If you have a bit of time this Xmas, you may wish to read Philosophy of Mathematics: 5 Questions , edited by Vincent F. Hendricks & Hannes Leitgeb. This is a very nice series. 5 Questions collects together answers on 5 provocative questions by many of the leading contemporary figures in a given area, in this case the Philosophy and Mathematics. The book in question contains a lot of first-hand, interesting considerations, well beyond what one may find in more uptight, academic publications. CONTRIBUTORS: Jeremy Avigad, Steve Awodey, John L. Bell, Johan van Benthem , Douglas Bridges, Charles S. Chihara, Mark Colyvan , E. Brian Davies, Michael Detlefsen, Solomon Feferman, Bob Hale, Geoffrey Hellman, Jaakko Hintikka, Thomas Jech, H. Jerome Keisler, Ulrich Kohlenbach, Penelope Maddy , Paolo Mancosu , Charles Parsons , Michael D. Resnik, Stewart Shapiro, Wilfried Sieg, William Tait, Albert Visser, Alan Weir, Philip Welch, Crispin Wright, Edward N. Zalta. Disclaim...
Perhaps from a philosophy POV, they would do better to get to the basics of abstraction physics before going onto the illusion that thinking in terms of computation is something to credit the computing machine with, rather than the humans who created the machine for all it is.
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