Combining Texts

All the ideas for 'General Draft', 'Philosophy of Mathematics' and 'Epistemic Two-Dimensional Semantics'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy is homesickness - the urge to be at home everywhere [Novalis]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
3. Truth / D. Coherence Truth / 1. Coherence Truth
Truth in a scenario is the negation in that scenario being a priori incoherent [Chalmers]
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 / A. A Priori Knowledge / 4. A Priori as Necessities
A sentence is a priori if no possible way the world might actually be could make it false [Chalmers]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Desire for perfection is an illness, if it turns against what is imperfect [Novalis]