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10480 | First-order logic can't discriminate between one infinite cardinal and another [Hodges,W] |
Full Idea: First-order logic is hopeless for discriminating between one infinite cardinal and another. | |
From: Wilfrid Hodges (Model Theory [2005], 4) | |
A reaction: This seems rather significant, since mathematics largely relies on first-order logic for its metatheory. Personally I'm tempted to Ockham's Razor out all these super-infinities, but mathematicians seem to make use of them. |