Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'Lecture on Nominalism' and 'The Wealth of Nations'

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2 ideas

5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic

21698	All relations, apart from ancestrals, can be reduced to simpler logic [Quine]
	Full Idea: Much of the theory of relations can be developed as a virtual theory, in which we seem to talk of relations, but can explain our notation in terms {finally] of just the logic of truth-functions, quantification and identity. The exception is ancestrals.
	From: Willard Quine (Lecture on Nominalism [1946], §8)
	A reaction: The irreducibility of ancestrals is offered as a reason for treating sets as universals.

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)