Combining Texts

All the ideas for 'On the Elements of Being: I', 'Grundlagen (Foundations of Theory of Manifolds)' and 'Nonexistent Objects'

expand these ideas     |    start again     |     specify just one area for these texts

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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]

8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes

8508	A 'trope' is an abstract particular, the occurrence of an essence [Williams,DC]

8509	A world is completely constituted by its tropes and their connections [Williams,DC]

8510	'Socrates is wise' means a concurrence sum contains a member of a similarity set [Williams,DC]

9. Objects / A. Existence of Objects / 4. Impossible objects

18948

There is an object for every set of properties (some of which exist, and others don't) [Parsons,T, by Sawyer]