Combining Texts

Ideas for 'On the Question of Absolute Undecidability', '68: Generation of the soul in 'Timaeus'' and 'Sameness and Substance Renewed'

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2 ideas

5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction

11863	(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 / 5. Incompleteness

17894	We have no argument to show a statement is absolutely undecidable [Koellner]
	Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
	From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)