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Conversations on Mind, Matter, and Mathematics

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Princeton University Press, 1998 - 260 pages

Do numbers and the other objects of mathematics enjoy a timeless existence independent of human minds, or are they the products of cerebral invention? Do we discover them, as Plato supposed and many others have believed since, or do we construct them? Does mathematics constitute a universal language that in principle would permit human beings to communicate with extraterrestrial civilizations elsewhere in the universe, or is it merely an earthly language that owes its accidental existence to the peculiar evolution of neuronal networks in our brains? Does the physical world actually obey mathematical laws, or does it seem to conform to them simply because physicists have increasingly been able to make mathematical sense of it? Jean-Pierre Changeux, an internationally renowned neurobiologist, and Alain Connes, one of the most eminent living mathematicians, find themselves deeply divided by these questions.

The problematic status of mathematical objects leads Changeux and Connes to the organization and function of the brain, the ways in which its embryonic and post-natal development influences the unfolding of mathematical reasoning and other kinds of thinking, and whether human intelligence can be simulated, modeled,--or actually reproduced-- by mechanical means. The two men go on to pose ethical questions, inquiring into the natural foundations of morality and the possibility that it may have a neural basis underlying its social manifestations. This vivid record of profound disagreement and, at the same time, sincere search for mutual understanding, follows in the tradition of Poincaré, Hadamard, and von Neumann in probing the limits of human experience and intellectual possibility. Why order should exist in the world at all, and why it should be comprehensible to human beings, is the question that lies at the heart of these remarkable dialogues.

  

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Review: Conversations on Mind, Matter, and Mathematics

Avis d'utilisateur  - Bria - Goodreads

I think we can both agree that nobody's opinion is changed after having these conversations. Consulter l'avis complet

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Table des matières

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V
110
VI
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VII
167
VIII
198
IX
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Droits d'auteur

Expressions et termes fréquents

able activity ALAIN CONNES axiom of choice axioms behavior beliefs biology calculation called cell cerebral CHANGEUX coherence COMPACT SPACE connections CONNES construct cortex course cultural Darwinian Darwinism defined electron elementary elements ematical encoding ethics evaluation function evolution example existence experience experimental fact field theory figure finite frontal func fundamental group genetic geometry given homeomorphism human brain integers interaction involves knowledge language levels of organization limbic system logical machine mathe mathematical objects mathematical reality mathematician matics moral natural nerve impulse neural neurobiologist neurons neurotransmitter nonetheless notion physical objects physical reality physicists possible precisely prime numbers problem propagation properties QUANTUM FIELD THEORY quantum mechanics question reason receptor representations reproducible result second level seems selection sense simple simplicial complex social sort specific sporadic groups structure synapse there's third level thought tion topological space Turing ultraproducts understanding universal

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Références issues de pages Web

Changeux, J. and Connes, A.; debevoise, mb, ed. and trans ...
Description of the book Conversations on Mind, Matter, and Mathematics by Changeux, J. and Connes, A.; debevoise, MB, ed. and trans., published by Princeton ...
press.princeton.edu/ titles/ 5634.html

Jean-Pierre Changeux - Wikipedia, the free encyclopedia
As put forth in one of his books, Conversations on Mind, Matter and Mathematics, Changeux strongly sides with the statement 'The Nervous System is active ...
en.wikipedia.org/ wiki/ Jean-Pierre_Changeux

Mind, Matter, and Mathematics.
Abstract: Reviews mb debevoise's "Conversations on Mind, Matter, and Mathematics," (a book of translated conversations between Jean-Pierre Changeux and ...
eric.ed.gov/ ERICWebPortal/ recordDetail?accno=EJ536690

Author Index — Volume 6
CONNES, Conversations on Mind, Matter, and Mathematics. 241. SHAPIRO, STEWART. Review of. CHARLES. E. RICKART,. Structuralism ...
philmat.oxfordjournals.org/ cgi/ reprint/ 6/ 3/ 351.pdf

Zentralblatt MATH Database 1931 – 2008 0834.00002
Conversations on mind, matter, and mathematics. Ed. and transl. from the. French by mb debevoise. (English). Princeton, NJ: Princeton Univ. ...
zmath.impa.br/ cgi-bin/ zmen/ ZMATH/ en/ quick.html?first=1& maxdocs=3& type=pdf& rv=A+Coyne& format=complete

Howard Gardner: Review of "What makes us think?"
In the late 1980s neuroscientist Jean-Pierre Changeux and mathematician Alain Connes conducted "Conversations on Mind, Matter, and Mathematics. ...
pzweb.harvard.edu/ PIs/ HG_Changeux.htm

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Vicki Kirby - Enumerating Language: "The Unreasonable ...
In Conversations on Mind, Matter, and Mathematics, Alain Connes, a mathematician at the Collège de France, debates Jean-Pierre Changeux, a neurobiologist ...
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À propos de l'auteur (1998)

Changeux is Director of the Molecular Neurobiology Laboratory at the Institute Pasteur in Paris and Professor at the College de France.

Michel Tardieu holds the Chair in the Syncretisms of Late Antiquity at the College de France. His many books include "La Formation des canons scriptuaires," M. B. DeBevoise has translated or edited some thirty works from the French and Italian.

Informations bibliographiques

QR code for Conversations on Mind, Matter, and Mathematics
TitreConversations on Mind, Matter, and Mathematics
Princeton paperbacks
AuteursJean Pierre Changeux, Alain Connes
RédacteurMalcolm B. DeBevoise
Traduit parMalcolm B. DeBevoise
Éditionillustrée, réimprimée
ÉditeurPrinceton University Press, 1998
ISBN0691004056, 9780691004051
Longueur260 pages
  
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