Combining Texts

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

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6 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
15946 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
15911 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
17447 Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
14802 Physical and psychical laws of mind are either independent, or derived in one or other direction [Peirce]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
14800 The world is full of variety, but laws seem to produce uniformity [Peirce]
27. Natural Reality / G. Biology / 3. Evolution
14801 Darwinian evolution is chance, with the destruction of bad results [Peirce]