Combining Texts

All the ideas for 'Plural Quantification Exposed', 'The Structure of Science' and 'A Plea for Substitutional Quantification'

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9 ideas

4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic

9470	Modal logic is not an extensional language [Parsons,C]

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 / G. Quantification / 4. Substitutional Quantification

9469	Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]

9468	On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]

5. Theory of Logic / G. Quantification / 6. Plural Quantification

10778

Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo]

10783

Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo]

7. Existence / C. Structure of Existence / 2. Reduction

3425	Reduction has been defined as deriving one theory from another by logic and maths [Nagel,E, by Kim]

9. Objects / A. Existence of Objects / 1. Physical Objects

10782

The modern concept of an object is rooted in quantificational logic [Linnebo]