AI SearchHow mathematicians think : | using ambiguity, contradiction, and paradox to create mathematics /
Byers, William,
How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics / William Byers. - Princeton : Princeton University Press, 2007. - 415 p. : ill.
Acknowledgments -- Introduction : Turning on the light -- Section 1 : The light of ambiguity -- Ambiguity in mathematics -- The contradictory in mathematics -- Paradoxes and mathematics : infinity and the real numbers -- More paradoxes of infinity : geometry, cardinality, and beyond -- Section 2 : The light as idea -- idea as an organizing principle -- Ideas, logic, and paradox -- Great ideas -- Section 3 : The light and the eye of the beholder -- truth of mathematics -- Conclusion : is mathematics algorithmic or creative? -- Notes -- Bibliography -- Index. HKBU library
YT2025 M10
9780691127385 0691127387
Mathematicians--Psychology.
Mathematics--Psychological aspects.
Mathematics--Philosophy.
BF456 / B993 H 2007
How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics / William Byers. - Princeton : Princeton University Press, 2007. - 415 p. : ill.
Acknowledgments -- Introduction : Turning on the light -- Section 1 : The light of ambiguity -- Ambiguity in mathematics -- The contradictory in mathematics -- Paradoxes and mathematics : infinity and the real numbers -- More paradoxes of infinity : geometry, cardinality, and beyond -- Section 2 : The light as idea -- idea as an organizing principle -- Ideas, logic, and paradox -- Great ideas -- Section 3 : The light and the eye of the beholder -- truth of mathematics -- Conclusion : is mathematics algorithmic or creative? -- Notes -- Bibliography -- Index. HKBU library
YT2025 M10
9780691127385 0691127387
Mathematicians--Psychology.
Mathematics--Psychological aspects.
Mathematics--Philosophy.
BF456 / B993 H 2007