Combining Philosophers
Ideas for H.Putnam/P.Oppenheim, James O. Young and Michal Walicki
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5 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
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Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion [Walicki]
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Members of ordinals are ordinals, and also subsets of ordinals [Walicki]
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Ordinals are the empty set, union with the singleton, and any arbitrary union of ordinals [Walicki]
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The union of finite ordinals is the first 'limit ordinal'; 2ω is the second... [Walicki]
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Two infinite ordinals can represent a single infinite cardinal [Walicki]
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