PP-2005-27: Brouwer's incomplete objects

PP-2005-27: Niekus, Joop (2005) Brouwer's incomplete objects. [Report]

[img]
Preview
Text (Full Text)
PP-2005-27.text.pdf

Download (225kB) | Preview
[img] Text (Abstract)
PP-2005-27.abstract.txt

Download (789B)
[img]
Preview
Text (Full Text (Oct 2005 version))
PP-2005-27.text-Oct-2005.pdf

Download (204kB) | Preview

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 A newly opened source, the unpublished text of a lecture of Brouwer from 1934, fully supports the conclusions of our analysis that: -There is no idealized mathematician involved in the method.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.

Item Type: Report
Report Nr: PP-2005-27
Series Name: Prepublication (PP) Series
Year: 2005
Uncontrolled Keywords: Intuitionism; Choice sequences; Creating subject
Depositing User: joop
Date Deposited: 12 Oct 2016 14:36
Last Modified: 12 Oct 2016 14:36
URI: https://eprints.illc.uva.nl/id/eprint/172

Actions (login required)

View Item View Item