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Ideas for 'fragments/reports', 'On Plural Reference and Set Theory' and 'Categories'

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2 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Predications of predicates are predications of their subjects [Aristotle]
     Full Idea: Whenever one thing is predicated of another as of a subject, all things said of what is predicated will be said of the subject also.
     From: Aristotle (Categories [c.331 BCE], 01b10)
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
A 'singulariser' converts a plural like 'number of' to a syntactically neutral form [Cartwright,H, by Hossack]
     Full Idea: Helen Cartwright calls 'a number of' a 'singulariser', an expression whose linguistic function is to convert to a syntactically neutral form an expression whose semantic value remains plural. It is a great convenience grammatically.
     From: report of Helen Cartwright (On Plural Reference and Set Theory [1993]) by Keith Hossack - Plurals and Complexes 2
     A reaction: Compare Hofweber's Idea 10004, suggesting it is a crucial psychological convenience for reasoning, as well as a 'grammatical' convenience.