Proof and other dilemmas mathematics and philosophy /
Proof and other dilemmas mathematics and philosophy / [Texte imprimé] :
Proof & other dilemmas
edited by Bonnie Gold and Roger A. Simons
- Washington : Mathematical Association of America, cop. 2008
- 1 vol. (XXXII-346 p.) : ill., couv. ill. ; 26 cm
- Spectrum series .
- Spectrum series (Mathematical Association of America, Washington) .
Notes bibliogr.
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 -- Øystein 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.
0-88385-567-4 978-0-88385-567-6
Mathematics / Philosophy
511.3
Notes bibliogr.
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 -- Øystein 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.
0-88385-567-4 978-0-88385-567-6
Mathematics / Philosophy
511.3