Aristotle S Modal Syllogistic

Author : Marko Malink
Publisher : Harvard University Press
Page : 384 pages
File Size : 45,5 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 : P. Thom
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 48,8 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 : Richard Patterson
Publisher : Cambridge University Press
Page : 308 pages
File Size : 40,5 Mb
Release : 2002-08-22
Category : Philosophy
ISBN : 0521522331

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Aristotle's Modal Logic by Richard Patterson Pdf

This 1995 book argues that a proper understanding of Aristotle's modal logic requires an appreciation of its connection to the metaphysics.

Author : Storrs McCall
Publisher : Unknown
Page : 126 pages
File Size : 49,9 Mb
Release : 1963
Category : Modality (Logic).
ISBN : UCAL:B3933902

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Aristotle's Modal Syllogisms by Storrs McCall Pdf

Author : Daniel James Vecchio
Publisher : BoD – Books on Demand
Page : 294 pages
File Size : 52,7 Mb
Release : 2022-10-18
Category : Philosophy
ISBN : 9783868385953

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Essence and Necessity by Daniel James Vecchio Pdf

This monograph is a critical and historical account of Aristotelian essentialism and modal logic. In Chapter One, ancient and contemporary interpretations and claims of inconsistency in Aristotle’s modal syllogistic are examined. A more consistent model is developed through attention to Aristotle’s comments on negation. In Chapter Two, proofs for each of the mixed apodictic syllogisms are analyzed and diagrammed. Chapter Three explores how Aristotle’s modal metaphysics fits within the context of the Posterior Analytics. Chapter Four contrasts Aristotelian modal logic to contemporary modal metaphysics and argues for ways in which a return to Aristotle may spark intriguing thought in contemporary discussions of the philosophy of science and in debate over the metaphysics of identity.

Author : Adriane Rini
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 49,5 Mb
Release : 2010-12-13
Category : Philosophy
ISBN : 9789400700505

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Aristotle's Modal Proofs by Adriane Rini Pdf

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 : G. Patzig
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 48,8 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 : Irene Binini
Publisher : BRILL
Page : 334 pages
File Size : 47,7 Mb
Release : 2021-10-11
Category : History
ISBN : 9789004470460

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Possibility and Necessity in the Time of Peter Abelard by Irene Binini Pdf

This book offers a major reassessment of Abelard’s modal logic and theory of modalities, and provides a comprehensive study of the 12th-century context in which his views originated and developed, by analysing many logical sources that are still unedited and mostly unexplored.

Author : Paul Thom
Publisher : Routledge
Page : 204 pages
File Size : 43,5 Mb
Release : 2017-09-08
Category : Philosophy
ISBN : 9781351918527

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Medieval Modal Systems by Paul Thom Pdf

This book explores noteworthy approaches to modal syllogistic adopted by medieval logicians including Abélard, Albert the Great, Avicenna, Averröes, Jean Buridan, Richard Campsall, Robert Kilwardby, and William of Ockham. The book situates these approaches in relation to Aristotle's discussion in the Prior and Posterior Analytics, and other parts of the Organon, but also in relation to the thought of Alexander of Aphrodisias and Boethius on the one hand, and to modern interpretations of the modal syllogistic on the other. Problems explored include: Aristotle's doctrine of modal conversion, the pure and mixed necessity-moods, modal ecthesis, the pure and mixed contingency-moods, and Aristotle's use of counter-examples. Medieval logicians brought various concepts to bear on these problems, including the distinction between per se and per accidens terms, the notion of essential predication, the distinction between ut nunc and simpliciter propositions, the distinction between de dicto and de re modals, and the notion of ampliation. All these are examined in this book.

Author : Mario Mignucci
Publisher : Unknown
Page : 66 pages
File Size : 53,6 Mb
Release : 1972
Category : Philosophy
ISBN : 8884554187

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On a controversial demonstration of Aristotle's modal syllogistic. An enquiry on «Prior Analytics» A 15 by Mario Mignucci Pdf

Author : J. van Rijen
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 45,6 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 : Aryeh Kosman
Publisher : Harvard University Press
Page : 295 pages
File Size : 47,8 Mb
Release : 2013-03-01
Category : Philosophy
ISBN : 9780674075023

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The Activity of Being by Aryeh Kosman Pdf

Understanding “what something is” has long occupied philosophers, and no Western thinker has had more influence on the nature of being than Aristotle. Focusing on a reinterpretation of the concept of energeia as “activity,” Aryeh Kosman reexamines Aristotle’s ontology and some of our most basic assumptions about the great philosopher’s thought.

Author : Jonathan Barnes
Publisher : Cambridge University Press
Page : 436 pages
File Size : 46,6 Mb
Release : 1995-01-27
Category : Philosophy
ISBN : 0521422949

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The Cambridge Companion to Aristotle by Jonathan Barnes Pdf

The most accessible and comprehensive guide to Aristotle currently available.

Author : George Boger
Publisher : College Publications
Page : 446 pages
File Size : 51,6 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 : Borje Byden,Christina Thomsen Thornquist
Publisher : Papers in Mediaeval Studies
Page : 400 pages
File Size : 52,6 Mb
Release : 2017-01-20
Category : Philosophy
ISBN : 0888448287

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The Aristotelian Tradition by Borje Byden,Christina Thomsen Thornquist Pdf

"The twelve chapters of this volume all began their existence as contributions to workshops held between 2009 and 2011 by a Danish-Swedish research network called The Aristotelian Tradition: The reception of Aristotle's works on logic and metaphysics in the Middle Ages, headquartered in Gothenburg and funded by the Bank of Sweden Tercentenary Foundation. Most of them were written by members of the network, some by invited speakers. While the volume amply illustrates the set of scholarly approaches characteristic of the "Copenhagen School of Medieval Philosophy" (notably a strong philological foundation and an interest in ancient as well as medieval and Greek as well as Latin texts), its thematic diversity reflects the network's breadth of interests. What unites the chapters in this respect is simply a concern with different historical manifestations of Aristotelian thought on logical and metaphysical matters. The volume includes studies of texts by, among others, Apuleius, Boethius, Anonymus Aurelianensis III, Michael of Ephesus, Averroes, Anonymus Cantabrigiensis, Nicholas of Paris, Robert Kilwardby, Anonymus O, Thomas Aquinas, William of Ockham, and Francisco Suárez, relating to themes and passages in Aristotle's Categories, On Interpretation, Prior Analytics 1, Posterior Analytics 1, Sophistical Refutations and Metaphysics A and Z. The last two chapters consist of a new edition, with English translation and commentary, of the first part of a fiercely anti-Aristotelian work, which has been described as the starting-point for Renaissance Platonism and Aristotelianism alike: George Gemistos Plethon's On Aristotle's Departures from Plato."--