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13392 | Philosophers reduce complex English kind-quantifiers to the simplistic first-order quantifier [Jubien] |
Full Idea: There is a readiness of philosophers to 'translate' English, with its seeming multitude of kind-driven quantifiers, into first-order logic, with its single wide-open quantifier. | |
From: Michael Jubien (Possibility [2009], 4.1) | |
A reaction: As in example he says that reference to a statue involves a 'statue-quantifier'. Thus we say things about the statue that we would not say about the clay, which would involve a 'clay-quantifier'. |
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]) |