Combining Texts

All the ideas for 'fragments/reports', 'Introspection' and 'Philosophy of Mathematics'

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9 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
The adverbial account of sensation says not 'see a red image' but be 'appeared to redly' [Shoemaker]
16. Persons / C. Self-Awareness / 1. Introspection
For true introspection, must we be aware that we are aware of our mental events? [Shoemaker]
Empirical foundationalism says basic knowledge is self-intimating, and incorrigible or infallible [Shoemaker]
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]