Philosophy of Mathematics

An Introduction to a World of Proofs and Pictures

AvJames Robert Brown

Inbunden, Engelska, 1999

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Beskrivning

Philosophy of Mathematics is an excellent introductory text. This student friendly book discusses the great philosophers and the importance of mathematics to their thought. It includes the following topics:* the mathematical image* platonism* picture-proofs* applied mathematics* Hilbert and Godel* knots and nations* definitions* picture-proofs and Wittgenstein* computation, proof and conjecture.The book is ideal for courses on philosophy of mathematics and logic.

Produktinformation

Utgivningsdatum:1999-07-29
Mått:156 x 234 x undefined mm
Vikt:453 g
Format:Inbunden
Språk:Engelska
Serie:Philosophical Issues in Science
Antal sidor:230
Förlag:Taylor & Francis Ltd
ISBN:9780415122740

Utforska kategorier

Matematikens filosofi inom Naturvetenskap och teknik

Recensioner i media

'This book discusses the great philosophers and the importance of mathematics to their thought.Among the topics coverd are; traditional topics in the philosopy of mathematics, such as platonism, formalism and constructivism; the nature of notion and the character definitions; contemporary computational techniques; current debates among mathematicians over the role of experiments in mathematics.''This is a valuable and rather untraditional introduction to some major philosophical issues concerning mathematics.' - Mathematical Reviews

Innehållsförteckning

Chapter 1 Introduction; Chapter 2 Platonism; Chapter 3 Picture-proofs and Platonism; Chapter 4 What is Applied Mathematics?; Chapter 5 Hilbert and Gödel; Chapter 6 Knots and Notation; Chapter 7 What is a Definition?; Chapter 8 Constructive Approaches; Chapter 9 Proofs, Pictures and Procedures in Wittgenstein; Chapter 10 Computation, Proof and Conjecture; Chapter 11 Calling the Bluff;