Combining Texts

All the ideas for 'Exigency to Exist in Essences', 'Russell' and 'Letters to Frege'

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9 ideas

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox

13365

Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell]

10711

Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

6408	Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]

7. Existence / A. Nature of Existence / 5. Reason for Existence

19400

Possibles demand existence, so as many of them as possible must actually exist [Leibniz]

19401

God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]

8. Modes of Existence / B. Properties / 11. Properties as Sets

9127	Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen]

10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds

19402

The actual universe is the richest composite of what is possible [Leibniz]

12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence

6414	Two propositions might seem self-evident, but contradict one another [Grayling]

18. Thought / C. Content / 6. Broad Content

7531	We don't assert private thoughts; the objects are part of what we assert [Russell]