Combining Texts

All the ideas for 'Exigency to Exist in Essences', 'Epistemology Externalized' and 'Remarks on axiomatised set theory'

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10 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
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]
18. Thought / C. Content / 6. Broad Content
It is widely supposed that externalism cannot be reconciled with first-person authority [Davidson]
It is hard to interpret a speaker's actions if we take a broad view of the content [Davidson]
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
The cause of a usage determines meaning, but why is the microstructure of water relevant? [Davidson]