Aristotle s Theory of the Syllogism

Aristotle's syllogistic can now be defined, more precisely than was done on page 5sq., as the theory of certain relations between terms which satisfy the axioms (1)–(3). What these certain relations are must now be made clear.15 § 4.


Author: G. Patzig

Publisher: Springer Science & Business Media

ISBN: 9789401707879

Category: Philosophy

Page: 215

View: 773

The present book is the English version of a monograph 'Die aristotelische Syllogistik', which first appeared ten years ago in the series of Abhand 1 lungen edited by the Academy of Sciences in Gottingen. In the preface to the English edition, I would first like to express my indebtedness to Mr. J. Barnes, now fellow of Oriel College, Oxford. He not only translated what must have been a difficult text with exemplary precision and ingenuity, but followed critically every argument and check ed every reference. While translating it, he has improved the book. Of those changes which I have made on Mr. Barnes' suggestion I note only the more important ones on pages 4, 12, 24sq, 32, 39, 6lsq, and 158. Since the second edition of the German text appeared in 1963 some further reviews have been published, or come to my notice, which I have 2 been able to make use of in improving the text of this new edition. I must mention here especially the detailed critical discussions of my results and arguments published by Professor W. Wieland in the Philosophische Rundschau 14 (1966), 1-27 and by Professor E. Scheibe in Gnomon 39 (1967), 454-64. Both scholars, while agreeing with the main drift and method of my interpretation, criticise some of my results and disagree with some of my arguments. It would not be possible to discuss these technical matters here with the necessary thoroughness.

Knowledge and Demonstration

This book examines a fundamental problem in Aristotle’s Posterior Analytics: what is the role of syllogistic logic in the theory of demonstrative knowledge?


Author: Orna Harari

Publisher: Springer Science & Business Media

ISBN: 9781402027888

Category: Philosophy

Page: 162

View: 908

This study explores the theoretical relationship between Aristotle’s theory of syllogism and his conception of demonstrative knowledge. More specifically, I consider why Aristotle’s theory of demonstration presupposes his theory of syllogism. In reconsidering the relationship between Aristotle’s two Analytics, I modify this widely discussed question. The problem of the relationship between Aristotle’s logic and his theory of proof is commonly approached from the standpoint of whether the theory of demonstration presupposes the theory of syllogism. By contrast, I assume the theoretical relationship between these two theories from the start. This assumption is based on much explicit textual evidence indicating that Aristotle considers the theory of demonstration a branch of the theory of syllogism. I see no textual reasons for doubting the theoretical relationship between Aristotle’s two Analytics so I attempt to uncover here the common theoretical assumptions that relate the syllogistic form of reasoning to the cognitive state (i. e. , knowledge), which is attained through syllogistic inferences. This modification of the traditional approach reflects the wider objective of this essay. Unlike the traditional interpretation, which views the Posterior Analytics in light of scientific practice, this study aims to lay the foundation for a comprehensive interpretation of the Posterior Analytics, considering this work from a metaphysical perspective. One of my major assertions is that Aristotle’s conception of substance is essential for a grasp of his theory of demonstration in general, and of the role of syllogistic logic in particular.

Aristotle s Modal Syllogistic

Aristotle's Modal Logic: Essence and Entailment in the Organon. Cambridge: Cambridge University Press. Patzig, G. (1959). “Aristotle and Syllogisms from False Premisses.” Mind 68, 186G92. i (1968). Aristotle's Theory of the Syllogism, ...


Author: Marko Malink

Publisher: Harvard University Press

ISBN: 9780674726352

Category: Philosophy

Page: 384

View: 634

Aristotle was the founder not only of logic but also of modal logic. In the Prior Analytics he developed a complex system of modal syllogistic which, while influential, has been disputed since antiquity--and is today widely regarded as incoherent. Combining analytic rigor with keen sensitivity to historical context, Marko Malink makes clear that the modal syllogistic forms a consistent, integrated system of logic, one that is closely related to other areas of Aristotle's philosophy. Aristotle's modal syllogistic differs significantly from modern modal logic. Malink considers the key to understanding the Aristotelian version to be the notion of predication discussed in the Topics--specifically, its theory of predicables (definition, genus, differentia, proprium, and accident) and the ten categories (substance, quantity, quality, and so on). The predicables introduce a distinction between essential and nonessential predication. In contrast, the categories distinguish between substantial and nonsubstantial predication. Malink builds on these insights in developing a semantics for Aristotle's modal propositions, one that verifies the ancient philosopher's claims of the validity and invalidity of modal inferences. While it acknowledges some limitations of this reconstruction, Aristotle's Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts.

Critical Approaches to Science and Philosophy

2] In summary, I think it fair to say that no other part of Aristotle's logic has encountered as much criticism, opposition, and even hostility as has greeted his theory of modal syllogisms throughout the two-and-a-third millennia of ...


Author: Mario Bunge

Publisher: Routledge

ISBN: 9781351313063

Category: Philosophy

Page: 481

View: 337

This collection of essays, written on four continents by scientists, philosophers and humanists, was initially presented to Karl R. Popper on his sixtieth birthday as a token of critical admiration and in recognition of his work. But the volume also stands on its own as a remarkable series of statements utilizing Popper's critical vision in the study of philosophy proper, logic, mathematics, science as method and theory, and finally to the study of society and history. What is remarkable is that Popper worked in all of these areas, not in a cursory or discursive way, but with the utmost clarity and rigor. . The core position of this volume and its contributors is that the progress of knowledge is not a linear accumulation of definitive acquisitions but a zigzagging process in which counterexamples and unfavorable evidence ruin generalizations and prompt the invention of more comprehensive and sometimes deeper generalizations, to be criticized in their turn. A critical approach to problems, procedures, and results in every field of inquiry is therefore a necessary condition for the continuance of progress. The title of this volume then is, in a sense, an homage to Popper's critical rationalism and critical empiricism. The essays are a tribute to his unceasing and uncompromising quest, not for final certainty, but for closer truth and increased clarity. Among the contributors are outstanding figures in philosophy and the exact sciences in their own right, including Herbert Feigl, R. M. Hare, J.O. Wisdom, Nicholas Rescher, David Bohm, Paul K. Feyerabend, F. A. Hayek, and Adolf Grunbaum. Social science contributions include Hans Albert on social science and moral philosophy, W. B. Gallie, on the critical philosophy of history, Pieter Geyl on The Open Society and its Enemies, and George H. Nadel on the philosophy of History.

Essays in Philosophical Analysis

major criticism of Aristotle and adds some others ([1949], pp. ... 37-43) charges Aristotle's theory of modal syllogisms with using two diverse and mutually incompatible constructions of modal categorical propositions.


Author: Nicholas Rescher

Publisher: University of Pittsburgh Pre

ISBN: 9780822975762

Category: Philosophy

Page: 440

View: 775

This book presents twenty essays by Nicholas Rescher, representing more than a decade of his work. The first part of the collection offers thoughts on the history of philosophy from the Presocratics to the twentieth century; the second part features essays on epistemology, the philosophy of science, metaphysics, the theory of historiography, and the logic of temporal concepts. Despite the range of topics, all essays are closely integrated at the methodological level.

Landmark Essays on Aristotelian Rhetoric

In building his theory of rhetoric around the syllogism despite the problems involved in deductive inference Aristotle stresses the fact that rhetorical discourse is discourse directed toward knowing, toward truth not trickery.


Author: Richard Leo Enos

Publisher: Routledge

ISBN: 9781000150094

Category: Language Arts & Disciplines

Page: 280

View: 377

There is little doubt that Aristotle's Rhetoric has made a major impact on rhetoric and composition studies. This impact has not only been chronicled throughout the history of rhetoric, but has more recently been contested as contemporary rhetoricians reexamine Aristotelian rhetoric and its potential for facilitating contemporary oral and written expression. This volume contains the full text of Father William Grimaldi's monograph studies in the philosophy of Aristotle's Rhetoric. The eight essays presented here are divided into three rubrics: history and philosophical orientation, theoretical perspectives, and historical impact. This collection provides teachers and students with major works on Aristotelian rhetoric that are difficult to acquire and offers readers an opportunity to become active participants in today's deliberations about the merits of Aristotelian rhetoric for contemporary teaching and research.