Combining Texts

All the ideas for 'The Concept of Logical Consequence', 'Review of Parsons (1983)' and 'Philosophia Epicurea'

expand these ideas     |    start again     |     specify just one area for these texts

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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 / 4. Mathematical Empiricism / b. Indispensability of mathematics

18198

Mathematics is part of science; transfinite mathematics I take as mostly uninterpreted [Quine]

9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle

16640

Form is the principle that connects a thing's constitution (rather than being operative) [Hill,N]

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

13345

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