Combining Texts

All the ideas for 'fragments/reports', 'Plural Quantification Exposed' and 'Reference and Generality (3rd ed)'

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11 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

23367

Even pointing a finger should only be done for a reason [Epictetus]

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 / 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]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts

12154

Are 'word token' and 'word type' different sorts of countable objects, or two ways of counting? [Geach, by Perry]

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

10782

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

9. Objects / A. Existence of Objects / 6. Nihilism about Objects

8969	We should abandon absolute identity, confining it to within some category [Geach, by Hawthorne]

9. Objects / F. Identity among Objects / 3. Relative Identity

16075

Denial of absolute identity has drastic implications for logic, semantics and set theory [Wasserman on Geach]

12152

Identity is relative. One must not say things are 'the same', but 'the same A as' [Geach]

9. Objects / F. Identity among Objects / 8. Leibniz's Law

16073

Leibniz's Law is incomplete, since it includes a non-relativized identity predicate [Geach, by Wasserman]