18 Unconventional Essays on the Nature of Mathematics
著者
書誌事項
18 Unconventional Essays on the Nature of Mathematics
Springer New York, c2006
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内容説明・目次
内容説明
Collection of the most interesting recent writings on the philosophy of mathematics written by highly respected researchers from philosophy, mathematics, physics, and chemistry
Interdisciplinary book that will be useful in several fields-with a cross-disciplinary subject area, and contributions from researchers of various disciplines
目次
Introduction by Reuben Hersh.- A. Renyi: Socratic Dialogue.- C. Cellucci: Filosofia e Matematica, introduction.- W. Thurston: On Proof and Progress in Mathematics.- A. Aberdein: The Informal Logic of Mathematical Proof.- Y. Rav: Philosophical Problems of Mathematics in Light of Evolutionary Epistemology.- B. Rotman: Towards a Semiotics of Mathematics.- D. Mackenzie: Computers and the Sociology of Mathematical Proof.- T. Stanway: From G.H.H. and Littlewood to XML and Maple: Changing Needs and Expectations in Mathematical Knowledge Management.- R. Nunez: Do Numbers Really Move?.- T. Gowers: Does Mathematics Need a Philosophy?.- J. Azzouni: How and Why Mathematics is a Social Practice.- G.C. Rota: The Pernicious Influence of Mathematics Upon Philosophy.- J. Schwartz: The Pernicious Influence of Mathematics on Science.- Alfonso Avila del Palacio: What is Philosophy of Mathematics Looking For?.- A. Pickering: Concepts and the Mangle of Practice: Constructing Quaternions.- E. Glas: Mathematics as Objective Knowledge and as Human Practice.- L. White: The Locus of Mathematical Reality: An Anthropological Footnote.- R. Hersh: Inner Vision, Outer Truth.
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