fromBig Think
1 day agoGeorg Cantor shocked mathematics by proving that not all infinities are equal
We could imagine infinity but never actually achieve it. Post-Aristotle, infinity was always idealized, never realized - a philosophical construct at best. As something that could never be reached, infinity could never be treated as a proper mathematical object, most believed. Through the millennia, some of the top philosophical and mathematical minds of their day turned their attention to the concept, pondered it at length, and inevitably gave it up.
Philosophy