Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Grundlagen (Foundations of Theory of Manifolds)' and 'The Philosophy of Leibniz'

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4 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
All philosophy should begin with an analysis of propositions [Russell]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]