Combining Texts

All the ideas for 'fragments/reports', 'The Scientific Image' and 'Realism in Mathematics'

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10 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
10. Modality / A. Necessity / 11. Denial of Necessity
Empiricists deny what is unobservable, and reject objective modality [Fraassen]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
To 'accept' a theory is not to believe it, but to believe it empirically adequate [Fraassen, by Bird]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
14. Science / B. Scientific Theories / 2. Aim of Science
To accept a scientific theory, we only need to believe that it is empirically adequate [Fraassen]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
Why should the true explanation be one of the few we have actually thought of? [Fraassen, by Bird]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
An explanation is just descriptive information answering a particular question [Fraassen, by Salmon]