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Mathematics in philosophy : selected essays

Author: Charles Parsons
Publisher: Ithaca, N.Y. : Cornell University Press, 1983.
Series: Cornell classics in philosophy.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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 of view and relates it to past and recent discussions of the foundations of mathematics."--Jacket.
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Additional Physical Format: Online version:
Parsons, Charles, 1933-
Mathematics in philosophy.
Ithaca, N.Y. : Cornell University Press, 1983
(OCoLC)698051603
Document Type: Book
All Authors / Contributors: Charles Parsons
ISBN: 0801414717 9780801414718 0801489814 9780801489815
OCLC Number: 9684510
Description: 365 pages ; 24 cm.
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.
Series Title: Cornell classics in philosophy.
Responsibility: Charles Parsons.

Abstract:

This important book by a major American philosopher brings together eleven essays treating problems in logic and the philosophy of mathematics. A common point of view, that mathematical thought is  Read more...

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"This volume can be regarded as a celebration of Parsons' work in the philosophy of mathematics.... No review can do justice to the wealth of insight it contains."--Journal of Symbolic Logic

 
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