Medieval Modal Systems

Medieval Modal Systems PDF 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.

Medieval Modal Systems

Medieval Modal Systems PDF Author: Paul Thom
Publisher: Routledge
ISBN: 1351918524
Category : Philosophy
Languages : en
Pages : 204

Get Book Here

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.

Medieval Modal Systems

Medieval Modal Systems PDF Author: Adjunct Professor School of Philosophical and Historical Inquiry Paul Thom
Publisher: Routledge
ISBN: 9780754608332
Category : Philosophy
Languages : en
Pages : 216

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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.

Modalities in Medieval Philosophy

Modalities in Medieval Philosophy PDF Author: Simo Knuuttila
Publisher: Routledge
ISBN: 0429621345
Category : History
Languages : en
Pages : 247

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Book Description
Originally published in 1993, Modalities in Medieval Philosophy looks at the idea of modality as multiplicity of reference with respect to alternative domains. The book examines how this emerged in early medieval discussions and addresses how it was originally influenced by the theological conception of God acting by choice. After a discussion of ancient modal paradigms, the author traces the interplay of old and new modal views in medieval logic and semantics, philosophy and theology. A detailed account is given of late medieval discussions of the new modal logic, epistemic logic, and the logic norms. These theories show striking similarities to some basic tenets of contemporary approaches to modal matters. This work will be of considerable interest to historians of philosophy and ideas and philosophers of logic and metaphysics.

Logical Modalities from Aristotle to Carnap

Logical Modalities from Aristotle to Carnap PDF 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.

The Oxford Handbook of Medieval Philosophy

The Oxford Handbook of Medieval Philosophy PDF Author: John Marenbon
Publisher: Oxford University Press
ISBN: 0190246979
Category : History
Languages : en
Pages : 768

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Book Description
This Handbook shows the links between medieval and contemporary philosophy. Topic-based essays on all areas of philosophy explore this relationship and introduce the main themes of medieval philosophy. They are preceded by the fullest chronological survey now available of the different traditions: Latin and Greek, Islamic and Jewish.

Articulating Medieval Logic

Articulating Medieval Logic PDF Author: Terence Parsons
Publisher:
ISBN: 0199688842
Category : History
Languages : en
Pages : 346

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Book Description
Studies the development and logical complexity of medieval logic, the expansion of Aristotle's notation by medieval logicians, and the development of additional logical principle--

Encyclopedia of Medieval Philosophy

Encyclopedia of Medieval Philosophy PDF Author: Henrik Lagerlund
Publisher: Springer Science & Business Media
ISBN: 140209728X
Category : Philosophy
Languages : en
Pages : 1448

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Book Description
This is the first reference ever devoted to medieval philosophy. It covers all areas of the field from 500-1500 including philosophers, philosophies, key terms and concepts. It also provides analyses of particular theories plus cultural and social contexts.

Aristotle’s Modal Syllogistic

Aristotle’s Modal Syllogistic PDF 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.

The Routledge Handbook of Modality

The Routledge Handbook of Modality PDF Author: Otávio Bueno
Publisher: Routledge
ISBN: 1317585275
Category : Philosophy
Languages : en
Pages : 479

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Book Description
Modality - the question of what is possible and what is necessary - is a fundamental area of philosophy and philosophical research. The Routledge Handbook of Modality is an outstanding reference source to the key topics, problems and debates in this exciting subject and is the first collection of its kind. Comprising thirty-five chapters by a team of international contributors the Handbook is divided into seven clear parts: worlds and modality essentialism, ontological dependence, and modality modal anti-realism epistemology of modality modality in science modality in logic and mathematics modality in the history of philosophy. Within these sections the central issues, debates and problems are examined, including possible worlds, essentialism, counterfactuals, ontological dependence, modal fictionalism, deflationism, the integration challenge, conceivability, a priori knowledge, laws of nature, natural kinds, and logical necessity. The Routledge Handbook of Modality is essential reading for students and researchers in epistemology, metaphysics and philosophy of language. It will also be very useful for those in related fields in philosophy such as philosophy of mathematics, logic and philosophy of science.

First-Order Modal Logic

First-Order Modal Logic PDF Author: Melvin Fitting
Publisher: Springer Nature
ISBN: 3031407148
Category : Philosophy
Languages : en
Pages : 464

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Book Description
This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and Russellian paradigms.