01333cam a2200241 a 4500 061004s2007 njua b 001 0 eng 9780691127385 0691127387 SDU BF456 B993 H 2007 Byers, William, 192412 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 Mathematicians Psychology. 126110 Mathematics Psychological aspects. Mathematics Philosophy. = C.1 SDU GBE lcc 103737 103737 0 0 lcc 0 BF0456 B993 H2007 0 CGB 283949 SDU SDU GEN3 2025-10-06 2 0 BF456 B993 H 2007 1000385234 2025-10-06 00:00:00 C.1 2025-10-06 GBE