Combining Texts

All the ideas for 'Introductions to 'Aesthetics and the Phil of Art'', 'On the Nature of Truth and Falsehood' and 'On the Question of Absolute Undecidability'

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11 ideas

3. Truth / C. Correspondence Truth / 1. Correspondence Truth
For Russell, both propositions and facts are arrangements of objects, so obviously they correspond [Horwich on Russell]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
19. Language / D. Propositions / 6. Propositions Critique
In 1906, Russell decided that propositions did not, after all, exist [Russell, by Monk]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Modern attention has moved from the intrinsic properties of art to its relational properties [Lamarque/Olson]
21. Aesthetics / B. Nature of Art / 1. Defining Art
Early 20th cent attempts at defining art focused on significant form, intuition, expression, unity [Lamarque/Olson]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
The dualistic view says works of art are either abstract objects (types), or physical objects [Lamarque/Olson]