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

Contributor(s): Material type: TextSeries: Spectrum seriesPublication details: [Washington, D.C.] : Mathematical Association of America, c2008.Description: xxxii, 346 p. : illustrationsISBN:
  • 9780883855676
Other title:
  • Proof & other dilemmas
Subject(s): LOC classification:
  • QA 8.4 PRO 2008
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�ajek.
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Holdings
Cover image Item type Current library Home library Collection Shelving location Call number Materials specified Vol info URL Copy number Status Notes Date due Barcode Item holds Item hold queue priority Course reserves
Book Main Library On Shelf QA 8.4 PRO 2008 (Browse shelf(Opens below)) 1 Available 33729005597633

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�ajek.

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