Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'Universals and Particulars' and 'The Concept of Logical Consequence'

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7 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic

9390	Logic guides thinking, but it isn't a substitute for it [Rumfitt]

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]

8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication

4442	Most thinkers now reject self-predication (whiteness is NOT white) so there is no Third Man problem [Armstrong]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

9389	Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]

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

13345

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