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Remarks on the Foundations of Mathematics

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Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Remarks on the Foundations of Mathematics. To get started finding Remarks on the Foundations of Mathematics, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0262730677

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Remarks on the Foundations of Mathematics. To get started finding Remarks on the Foundations of Mathematics, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Remarks on the Foundations of Mathematics

Remarks on the Foundations of Mathematics

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