Combining Philosophers

Ideas for Eubulides, Charles Taylor and Michal Walicki

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

17758

Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion [Walicki]

17755

Ordinals are the empty set, union with the singleton, and any arbitrary union of ordinals [Walicki]

17756

The union of finite ordinals is the first 'limit ordinal'; 2ω is the second... [Walicki]

17760

Two infinite ordinals can represent a single infinite cardinal [Walicki]

17757

Members of ordinals are ordinals, and also subsets of ordinals [Walicki]