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Aristotle’s Modal Syllogistic

Author: Marko Malink

Publisher: Harvard University Press

Published: 2013-11-01

Total Pages: 250

ISBN-13: 0674727541

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. In this meticulously argued new study, Marko Malink presents a major reinterpretation of Aristotle’s modal syllogistic. Combining analytic rigor with keen sensitivity to historical context, he 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. Malink recognizes some limitations of this reconstruction, acknowledging that his proof of syllogistic consistency depends on introducing certain complexities that Aristotle could not have predicted. Nonetheless, Aristotle’s Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts, and offers a fresh perspective on the origins of modal logic.

Aristotle’s Theory of the Syllogism

Author: G. Patzig

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 232

ISBN-13: 9401707871

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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.

The Aftermath of Syllogism

Author: Marco Sgarbi

Publisher: Bloomsbury Publishing

Published: 2018-01-25

Total Pages: 233

ISBN-13: 1350043532

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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.

Hypothetical Syllogistic and Stoic Logic

Author: Anthony Speca

Publisher: BRILL

Published: 2016-06-21

Total Pages: 161

ISBN-13: 9004321128

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This volume traces the development of Aristotle’s hypothetical syllogistic through antiquity, and shows for the first time how it later became misidentified with the logic of the rival Stoic school. By charting the origins of this error, the book illuminates elements of Aristotelian logic that have been obscured for almost two thousand years, and raises important issues concerning the distinctive roles of semantic and syntactic analysis in theories of logical consequence. The first chapters of the book deal with the original Aristotelian hypothetical syllogistic, and explain how Aristotle’s later followers began to conflate it with Stoic logic. The final chapters examine in detail the two most crucial surviving treatments of the subject, Boethius’s On hypothetical syllogisms and On Cicero’s Topics, which carried this conflation into the Middle Ages.

The Enthymeme

Author: James Fredal

Publisher: Penn State Press

Published: 2020-03-12

Total Pages: 310

ISBN-13: 0271086815

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Central to rhetorical theory, the enthymeme is most often defined as a truncated syllogism. Suppressing a premise that the audience already knows, this rhetorical device relies on the audience to fill in the missing information, thereby making the argument more persuasive. James Fredal argues that this view of the enthymeme is wrong. Presenting a new exegesis of Aristotle and classic texts of Attic oratory, Fredal shows that the standard reading of Aristotle’s enthymeme is inaccurate—and that Aristotle himself distorts what enthymemes are and how they work. From close analysis of the Rhetoric, Topics, and Analytics, Fredal finds that Aristotle’s enthymeme is, in fact, not syllogistic and is different from the enthymeme as it was used by Attic orators such as Lysias and Isaeus. Fredal argues that the enthymeme, as it was originally understood and used, is a technique of storytelling, primarily forensic storytelling, aimed at eliciting from the audience an inference about a narrative. According to Fredal, narrative rather than formal logic is the seedbed of the enthymeme and of rhetoric more broadly. The Enthymeme reassesses a fundamental doctrine of rhetorical instruction, clarifies the viewpoints of the tradition, and presents a new form of rhetoric for further study and use. This groundbreaking book will be welcomed by scholars and students of classical rhetoric, the history of rhetoric, and rhetorical theory as well as communications studies, classical studies, and classical philosophy.

The Syllogism

Author: Paul Thom

Publisher:

Published: 1981

Total Pages: 320

ISBN-13:

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Intermediate Quantities

Author: Philip Peterson

Publisher: Routledge

Published: 2020-07-24

Total Pages: 281

ISBN-13: 1000160440

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This title was first published in 2000: Intermediate quantifiers express logical quantities which fall between Aristotle's two quantities of categorical propositions - universal and particular. "Few", "many" and "most" express the most commonly referred to intermediate quantifiers, but this book argues that an infinite number can be understood through a deeper examination of the logical nature of all intermediate quantifiers. Presenting and analyzing the logical and linguistic features of intermediate quantifiers, in a fashion typical of traditional logic, Philip L. Peterson presents an account integrating the logic and semantics of intermediate quantifiers with the two traditional quantities by traditional methods. Having introduced the basic idea of how to approach the task in the first chapter, with heavy emphasis on the linguistic meanings and ordinary uses of English intermediate quantifier expressions, Peterson then undertakes the task of completely integrating the three basic intermediate quantities into traditional logic in the following chapter.

The Cambridge Descartes Lexicon

Author: Lawrence Nolan

Publisher: Cambridge University Press

Published: 2015-01-01

Total Pages: 1642

ISBN-13: 1316380939

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The Cambridge Descartes Lexicon is the definitive reference source on René Descartes, 'the father of modern philosophy' and arguably among the most important philosophers of all time. Examining the full range of Descartes' achievements and legacy, it includes 256 in-depth entries that explain key concepts relating to his thought. Cumulatively they uncover interpretative disputes, trace his influences, and explain how his work was received by critics and developed by followers. There are entries on topics such as certainty, cogito ergo sum, doubt, dualism, free will, God, geometry, happiness, human being, knowledge, Meditations on First Philosophy, mind, passion, physics, and virtue, which are written by the largest and most distinguished team of Cartesian scholars ever assembled for a collaborative research project - 92 contributors from ten countries.