Combining Texts

All the ideas for 'Plural Quantification Exposed', 'Recent Debates on the A Priori' and 'Quantification and Descriptions'

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8 ideas

2. Reason / D. Definition / 7. Contextual Definition
18776 Contextual definitions eliminate descriptions from contexts [Linsky,B]
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 / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
18774 Definite descriptions, unlike proper names, have a logical structure [Linsky,B]
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]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
9226 If mathematical theories conflict, it may just be that they have different subject matter [Field,H]
9. Objects / A. Existence of Objects / 1. Physical Objects
10782 The modern concept of an object is rooted in quantificational logic [Linnebo]