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Mathematical Thought and Its Objects

Charles Parsons
Publisher: 
Cambridge University Press
Publication Date: 
2008
Number of Pages: 
378
Format: 
Hardcover
Price: 
95.00
ISBN: 
9780521452793
Category: 
Monograph
[Reviewed by
Dennis Lomas
, on
02/8/2011
]

This book requires training in philosophy of mathematics, and even then it is not easy going. Parsons’ discussion of the nature of intuition (pp. 152 ff.), notably its connection with perception and imagination, is of special interest.


Dennis Lomas has studied computer science, mathematics, and philosophy.

 

Preface; 1. Objects and logic; 2. Structuralism and nominalism; 3. Modality and structuralism; 4. A problem about sets; 5. Intuition; 6. Numbers as objects; 7. Intuitive arithmetic and its limits; 8. Mathematical induction; 9. Reason.

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