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F.W. ローヴェアによる随伴関手を用いた集合論の基礎の理解とその展望

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Title: F.W. ローヴェアによる随伴関手を用いた集合論の基礎の理解とその展望
Other Titles: F.W. Lawvere's understanding of the foundation of the set theory using adjoint functors and its perspective
Authors: 深山, 洋平1 Browse this author
Authors(alt): Fukayama, Yohei1
Issue Date: 18-Jul-2006
Publisher: 北海道大学哲学会
Journal Title: 哲学
Journal Title(alt): Annals of the Philosophical Society of Hokkaido University
Volume: 42
Start Page: 1
End Page: 14
Abstract: F.W. Lawvere described a certain interesting feature on G. Cantor's theory of cardinal numbers, using adjoint functors from the category theory. This paper provides a brief overview of the method he took, and then consider its significance. As a consequence, it is shown that he argues Cantor's theory of cardinal numbers in relationship to structured sets (specifically with topological structures,) and from the method we can get a hint to approach the nature of sets.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/35041
Appears in Collections:哲学 = Annals of the Philosophical Society of Hokkaido University > 第42号

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