Combining Philosophers

Ideas for Hermarchus, Kit Fine and Anon (Upan)

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2 ideas

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

12222	Substitutional quantification is referential quantification over expressions [Fine,K]
	Full Idea: Substitutional quantification may be regarded as referential quantification over expressions.
	From: Kit Fine (Quine on Quantifying In [1990], p.124)
	A reaction: This is an illuminating gloss. Does such quantification involve some ontological commitment to expressions? I feel an infinite regress looming.

5. Theory of Logic / G. Quantification / 5. Second-Order Quantification

10569	If you ask what F the second-order quantifier quantifies over, you treat it as first-order [Fine,K]
	Full Idea: We are tempted to ask of second-order quantifiers 'what are you quantifying over?', or 'when you say "for some F" then what is the F?', but these questions already presuppose that the quantifiers are first-order.
	From: Kit Fine (Replies on 'Limits of Abstraction' [2005])