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Ideas for 'On the Question of Absolute Undecidability', 'Concluding Unscientific Postscript' and 'Ontological Relativity'

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2 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

21642	If quantification is all substitutional, there is no ontology [Quine]
	Full Idea: Ontology is meaningless for a theory whose only quantification is substitutionally construed.
	From: Willard Quine (Ontological Relativity [1968], p.64), quoted by Thomas Hofweber - Ontology and the Ambitions of Metaphysics 03.5.1 n18
	A reaction: Hofweber views it as none the worse for that, since clearly lots of quantification has no ontological commitment at all. But he says it is rightly called 'a nominalists attempt at a free lunch'.

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)