UID:
almahu_9948026142302882
Format:
1 online resource (735 p.)
Edition:
1st ed.
ISBN:
1-282-12102-2
,
9786612121029
,
0-08-093058-1
Series Statement:
Handbook of the philosophy of science
Content:
One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosoph
Note:
Description based upon print version of record.
,
Front Cover; Philosophy of Mathematics; Copyright Page; General Preface; CONTENTS; Preface; List of Contributors; Chapter 1. Les Liaisons Dangereuses; Chapter 2. Realism and Anti-Realism in Mathematics; Chapter 3. Aristotelian Realism; Chapter 4. Empiricism in the Philosophy of Mathematics; Chapter 5. A Kantian Perspective on the Philosophy of Mathematics; Chapter 6. Logicism; Chapter 7. Formalism; Chapter 8. Constructivism in Mathematics; Chapter 9. Fictionalism; Chapter 10. Set Theory from Cantor to Cohen; Chapter 11. Alternative Set Theories; Chapter 12. Philosophies of Probability
,
Chapter 13. On ComputabilityChapter 14. Inconsistent Mathematics; Chapter 15. Mathematics and the World; Index
,
English
Additional Edition:
ISBN 0-444-51555-0
Language:
English
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