現代数学の系譜 カントル 超限集合論at MATH
現代数学の系譜 カントル 超限集合論
- 暇つぶし2ch94: natural way of representing either the general notions of relation or of function. This means that his presentation of set theory has no natural way of representing those parts of mathematics (like real analysis) in which the general notion of function plays a fundamental part. 3.2.2 Ordinality Zermelo's idea (1908a) was pursued by Kuratowski in the 1920s, thereby generalising and systematising work, not just of Zermelo, but of Hessenberg and Hausdorff too, giving a simple set of necessary and sufficient conditions for a subset ordering to represent a linear ordering. He also argues forcefully that it is in fact undesirable for set theory to go beyond this and present a general theory of ordinal numbers: (引用終り)
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