Hacker News new | comments | show | ask | jobs | submit login

The axiom of choice makes everything simpler. Which helps a lot when we're talking about things like infinite dimensional vector spaces.

That said, it is a theorem that absolutely no theorem of number theory can possibly depend on the axiom of choice. So absolutely no "real" consequence can come from accepting or not the axiom of choice.

Guidelines | FAQ | Support | API | Security | Lists | Bookmarklet | DMCA | Apply to YC | Contact