Proof and other dilemmas mathematics and philosophy / [electronic resource] :
Proof & other dilemmas
edited by Bonnie Gold and Roger A. Simons.
- [Washington, D.C.] : Mathematical Association of America, c2008.
- xxxii, 346 p. : ill.
- Spectrum series .
- MAA spectrum. .
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 -- Řystein Linnebo -- Barry Mazur -- R.S.D. Thomas -- Guershon Harel -- Keith Devlin -- Mark Steiner -- Alan Hájek. 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.
Electronic reproduction. Palo Alto, Calif. : ebrary, 2013. Available via World Wide Web. Access may be limited to ebrary affiliated libraries.