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
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'Some critics admire only one another' cannot be paraphrased in singular first-order
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5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
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A pure logic is wholly general, purely formal, and directly known
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5. Theory of Logic / G. Quantification / 6. Plural Quantification
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Second-order quantification and plural quantification are different
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10641
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Traditionally we eliminate plurals by quantifying over sets
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Instead of complex objects like tables, plurally quantify over mereological atoms tablewise
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10636
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Plural plurals are unnatural and need a first-level ontology
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10639
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Plural quantification may allow a monadic second-order theory with first-order ontology
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7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
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We speak of a theory's 'ideological commitments' as well as its 'ontological commitments'
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7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
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Ordinary speakers posit objects without concern for ontology
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19. Language / C. Assigning Meanings / 3. Predicates
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Predicates are 'distributive' or 'non-distributive'; do individuals do what the group does?
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