Mathematical Knowledge (inbunden)
Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
236
Utgivningsdatum
2007-11-01
Upplaga
illustrated ed
Förlag
OUP Oxford
Medarbetare
Paseau, Alexander / Potter, Michael
Illustratör/Fotograf
Illustrations
Illustrationer
Illustrations
Dimensioner
240 x 165 x 18 mm
Vikt
400 g
Antal komponenter
1
Komponenter
52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam
ISBN
9780199228249

Mathematical Knowledge

Inbunden,  Engelska, 2007-11-01
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What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions.
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    Mary Leng defends a philosophical account of the nature of mathematics which views it as a kind of fiction (albeit an extremely useful fiction). On this view, the claims of our ordinary mathematical theories are more closely analogous to utterance...

Recensioner i media

Jeremy Gray, MAA Online This book is a valuable introduction to current thinking in the philosophy of mathematics as it looks for a new direction.

Innehållsförteckning

Introduction; 1. What is the problem of mathematical knowledge?; 2. Mathematics, memory, and mental arithmetic; 3. Is there a problem of induction for mathematics?; 4. The cognitive basis of mathematical knowledge; 5. What's there to know? A fictionalist account of mathematical knowledge; 6. Mathematical recreation versus mathematical knowledge; 7. Scientific Platonism; 8. On quantifying into predicate position: Steps towards a new(trialist) perspective