Shadows of Syntax : Revitalizing Logical and Mathematical Conventionalism by Jared Warren (2020, Hardcover)

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About this product

Product Identifiers

PublisherOxford University Press, Incorporated
ISBN-100190086157
ISBN-139780190086152
eBay Product ID (ePID)17038291289

Product Key Features

Number of Pages400 Pages
LanguageEnglish
Publication NameShadows of Syntax : Revitalizing Logical and Mathematical Conventionalism
Publication Year2020
SubjectSocial, History & Philosophy, General, Logic
TypeTextbook
Subject AreaMathematics, Philosophy
AuthorJared Warren
FormatHardcover

Dimensions

Item Height1.3 in
Item Weight25 Oz
Item Length9.3 in
Item Width6 in

Additional Product Features

Intended AudienceScholarly & Professional
LCCN2019-035617
Dewey Edition23
Reviews"Philosophers of science, mathematics, and logic, including those educated to regard conventionalism as an early-20th-century curiosity, need to add this groundbreaking work to their reading lists. Summing Up: Essential. Upper-division undergraduates through faculty." -- L. C. Archie, CHOICE"Conventionalism about mathematics claims the same for mathematical truth. Conventionalism was popular among the logical positivists, with Carnap...His outstanding new book, Shadows of Syntax, builds upon these articles to provide the most sophisticated development of the conventionalist viewpoint that I have seen. Warren wrestles throughout with Quine's criticisms, contending that they are not nearly as powerful as is commonly supposed. Written in lucid, vibrant prose, this consistently gripping book offers numerous meaty arguments and ingenious gambits that merit sustained reflection...Shadows of Syntax is one of the most thought-provoking books that I have read in a long time. You should grapple with it yourself. You may come away more persuaded than I was. You will surely find it stimulating." -- Michael Rescorla, History and Philosophy of Logic, "Philosophers of science, mathematics, and logic, including those educated to regard conventionalism as an early-20th-century curiosity, need to add this groundbreaking work to their reading lists. Summing Up: Essential. Upper-division undergraduates through faculty." -- L. C. Archie, CHOICE"Conventionalism about mathematics claims the same for mathematical truth. Conventionalism was popular among the logical positivists, with Carnap...His outstanding new book, Shadows of Syntax, builds upon these articles to provide the most sophisticated development of the conventionalist viewpoint that I have seen. Warren wrestles throughout with Quine's criticisms, contending that they are not nearly as powerful as is commonly supposed. Written inlucid, vibrant prose, this consistently gripping book offers numerous meaty arguments and ingenious gambits that merit sustained reflection...Shadows of Syntax is one of the most thought-provoking books that Ihave read in a long time. You should grapple with it yourself. You may come away more persuaded than I was. You will surely find it stimulating." -- Michael Rescorla, History and Philosophy of Logic, "Philosophers of science, mathematics, and logic, including those educated to regard conventionalism as an early-20th-century curiosity, need to add this groundbreaking work to their reading lists. Summing Up: Essential. Upper-division undergraduates through faculty." -- L. C. Archie, CHOICE, Philosophers of science, mathematics, and logic, including those educated to regard conventionalism as an early-20th-century curiosity, need to add this groundbreaking work to their reading lists. Summing Up: Essential. Upper-division undergraduates through faculty., "Philosophers of science, mathematics, and logic, including those educated to regard conventionalism as an early-20th-century curiosity, need to add this groundbreaking work to their reading lists. Summing Up: Essential. Upper-division undergraduates through faculty." -- L. C. Archie, CHOICE "Conventionalism about mathematics claims the same for mathematical truth. Conventionalism was popular among the logical positivists, with Carnap...His outstanding new book, Shadows of Syntax, builds upon these articles to provide the most sophisticated development of the conventionalist viewpoint that I have seen. Warren wrestles throughout with Quine's criticisms, contending that they are not nearly as powerful as is commonly supposed. Written in lucid, vibrant prose, this consistently gripping book offers numerous meaty arguments and ingenious gambits that merit sustained reflection...Shadows of Syntax is one of the most thought-provoking books that I have read in a long time. You should grapple with it yourself. You may come away more persuaded than I was. You will surely find it stimulating." -- Michael Rescorla, History and Philosophy of Logic
Dewey Decimal160
Table Of ContentI. The Philosophical Background1. What is Conventionalism2. Linguistic ConventionsII. Revitalizing Logical Conventionalism3. Unrestricted Logical Inferentialism4. Logical Conventionalism5. Alternative Conventions, Alternative Logics6. The Epistemology of Logic7. The Very Idea of Truth by ConventionIII. Revitalizing Mathematical Conventionalism8. From Logic to Mathematics9. Metaontology, Existence, and Reference10. Mathematical Determinacy11. Truth, Paradoxes, Freedom, Applications, and Knowledge12. Metamathematics versus ConventionalismIV. Reflections13. Old Slogans, New Dogmas14. The Facts of the Matter
SynopsisWhat 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., 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 thefirst 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 thetruth, 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 demiseof 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 begenerated 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., 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., This volume revitalizes logical and mathematical conventionalism. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was a 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 oflogic 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.
LC Classification NumberB809.15.W37 2020
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