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Towards a Philosophy of Real Mathematics

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Selected pages

Contents

PART I Human and artificial mathematicians
35
PART II Plausibility uncertainty and probability
101
PART III The growth of mathematics
149
PART IV The interpretation of mathematics
233
Appendix
271
Bibliography
274
Index
286
Copyright

Other editions - View all

Towards a Philosophy of Real Mathematics
Towards a Philosophy of Real Mathematics
David Corfield
No preview available - 2006

Common terms and phrases

algebraic number algebraic number fields algebraic topology algorithm allow analogy analysis automated theorem automated theorem provers axiomatisation axioms Bayesian calculation category theory century chapter claim complex concept conjecture consider construction Dedekind degrees of belief diagrams dimension domain ematics entities equations equivalent evidence example factorisation finite formula function generalisation geometry groupoids hard core heuristic higher-dimensional algebra Hilbert homotopy groups homotopy theory Hopf algebras ideal ideas imagine important inductive integers isomorphic knot Lakatos Lakatos’s lemmas logic manifolds mappings math mathematical research mathematicians models monoidal n-category natural numbers notation notion number fields number theory objects ofthe P´olya path philosophers philosophy of mathematics philosophy of science physicists physics plausible Poincaré polynomial prime problem PROGOL Proofs and Refutations prove quantum field theory reasoning representation research programmes result Riemann scientific seen sense structure theorem provers topological spaces vector

Bibliographic information

QR code for Towards a Philosophy of Real Mathematics
TitleTowards a Philosophy of Real Mathematics
AuthorDavid Corfield
PublisherCambridge University Press
ISBN1139436392, 9781139436397
  
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