Brouwer's Incomplete Objects

History and Philosophy of Logic 31 (1):31-46 (2010)
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Abstract

Brouwer's papers after 1945 are characterized by a technique known as the method of the creating subject. It has been supposed that the method was radically new in his work, since Brouwer seems to introduce an idealized mathematician into his mathematical practice. A newly opened source, the unpublished text of a lecture of Brouwer from 1934, fully supports the conclusions of our analysis that: - There is no idealized mathematician involved in the method;- The method was not new at all;- Brouwer uses an incomplete sequence, also known as choice sequence, in this method, which is special. The method does not take its place in the standard works on choice sequences

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Citations of this work

On the relation between modality and tense.Fabrice Correia & Sven Rosenkranz - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (6):586-604.
Brouwer and Nietzsche: Views about Life, Views about Logic.Miriam Franchella - 2015 - History and Philosophy of Logic 36 (4):367-391.
Choice Sequences and the Continuum.Casper Storm Hansen - 2020 - Erkenntnis 87 (2):517-534.

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References found in this work

Elements of Intuitionism.Michael Dummett - 1977 - New York: Oxford University Press. Edited by Roberto Minio.
Informal Rigour and Completeness Proofs.Georg Kreisel - 1967 - In Imre Lakatos (ed.), Problems in the philosophy of mathematics. Amsterdam,: North-Holland Pub. Co.. pp. 138--157.
Elements of Intuitionism.Michael Dummett - 1980 - British Journal for the Philosophy of Science 31 (3):299-301.
Brouwer's Cambridge lectures on intuitionism.Luitzen Egbertus Jan Brouwer - 1981 - New York: Cambridge University Press. Edited by D. van Dalen.

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