Mathematical Reasoning and Heuristics

Autor: C. Cellucci, D. Gillies

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Editura: Kings College Publications

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This volume is a collection of papers on philosophy of mathematics which deal with a series of ques...

Informații despre carte

Autor

C. Cellucci, D. Gillies

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2005

Pagini

240

EAN

9781904987079

ISBN

9781904987079

Enbook ID

08861584

Editura

Kings College Publications

Greutate

400

Dimensiuni

207 x 155 x 16

Descriere completă

This volume is a collection of papers on philosophy of mathematics which deal with a series of questions quite different from those which occupied the minds of the proponents of the three classic schools: logicism, formalism, and intuitionism. The questions of the volume are not to do with justification in the traditional sense, but with a variety of other topics. Some are concerned with discovery and the growth of mathematics. How does the semantics of mathematics change as the subject develops? What heuristics are involved in mathematical discovery, and do such heuristics constitute a logic of mathematical discovery? What new problems have been introduced by the development of mathematics since the 1930s? Other questions are concerned with the applications of mathematics both to physics and to the new field of computer science. Then there is the new question of whether the axiomatic method is really so essential to mathematics as is often supposed, and the question, which goes back to Wittgenstein, of the sense in which mathematical proofs are compelling. Taking these questions together they give part of an emerging agenda which is likely to carry philosophy of mathematics forward into the twenty first century.

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