Time for nitpicking… “Consider his example if you ever you find yourself thinking, “But you can’t prove me wrong.” If you’re going to ignore a probabilistic counterargument, why not ignore a proof, too?” - …your own argument of certainty being infinity. In cardinal numbers theory the highest infinity (be it aleph-zero or continuum or 2^continuum or whatever) trumps any lower numbers (you can through out all the rational numbers, whose number is aleph-zero, and [0;1] will still be continual), including all natural numbers, and only an infinity of the same size or larger may compete. And I believe that the usual, single-infinity models do the same. If we _could_ have infinite certainty, it would be end-of-story, allowing for no possibility to “put the weight down—yes, down”. The problem is, we can’t.
Time for nitpicking… “Consider his example if you ever you find yourself thinking, “But you can’t prove me wrong.” If you’re going to ignore a probabilistic counterargument, why not ignore a proof, too?” - …your own argument of certainty being infinity. In cardinal numbers theory the highest infinity (be it aleph-zero or continuum or 2^continuum or whatever) trumps any lower numbers (you can through out all the rational numbers, whose number is aleph-zero, and [0;1] will still be continual), including all natural numbers, and only an infinity of the same size or larger may compete. And I believe that the usual, single-infinity models do the same. If we _could_ have infinite certainty, it would be end-of-story, allowing for no possibility to “put the weight down—yes, down”. The problem is, we can’t.