Combining Texts

All the ideas for 'reports', 'Sets and Numbers' and 'Perception'

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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 / A. Necessity / 8. Transcendental Necessity
Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
11. Knowledge Aims / A. Knowledge / 6. Knowing How
Ryle's dichotomy between knowing how and knowing that is too simplistic [Maund]
12. Knowledge Sources / B. Perception / 1. Perception
Perception is sensation-then-concept, or direct-concepts, or sensation-saturated-in-concepts [Maund]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Sense-data have an epistemological purpose (foundations) and a metaphysical purpose (explanation) [Maund]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
One thesis says we are not aware of qualia, but only of objects and their qualities [Maund]
The Myth of the Given claims that thought is rationally supported by non-conceptual experiences [Maund]
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
Mountains are adverbial modifications of the earth, but still have object-characteristics [Maund]
Adverbialism tries to avoid sense-data and preserve direct realism [Maund]
18. Thought / C. Content / 1. Content
Thought content is either satisfaction conditions, or exercise of concepts [Maund, by PG]