Combining Texts

All the ideas for 'Exigency to Exist in Essences', 'An Axiomatization of Set Theory' and 'Personal Identity and Memory'

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7 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
All the axioms for mathematics presuppose set theory [Neumann]
7. Existence / A. Nature of Existence / 5. Reason for Existence
Possibles demand existence, so as many of them as possible must actually exist [Leibniz]
God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
The actual universe is the richest composite of what is possible [Leibniz]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
If memory is the sole criterion of identity, we ought to use it for other people too [Shoemaker]
Bodily identity is one criterion and memory another, for personal identity [Shoemaker, by PG]