Combining Texts

All the ideas for 'Isagoge ('Introduction')', 'From Supervenience to Superdupervenience' and 'Sets and Numbers'

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15 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
The master science is physical objects divided into sets [Maddy]
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]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
'Superdupervenience' is supervenience that has a robustly materialistic explanation [Horgan,T]
'Global' supervenience is facts tracking varying physical facts in every possible world [Horgan,T]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Don't just observe supervenience - explain it! [Horgan,T]
7. Existence / D. Theories of Reality / 6. Physicalism
Physicalism needs more than global supervenience on the physical [Horgan,T]
Materialism requires that physics be causally complete [Horgan,T]
8. Modes of Existence / D. Universals / 1. Universals
Are genera and species real or conceptual? bodies or incorporeal? in sensibles or separate from them? [Porphyry]
14. Science / B. Scientific Theories / 3. Instrumentalism
Instrumentalism normally says some discourse is useful, but not genuinely true [Horgan,T]