Proof and Other Dilemmas: Mathematics and Philosophy

& (eds.)
Mathematical Association of America (2008)
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Abstract

This book of sixteen original essays is the first to explore this range of new developments in the philosophy of mathematics, in a language accessible to ...

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2009

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0883855674   9780883855676

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Chapters

Proof: Its nature and significance.  (pages 1)Michael Detlefsen
Proof: Its Nature and Significance.  (pages 3-32)Michael Detlefsen
Implications of Experimental Mathematics for the Philosophy of Mathematics.  (pages 33)Jonathan Borwein
On the roles of proof in mathematics.  (pages 61--77)Joseph Auslander
Mathematical practice as a scientific problem.  (pages 95--108)Reuben Hersh
Mathematical Domains: Social Constructs?  (pages 109--128)Julian C. Cole
Matftematical Objects.  (pages 157)Stewart Shapiro
Mathematical platonism.  (pages 179--204)Mark Balaguer
The nature of mathematical objects.  (pages 205--219)Øystein Linnebo
When is One Thing Equalto Some Other Thing?  (pages 221)Barry Mazur
Extreme Science: Mathematics as the Science of Relations as such.  (pages 245)R. S. D. Thomas
What is mathematics? A pedagogical answer to a philosophical question.  (pages 265--290)Guershon Harel
What Wifl Count as Mathematics in 2100?  (pages 291)Stanford Csli
Mathematics Ayyded: The Case of Addition.  (pages 313)Mark Steiner
Probability—A Philosophical Overview.  (pages 323)Alan Hajek

Similar books and articles

On the roles of proof in mathematics.Joseph Auslander - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 61--77.
Implications of Experimental Mathematics for the Philosophy of Mathematics.Jonathan Borwein - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 33.
Mathematics Ayyded: The Case of Addition.Mark Steiner - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 313.
What Wifl Count as Mathematics in 2100?Stanford Csli - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 291.
Mathematical platonism.Mark Balaguer - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 179--204.
Matftematical Objects.Stewart Shapiro - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 157.
Probability—A Philosophical Overview.Alan Hajek - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 323.
What is mathematics? A pedagogical answer to a philosophical question.Guershon Harel - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 265--290.
Mathematical practice as a scientific problem.Reuben Hersh - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 95--108.

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