1. I'm pretty sure it was FINITE divisibility.
Actually it was infinite divisibility. Sure, you were breaking up the circle into 5 (or four) sections, but the edges weren't exactly your everyday cuts. They were ragged, and probably impossible in terms of real world matter.
2. Axiom of Choice
beh, typed too fast, you know what I meant
I'm just not sure they assumed the axiom of choice to be true when presenting the problem. If the axiom of choice turns out to not be true in the given situation, then the paradox is invalid in any system where the axiom of choice is valid.
Matt Fahrenbacher
Actually it was infinite divisibility. Sure, you were breaking up the circle into 5 (or four) sections, but the edges weren't exactly your everyday cuts. They were ragged, and probably impossible in terms of real world matter.
2. Axiom of Choice
beh, typed too fast, you know what I meant
I'm just not sure they assumed the axiom of choice to be true when presenting the problem. If the axiom of choice turns out to not be true in the given situation, then the paradox is invalid in any system where the axiom of choice is valid.Matt Fahrenbacher