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Author: Paul F. Syverson
Publisher: Stanford Univ Center for the Study
ISBN: 9781575863924
Category : Philosophy
Languages : en
Pages : 158
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Book Description
One of the fundamental theses of this book is that logical consequence and logical truth are not simply given, but arise as conventions among the users of logic. Thus Syverson explains convention within a game-theoretic framework, as a kind of equilibrium between the strategies of players in a game where they share common knowledge of events—a revisiting of Lewis's Convention that argues that convention can be reasonably treated as coordination equilibria. Most strikingly, a realistic solution is provided for Gray's classic coordination problem, wherein two generals can only communicate with each other through unreliable means.
Author: Paul F. Syverson
Publisher: Stanford Univ Center for the Study
ISBN: 9781575863924
Category : Philosophy
Languages : en
Pages : 158
Get Book Here
Book Description
One of the fundamental theses of this book is that logical consequence and logical truth are not simply given, but arise as conventions among the users of logic. Thus Syverson explains convention within a game-theoretic framework, as a kind of equilibrium between the strategies of players in a game where they share common knowledge of events—a revisiting of Lewis's Convention that argues that convention can be reasonably treated as coordination equilibria. Most strikingly, a realistic solution is provided for Gray's classic coordination problem, wherein two generals can only communicate with each other through unreliable means.
Author: Carlo Borromeo Giannoni
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111349497
Category : Language Arts & Disciplines
Languages : en
Pages : 160
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Book Description
Author: Carlo Borromeo Giannoni
Publisher:
ISBN: 9783108000561
Category :
Languages : en
Pages : 157
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Book Description
Author: Jared Warren
Publisher: Oxford University Press
ISBN: 0190086165
Category : Mathematics
Languages : en
Pages : 336
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Book Description
What is the source of logical and mathematical truth? This volume revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. In Shadows of Syntax, Jared Warren offers the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. He argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims. In Part I, Warren explains exactly what conventionalism amounts to and what linguistic conventions are. Part II develops an unrestricted inferentialist theory of the meanings of logical constants that leads to logical conventionalism. This conventionalist theory is elaborated in discussions of logical pluralism, the epistemology of logic, and of the influential objections that led to the historical demise of conventionalism. Part III aims to extend conventionalism from logic to mathematics. Unlike logic, mathematics involves both ontological commitments and a rich notion of truth that cannot be generated by any algorithmic process. To address these issues Warren develops conventionalist-friendly but independently plausible theories of both metaontology and mathematical truth. Finally, Part IV steps back to address big picture worries and meta-worries about conventionalism. This book develops and defends a unified theory of logic and mathematics according to which logical and mathematical truths are reflections of our linguistic rules, mere shadows of syntax.
Author: Jared Warren
Publisher: Oxford University Press, USA
ISBN: 0190086157
Category : Mathematics
Languages : en
Pages : 409
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Book Description
What is the source of logical and mathematical truth? This volume revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. In Shadows of Syntax, Jared Warren offers the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. He argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims. In Part I, Warren explains exactly what conventionalism amounts to and what linguistic conventions are. Part II develops an unrestricted inferentialist theory of the meanings of logical constants that leads to logical conventionalism. This conventionalist theory is elaborated in discussions of logical pluralism, the epistemology of logic, and of the influential objections that led to the historical demise of conventionalism. Part III aims to extend conventionalism from logic to mathematics. Unlike logic, mathematics involves both ontological commitments and a rich notion of truth that cannot be generated by any algorithmic process. To address these issues Warren develops conventionalist-friendly but independently plausible theories of both metaontology and mathematical truth. Finally, Part IV steps back to address big picture worries and meta-worries about conventionalism. This book develops and defends a unified theory of logic and mathematics according to which logical and mathematical truths are reflections of our linguistic rules, mere shadows of syntax.
Author: Yemima Ben-Menahem
Publisher: Cambridge University Press
ISBN: 1107320410
Category : Philosophy
Languages : en
Pages : 301
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Book Description
The daring idea that convention - human decision - lies at the root both of necessary truths and much of empirical science reverberates through twentieth-century philosophy, constituting a revolution comparable to Kant's Copernican revolution. This book provides a comprehensive study of Conventionalism. Drawing a distinction between two conventionalist theses, the under-determination of science by empirical fact, and the linguistic account of necessity, Yemima Ben-Menahem traces the evolution of both ideas to their origins in Poincaré's geometric conventionalism. She argues that the radical extrapolations of Poincaré's ideas by later thinkers, including Wittgenstein, Quine, and Carnap, eventually led to the decline of conventionalism. This book provides a fresh perspective on twentieth-century philosophy. Many of the major themes of contemporary philosophy emerge in this book as arising from engagement with the challenge of conventionalism.
Author: Paul F. Syverson
Publisher:
ISBN:
Category :
Languages : en
Pages : 326
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Book Description
Author: Paul F. Syverson
Publisher: Stanford Univ Center for the Study
ISBN: 9781575863917
Category : Philosophy
Languages : en
Pages : 158
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Book Description
One of the fundamental theses of this book is that logical consequence and logical truth are not simply given, but arise as conventions among the users of logic. Thus Syverson explains convention within a game-theoretic framework, as a kind of equilibrium between the strategies of players in a game where they share common knowledge of events—a revisiting of Lewis's Convention that argues that convention can be reasonably treated as coordination equilibria. Most strikingly, a realistic solution is provided for Gray's classic coordination problem, wherein two generals can only communicate with each other through unreliable means.
Author: Penelope Rush
Publisher: Cambridge University Press
ISBN: 1107039649
Category : Mathematics
Languages : en
Pages : 279
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Book Description
This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.
Author: Alan Sidelle
Publisher: Cornell University Press
ISBN: 150174626X
Category : Philosophy
Languages : en
Pages : 237
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Book Description
Alan Sidelle's Necessity, Essence, and Individuation is a sustained defense of empiricism—or, more generally, conventionalism—against recent attacks by realists. Sidelle focuses his attention on necessity a posteriori, a kind of necessity which contemporary realists have taken to support realism over empiricism. Turning the tables against the realists, Sidelle argues that if there are in fact truths necessary a posteriori, it is not realism, but rather empiricism which provides the best explanation for them.
