Wittgenstein on the Law of Excluded Middle in mathematics | Tomsk State University Journal of Philosophy, Sociology and Political Science. 2017. № 38. DOI: 10.17223/1998863Х/38/15

Wittgenstein on the Law of Excluded Middle in mathematics

In the paper we show in what degree Wittgenstein's remarks on the Law of Excluded Middle connected with intuitionism, especially with some works of Brouwer and Weyl. we argue that Wittgenstein's approach to the problem was sufficiently original and independent and that Wittgenstein used only general contra-examples to the Law of Excluded Middle propose by Brouwer. In other respects, he developed his own novel line of thought. Also we try to show how can be connected Wittgenstein's turn in philosophy in 1929 with the issue of the Law of Excluded Middle (and with the question of the status of general propositions).

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Keywords

Витгенштейн, Брауэр, Вейль, интуиционизм, закон исключенного третьего, Wittgenstein, Brouwer, Weyl, Intuitionism, the Law of Excluded Middle

Authors

NameOrganizationE-mail
Rodin Kirill A.Siberian State University of Telecommunications and Informaticsrodin.kir@gmail.com
Shaldyakov Maksim N.Tomsk State Universityrodin.kir@gmail.com
Всего: 2

References

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Weyl H. Uber die neue Grundlagenkrise der Mathematik // Gesammelte Abhandlungen (ed. K. Chandrasekharan). Berlin: Springer, 1968. P. 143-80.
Marion M. Wittgenstein, Finitism, and the Foundations of Mathematics. Oxford, 1998.
Brouwer L.E.J. On the Significance of the Principle of Excluded Middle in Mathematics, Especially in Function Theory // From Frege to Godel: A. Sourcebook in Mathematical Logic (ed. van Heijenoort). Cambridge, Mass.: Harvard University, 1967. P. 334-45.
Brouwer L.E.J. The Unreliability of the Logical Principles/ Brouwer L. E. J. Collected Works (ed. A. Heyting). Amsterdam: North-Holland. P. 107-11.
Wittgenstein L. Philosophical remarks. Oxford: Blackwell, 1975.
Ludwig Wittgenstein and the Vienna Circle: from the notes of F. Waismann. Oxford: Black-well, 1979.
Wittgenstein L. Remarks on the Foundations of Mathematics. Oxford: Blackwell, 1978.
 Wittgenstein on the Law of Excluded Middle in mathematics | Tomsk State University Journal of Philosophy, Sociology and Political Science. 2017. № 38. DOI: 10.17223/1998863Х/38/15

Wittgenstein on the Law of Excluded Middle in mathematics | Tomsk State University Journal of Philosophy, Sociology and Political Science. 2017. № 38. DOI: 10.17223/1998863Х/38/15

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