21/10/23 12:15:45.27 VEyje5yT.net
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Bourbaki Theory of Sets 1954 (下記)
これの本文は検索できなかったが、書評(下記)によれば
明らかに、この後に続く数学の基礎、
つまりは、一般の数学用の集合論であることは明白ですね
(参考)
URLリンク(en.wikipedia.org)
Nicolas Bourbaki
Elements de mathematique[118][h]
Year Book References
1954 Theory of Sets [126]
References
126 Bagemihl, Frederick (1958). "Review: Theorie des ensembles (Chapter III)" (PDF). Bulletin of the American Mathematical Society. 64 (6): 390?91. doi:10.1090/s0002-9904-1958-10248-7.
URLリンク(www.ams.org)
URLリンク(www.ams.org)
into six sections:
1. Order relations, ordered sets;
2. Well-ordered sets (including transfinite induction and the well-ordering theorem) ;
3. Equivalent sets, cardinals (including Cantons theorem that 2a > a) ;
4. Finite cardinals, finite sets (including mathematical induction);
5. Operations with integers (including combinatorial analysis) ;
6. Infinite sets (including the theorem that a2 = a if a is infinite).
About 35 of the 118 pages of the book consist of exercises,
(引用終り)
以上