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10549 | Since abstract objects cannot be picked out, we must rely on identity statements [Dummett] |
Full Idea: Since we cannot pick an abstract object out from its surrounding, all that we need to master is the use of statements of identity between objects of a certain kind. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: This is the necessary Fregean preliminary to using a principle of abstraction to identify two objects which are abstract (when the two objects are in an equivalence relation). Presumably circular squares and square circles are identical? |