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9876 | Set theory isn't part of logic, and why reduce to something more complex? [Dummett] |
Full Idea: The two frequent modern objects to logicism are that set theory is not part of logic, or that it is of no interest to 'reduce' a mathematical theory to another, more complex, one. | |
From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.18) | |
A reaction: Dummett says these are irrelevant (see context). The first one seems a good objection. The second one less so, because whether something is 'complex' is a quite different issue from whether it is ontologically more fundamental. |