Aristotles Modal Proofs PDF Download
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Author | : Richard D. McKirahan Jr. |
Publisher | : Princeton University Press |
Total Pages | : 354 |
Release | : 2017-03-14 |
Genre | : Philosophy |
ISBN | : 140088716X |
Download Principles and Proofs Book in PDF, ePub and Kindle
By a thorough study of the Posterior Analytics and related Aristotelian texts, Richard McKirahan reconstructs Aristotle's theory of episteme--science. The Posterior Analytics contains the first extensive treatment of the nature and structure of science in the history of philosophy, and McKirahan's aim is to interpret it sympathetically, following the lead of the text, rather than imposing contemporary frameworks on it. In addition to treating the theory as a whole, the author uses textual and philological as well as philosophical material to interpret many important but difficult individual passages. A number of issues left obscure by the Aristotelian material are settled by reference to Euclid's geometrical practice in the Elements. To justify this use of Euclid, McKirahan makes a comparative analysis of fundamental features of Euclidian geometry with the corresponding elements of Aristotle's theory. Emerging from that discussion is a more precise and more complex picture of the relation between Aristotle's theory and Greek mathematics--a picture of mutual, rather than one-way, dependence. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author | : Adriane Rini |
Publisher | : Springer Science & Business Media |
Total Pages | : 246 |
Release | : 2010-12-13 |
Genre | : Philosophy |
ISBN | : 9400700504 |
Download Aristotle's Modal Proofs Book in PDF, ePub and Kindle
Aristotle’s modal syllogistic is his study of patterns of reasoning about necessity and possibility. Many scholars think the modal syllogistic is incoherent, a ‘realm of darkness’. Others think it is coherent, but devise complicated formal modellings to mimic Aristotle’s results. This volume provides a simple interpretation of Aristotle’s modal syllogistic using standard predicate logic. Rini distinguishes between red terms, such as ‘horse’, ‘plant’ or ‘man’, which name things in virtue of features those things must have, and green terms, such as ‘moving’, which name things in virtue of their non-necessary features. By applying this distinction to the Prior Analytics, Rini shows how traditional interpretive puzzles about the modal syllogistic melt away and the simple structure of Aristotle’s own proofs is revealed. The result is an applied logic which provides needed links between Aristotle’s views of science and logical demonstration. The volume is particularly valuable to researchers and students of the history of logic, Aristotle’s theory of modality, and the philosophy of logic in general.
Author | : Orna Harari |
Publisher | : Springer Science & Business Media |
Total Pages | : 180 |
Release | : 2005-02-15 |
Genre | : Philosophy |
ISBN | : 1402027885 |
Download Knowledge and Demonstration Book in PDF, ePub and Kindle
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.
Author | : Jonathan Lear |
Publisher | : Cambridge University Press |
Total Pages | : 140 |
Release | : 1980-05-08 |
Genre | : Philosophy |
ISBN | : 9780521230315 |
Download Aristotle and Logical Theory Book in PDF, ePub and Kindle
Aristotle was the first and one of the greatest logicians. He not only devised the first system of formal logic, but also raised many fundamental problems in the philosophy of logic. In this book, Dr Lear shows how Aristotle's discussion of logical consequence, validity and proof can contribute to contemporary debates in the philosophy of logic. No background knowledge of Aristotle is assumed.
Author | : G. Patzig |
Publisher | : Springer Science & Business Media |
Total Pages | : 232 |
Release | : 2013-03-09 |
Genre | : Philosophy |
ISBN | : 9401707871 |
Download Aristotle’s Theory of the Syllogism Book in PDF, ePub and Kindle
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.
Author | : W. A. Wallace |
Publisher | : Springer Science & Business Media |
Total Pages | : 413 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9401580405 |
Download Galileo’s Logic of Discovery and Proof Book in PDF, ePub and Kindle
This volume is presented as a companion study to my translation of Galileo's MS 27, Galileo's Logical Treatises, which contains Galileo's appropriated questions on Aristotle's Posterior Analytics - a work only recently transcribed from the Latin autograph. Its purpose is to acquaint an English-reading audience with the teaching in those treatises. This is basically a sixteenth-century logic of discovery and of proof about which little is known in the present day, yet one that arguably guided the most significant research program of the seventeenth century. Despite its historical and systematic importance, the teaching is difficult to explain to the modern reader. Part of the problem stems from the fragmentary nature of the manuscript in which it is preserved, part from the contents of the teaching itself, which requires a considerable propadeutic for its comprehension. A word of explanation is thus required to set out the structure of the volume and to detail the editorial decisions that underlie its organization. Two major manuscript studies have advanced the cause of scholarship on Galileo within the past two decades. The first relates to Galileo's experimental activity at Padua prior to his discoveries with the telescope that led to the publication of his Sidereus nuncius in 1610. Much of this activity has been uncovered by Stillman Drake in analyses of manuscript fragments associated with the composition of Galileo's Two New Sciences, fragments now bound in a codex identified as MS 72 in the collection of Galileiana at the Biblioteca Nazionale Centrale in Florence.
Author | : Allan T. Bäck |
Publisher | : BRILL |
Total Pages | : 360 |
Release | : 2016-06-21 |
Genre | : Philosophy |
ISBN | : 9004321098 |
Download Aristotle's Theory of Predication Book in PDF, ePub and Kindle
This book claims that Aristotle followed an aspect theory of predication. On it statements make a basic assertion of existence that can be more or less qualified. It is claimed that the aspect theory solves many puzzles about Aristotle's philosophy and gives a new unity to his logic and metaphysics. The book considers Aristotle's views on predication relative to Greek philology, Aristotle's philosophical milieu, and the history and philosophy of predication theory. It offers new perspectives on such issues as existential import; the relation of Categories 2 & 4; the place of differentiae and propria; the predication of matter; unnatural predication; and the square of opposition. It ends by comparing Aristotle's theory with current ones.
Author | : Lawrence William Rosenfield |
Publisher | : Walter de Gruyter |
Total Pages | : 153 |
Release | : 2011-12-01 |
Genre | : Philosophy |
ISBN | : 3110813610 |
Download Aristotle and Information Theory Book in PDF, ePub and Kindle
Author | : Z. Bechler |
Publisher | : SUNY Press |
Total Pages | : 298 |
Release | : 1995-01-01 |
Genre | : Philosophy |
ISBN | : 9780791422397 |
Download Aristotle's Theory of Actuality Book in PDF, ePub and Kindle
This is an attack on Aristotle showing that his misplaced drive toward the consistent application of his actualistic ontology (denying the reality of all potential things) resulted in many of his major theses being essentially vacuous.
Author | : Christopher W. Tindale |
Publisher | : Cambridge University Press |
Total Pages | : 257 |
Release | : 2015-04-30 |
Genre | : Language Arts & Disciplines |
ISBN | : 1107101115 |
Download The Philosophy of Argument and Audience Reception Book in PDF, ePub and Kindle
This book approaches the topic of argumentation from the perspective of audiences, rather than the perspective of arguers or arguments.