Combining Texts

All the ideas for 'fragments/reports', 'Minds, Brains and Science' and 'Remarks on axiomatised set theory'

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8 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]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]
17. Mind and Body / C. Functionalism / 7. Chinese Room
Maybe understanding doesn't need consciousness, despite what Searle seems to think [Searle, by Chalmers]
A program won't contain understanding if it is small enough to imagine [Dennett on Searle]
If bigger and bigger brain parts can't understand, how can a whole brain? [Dennett on Searle]