Kagaku tetsugaku
Online ISSN : 1883-6461
Print ISSN : 0289-3428
ISSN-L : 0289-3428
A Retrospective Glimpse of Some Turning Points in the Contemporary Philosophy of Mathematics
from Dedekind to Gödel
Kazuyuki Nomoto
Author information
JOURNAL FREE ACCESS

2015 Volume 48 Issue 2 Pages 13-32

Details
Abstract
    In the first half of this essay, I try to trace the development of Dedekindʼs theory of numbers from his inaugural lecture to his monumental theory of natural numbers, in which Dedekind complementarily employed his genetic and axiomatic methods. Further I briefly mention Fregean logicism. In the second half, I am concerned with the emergence of meta-mathematical inquiries into the completeness theorems proved by Post,Bernays, Gödel, and with Gödel's anticipation of his Incompleteness Theorem.
Content from these authors
© 2015 The Philosophy of Science Society, Japan
Previous article Next article
feedback
Top