Proof and other dilemmas mathematics and philosophy /

שמור ב:
מידע ביבליוגרפי
מחבר תאגידי: ebrary, Inc
מחברים אחרים: Gold, Bonnie, 1948-, Simons, Roger A.
פורמט: אלקטרוני ספר אלקטרוני
שפה:אנגלית
יצא לאור: [Washington, D.C.] : Mathematical Association of America, c2008.
סדרה:MAA spectrum.
נושאים:
גישה מקוונת:An electronic book accessible through the World Wide Web; click to view
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תוכן הענינים:
  • 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 / Øystein 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 Hájek.