I’ve recently been trying to think of how to explain non-Euclidean geometry (or, what’s worse, Cantorian set theory) to ancient Greek mathematicians. Is today’s mathematics the same as their mathematics? After all, ancient Greek mathematics made falsifiable claims about actual measurements.
I’ve recently been trying to think of how to explain non-Euclidean geometry (or, what’s worse, Cantorian set theory) to ancient Greek mathematicians. Is today’s mathematics the same as their mathematics? After all, ancient Greek mathematics made falsifiable claims about actual measurements.