Combining Texts

All the ideas for 'Outline of a Theory of Truth', 'Maths as a Science of Patterns' and 'Aesthetics'

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17 ideas

3. Truth / F. Semantic Truth / 2. Semantic Truth
Kripke's semantic theory has actually inspired promising axiomatic theories [Kripke, by Horsten]
Kripke offers a semantic theory of truth (involving models) [Kripke, by Horsten]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
The Tarskian move to a metalanguage may not be essential for truth theories [Kripke, by Gupta]
Certain three-valued languages can contain their own truth predicates [Kripke, by Gupta]
3. Truth / G. Axiomatic Truth / 3. KF Truth Axioms
Kripke classified fixed points, and illuminated their use for clarifications [Kripke, by Halbach]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
Axioms are often affirmed simply because they produce results which have been accepted [Resnik]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik]
Sets are positions in patterns [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik]
There are too many mathematical objects for them all to be mental or physical [Resnik]
Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik]
Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Aesthetics presupposes a distinctive sort of experience, and a unified essence for art [Gardner]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
Art works originate in the artist's mind, and appreciation is re-creating this mental object [Gardner]
21. Aesthetics / C. Artistic Issues / 5. Objectivism in Art
Aesthetic objectivists must explain pleasure being essential, but not in the object [Gardner]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Aesthetic judgements necessarily require first-hand experience, unlike moral judgements [Gardner]