Combining Texts

All the ideas for 'Implications', 'Grundlagen (Foundations of Theory of Manifolds)' and 'Concepts and Counting'

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6 ideas

1. Philosophy / H. Continental Philosophy / 6. Deconstruction

8210	Deconstructing philosophy gives the history of concepts, and the repressions behind them [Derrida]

8211	The movement of 'différance' is the root of all the oppositional concepts in our language [Derrida]

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

17462

A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers

17461

Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]