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Ideas for 'fragments/reports', 'On Platonism in Mathematics' and 'Words without Objects'

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2 ideas

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
If plural variables have 'some values', then non-count variables have 'some value' [Laycock]
     Full Idea: If a plural variable is said to have not a single value but some values (some clothes), then a non-count variable may have, more quirkier still, some value (some clothing, for instance) in ranging arbitrarily over the scattered stuff.
     From: Henry Laycock (Words without Objects [2006], 4.4)
     A reaction: We seem to need the notion of a sample, or an archetype, to fit the bill. I hereby name them 'sample variables'. Damn - Laycock got there first, on p.137.
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plurals are semantical but not ontological [Laycock]
     Full Idea: Plurality is a semantical but not also an ontological construction.
     From: Henry Laycock (Words without Objects [2006], Intro 4)
     A reaction: I love it when philososphers make simple and illuminating remarks like this. You could read 500 pages of technical verbiage about plural reference without grasping that this is the underlying issue. Sounds right to me.