2) All mathematical reasoning involving “infinities” implies self-evident contradictions, but human mathematicians have a blind spot with respect to them.
My answer would be no different if you replaced “infinities” with “manifolds” or “groups”: Okay, please show me the contradiction.
3) You are not above-average
Yes.
1), 4)-8): These are all roughly on the order of “the world is a lie”. In such cases I’d probably have to doubt my verification of the AI’s calibration as well. So no, probably not.
My answer would be no different if you replaced “infinities” with “manifolds” or “groups”: Okay, please show me the contradiction.
Yes.
1), 4)-8): These are all roughly on the order of “the world is a lie”. In such cases I’d probably have to doubt my verification of the AI’s calibration as well. So no, probably not.
“My answer would be no different if you replaced “infinities” with “manifolds” or “groups”: Okay, please show me the contradiction.”
If I’m really worried about absolute denial, I might say “Okay, please show this automated proof-checker the contradiction”.