Least upper bound proof

[@NotoriousSRG]

I love how he approaches set theory! Very good!

[@ReCaptchaHeinz]

Maaaan I was meant to study this year's before, but it's now that you make me feel amazed by how cool is stuff. I always heard of "cuts to define R" but I never actually saw it from the beginning. Thank you! Keep on!! 🔥🔥🔥🔥

[@azhakabad4229]

Please start lectures on discrete mathematics!

[@drpeyam]

Nooooo 😭😭😭😭😭

[@johnclever8813]

Dr Peyam Do Fourier Analysis!

[@dgrandlapinblanc]

Ok. Thank you very much.

[@thedoublehelix5661]

Quick nitpick: This doesn't matter at all but it really annoys me how we arbitrarily chose the cut to be infinite from below. We could've constructed the cuts so that they're infinite above and it would be the exact same so I think maybe we should have the real numbers be equivalence classes on upper and lower cuts. (I'm p sure each upper cut has a corresponding lower cut.

[@sebmata135]

Cuts are actually defined the way you say. For simplicity, we just deal with the lower cut. You should read an analysis book for more details.

[@jonasdaverio9369]

That's a very beautiful idea! Do you know who came up with it first?

[@drpeyam]

Dedekind maybe?

[@u.s.r.00]

Shocked

[@alwysrite]

what field of math does this come under?

[@drpeyam]

Analysis and Set Theory

[@lasithanirmitha321]

Can someone tell me what is a cut?

[@drpeyam]

Real Numbers Construction kzbin.info/www/bejne/kIi1n42ejttjfZI

[@lasithanirmitha321]

Thank you Dr. Peyam

[@MathswithMuneer]

hi, I am also a math teacher

[@162chetan]

Than Wtf you are doing here... Just Go and teach the Maths

[@162chetan]

😝