this post was submitted on 25 Aug 2024
574 points (98.8% liked)

Map Enthusiasts

3355 readers
1 users here now

For the map enthused!

Rules:

founded 1 year ago
MODERATORS
 
you are viewing a single comment's thread
view the rest of the comments
[โ€“] [email protected] 2 points 3 weeks ago (1 children)
[โ€“] [email protected] 1 points 2 weeks ago

It's kind of subtle how exactly you're using numbers when writing limits. You're either not actually doing infinitesimals, just Cauchy sequences centered around a point, or you are and you get to enjoy the axiomatisation of the hyperreals.