Combining Texts

All the ideas for 'fragments/reports', 'The Beautiful in Music' and 'The Concept of Logical Consequence'

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6 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence

18812

Split out the logical vocabulary, make an assignment to the rest. It's logical if premises and conclusion match [Tarski, by Rumfitt]

5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=

13344

X follows from sentences K iff every model of K also models X [Tarski]

5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models

13343

A 'model' is a sequence of objects which satisfies a complete set of sentential functions [Tarski]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

13007

Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]

19. Language / E. Analyticity / 1. Analytic Propositions

13345

Sentences are 'analytical' if every sequence of objects models them [Tarski]

21. Aesthetics / C. Artistic Issues / 4. Emotion in Art

20344

Music is not an expressive art, because it expresses no familiar emotions [Hanslick, by Wollheim]