On 30 May 2012, at 18:17, meekerdb wrote:
On 5/30/2012 1:45 AM, Bruno Marchal wrote:
Banach and Tarski proved an amazing theorem with the axiom of
choice, but it is not a paradox, in the sense that it contradicts
nothing, and you can't get anything from it.
Bruno
It contradicts intuition.
Intuition is the logic of the self-extending self. The other, for that
self, is already counter-intuitive.
That is why the platonist suspect reality of not being WYSIWYG (what
you see is what you get).
QM is counter-intuitive, and when I was young I found the idea that
the Earth was a sort of ball quite counter-intuitive too.
Comp mirrors the conflict between intuition and counter-intuition by
the difference between the logic of Bp and Bp & p (G extending
classical logic) and an epistemic account of a intuitionist knower.
(the real counter-intuitive shock is with matter Bp & Dt, it makes
things symmetrical)
Bruno
Brent
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