Proof and other dilemmas : mathematics and philosophy / Proof & other dilemmas edited by Bonnie Gold and Roger A. Simons. - [Washington, D.C.] : Mathematical Association of America, c2008. - xxxii, 346 p. : illustrations - Spectrum series .

Includes bibliographical references.

Proof : its nature and significance / Implications of experimental mathematics for the philosophy of mathematics / On the roles of proof in mathematics / When is a problem solved? / Mathematical practice as a scientific problem / Mathematical domains : social constructs? / The existence of mathematical objects / Mathematical objects / Mathematical platonism / The nature of mathematical objects / When is one thing equal to some other thing? / Extreme science : mathematics as the science of relations as such / What is mathematics? A pedagogical answer to a philosophical question / What will count as mathematics in 2100? / Mathematics applied : the case of addition / Probability : a philosophical overview / Michael Detlefsen -- Jonathan Borwein -- Joseph Auslander -- Philip J. Davis -- Reuben Hersh -- Julian Cole -- Charles Chihara -- Stewart Shapiro -- Mark Balaguer -- �ystein Linnebo -- Barry Mazur -- R.S.D. Thomas -- Guershon Harel -- Keith Devlin -- Mark Steiner -- Alan H�ajek. Proof and how it is changing. Social constructivist views of mathematics. The nature of mathematical objects and mathematical knowledge. The nature of mathematics and its applications.

9780883855676


Mathematics -- Philosophy.

QA 8.4 PRO 2008