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6108 | Maths can be deduced from logical axioms and the logic of relations [Russell] |
Full Idea: I think that no one will dispute that from certain ideas and axioms of formal logic, but with the help of the logic of relations, all pure mathematics can be deduced. | |
From: Bertrand Russell (Logical Atomism [1924], p.145) | |
A reaction: It has been said for a long time that Gödel's Incompleteness Theorems of 1930 disproved this claim, though recently there have been defenders of logicism. Beginning with 'certain ideas' sounds like begging the question. |