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Some Remarks on Wittgenstein’s Philosophy of Mathematics
Open Journal of Philosophy, Volume: 10, Issue: 01, Pages: 45 - 65
Swansea University Author: Richard Startup
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DOI (Published version): 10.4236/ojpp.2020.101005
Abstract
Drawing mainly from the Tractatus Logico-Philosophicus and his middle period writings, strategic issues and problems arising from Wittgenstein’s philosophy of mathematics are discussed. Topics have been so chosen as to assist mediation between the perspective of philosophers and that of mathematicia...
Published in: | Open Journal of Philosophy |
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ISSN: | 2163-9434 2163-9442 |
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Scientific Research Publishing, Inc.
2020
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URI: | https://cronfa.swan.ac.uk/Record/cronfa53147 |
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2020-10-27T14:37:41.1135266 v2 53147 2020-01-08 Some Remarks on Wittgenstein’s Philosophy of Mathematics d86a8b1f7833763cea35d2b88386d0d4 Richard Startup Richard Startup true false 2020-01-08 FGSEN Drawing mainly from the Tractatus Logico-Philosophicus and his middle period writings, strategic issues and problems arising from Wittgenstein’s philosophy of mathematics are discussed. Topics have been so chosen as to assist mediation between the perspective of philosophers and that of mathematicians on their developing discipline. There is consideration of rules within arithmetic and geometry and Wittgenstein’s distinctive approach to number systems whether elementary or transfinite. Examples are presented to illuminate the relation between the meaning of an arithmetical generalisation or theorem and its proof. An attempt is made to meet directly some of Wittgenstein’s critical comments on the mathematical treatment of infinity and irrational numbers. Journal Article Open Journal of Philosophy 10 01 45 65 Scientific Research Publishing, Inc. 2163-9434 2163-9442 Wittgenstein, Philosophy of Mathematics, Rules, Number Systems, Theorem and Proof 3 1 2020 2020-01-03 10.4236/ojpp.2020.101005 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-10-27T14:37:41.1135266 2020-01-08T10:15:22.9274338 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Geography Richard Startup 1 53147__16232__2c138951ae3a47109513d9c23a774fe4.pdf 53147.pdf 2020-01-08T10:18:11.1485335 Output 356640 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution International License (CC-BY). true eng https://creativecommons.org/licenses/by/4.0/ |
title |
Some Remarks on Wittgenstein’s Philosophy of Mathematics |
spellingShingle |
Some Remarks on Wittgenstein’s Philosophy of Mathematics Richard Startup |
title_short |
Some Remarks on Wittgenstein’s Philosophy of Mathematics |
title_full |
Some Remarks on Wittgenstein’s Philosophy of Mathematics |
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Some Remarks on Wittgenstein’s Philosophy of Mathematics |
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Some Remarks on Wittgenstein’s Philosophy of Mathematics |
title_sort |
Some Remarks on Wittgenstein’s Philosophy of Mathematics |
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d86a8b1f7833763cea35d2b88386d0d4 |
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d86a8b1f7833763cea35d2b88386d0d4_***_Richard Startup |
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Richard Startup |
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Richard Startup |
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Open Journal of Philosophy |
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45 |
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Swansea University |
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2163-9434 2163-9442 |
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10.4236/ojpp.2020.101005 |
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Scientific Research Publishing, Inc. |
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description |
Drawing mainly from the Tractatus Logico-Philosophicus and his middle period writings, strategic issues and problems arising from Wittgenstein’s philosophy of mathematics are discussed. Topics have been so chosen as to assist mediation between the perspective of philosophers and that of mathematicians on their developing discipline. There is consideration of rules within arithmetic and geometry and Wittgenstein’s distinctive approach to number systems whether elementary or transfinite. Examples are presented to illuminate the relation between the meaning of an arithmetical generalisation or theorem and its proof. An attempt is made to meet directly some of Wittgenstein’s critical comments on the mathematical treatment of infinity and irrational numbers. |
published_date |
2020-01-03T04:05:59Z |
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10.997637 |