Combining Texts

All the ideas for 'On Plural Reference and Set Theory', 'Plural Quantification Exposed' and 'On Simple Theories of a Complex World'

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8 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
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
A 'pure logic' must be ontologically innocent, universal, and without presuppositions [Linnebo]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
A 'singulariser' converts a plural like 'number of' to a syntactically neutral form [Cartwright,H, by Hossack]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo]
Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo]
9. Objects / A. Existence of Objects / 1. Physical Objects
The modern concept of an object is rooted in quantificational logic [Linnebo]
14. Science / B. Scientific Theories / 1. Scientific Theory
It seems obvious to prefer the simpler of two theories, on grounds of beauty and convenience [Quine]
There are four suspicious reasons why we prefer simpler theories [Quine]