Daidzein
发表于 2025-3-21 19:31:29
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走路左晃右晃
发表于 2025-3-21 21:20:22
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integral
发表于 2025-3-22 01:23:44
Zermelo 1904, from what was later called by Zermelo “the axiom of choice [.]” (AC), a principle formulated for the first time in this letter. Shortly after, there appeared in volume 59 of the . a paper by Zermelo (no date is given for its receipt) of slightly less than three pages which sets out this proof. The
欢呼
发表于 2025-3-22 08:08:23
Zermelo 1908a,n § 2, the new proof that I give below of the same theorem may yet be of interest, since, on the one hand, it presupposes no specific theorems of set theory and, on the other, it brings out, more clearly than the first proof did, the purely formal character of the well-ordering, which has nothing at
macular-edema
发表于 2025-3-22 10:47:49
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奴才
发表于 2025-3-22 13:23:50
Zermelo 1909a,xpressed by the opening sentence of .:.Anyone wishing to found arithmetic on the theory of natural numbers as the ., faces the task, first and foremost, of defining .; for cardinal number is by nature a property of sets, and every statement about finite cardinal numbers can always be expressed as on
奴才
发表于 2025-3-22 20:51:59
Zermelo 1909b,r is by nature a property of sets, and every statement about finite cardinal numbers can always be expressed as one about finite sets. In what follows we shall try to derive the most important property of the natural numbers, namely the ., from as simple a definition as possible of finite sets, and
Palate
发表于 2025-3-22 23:45:04
Zermelo 1913,rst mathematical analysis of strategies in games. While the paper claims to be an application of set theory, and while it would have appeared that way to Zermelo’s contemporaries, the set-theoretic notions in the paper have since become part of standard mathematical practice, and to modern eyes the
nocturia
发表于 2025-3-23 03:53:34
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防锈
发表于 2025-3-23 05:54:07
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