Combining Texts

All the ideas for 'fragments/reports', 'Sets and Numbers' and 'Truth and Meaning'

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14 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
The master science is physical objects divided into sets [Maddy]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
There is a huge range of sentences of which we do not know the logical form [Davidson]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy]
Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy]
Numbers are properties of sets, just as lengths are properties of physical objects [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Sets exist where their elements are, but numbers are more like universals [Maddy]
Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
If mathematical objects exist, how can we know them, and which objects are they? [Maddy]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy]
19. Language / C. Assigning Meanings / 4. Compositionality
Compositionality explains how long sentences work, and truth conditions are the main compositional feature [Davidson, by Lycan]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Davidson thinks Frege lacks an account of how words create sentence-meaning [Davidson, by Miller,A]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
You can state truth-conditions for "I am sick now" by relativising it to a speaker at a time [Davidson, by Lycan]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Should we assume translation to define truth, or the other way around? [Blackburn on Davidson]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]