Combining Texts

Ideas for 'General Facts,Phys Necessity, and Metaph of Time', 'Sameness and Substance Renewed' and 'Ontological Categories'

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2 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
We negate predicates but do not negate names [Westerhoff]
     Full Idea: We negate predicates but do not negate names.
     From: Jan Westerhoff (Ontological Categories [2005], §88)
     A reaction: This is a point for anyone like Ramsey who wants to collapse the distinction between particulars and universals, or singular terms and their predicates.
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
(λx)[Man x] means 'the property x has iff x is a man'. [Wiggins]
     Full Idea: The Lambda Abstraction Operator: We can write (λx)[Man x], which may be read as 'the property that any x has just if x is a man'.
     From: David Wiggins (Sameness and Substance Renewed [2001], 4.2)
     A reaction: This technical device seems to be a commonplace in modern metaphysical discussions. I'm assuming it can be used to discuss properties without venturing into second-order logic. Presumably we could call the property here 'humanity'.