Mathematics in Philosophy : Selected Essays /

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"This book by an American philosopher brings together eleven essays treating problems in logic and the philosophy of mathematics. A common point of view, that the mathematical thought is central to our thought in general, underlies the essays. In his introduction, Parsons articulates that point...

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Bibliographic Details
Main Author: Parsons, Charles, 1933-
Format: Electronic eBook
Language:Inglés
Published: Ithaca, N.Y. : Cornell University Press, 1983.
Series:Book collections on Project MUSE.
Subjects:
Mathematik.
Mathematiques > Philosophie.
Philosophie
Mathematik
Mathematics > Philosophy.
PHILOSOPHY > Logic.
Electronic books.
Online Access:Texto completo
Table of Contents:
  • 1. Ontology and mathematics
  • 2. A plea for substitutional quantification
  • 3. Informal axiomatization, formalization, and the concept of truth
  • 4. Infinity and Kant's conception of the "possibility of experience"
  • 5. Kant's philosophy of arithmetic
  • 6. Frege's theory of number
  • 7. Quine on the philosophy of mathematics
  • 8. Sets and classes
  • 9. The liar paradox
  • 10. What is the iterative conception of set?
  • 11. Sets and modality
  • App. 1. Free modal logic and modal logic with scope operators
  • App. 2. Relation of theories of potential sets to standard set theory.

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