PP-2005-27: Brouwer's incomplete objects

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

[thumbnail of Full Text]
Text (Full Text)

Download (225kB) | Preview
[thumbnail of Abstract] Text (Abstract)

Download (789B)
[thumbnail of Full Text (Oct 2005 version)]
Text (Full Text (Oct 2005 version))

Download (204kB) | Preview


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opened source, the unpublished text of a lecture of Brouwer from 1934,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