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Remarks on the Foundations of Mathematics

Georg Henrik von Wright

4/5 ( ratings)

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 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 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.

Language: English

Pages: 444

Format: Paperback

Publisher: MIT Press

Release: May 10, 1983

ISBN: 0262730677

ISBN 13: 9780262730679

Remarks on the Foundations of Mathematics

Georg Henrik von Wright

4/5 ( ratings)

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 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 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.

Language: English

Pages: 444

Format: Paperback

Publisher: MIT Press

Release: May 10, 1983

ISBN: 0262730677

ISBN 13: 9780262730679

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