Aristotles Modal Logic

Download or read book Aristotle’s Modal Syllogistic written by Marko Malink and published by Harvard University Press. This book was released on 2013-11-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Aristotle's Modal Logic written by Richard Patterson and published by Cambridge University Press. This book was released on 2002-08-22 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1995 book argues that a proper understanding of Aristotle's modal logic requires an appreciation of its connection to the metaphysics.

Download or read book Logical Modalities from Aristotle to Carnap written by Adriane Rini and published by Cambridge University Press. This book was released on 2016-09-15 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces readers to the history of necessity and possibility, two modal concepts which play a key role in philosophy.

Download or read book Aristotle's Modal Syllogisms written by Storrs McCall and published by . This book was released on 1963 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Aristotelian Logic written by William Thomas Parry and published by SUNY Press. This book was released on 1991-01-01 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Medieval Modal Systems written by Paul Thom and published by Routledge. This book was released on 2017-09-08 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Possibility and Necessity in the Time of Peter Abelard written by Irene Binini and published by BRILL. This book was released on 2021-10-11 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.