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14452 | All the propositions of logic are completely general [Russell] |
Full Idea: It is part of the definition of logic that all its propositions are completely general. | |
From: Bertrand Russell (Introduction to Mathematical Philosophy [1919], XV) |
14462 | In modern times, logic has become mathematical, and mathematics has become logical [Russell] |
Full Idea: Logic has become more mathematical, and mathematics has become more logical. The consequence is that it has now become wholly impossible to draw a line between the two; in fact, the two are one. | |
From: Bertrand Russell (Introduction to Mathematical Philosophy [1919], XVIII) | |
A reaction: This appears to be true even if you reject logicism about mathematics. Logicism is sometimes rejected because it always ends up with a sneaky ontological commitment, but maybe mathematics shares exactly the same commitment. |