Numbers and functions in Hilbert's finitism
Taiwanese Journal for History and Philosophy of Science 10:33-60 (1998)
Abstract
David Hilbert's finitistic standpoint is a conception
of elementary number theory designed to answer the intuitionist doubts
regarding the security and certainty of mathematics. Hilbert was
unfortunately not exact in delineating what that viewpoint was, and
Hilbert himself changed his usage of the term through the 1920s and 30s.
The purpose of this paper is to outline what the main problems are in
understanding Hilbert and Bernays on this issue, based on some
publications by them which have so far received little attention, and on
a number of philosophical reconstructions of the viewpoint (in
particular, by Hand, Kitcher, and Tait).
Keywords
No keywords specified (fix it)
Categories
PhilPapers/Archive ID
ZACNAF
Upload history
Archival date: 2017-08-13
View other versions
View other versions
Added to PP index
2017-08-13
Total views
103 ( #38,534 of 57,098 )
Recent downloads (6 months)
13 ( #43,427 of 57,098 )
2017-08-13
Total views
103 ( #38,534 of 57,098 )
Recent downloads (6 months)
13 ( #43,427 of 57,098 )
How can I increase my downloads?
Downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.