Post #2566015

@skewray@mathstodon.xyz Does AC break measure theory, or is measure theory already broken with the idea that all sets have a measure? That is, the axiom of choice allows one to reason about sets (Vitali sets) that are paradoxical with respect to the assumptions of measure theory but negating the axiom of choice does nothing to justify the assumption that all sets of real numbers have a measure. https://enrichedjamsham.substack.com/p/the-axiom-of-choice-is-not-controversial