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Remarks on the Foundations of Mathematics by…

Remarks on the Foundations of Mathematics

by Ludwig Wittgenstein

Other authors: G. E. M. Anscombe (Translator), Rush Rhees (Editor), G. H. Von Wright (Editor)

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Originally in German?
  richardhobbs | Nov 28, 2010 |
Mark Liberman linked to some pages in this on LLog, and it seemed approachable. I'm not getting a lot from it, though. It's a neat piece of history, seeing Wittgenstein in conversation with Turing, plus some interesting ideas and styles of argument, but transcribed lecture / dialogue format makes for poor pedagogy, I think. I actually wanted to learn a little something about the mathematics and contradiction, and there's really only a few sentences here dealing with that, not the full exposition I wanted.
  leeinaustin | Jul 15, 2009 |
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Author nameRoleType of authorWork?Status
Wittgenstein, Ludwigprimary authorall editionsconfirmed
Anscombe, G. E. M.Translatorsecondary authorall editionsconfirmed
Rhees, RushEditorsecondary authorall editionsconfirmed
Von Wright, G. H.Editorsecondary authorall editionsconfirmed
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Amazon.com Product Description (ISBN 0262730677, Paperback)

Wittgenstein's work remains, undeniably, now, that off one of those few philosophers who will be read by all future generations.

(retrieved from Amazon Thu, 12 Mar 2015 18:11:51 -0400)

(see all 3 descriptions)

Wittgenstein's work remains, undeniably, now, that of one of those few philosophers who will be read by all future generations. The Remarks analyzes in depth such topics as logical compulsion (the "must") and mathematical conviction; calculation as experiment; mathematical surprise, discovery, and invention; Russell's logic, Gödel's theorem, Cantor's diagonal procedure, Dedekind's cuts; the nature of proof and contradiction; and the role of mathematical propositions in the forming of concepts. Wittgenstein's later philosophy was much involved with the concept of "language-games," of which mathematics was one. It was his feeling that a proper analysis of the use of language would clarify concepts and lead to the solution of (what seem to be) philosophical problems. Sometimes, Wittgenstein's expository method is pre-Socratic: a flow of disconnected statements, not unlike Heraclitean fragments, that range from clear aphorisms to cryptic oracles. Elsewhere, there are brief Socratic dialogues with imaginary persons, opponents of equally severe seriousness, representatives of the other half of Wittgenstein strove for total clarity of language as a means of solving philosophical problems, but some of his most meaningful statements here are expressed suggestively, subjectively, poetically.… (more)

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