Proof and other dilemmas : mathematics and philosophy / / edited by Bonnie Gold and Roger A. Simons.

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Bibliographic Details
Superior document:Spectrum series
:
TeilnehmendeR:
Year of Publication:2008
Language:English
Series:MAA spectrum.
Online Access:
Physical Description:xxxii, 346 p. :; ill.
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Table of Contents:
  • Proof and how it is changing. Proof : its nature and significance / Michael Detlefsen
  • Implications of experimental mathematics for the philosophy of mathematics / Jonathan Borwein
  • On the roles of proof in mathematics / Joseph Auslander
  • Social constructivist views of mathematics. When is a problem solved? / Philip J. Davis
  • Mathematical practice as a scientific problem / Reuben Hersh
  • Mathematical domains : social constructs? / Julian Cole
  • The nature of mathematical objects and mathematical knowledge. The existence of mathematical objects / Charles Chihara
  • Mathematical objects / Stewart Shapiro
  • Mathematical platonism / Mark Balaguer
  • The nature of mathematical objects / ystein Linnebo
  • When is one thing equal to some other thing? / Barry Mazur
  • The nature of mathematics and its applications. Extreme science : mathematics as the science of relations as such / R.S.D. Thomas
  • What is mathematics? A pedagogical answer to a philosophical question / Guershon Harel
  • What will count as mathematics in 2100? / Keith Devlin
  • Mathematics applied : the case of addition / Mark Steiner
  • Probability : a philosophical overview / Alan H{acute}ajek.