetics, a static image can only represent an instantaneous moment, or to be more exact the state of affairs (...) obtaining at that moment'. It cannot represent movement and the passage of time. This traditional view mirrors a much older one in metaphysics: that change is to be conceived of as a series of instantaneous states and hence that an interval of time is composed of extensionless moments. The metaphysical view has been involved in more controversy than its aesthetic counterpart. Aristotle identified it as one of the premises of Zeno's arrow paradox and Augustine employed it in his proof of the unreality of time. (shrink)

Photographs, paintings, rigid sculptures: all these provide examples of static images. It is true that they change—photographs fade, paintings darken and sculptures crumble—but what change they undergo is irrelevant to their representational content. A static image is one that represents by virtue of properties which remain largely unchanged throughout its existence. Because of this defining feature, according to a long tradition in aesthetics, a static image can only represent an instantaneous moment, or to be more exact the state of affairs (...) obtaining at that moment'. It cannot represent movement and the passage of time. This traditional view mirrors a much older one in metaphysics: that change is to be conceived of as a series of instantaneous states and hence that an interval of time is composed of extensionless moments. The metaphysical view has been involved in more controversy than its aesthetic counterpart. Aristotle identified it as one of the premises of Zeno's arrow paradox and Augustine employed it in his proof of the unreality of time. (shrink)

The relations of philosophy and poetry include but are not exhausted by Plato’s hostility to mimetic poetry in the Republic and Aristotle’s defence of it in the Poetics. For poetry has often carried a philosophical message itself, from the work of Chaucer and Milton to that of T.S. Eliot. In yet earlier generations, poetry was chosen as the medium for conveying a philosophical message by (among Greek philosophers) Xenophanes, Parmenides and Empedocles, and (at Rome) by Lucretius, who struggled both (...) with the Latin language and with the standard metre of didactic poetry, hexameters, to spread what he considered enlightenment and to reach for his Epicureanism an audience that might otherwise have remained unreached. To the extent that poets such as Lucretius succeeded, the philosophical critics of poetry in the tradition of Plato would have to recognise merit in some mimetic poetry. (Thus Lucretius compares clouds of atoms to flocks of sheep, which he graphically depicts.) Yet a defence of poetry other than Aristotelian katharsis would be needed for works such as those of Empedocles and Lucretius. Perhaps Enlightenment can be conveyed equally well in verse as in prose, mimetic components notwithstanding; for some purposes perhaps itcan be conveyed uniquely well. De nihilo nil fit, to quote Lucretius, comprises an example. (shrink)

I argue that Prior analyticsII.5?7, 8?10, and 1.45 actually contain studies of processes for transforming arguments into other arguments which Aristotle carried out before having completed the theory of perfecting syllogisms by reduction to first-figure moods as presented in Prior analytics1.4?7. This position rejects Ross's opinion that these passages are ?mental gymnastics?, and Patzig's view that some of these texts contain studies of alternative axiomatizations or other logical studies posterior to the completion of the basic theory of syllogisms.