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How mathematicians think = using amb...

Byers, William, (1943-)

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How mathematicians think = using ambiguity, contradiction, and paradox to create mathematics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	How mathematicians think/ William Byers.
其他題名:	using ambiguity, contradiction, and paradox to create mathematics /
作者:	Byers, William,
出版者:	Princeton :Princeton University Press, : c2007.,
面頁冊數:	1 online resource (vii, 415 p.) :ill.
標題:	Mathematicians - Psychology. -
電子資源:	http://www.jstor.org/stable/10.2307/j.ctt7s98c
ISBN:	9781400833955 (electronic bk.)

How mathematicians think = using ambiguity, contradiction, and paradox to create mathematics /
Byers, William,1943-

How mathematicians thinkusing ambiguity, contradiction, and paradox to create mathematics /[electronic resource] :William Byers. - Princeton :Princeton University Press,c2007. - 1 online resource (vii, 415 p.) :ill.

Includes bibliographical references (p. 399-405) and index.

Acknowledgments --ch. 1 --

"To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically - even algorithmically - from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results."--Jacket.

ISBN: 9781400833955 (electronic bk.)

Source: 22573/cttz10zJSTORSubjects--Topical Terms:

922824
Mathematicians
--Psychology.

LC Class. No.: BF456.N7 / B94 2010

Dewey Class. No.: 510.92

How mathematicians think = using ambiguity, contradiction, and paradox to create mathematics /
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100 1 $a Byers, William, $d 1943- $3 1050644
245 1 0 $a How mathematicians think $h [electronic resource] : $b using ambiguity, contradiction, and paradox to create mathematics / $c William Byers.
260 $a Princeton : $b Princeton University Press, $c c2007.
300 $a 1 online resource (vii, 415 p.) : $b ill.
504 $a Includes bibliographical references (p. 399-405) and index.
505 0 0 $t Acknowledgments -- $t Introduction : Turning on the light -- $t Section 1 : The light of ambiguity $g ch. 1 -- $t Ambiguity in mathematics $g ch. 2 -- $t The contradictory in mathematics $g ch. 3 -- $t Paradoxes and mathematics : infinity and the real numbers $g ch. 4 -- $t More paradoxes of infinity : geometry, cardinality, and beyond -- $t Section 2 : The light as idea $g ch. 5. The -- $t idea as an organizing principle $g ch. 6 -- $t Ideas, logic, and paradox $g ch. 7 -- $t Great ideas -- $t Section 3 : The light and the eye of the beholder $g ch. 8. The -- $t truth of mathematics $g ch. 9 -- $t Conclusion : is mathematics algorithmic or creative? -- $t Notes -- $t Bibliography -- $t Index
520 1 $a "To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically - even algorithmically - from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results."--Jacket.
588 $a Description based on print version record.
650 0 $a Mathematicians $x Psychology. $3 922824
650 0 $a Mathematics $x Psychological aspects. $3 568491
650 0 $a Mathematics $x Philosophy. $3 523930
856 4 0 $u http://www.jstor.org/stable/10.2307/j.ctt7s98c