Combining Texts

All the ideas for 'Perceptual experience has conceptual content', 'Conceptual truth and metaphysical necessity' and 'Sets and Numbers'

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17 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]
10. Modality / C. Sources of Modality / 4. Necessity from Concepts
The necessity of a proposition concerns reality, not our words or concepts [Stalnaker]
Conceptual possibilities are metaphysical possibilities we can conceive of [Stalnaker]
10. Modality / D. Knowledge of Modality / 3. A Posteriori Necessary
Critics say there are just an a priori necessary part, and an a posteriori contingent part [Stalnaker]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A 'centred' world is an ordered triple of world, individual and time [Stalnaker]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
Sense experiences must have conceptual content, since they are possible reasons for judgements [Brewer,B]
18. Thought / C. Content / 6. Broad Content
Meanings aren't in the head, but that is because they are abstract [Stalnaker]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
One view says the causal story is built into the description that is the name's content [Stalnaker]
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
Two-D says that a posteriori is primary and contingent, and the necessity is the secondary intension [Stalnaker]
In one view, the secondary intension is metasemantic, about how the thinker relates to the content [Stalnaker]