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: Anthony Speca
Publisher: BRILL
ISBN: 9004321128
Category : Philosophy
Languages : en
Pages : 161
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Book Description
This volume traces the development of Aristotle’s hypothetical syllogistic through antiquity, and shows for the first time how it later became misidentified with the logic of the rival Stoic school. By charting the origins of this error, the book illuminates elements of Aristotelian logic that have been obscured for almost two thousand years, and raises important issues concerning the distinctive roles of semantic and syntactic analysis in theories of logical consequence. The first chapters of the book deal with the original Aristotelian hypothetical syllogistic, and explain how Aristotle’s later followers began to conflate it with Stoic logic. The final chapters examine in detail the two most crucial surviving treatments of the subject, Boethius’s On hypothetical syllogisms and On Cicero’s Topics, which carried this conflation into the Middle Ages.
Author: PROF PAOLO. MUGNAI MANCOSU (PROF MASSIMO.)
Publisher: Oxford University Press
ISBN: 0198876920
Category :
Languages : en
Pages : 238
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Book Description
Does syllogistic logic have the resources to capture mathematical proof? This volume provides the first unified account of the history of attempts to answer this question, the reasoning behind the different positions taken, and their far-reaching implications. Aristotle had claimed that scientific knowledge, which includes mathematics, is provided by syllogisms of a special sort: 'scientific' ('demonstrative') syllogisms. In ancient Greece and in the Middle Ages, the claim that Euclid's theorems could be recast syllogistically was accepted without further scrutiny. Nevertheless, as early as Galen, the importance of relational reasoning for mathematics had already been recognized. Further critical voices emerged in the Renaissance and the question of whether mathematical proofs could be recast syllogistically attracted more sustained attention over the following three centuries. Supported by more detailed analyses of Euclidean theorems, this led to attempts to extend logical theory to include relational reasoning, and to arguments purporting to reduce relational reasoning to a syllogistic form. Philosophical proposals to the effect that mathematical reasoning is heterogenous with respect to logical proofs were famously defended by Kant, and the implications of the debate about the adequacy of syllogistic logic for mathematics are at the very core of Kant's account of synthetic a priori judgments. While it is now widely accepted that syllogistic logic is not sufficient to account for the logic of mathematical proof, the history and the analysis of this debate, running from Aristotle to de Morgan and beyond, is a fascinating and crucial insight into the relationship between philosophy and mathematics.
Author: Shaftsbury Baptist Association
Publisher:
ISBN:
Category : Baptists
Languages : en
Pages : 932
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Book Description
Author: Paul Thom
Publisher: BRILL
ISBN: 9047419596
Category : Philosophy
Languages : en
Pages : 336
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Book Description
One of the earliest 13th-century Latin commentators on Aristotle, Robert Kilwardby (d.1279) is an original logician and an ingenious interpreter. This is the first full-length study of his Prior Analytics commentary, and the first study to work from the medieval manuscripts. Kilwardby interprets Aristotle's syllogistic within a broad ontological context that includes the four causes, and concepts of degrees of perfection. His interpretation aims to preserve Aristotle's theses as correct; and he formulates semantic and syntactic hypotheses that achieve this aim with almost total perfection. The book includes an appendix offering a modern rendering of Kilwardby's original logical ideas.
Author: Khaled El-Rouayheb
Publisher: BRILL
ISBN: 9004190996
Category : Philosophy
Languages : en
Pages : 304
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Book Description
Relational inferences are a well-known problem for Aristotelian logic. This book charts the development of thinking about this anomaly, from the beginnings of the Arabic logical tradition in the tenth century to the end of the nineteenth. Based in large part on hitherto unstudied manuscripts and rare books, the study shows that the problem of relational inferences was vigorously debated in the thirteenth, fourteenth and fifteenth centuries. In the course of the seventeenth and eighteenth centuries, Ottoman logicians (writing in Arabic) came to recognize relational inferences as a distinct kind of 'unfamiliar syllogism' and began to investigate their logic. These findings show that the development of Arabic logic did not - as is often supposed - come to an end in the fourteenth century. On the contrary, Arabic logic was still being developed by critical and fecund reflections as late as the eighteenth and nineteenth centuries.
Author: James Mark Baldwin
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 920
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Book Description
Author:
Publisher: Goodwill Trading Co., Inc.
ISBN: 9789715740944
Category :
Languages : en
Pages : 552
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Book Description
Author: Lukas M. Verburgt
Publisher: Bloomsbury Publishing
ISBN: 1350228850
Category : Philosophy
Languages : en
Pages : 321
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Book Description
Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.
Author: James Fredal
Publisher: Penn State Press
ISBN: 0271086815
Category : Language Arts & Disciplines
Languages : en
Pages : 310
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Book Description
Central to rhetorical theory, the enthymeme is most often defined as a truncated syllogism. Suppressing a premise that the audience already knows, this rhetorical device relies on the audience to fill in the missing information, thereby making the argument more persuasive. James Fredal argues that this view of the enthymeme is wrong. Presenting a new exegesis of Aristotle and classic texts of Attic oratory, Fredal shows that the standard reading of Aristotle’s enthymeme is inaccurate—and that Aristotle himself distorts what enthymemes are and how they work. From close analysis of the Rhetoric, Topics, and Analytics, Fredal finds that Aristotle’s enthymeme is, in fact, not syllogistic and is different from the enthymeme as it was used by Attic orators such as Lysias and Isaeus. Fredal argues that the enthymeme, as it was originally understood and used, is a technique of storytelling, primarily forensic storytelling, aimed at eliciting from the audience an inference about a narrative. According to Fredal, narrative rather than formal logic is the seedbed of the enthymeme and of rhetoric more broadly. The Enthymeme reassesses a fundamental doctrine of rhetorical instruction, clarifies the viewpoints of the tradition, and presents a new form of rhetoric for further study and use. This groundbreaking book will be welcomed by scholars and students of classical rhetoric, the history of rhetoric, and rhetorical theory as well as communications studies, classical studies, and classical philosophy.
