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Shadows of syntax : revitalizing logical and mathematical conventionalism / Jared Warren.
- Format:
- Book
- Author/Creator:
- Warren, Jared, author.
- Series:
- Oxford scholarship online.
- Oxford scholarship online
- Language:
- English
- Subjects (All):
- Convention (Philosophy).
- Logic.
- Mathematics--Philosophy.
- Mathematics.
- Pluralism.
- Physical Description:
- 1 online resource (xx, 385 pages) : illustrations.
- Other Title:
- Revitalizing logical and mathematical conventionalism
- Place of Publication:
- New York, NY : Oxford University Press, 2020.
- Summary:
- 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 a 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.
- Contents:
- Introduction
- Part I. The philosophical background. What is conventionalism?
- Linguistic conventions
- Part II. Revitalizing logical conventionalism. Unrestricted logical inferentialism
- Logical conventionalism
- Alternative conventions, alternative logics
- The epistemology of logic
- The very idea of truth by convention
- Part III. Revitalizing mathematical conventionalism. From logic to mathematics
- Metaontology, existence, and reference
- Mathematical determinacy
- Truth, paradoxes, freedom, applications, and knowledge
- Metamathematics versus conventionalism
- Part IV. Reflections. Old slogans, new dogmas
- The facts of the matter.
- Notes:
- Also issued in print: 2020.
- Includes bibliographical references and index.
- Description based on online resource; title from home page (viewed on November 19, 2020).
- ISBN:
- 0-19-008617-3
- 0-19-008618-1
- 0-19-008616-5
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