Aristotle S Modal Logic


Aristotle S Modal Logic
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Aristotle S Modal Logic


Aristotle S Modal Logic
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Author : Richard Patterson
language : en
Publisher: Cambridge University Press
Release Date : 2002-08-22

Aristotle S Modal Logic written by Richard Patterson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-22 with Philosophy categories.


This 1995 book argues that a proper understanding of Aristotle's modal logic requires an appreciation of its connection to the metaphysics.



Essence And Necessity


Essence And Necessity
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Author : Daniel James Vecchio
language : en
Publisher: BoD – Books on Demand
Release Date : 2022-10-18

Essence And Necessity written by Daniel James Vecchio and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-18 with Philosophy categories.


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.



Aristotle S Modal Syllogistic


Aristotle S Modal Syllogistic
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Author : Marko Malink
language : en
Publisher: Harvard University Press
Release Date : 2013-11-01

Aristotle S Modal Syllogistic written by Marko Malink and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-01 with Philosophy categories.


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 Proofs


Aristotle S Modal Proofs
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Author : Adriane Rini
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-13

Aristotle S Modal Proofs written by Adriane Rini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-13 with Philosophy categories.


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.



The Logic Of Essentialism


The Logic Of Essentialism
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Author : P. Thom
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Logic Of Essentialism written by P. Thom and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.


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.



Medieval Modal Systems


Medieval Modal Systems
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Author : Paul Thom
language : en
Publisher: Routledge
Release Date : 2017-09-08

Medieval Modal Systems written by Paul Thom and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-08 with Philosophy categories.


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.



Logical Modalities From Aristotle To Carnap


Logical Modalities From Aristotle To Carnap
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Author : Max Cresswell
language : en
Publisher: Cambridge University Press
Release Date : 2016-09-15

Logical Modalities From Aristotle To Carnap written by Max Cresswell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-15 with Mathematics categories.


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



Reforging The Great Chain Of Being


Reforging The Great Chain Of Being
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Author : Simo Knuuttila
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Reforging The Great Chain Of Being written by Simo Knuuttila and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Philosophy categories.


A sports reporter might say that in a competition all the participants realize their potentialities or possibilities. When an athlete performs far below his usual standard, it can be said that it was possible for him to do better. But the idea of fair play requires that this use of 'possible' refers to another com petition. It is presumed that the best athlete wins and that no real possibility of doing better is left unrealized in a competition. Here we have a use of language, a language game, in which modal notions are used so as to imply that if something is possible, it is realized. This idea does not belong to the general presuppositions of current ordinary usage. It is, nevertheless, not difficult to fmd other similar examples outside of the language of sports. It may be that such a use of modal notions is sometimes calculated to express that in the context in question there are no real alternative courses of events in contradistinction to other cases in which some possible alternatives remain unrealized. Even though modal notions are currently interpreted without the presup position that each genuine possibility should be realized at some moment of the actual history, there are contemporary philosophical models of modalities which incorporate this presupposition. In his book Untersuchungen tiber den Modalkalkiil (Anton Hain, Meisenheim am Glan 1952, pp. 16-36), Oscar Becker presents a statistical interpretation of modal calculi.



Aspects Of Aristotle S Logic Of Modalities


Aspects Of Aristotle S Logic Of Modalities
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Author : J. van Rijen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Aspects Of Aristotle S Logic Of Modalities written by J. van Rijen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.




Aspects Of Aristotle S Logic


Aspects Of Aristotle S Logic
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Author : Richard Bosley
language : en
Publisher:
Release Date : 1975

Aspects Of Aristotle S Logic written by Richard Bosley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Philosophy categories.