科学哲学
Online ISSN : 1883-6461
Print ISSN : 0289-3428
ISSN-L : 0289-3428
依頼論文
現代の数学の哲学
― その原型の回顧的点描 ―
野本 和幸
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ジャーナル フリー

2015 年 48 巻 2 号 p. 13-32

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    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.
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© 2015 日本科学哲学会
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