Combining Texts

All the ideas for 'Quantifiers and Propositional Attitudes', 'Realism, Mathematics and Modality' 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 / C. Sources of Mathematics / 9. Fictional Mathematics

8714	Fictionalists say 2+2=4 is true in the way that 'Oliver Twist lived in London' is true [Field,H]

19. Language / A. Nature of Meaning / 10. Denial of Meanings

9471	Intensions are creatures of darkness which should be exorcised [Quine]

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

13345

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