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17621 | What matters in mathematics is its objectivity, not the existence of the objects [Dummett] |
Full Idea: As Kreisel has remarked, what is important is not the existence of mathematical objects, but the objectivity of mathematical statements. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: [see Maddy 2011:115 for the history of this idea] It seems rather unclear where Frege stands on objectivity. Maddy embraces it, following up this idea, and Tyler Burge's fat book on objectivity. |