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Cantor: "Beitrage zur Begrudung der transfiniten Mengenlehre"에 관하여
朴公來,丁椿澤 木浦大學校基礎科學硏究所 1987 基礎科學硏究誌 Vol.5 No.-
Cantor's set theory is, as well known, an attempt to treat actual infinities, besides improper infinities in process unifying both of continuous and discontinuous, objects. The best one of these examples, he suggested, was his new numbers, the transfinite numbers. With the help of his new transfinite numbers, Cantor was certain that he could define more precisely the concept of power [Machtigkeit]. This paper surveys his last major mathematical publication, "Beitrage zur Begrudung der transfiniten Mengenlehre", and its position in the history of mathematics.
Application of the Seifert and Van Kampen Theorem
Kim,Hyung-Kook,Jung,Choon-Taek 木浦大學校基礎科學硏究所 1984 基礎科學硏究誌 Vol.2 No.-
In this paper, by using the Seifert and Van Kampen Theorem, we investigate relations among induced homomorphisms by inclusion maps in order to determine the fundamental group of an arcwise-connected space. And we also show that the knot group Ⅱ(R³-K) is isomorphic to the fundamental group Ⅱ(S³-K).
An Interpretation on Godel's Incompleteness Theorem
Kim,Yong-Kuck,Jung,Choon-Taek 木浦大學校基礎科學硏究所 1986 基礎科學硏究誌 Vol.4 No.-
In this paper, we make an attempt so as to renovate interpretations delivered concerning Godel's Incompleteness Theorem, that its whole proof processes including the undecidable Formula, along with primitive recursive predicates as well as primitive recursive functions, and correspondence between the system of Metamathematics and that of Natural numbers introduced, should be reformed briefly and consistently in a more generalized appearance.