Shadows of syntax : revitalizing logical and mathematical conventionalism

Shadows of syntax : revitalizing logical and mathematical conventionalism / Jared Warren.

"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...

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Bibliographic Details
Main Author: Warren, Jared (Author)
Format: eBook
Language:English
Published: New York, NY : Oxford University Press, [2020]
Subjects:
Convention (Philosophy)
Logic.
Mathematics > Philosophy.
Pluralism.
pluralism.
Logic
Mathematics > Philosophy
Pluralism
Online Access:Click for online access
Table of Contents:
  • PART I THE PHILOSOPHICAL BACKGROUND
  • 1. What Is Conventionalism? 3
  • 2. Linguistic Conventions 21
  • PART II REVITALIZING LOGICAL CONVENTIONALISM
  • 3. Unrestricted Logical Inferentialism 55
  • 4. Logical Conventionalism 95
  • 5. Alternative Conventions, Alternative Logics 125
  • 6. The Epistemology of Logic 153
  • 7. The Very Idea of Truth by Convention 171
  • PART III REVITALIZING MATHEMATICAL CONVENTIONALISM
  • 8. From Logic to Mathematics 197
  • 9. Metaontology, Existence, and Reference 209
  • 10. Mathematical Determinacy 239
  • 11. Truth, Paradoxes, Freedom, Applications, and Knowledge 276
  • 12. Metamathematics versus Conventionalism 301
  • PART IV REFLECTIONS
  • 13. Old Slogans, New Dogmas 321
  • 14. The Facts of the Matter.

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