Philosophy of Mathematics
- 1st Edition - June 11, 2009
- Imprint: North Holland
- Editors: Andrew Irvine, Dov M. Gabbay, Paul Thagard, John Woods
- Language: English
- Hardback ISBN:9 7 8 - 0 - 4 4 4 - 5 1 5 5 5 - 1
- Paperback ISBN:9 7 8 - 0 - 4 4 4 - 5 6 2 4 0 - 1
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 9 3 0 5 8 - 9
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… Read more
Purchase options
Institutional subscription on ScienceDirect
Request a sales quoteOne 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 philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, Kantianism), as well as dominant modern theories (logicism, formalism, constructivism, fictionalism, etc.), are all analyzed and evaluated. Leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) is also discussed. The result is a handbook that not only provides a comprehensive overview of recent developments but that also serves as an indispensable resource for anyone wanting to learn about current developments in the philosophy of mathematics.
-Comprehensive coverage of all main theories in the philosophy of mathematics
-Clearly written expositions of fundamental ideas and concepts
-Definitive discussions by leading researchers in the field
-Summaries of leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) are also included
-Clearly written expositions of fundamental ideas and concepts
-Definitive discussions by leading researchers in the field
-Summaries of leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) are also included
-Comprehensive coverage of all main theories in the philosophy of mathematics
-Clearly written expositions of fundamental ideas and concepts
-Definitive discussions by leading researchers in the field
-Summaries of leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) are also included
-Clearly written expositions of fundamental ideas and concepts
-Definitive discussions by leading researchers in the field
-Summaries of leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) are also included
- Edition: 1
- Published: June 11, 2009
- Imprint: North Holland
- No. of pages: 733
- Language: English
- Hardback ISBN: 9780444515551
- Paperback ISBN: 9780444562401
- eBook ISBN: 9780080930589
AI
Andrew Irvine
Affiliations and expertise
University of British Columbia, Vancouver, CanadaDG
Dov M. Gabbay
Dov M. Gabbay is Augustus De Morgan Professor Emeritus of Logic at the Group of Logic, Language and Computation, Department of Computer Science, King's College London. He has authored over four hundred and fifty research papers and over thirty research monographs. He is editor of several international Journals, and many reference works and Handbooks of Logic.
Affiliations and expertise
Augustus De Morgan Professor Emeritus of Logic at the Group of Logic, Language and Computation, Department of Computer Science, King's College London.PT
Paul Thagard
Affiliations and expertise
University of Waterloo, CanadaJW
John Woods
Affiliations and expertise
University of British Columbia, Vancouver, CanadaRead Philosophy of Mathematics on ScienceDirect