000 03820nam a2200373 i 4500
005 20250919002820.0
008 150324s2014 riu bi 001 0 eng
020 _a9780821894200 (paperback : acid-free paper)
_cRM145.47
020 _a082189420X (paperback. : acid-free paper)
039 9 _a201506091616
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_c201506050827
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_c201505271517
_dhamudah
_y03-24-2015
_zhamudah
040 _aDLC
_beng
_erda
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_dYDX
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_dDEBBG
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090 _aQA8.6.H447
090 _aQA8.6
_b.H447
100 1 _aHersh, Reuben,
_d1927-
_eauthor.
245 1 0 _aExperiencing mathematics :
_bwhat do we do, when we do mathematics? /
_cReuben Hersh.
246 1 8 _ispine title :
_aExperiencing mathematics.
264 1 _aProvidence, Rhode Island :
_bAmerican Mathematical Society,
_c[2014].
300 _axvii, 291 pages ;
_c26 cm.
336 _atext
_2rdacontent
337 _aunmediated
_2rdamedia
338 _avolume
_2rdacarrier
504 _aIncludes bibliographical references and index.
505 0 _a'Mostly for the right hand'. Introduction ; True facts about imaginary objects ; Mathematical Intuition (Poincar Polya, Dewey) ; To establish new mathematics, we use our mental models and build on established mathematics ; How mathematicians convince each other or'The Kingdom of Math is within you' ; On the interdisciplinary study of mathematical practice, with a real live case study ; Wings, not foundations! ; Inner vision, outer truth ; Mathematical practice as a scientific problem ; Proving is convincing and explaining ; Fresh breezes in the philosophy of mathematics ; Definition of mathematics ; Introduction to'18 unconventional essays on the nature of mathematics' --'Mostly for the left hand'. Introduction ; Rhetoric and mathematics (with Philip J. Davis) ; Math lingo vs. plain English : double entendre ; Independent thinking ; The'origin' of geometry ; The wedding ; Mathematics and ethics ; Ethics for mathematicians ; Under-represented then over-represented : a memoir of Jews in American mathematics ; Paul Cohen and forcing in 1963 -- Selected book reviews. Introduction ; Review of Not Exactly : in praise of vagueness by Kees van Deemter ; Review of How mathematicians think by William Byers ; Review of The mathematician's brain by David Ruelle ; Review of Perfect rigor by Masha Gessen ; Review of Letters to a young mathematician by Ian Stewart ; Review of Number and numbers by Alain Badiou -- About the author. An amusing elementary example ; Annotated research bibliography ; Curriculum Vitae ; List of articles.
520 _a'Most mathematicians, when asked about the nature and meaning of mathematics, vacillate between the two unrealistic poles of Platonism and formalism. By looking carefully at what mathematicians really do when they are doing mathematics, Reuben Hersh offers an escape from this trap. This book of selected articles and essays provides an honest, coherent, and clearly understandable account of mathematicians' proof as it really is, and of the existence and reality of mathematical entities. It follows in the footsteps of Poincar Hadamard, and Polya. The pragmatism of John Dewey is a better fit for mathematical practice than the dominant'analytic philosophy'. Dialogue, satire, and fantasy enliven the philosophical and methodological analysis.'--page [4] of cover.
650 0 _aMathematics
_xPhilosophy.
907 _a.b16104110
_b2019-11-12
_c2019-11-12
942 _c01
_n0
_kQA8.6.H447
914 _avtls003581928
990 _arab
991 _aFakulti Sains dan Teknologi
998 _at
_b2015-11-03
_cm
_da
_feng
_griu
_y0
_z.b16104110
999 _c589459
_d589459