Aristotle’s Modal Syllogistic

Aristotle’s Modal Syllogistic

Author: Marko Malink

Publisher: Harvard University Press

Published: 2013-11-01

Total Pages: 250

ISBN-13: 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.


Aristotle's Modal Logic

Aristotle's Modal Logic

Author: Richard Patterson

Publisher: Cambridge University Press

Published: 2002-08-22

Total Pages: 308

ISBN-13: 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.


Logical Modalities from Aristotle to Carnap

Logical Modalities from Aristotle to Carnap

Author: Adriane Rini

Publisher: Cambridge University Press

Published: 2016-09-15

Total Pages: 365

ISBN-13: 1107077885

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


First-Order Modal Logic

First-Order Modal Logic

Author: M. Fitting

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 300

ISBN-13: 9401152926

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This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and Russellian paradigms.


Aristotelian Logic

Aristotelian Logic

Author: William Thomas Parry

Publisher: SUNY Press

Published: 1991-01-01

Total Pages: 560

ISBN-13: 9780791406892

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Proceedings of an international research and development conference, Tuscon, Arizona, October 1985. One hundred and twenty-eight papers are presented in this hefty volume. They are grouped into chapters covering climate, underutilized plants, irrigation and water management, biosphere reserves, water policy, animal resources, desert ecology, crop physiology and agronomy, urban environments, desertification, land intensification, and other topics related to the economy and management of arid lands. Provides detailed treatment of topics in traditional logic: theory of terms, theory of definition, informal fallacies, and division and classification.


Passage and Possibility

Passage and Possibility

Author: Sarah Broadie

Publisher: Oxford University Press, USA

Published: 1982

Total Pages: 184

ISBN-13:

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'Masterly ... She combines philosophical sophistication with an enviable ability to interpret the texts in a perceptive and illuminating way ... Will stimulate discussion for a long time to come.'--Times Literary Supplement.


The Actual and the Possible

The Actual and the Possible

Author: Mark Sinclair

Publisher: Oxford University Press

Published: 2017

Total Pages: 250

ISBN-13: 0198786433

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The Actual and the Possible presents new essays by leading specialists on modality and the metaphysics of modality in the history of modern philosophy from the seventeenth to the twentieth centuries. It revisits key moments in the history of modern modal doctrines, and illuminates lesser-known moments of that history. The ultimate purpose of this historical approach is to contextualise and even to offer some alternatives to dominant positions within the contemporary philosophy of modality. Hence the volume contains not only new scholarship on the early-modern doctrines of Baruch Spinoza, G. W. F. Leibniz, Christian Wolff and Immanuel Kant, but also work relating to less familiar nineteenth-century thinkers such as Alexius Meinong and Jan Lukasiewicz, together with essays on celebrated nineteenth- and twentieth-century thinkers such as G. W. F. Hegel, Martin Heidegger and Bertrand Russell, whose modal doctrines have not previously garnered the attention they deserve. The volume thus covers a variety of traditions, and its historical range extends to the end of the twentieth century, addressing the legacy of W. V. Quine's critique of modality within recent analytic philosophy.


The Logic of Provability

The Logic of Provability

Author: George Boolos

Publisher: Cambridge University Press

Published: 1995-04-28

Total Pages: 318

ISBN-13: 9780521483254

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Boolos, a pre-eminent philosopher of mathematics, investigates the relationship between provability and modal logic.


The Aftermath of Syllogism

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.