Ideas from 'Plural Quantification' by Øystein Linnebo [2008], by Theme Structure

[found in 'Stanford Online Encyclopaedia of Philosophy' (ed/tr Stanford University) [plato.stanford.edu ,-]].

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2. Reason / D. Definition / 12. Paraphrase

10633

'Some critics admire only one another' cannot be paraphrased in singular first-order

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic

10638

A pure logic is wholly general, purely formal, and directly known

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

10635

Second-order quantification and plural quantification are different

10640

Instead of complex objects like tables, plurally quantify over mereological atoms tablewise

10641

Traditionally we eliminate plurals by quantifying over sets

10636

Plural plurals are unnatural and need a first-level ontology

10639

Plural quantification may allow a monadic second-order theory with first-order ontology

7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment

10643

We speak of a theory's 'ideological commitments' as well as its 'ontological commitments'

7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems

10637

Ordinary speakers posit objects without concern for ontology

19. Language / C. Assigning Meanings / 3. Predicates

10634

Predicates are 'distributive' or 'non-distributive'; do individuals do what the group does?