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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5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
A pure logic is wholly general, purely formal, and directly known
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Second-order quantification and plural quantification are different
'Some critics admire only one another' cannot be paraphrased in singular first-order
Plural plurals are unnatural and need a first-level ontology
Plural quantification may allow a monadic second-order theory with first-order ontology
Instead of complex objects like tables, plurally quantify over mereological atoms tablewise
Traditionally we eliminate plurals by quantifying over sets
7. Existence / D. Theories of Reality / 10. Ontological Commitment / a. Ontological commitment
We speak of a theory's 'ideological commitments' as well as its 'ontological commitments'
7. Existence / D. Theories of Reality / 10. Ontological Commitment / e. Ontological commitment problems
Ordinary speakers posit objects without concern for ontology
19. Language / A. Language / 6. Predicates
Predicates are 'distributive' or 'non-distributive'; do individuals do what the group does?