Aristotle’s Modal Syllogistic PDF Download
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Author: Marko Malink
Publisher: Harvard University Press
ISBN: 0674727541
Category : Philosophy
Languages : en
Pages : 250
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Book Description
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.
Author: Marko Malink
Publisher: Harvard University Press
ISBN: 0674727541
Category : Philosophy
Languages : en
Pages : 250
Get Book Here
Book Description
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.
Author: Richard Patterson
Publisher: Cambridge University Press
ISBN: 9780521522335
Category : Philosophy
Languages : en
Pages : 308
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Book Description
This 1995 book argues that a proper understanding of Aristotle's modal logic requires an appreciation of its connection to the metaphysics.
Author: Adriane Rini
Publisher: Cambridge University Press
ISBN: 1107077885
Category : Mathematics
Languages : en
Pages : 365
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Book Description
Introduces readers to the history of necessity and possibility, two modal concepts which play a key role in philosophy.
Author: William Thomas Parry
Publisher: SUNY Press
ISBN: 9780791406892
Category : Philosophy
Languages : en
Pages : 560
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Book Description
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.
Author: Sarah Broadie
Publisher: Oxford University Press, USA
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 184
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Book Description
'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.
Author: Mark Sinclair
Publisher: Oxford University Press
ISBN: 0198786433
Category : Mathematics
Languages : en
Pages : 250
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Book Description
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.
Author: George Boolos
Publisher: Cambridge University Press
ISBN: 9780521483254
Category : Mathematics
Languages : en
Pages : 318
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Book Description
Boolos, a pre-eminent philosopher of mathematics, investigates the relationship between provability and modal logic.
Author: Paul Thom
Publisher: Routledge
ISBN: 1351918524
Category : Philosophy
Languages : en
Pages : 204
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Book Description
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: Marco Sgarbi
Publisher: Bloomsbury Publishing
ISBN: 1350043532
Category : Philosophy
Languages : en
Pages : 233
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Book Description
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.
Author: Pascal Massie
Publisher: Lexington Books
ISBN: 0739149318
Category : Philosophy
Languages : en
Pages : 317
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Book Description
If we are to distinguish mere non-being from that which is not, yet may be, from that which was not, yet could have been, or from that which will not be, yet could become, we are committed in some way to grant being to possibilities. The possible is not actual; yet it is not nothing. What then could it be? What ontological status could it possess? In Contingency, Time, and Possibility: An Essay on Aristotle and Duns Scotus, Pascal Massie opens these questions by combining two approaches: First, an original inquiry that analyses the notions of chance, fate, event, contradiction, and so forth, and suggests that the distinction between potency and act arises from a confrontation with the impossible. Second, a historical inquiry that focuses on Aristotle and Duns Scotus, two key figures contributing to a fundamental transformation in the history of Western ontology; namely, the transition from a metaphysics of nature (Aristotle) to a metaphysics of the will (Scotus). In doing so, this book departs from the prevailing interpretation of the history of modal logic according to which Scotus rejected the principle of plenitude attributed to Aristotle and replaced the ancient diachronic theory of possibilities with a synchronic one, thereby contributing to a Opossible worldOs semantics.O Rather, Massie argues that in its proper ontological import, the question of possibility concerns the limit between being and non-being and that this limit must be thought in terms of temporality. With Scotus, however, a radical shift occurs. Possibilities are understood in terms of will, creation, omnipotence, and transcending freedom. As such, they belong to the realm of what is supremely actual (i.e., superabundant activity). What used to be understood as a lesser degree of being (the quasi non-being of uninformed matter and mere possibilities) becomes the mark of omnipotence.
