Combining Texts

All the ideas for 'Subjectivist's Guide to Objective Chance', 'The Concept of Logical Consequence' and 'Reference and Essence: seven appendices'

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7 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 / J. Model Theory in Logic / 1. Logical Models
A 'model' is a sequence of objects which satisfies a complete set of sentential functions [Tarski]
7. Existence / D. Theories of Reality / 10. Vagueness / g. Degrees of vagueness
It can't be indeterminate whether x and y are identical; if x,y is indeterminate, then it isn't x,x [Salmon,N]
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
Kripke and Putnam made false claims that direct reference implies essentialism [Salmon,N]
19. Language / E. Analyticity / 1. Analytic Propositions
Sentences are 'analytical' if every sequence of objects models them [Tarski]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]