Aspects of Aristotle’s Logic of Modalities

Aspects of Aristotle’s Logic of Modalities
Title Aspects of Aristotle’s Logic of Modalities PDF eBook
Author J. van Rijen
Publisher Springer Science & Business Media
Pages 248
Release 2012-12-06
Genre Philosophy
ISBN 9400926510

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Aristotle’s Modal Syllogistic

Aristotle’s Modal Syllogistic
Title Aristotle’s Modal Syllogistic PDF eBook
Author Marko Malink
Publisher Harvard University Press
Pages 250
Release 2013-11-01
Genre Philosophy
ISBN 0674727541

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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.

Logical Modalities from Aristotle to Carnap

Logical Modalities from Aristotle to Carnap
Title Logical Modalities from Aristotle to Carnap PDF eBook
Author Adriane Rini
Publisher Cambridge University Press
Pages 365
Release 2016-09-15
Genre Mathematics
ISBN 1107077885

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Introduces readers to the history of necessity and possibility, two modal concepts which play a key role in philosophy.

Aristotle's Modal Logic

Aristotle's Modal Logic
Title Aristotle's Modal Logic PDF eBook
Author Richard Patterson
Publisher Cambridge University Press
Pages 308
Release 2002-08-22
Genre Philosophy
ISBN 9780521522335

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

Possibility and Necessity in the Time of Peter Abelard

Possibility and Necessity in the Time of Peter Abelard
Title Possibility and Necessity in the Time of Peter Abelard PDF eBook
Author Irene Binini
Publisher BRILL
Pages 334
Release 2021-10-11
Genre History
ISBN 9004470468

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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.

The Oxford Handbook of Aristotle

The Oxford Handbook of Aristotle
Title The Oxford Handbook of Aristotle PDF eBook
Author Christopher Shields
Publisher Oxford University Press, USA
Pages 731
Release 2012-08-16
Genre History
ISBN 0195187482

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This book reflects the lively international character of Aristotelian studies, drawing contributors from Europe, North America, and Asia. It also reflects the broad range of activity Aristotelian studies comprise today, informed by cutting-edge philological research and focusing as its core activity on textual exegesis and philosophical criticism.

Aspects of Aristotle's Logic

Aspects of Aristotle's Logic
Title Aspects of Aristotle's Logic PDF eBook
Author Richard Bosley
Publisher
Pages 160
Release 1975
Genre Philosophy
ISBN

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