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Ideas for 'fragments/reports', 'The Tarskian Turn' and 'Grundlagen (Foundations of Theory of Manifolds)'

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

15911

Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

15364

English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten]