Combining Texts

All the ideas for 'fragments/reports', 'Realism in Mathematics' and 'Public Text and Common Reader'

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11 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]
21. Aesthetics / A. Aesthetic Experience / 3. Taste
Literary meaning emerges in comparisons, and tradition shows which comparisons are relevant [Scruton]
21. Aesthetics / B. Nature of Art / 5. Art as Language
In literature, word replacement changes literary meaning [Scruton]
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
Without intentions we can't perceive sculpture, but that is not the whole story [Scruton]
21. Aesthetics / C. Artistic Issues / 3. Artistic Representation
In aesthetic interest, even what is true is treated as though it were not [Scruton]
21. Aesthetics / C. Artistic Issues / 5. Objectivism in Art
We can be objective about conventions, but love of art is needed to understand its traditions [Scruton]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]