Combining Texts

All the ideas for 'General Draft', 'Knowledge and the Philosophy of Number' and 'Outline of a Theory of Truth'

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15 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
22026 Philosophy is homesickness - the urge to be at home everywhere [Novalis]
3. Truth / F. Semantic Truth / 2. Semantic Truth
15327 Kripke's semantic theory has actually inspired promising axiomatic theories [Kripke, by Horsten]
15343 Kripke offers a semantic theory of truth (involving models) [Kripke, by Horsten]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
14966 The Tarskian move to a metalanguage may not be essential for truth theories [Kripke, by Gupta]
14967 Certain three-valued languages can contain their own truth predicates [Kripke, by Gupta]
3. Truth / G. Axiomatic Truth / 3. KF Truth Axioms
16328 Kripke classified fixed points, and illuminated their use for clarifications [Kripke, by Halbach]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
23623 Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
23624 The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
23625 Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
23628 The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
23627 'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
23626 Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
23621 Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
23622 We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
19591 Desire for perfection is an illness, if it turns against what is imperfect [Novalis]