Aristotle S Modal Syllogisms

Author : G. Patzig
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 45,9 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401707879

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Aristotle’s Theory of the Syllogism by G. Patzig Pdf

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 : Marko Malink
Publisher : Harvard University Press
Page : 384 pages
File Size : 50,9 Mb
Release : 2013-11-01
Category : Philosophy
ISBN : 9780674727540

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Aristotle's Modal Syllogistic by Marko Malink Pdf

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.

Author : George Boger
Publisher : College Publications
Page : 446 pages
File Size : 50,8 Mb
Release : 2022-05-05
Category : Philosophy
ISBN : 1848904029

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Aristotle's Syllogistic Underlying Logic. His Model with His Proofs of Soundness and Completeness by George Boger Pdf

Aristotle's Syllogistic Underlying Logic is a ground- breaking and thorough study of Aristotle's logic, including a new translation of select chapters of Prior Analytics that treat the logic's formal components. This study shows that Aristotle consciously modeled his Underlying Logic, that Prior Analytics is a metasystematic discourse with its own underlying logic. The author clearly demonstrates that Aristotle conceived his logic as natural by explicating his notion of human cognition, central to which is his epistemic concern with syllogistic mediation that restricts a syllogism to two premises. The study further represents Aristotle's philosophy of logic as having a fully developed ontology that underlies the epistemics of syllogistic argumentation. It identifies his distinctions between syntax and semantics and provides his definitions of logical consequence and deducibility to demonstrate his metasystematic sophistication. The study carefully sets out Aristotle's metasystematic analyses and his proof-theoretic demonstrations of the logic's soundness and completeness. Unlike previous scholarship, this study works with the entire corpus of the Organon - inclusive of On Expression, Predications, Topics, Sophistical Refutations and chapters of Metaphysics - to assemble Aristotle's underlying logic in Aristotle's own words with extensive citation of primary texts. The translations are accompanied by the original Greek texts that serve as a ready resource for comparative analyses. For the translation of Prior Analytics, the Greek text and the translation appear on facing pages. The author includes a set of principles used for making the translation. An especially innovative feature of the new translation is to block passages of the text and to insert subsection titles that help (1) to elucidate Aristotle's meaning, (2) to indicate the movement of his thinking, and (3) to reveal the careful and systematic character of his logical investigations. The reader will find, in one volume, a thorough and meticulous examination of the full compass of Aristotle's logical investigations that establish him as the founder of formal logic.

Author : William T. Parry,Edward A. Hacker
Publisher : State University of New York Press
Page : 560 pages
File Size : 45,7 Mb
Release : 1991-09-03
Category : Philosophy
ISBN : 9781438415574

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Aristotelian Logic by William T. Parry,Edward A. Hacker Pdf

This book provides detailed treatment of topics in traditional logic: the theory of terms; the theory of definition; the informal fallacies; and division and classification. Aristotelian Logic teaches techniques for solving semantic problems — problems caused by confusion over terminology. It teaches the theory of definition — the different kinds of definition and the criteria by which each is judged. It also teaches that definitions are like tools in that some are better suited for a particular task than others. Several chapters are devoted to informal fallacies. A new classification is given for them, and the concept of proof is presented, without which some of the traditional informal fallacies cannot be explained adequately. Another chapter is devoted to division and classification, which occurs in all of the sciences. Other topics covered include the square of opposition, immediate inferences, and the syllogistic and chain arguments.

Author : P. Thom
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789400916630

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The Logic of Essentialism by P. Thom Pdf

Aristotle's modal syllogistic has been an object of study ever since the time of Theophrastus; but these studies (apart from an intense flowering in the Middle Ages) have been somewhat desultory. Remarkably, in the 1990s several new lines of research have appeared, with series of original publications by Fred Johnson, Richard Patterson and Ulrich Nortmann. Johnson presented for the first time a formal semantics adequate to a de re reading of the apodeictic syllogistic; this was based on a simple intuition linking the modal syllogistic to Aristotelian metaphysics. Nortmann developed an ingenious de dicto analysis. Patterson articulated the links (both theoretical and genetic) between the modal syllogistic and the metaphysics, using an analysis which strictly speaking is neither de re nor de dicto. My own studies in this field date from 1976, when my colleague Peter Roeper and I jointly wrote a paper "Aristotle's apodeictic syllogisms" for the XXIInd History of Logic Conference in Krakow. This paper contained the disjunctive reading of particular affirmative apodeictic propositions, which I still favour. Nonetheless, I did not consider that paper's results decisive or comprehensive enough to publish, and my 1981 book The Syllogism contained no treatment of the modal syllogism. The paper's ideas lay dormant till 1989, when I read Johnson's and Patterson's initial articles. I began publishing on the topic in 1991. Gradually my thoughts acquired a certain comprehensiveness and systematicity, till in 1993 I was able to take a semester's sabbatical to write up a draft of this book.

Author : Orna Harari
Publisher : Springer Science & Business Media
Page : 162 pages
File Size : 43,5 Mb
Release : 2005-02-15
Category : Philosophy
ISBN : 9781402027888

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Knowledge and Demonstration by Orna Harari Pdf

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 : Paul Thom
Publisher : Unknown
Page : 320 pages
File Size : 42,6 Mb
Release : 1981
Category : Syllogism
ISBN : UCAL:B4396281

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The Syllogism by Paul Thom Pdf

Author : Lukas M. Verburgt,Matteo Cosci
Publisher : Bloomsbury Publishing
Page : 321 pages
File Size : 47,8 Mb
Release : 2023-01-26
Category : Philosophy
ISBN : 9781350228856

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Aristotle's Syllogism and the Creation of Modern Logic by Lukas M. Verburgt,Matteo Cosci Pdf

Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.

Author : Marco Sgarbi,Matteo Cosci
Publisher : Bloomsbury Publishing
Page : 232 pages
File Size : 52,9 Mb
Release : 2018-01-25
Category : Philosophy
ISBN : 9781350043534

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The Aftermath of Syllogism by Marco Sgarbi,Matteo Cosci Pdf

Syllogism is a form of logical argument allowing one to deduce a consistent conclusion based on a pair of premises having a common term. Although Aristotle was the first to conceive and develop this way of reasoning, he left open a lot of conceptual space for further modifications, improvements and systematizations with regards to his original syllogistic theory. From its creation until modern times, syllogism has remained a powerful and compelling device of deduction and argument, used by a variety of figures and assuming a variety of forms throughout history. The Aftermath of Syllogism investigates the key developments in the history of this peculiar pattern of inference, from Avicenna to Hegel. Taking as its focus the longue durée of development between the Middle Ages and the nineteenth century, this book looks at the huge reworking scientific syllogism underwent over the centuries, as some of the finest philosophical minds brought it to an unprecedented height of logical sharpness and sophistication. Bringing together a group of major international experts in the Aristotelian tradition, The Aftermath of Syllogism provides a detailed, up to date and critical evaluation of the history of syllogistic deduction.

Author : J. van Rijen
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789400926516

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Aspects of Aristotle’s Logic of Modalities by J. van Rijen Pdf

Author : Storrs McCall
Publisher : Unknown
Page : 126 pages
File Size : 49,8 Mb
Release : 1963
Category : Modality (Logic).
ISBN : UCAL:B3933902

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Aristotle's Modal Syllogisms by Storrs McCall Pdf

Author : Augustus De Morgan
Publisher : Routledge
Page : 386 pages
File Size : 54,9 Mb
Release : 2019-09-17
Category : Philosophy
ISBN : 9780429514821

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On the Syllogism by Augustus De Morgan Pdf

Originally published in 1966 On the Syllogism and Other Logical Writings assembles for the first time the five celebrated memoirs of Augustus De Morgan on the syllogism. These are collected together with the more condensed accounts of his researches given in his Syllabus of a Proposed System of Logic an article on Logic contributed to the English Cyclopaedia. De Morgan was among the most distinguished of nineteenth century British mathematicians but is chiefly remembered today as one of the founders of modern mathematical logic. His writings on this subject have been little read, however since apart from his Formal Logic, they lie buried for the most part in inaccessible periodicals. De Morgan’s own later amendments are inserted in the text and the editorial introduction gives a summary of the whole and traces in some detail the course of the once-famous feud with Sir William Hamilton of Edinburgh.

Author : Günther Patzig
Publisher : Springer
Page : 236 pages
File Size : 44,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 940170788X

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Aristotle's theory of the syllogism by Günther Patzig Pdf

Author : Francesca Alesse
Publisher : BRILL
Page : 285 pages
File Size : 51,8 Mb
Release : 2018-10-22
Category : Philosophy
ISBN : 9789004385399

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Aristotle on Prescription by Francesca Alesse Pdf

Aristotle on Prescription explores Aristotle’s deep reflections on rule-making as a process that is both distinct from that of particular deliberation and decision-making and fundamental to it, operating at the level both of the individual and of society as a whole.

Author : George Englebretsen
Publisher : Unknown
Page : 132 pages
File Size : 50,6 Mb
Release : 1981
Category : Logic
ISBN : UCAL:B4351386

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Three Logicians by George Englebretsen Pdf