Towards a philosophy of real mathematics /

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In this ambitious study, David Corfield sets out a variety of approaches to new thinking about the philosophy of mathematics, and challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines.

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Corfield, David
Format: Electronic eBook
Language:Inglés
Published: Cambridge, UK ; New York : Cambridge University Press, 2003.
Subjects:
Mathematics > Philosophy.
Mathématiques > Philosophie.
MATHEMATICS > History & Philosophy.
Mathematics > Philosophy
Online Access:Texto completo
Table of Contents:
  • Introduction: a role for history
  • Human and Artificial Mathematicians
  • Communicating with automated theorem provers
  • Automated conjecture formation
  • The role of analogy in mathematics
  • Plausibility, uncertainty and probability
  • Bayesianism in mathematics
  • Uncertainty in mathematics and science
  • The Growth of Mathematics
  • Lakatos's philosophy of mathematics
  • Beyond the methodology of mathematical research programmes
  • The importance of mathematical conceptualisation
  • The Interpretation of Mathematics
  • Higher dimensional algebra.

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