Conversations on Mind, Matter, and Mathematics
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 MathematicsAvis d'utilisateur - Goodreads
I think we can both agree that nobody's opinion is changed after having these conversations.
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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 ...
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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 ...
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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. ...
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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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In Conversations on Mind, Matter, and Mathematics, Alain Connes, a mathematician at the Collège de France, debates Jean-Pierre Changeux, a neurobiologist ...
muse.jhu.edu/ journals/ configurations/ v011/ 11.3kirby.html
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