Combining Texts

All the ideas for 'Certain Physical Essays', 'Philosophical Grammar' and 'Models and Reality'

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


8 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro]
V = L just says all sets are constructible [Putnam]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematics everything is algorithm and nothing is meaning [Wittgenstein]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
It is unfashionable, but most mathematical intuitions come from nature [Putnam]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Explanation is generally to deduce it from something better known, which comes in degrees [Boyle]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
The best explanations get down to primary basics, but others go less deep [Boyle]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Consider: "Imagine this butterfly exactly as it is, but ugly instead of beautiful" [Wittgenstein]