Combining Texts

All the ideas for 'General Facts,Phys Necessity, and Metaph of Time', 'The Concept of Logical Consequence' and 'Plural Quantification Exposed'

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10 ideas

3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
17962 The truth-maker principle is that every truth has a sufficient truth-maker [Forrest]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
10779 A comprehension axiom is 'predicative' if the formula has no bound second-order variables [Linnebo]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
10781 A 'pure logic' must be ontologically innocent, universal, and without presuppositions [Linnebo]
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 / G. Quantification / 6. Plural Quantification
10783 Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo]
10778 Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo]
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]
9. Objects / A. Existence of Objects / 1. Physical Objects
10782 The modern concept of an object is rooted in quantificational logic [Linnebo]
19. Language / E. Analyticity / 1. Analytic Propositions
13345 Sentences are 'analytical' if every sequence of objects models them [Tarski]