Combining Philosophers

Ideas for Lynch,MP/Glasgow,JM, David Wiggins and Joseph Almog

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2 ideas

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'.
5. Theory of Logic / K. Features of Logics / 6. Compactness
If a concept is not compact, it will not be presentable to finite minds [Almog]
     Full Idea: If the notion of 'logically following' in your language is not compact, it will not be locally presentable to finite minds.
     From: Joseph Almog (Nature Without Essence [2010], 02)