Wittgenstein's philosophy of mathematics
著者
書誌事項
Wittgenstein's philosophy of mathematics
(Cambridge elements, . Elements in the philosophy of mathematics / edited by Penelope Rush,
Cambridge University Press, 2021
- : pbk
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注記
Includes bibliographical references (p. [76]-86)
内容説明・目次
内容説明
For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical methods central to its progress. Sentences exhibit differing 'aspects', or dimensions of meaning, projecting mathematical 'realities'. Mathematics is an activity of constructing standpoints on equalities and differences of these. Wittgenstein's Later Philosophy of Mathematics (1934-1951) grew from his Early (1912-1921) and Middle (1929-33) philosophies, a dialectical path reconstructed here partly as a response to the limitative results of Goedel and Turing.
目次
- 1. Introduction
- 2. Early Philosophy: Absolute Simplicity
- 3. Middle Philosophy (1929-1933): Relative Simplicity
- 4. Later Philosophy: Fluid Simplicity (1937-1951).
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