Integers are slippery in a way that apples and poodles are not. If you say something unconventional about integers, you cease to talk about them. --- Does anyone disagree with that?
(1) Peter de Blanc asks what happens when I cannot follow a proof properly. I count that as a failure of rationality rather than an instance of being mislead by evidence. That is not, I think, what Eliezer intends when he says “convinced.”
(2) If I observe some trick and say, “wow, two and two makes three,” then I am dropping the integer system and adopting some other. My “wow” is the same one that we all said when we learned that Euclidean geometry doesn’t hold in our universe.
Integers are slippery in a way that apples and poodles are not. If you say something unconventional about integers, you cease to talk about them. --- Does anyone disagree with that?
(1) Peter de Blanc asks what happens when I cannot follow a proof properly. I count that as a failure of rationality rather than an instance of being mislead by evidence. That is not, I think, what Eliezer intends when he says “convinced.”
(2) If I observe some trick and say, “wow, two and two makes three,” then I am dropping the integer system and adopting some other. My “wow” is the same one that we all said when we learned that Euclidean geometry doesn’t hold in our universe.