this post was submitted on 12 Jun 2025
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[–] ricecake@sh.itjust.works 12 points 2 days ago

We discovered one of the postulates was really interesting to fuck with.

It's better to say that we've discovered more math, some of which changes how we understand the old.

Since Euclid, we've made discoveries in how geometry works and the underpinnings of it that can and have been used to provide foundation for his work, or to demonstrate some of the same things more succinctly. For example, Euclid had some assumptions that he didn't document.

Since math isn't empirical, it's rarely wrong if actually proven. It can be looked at differently though, and have assumptions changed to learn new things, or we can figure out that there are assumptions that weren't obvious.