TY - BOOK AU - Byers,William TI - How mathematicians think: using ambiguity, contradiction, and paradox to create mathematics SN - 9780691127385 (acidfree paper) AV - BF456.N7 B94 2007 U1 - 510.92 22 PY - 2007/// CY - Princeton PB - Princeton University Press KW - Mathematicians KW - Psychology KW - Mathematics KW - Psychological aspects KW - Philosophy N1 - Includes bibliographical references (p. 399-405) and index; Acknowledgments -- Introduction : Turning on the light -- Section 1 : The light of ambiguity -- ch. 1. Ambiguity in mathematics -- ch. 2; The contradictory in mathematics -- ch. 3. Paradoxes and mathematics : infinity and the real numbers -- ch. 4. More paradoxes of infinity : geometry, cardinality, and beyond -- Section 2 : The light as idea -- ch. 5. The idea as an organizing principle -- ch. 6. Ideas, logic, and paradox -- ch. 7. Great ideas -- Section 3 : The light and the eye of the beholder -- ch. 8. The truth of mathematics -- ch. 9. Conclusion : is mathematics algorithmic or creative? -- Notes -- Bibliography -- Index UR - http://www.loc.gov/catdir/toc/ecip073/2006033160.html UR - http://www.loc.gov/catdir/enhancements/fy0704/2006033160-d.html UR - http://www.loc.gov/catdir/enhancements/fy0734/2006033160-b.html ER -