Brouwer's Incomplete Objects

History and Philosophy of Logic 31 (1):31-46 (2011)
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 A newly opened source, the unpublished text of a lecture of Brouwer from 1934, fully supports the conclusions of our analysis that: - There is no idealized mathematician involved in the method;- The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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Enrico Martino (1985). On the Brouwerian Concept of Negative Continuity. Journal of Philosophical Logic 14 (4):379 - 398.

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