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Book Aristotle   s Modal Syllogistic

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.

Book Aristotle s Modal Syllogistic

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 382 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. Combining analytic rigor with keen sensitivity to historical context, Marko Malink 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. While it acknowledges some limitations of this reconstruction, Aristotle's Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts.

Book Aristotle s Modal Logic

    Book Details:
  • Author : Richard Patterson
  • Publisher : Cambridge University Press
  • Release : 2002-08-22
  • ISBN : 9780521522335
  • Pages : 308 pages

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.

Book Logical Modalities from Aristotle to Carnap

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.

Book Medieval Modal Systems

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.

Book The Activity of Being

    Book Details:
  • Author : Aryeh Kosman
  • Publisher : Harvard University Press
  • Release : 2013-03-01
  • ISBN : 0674075021
  • Pages : 296 pages

Download or read book The Activity of Being written by Aryeh Kosman and published by Harvard University Press. This book was released on 2013-03-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding “what something is” has long occupied philosophers, and no Western thinker has had more influence on the nature of being than Aristotle. Focusing on a reinterpretation of the concept of energeia as “activity,” Aryeh Kosman reexamines Aristotle’s ontology and some of our most basic assumptions about the great philosopher’s thought.

Book Aristotle   s Modal Syllogistic

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 0 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.

Book Essence and Necessity

    Book Details:
  • Author : Daniel James Vecchio
  • Publisher : BoD – Books on Demand
  • Release : 2022-10-18
  • ISBN : 3868385959
  • Pages : 294 pages

Download or read book Essence and Necessity written by Daniel James Vecchio and published by BoD – Books on Demand. This book was released on 2022-10-18 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a critical and historical account of Aristotelian essentialism and modal logic. In Chapter One, ancient and contemporary interpretations and claims of inconsistency in Aristotle’s modal syllogistic are examined. A more consistent model is developed through attention to Aristotle’s comments on negation. In Chapter Two, proofs for each of the mixed apodictic syllogisms are analyzed and diagrammed. Chapter Three explores how Aristotle’s modal metaphysics fits within the context of the Posterior Analytics. Chapter Four contrasts Aristotelian modal logic to contemporary modal metaphysics and argues for ways in which a return to Aristotle may spark intriguing thought in contemporary discussions of the philosophy of science and in debate over the metaphysics of identity.

Book Possibility and Necessity in the Time of Peter Abelard

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.

Book The Aftermath of Syllogism

Download or read book The Aftermath of Syllogism written by Marco Sgarbi and published by Bloomsbury Publishing. This book was released on 2018-01-25 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book The Logic of Essentialism

Download or read book The Logic of Essentialism written by P. Thom and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aristotle's modal syllogistic has been an object of study ever since the time of Theophrastus; but these studies (apart from an intense flowering in the Middle Ages) have been somewhat desultory. Remarkably, in the 1990s several new lines of research have appeared, with series of original publications by Fred Johnson, Richard Patterson and Ulrich Nortmann. Johnson presented for the first time a formal semantics adequate to a de re reading of the apodeictic syllogistic; this was based on a simple intuition linking the modal syllogistic to Aristotelian metaphysics. Nortmann developed an ingenious de dicto analysis. Patterson articulated the links (both theoretical and genetic) between the modal syllogistic and the metaphysics, using an analysis which strictly speaking is neither de re nor de dicto. My own studies in this field date from 1976, when my colleague Peter Roeper and I jointly wrote a paper "Aristotle's apodeictic syllogisms" for the XXIInd History of Logic Conference in Krakow. This paper contained the disjunctive reading of particular affirmative apodeictic propositions, which I still favour. Nonetheless, I did not consider that paper's results decisive or comprehensive enough to publish, and my 1981 book The Syllogism contained no treatment of the modal syllogism. The paper's ideas lay dormant till 1989, when I read Johnson's and Patterson's initial articles. I began publishing on the topic in 1991. Gradually my thoughts acquired a certain comprehensiveness and systematicity, till in 1993 I was able to take a semester's sabbatical to write up a draft of this book.

Book The Aristotelian Tradition

Download or read book The Aristotelian Tradition written by Borje Byden and published by Papers in Mediaeval Studies. This book was released on 2017-01-20 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The twelve chapters of this volume all began their existence as contributions to workshops held between 2009 and 2011 by a Danish-Swedish research network called The Aristotelian Tradition: The reception of Aristotle's works on logic and metaphysics in the Middle Ages, headquartered in Gothenburg and funded by the Bank of Sweden Tercentenary Foundation. Most of them were written by members of the network, some by invited speakers. While the volume amply illustrates the set of scholarly approaches characteristic of the "Copenhagen School of Medieval Philosophy" (notably a strong philological foundation and an interest in ancient as well as medieval and Greek as well as Latin texts), its thematic diversity reflects the network's breadth of interests. What unites the chapters in this respect is simply a concern with different historical manifestations of Aristotelian thought on logical and metaphysical matters. The volume includes studies of texts by, among others, Apuleius, Boethius, Anonymus Aurelianensis III, Michael of Ephesus, Averroes, Anonymus Cantabrigiensis, Nicholas of Paris, Robert Kilwardby, Anonymus O, Thomas Aquinas, William of Ockham, and Francisco Suárez, relating to themes and passages in Aristotle's Categories, On Interpretation, Prior Analytics 1, Posterior Analytics 1, Sophistical Refutations and Metaphysics A and Z. The last two chapters consist of a new edition, with English translation and commentary, of the first part of a fiercely anti-Aristotelian work, which has been described as the starting-point for Renaissance Platonism and Aristotelianism alike: George Gemistos Plethon's On Aristotle's Departures from Plato."--

Book Interpreting Averroes

    Book Details:
  • Author : Peter Adamson
  • Publisher : Cambridge University Press
  • Release : 2019
  • ISBN : 1107114888
  • Pages : 273 pages

Download or read book Interpreting Averroes written by Peter Adamson and published by Cambridge University Press. This book was released on 2019 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engages with all aspects of Averroes' philosophy, from his thinking on Aristotle to his influence on Islamic law.

Book Aristotle s Modal Proofs

    Book Details:
  • Author : Adriane Rini
  • Publisher : Springer Science & Business Media
  • Release : 2010-12-13
  • ISBN : 9400700504
  • Pages : 246 pages

Download or read book Aristotle s Modal Proofs written by Adriane Rini and published by Springer Science & Business Media. This book was released on 2010-12-13 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aristotle’s modal syllogistic is his study of patterns of reasoning about necessity and possibility. Many scholars think the modal syllogistic is incoherent, a ‘realm of darkness’. Others think it is coherent, but devise complicated formal modellings to mimic Aristotle’s results. This volume provides a simple interpretation of Aristotle’s modal syllogistic using standard predicate logic. Rini distinguishes between red terms, such as ‘horse’, ‘plant’ or ‘man’, which name things in virtue of features those things must have, and green terms, such as ‘moving’, which name things in virtue of their non-necessary features. By applying this distinction to the Prior Analytics, Rini shows how traditional interpretive puzzles about the modal syllogistic melt away and the simple structure of Aristotle’s own proofs is revealed. The result is an applied logic which provides needed links between Aristotle’s views of science and logical demonstration. The volume is particularly valuable to researchers and students of the history of logic, Aristotle’s theory of modality, and the philosophy of logic in general.

Book Aristotelian Logic

    Book Details:
  • Author : William Thomas Parry
  • Publisher : SUNY Press
  • Release : 1991-01-01
  • ISBN : 9780791406892
  • Pages : 560 pages

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.

Book From Aristotle to Augustine

Download or read book From Aristotle to Augustine written by David J. Furley and published by Psychology Press. This book was released on 2003 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume two of the 'Routledge History of Philosophy' provides an authoritative and comprehensive survey and analysis of the key areas of late Greek and early Christian philosophy up to the fifth century.

Book Explorations in Ancient and Modern Philosophy

Download or read book Explorations in Ancient and Modern Philosophy written by M. F. Burnyeat and published by Cambridge University Press. This book was released on 2012-06-14 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of two volumes collecting the published work of one of the greatest living ancient philosophers, M.F. Burnyeat.