Mathematical Knowledge

Mary Leng, Alexander Paseau, Michael Potter (Herausgeber)

Buch | Hardcover

236 Seiten

2007
Oxford University Press (Verlag)
978-0-19-922824-9 (ISBN)

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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. Written by some of the world's leading philosophers of mathematics, psychologists, and mathematicians, Mathematical Knowledge gives a lively sense of the current state of debate in this fascinating field.

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

Erscheint lt. Verlag	15.11.2007
Verlagsort	Oxford
Sprache	englisch
Maße	162 x 242 mm
Gewicht	477 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	0-19-922824-8 / 0199228248
ISBN-13	978-0-19-922824-9 / 9780199228249
Zustand	Neuware