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

Contributor(s): Material type: TextTextSeries: MAA spectrumPublication details: [Washington, D.C.] : Mathematical Association of America, c2008.Description: xxxii, 346 p. : illOther title:
  • Proof & other dilemmas [Cover title]
Subject(s): Genre/Form: DDC classification:
  • 511.3 20
LOC classification:
  • QA8.4 .P755 2008
Online resources:
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.
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Includes bibliographical references.

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.

Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.

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