Combining Texts

Ideas for 'Brainstorms:Essays on Mind and Psychology', 'The Concept of Logical Consequence' and 'Lecture on Nominalism'

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4 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
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 |=
X follows from sentences K iff every model of K also models X [Tarski]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
All relations, apart from ancestrals, can be reduced to simpler logic [Quine]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A 'model' is a sequence of objects which satisfies a complete set of sentential functions [Tarski]