Unveiling the Gaps: Why Rational Numbers Fall Short in Calculus

[@jeevacation]

Nice video, you should make one on the proof of irrational numbers

[@academyofuselessideas]

Thank you! I've been thinking about making that video for a while. It wouldn't be so much about presenting a proof but how one could think about that problem and perhaps get to prove it... If your comment gather enough traction, I'll make that video next! (I was planning to go on doing more on this series in analysis first but talking about square root of two would be a fun parenthesis)

[@jeevacation]

Don't worry about it then! I wish you luck on your channel. I personally like how you present things. Side note: I think going into the direction of "big picture thinking" of mathematics is very good, only a few channels do that. People usually don't focus on the declarative component of mathematics and think of it as stepping stones to an end solution but its not like that at all.@@academyofuselessideas

[@academyofuselessideas]

@@jeevacation Thank you! That's one of your goals!

[@academyofuselessideas]

@jeevacation I took on your suggestion and I made a video on proving the irrationality of two! I also made one on the infinitude of primes... If you happen to see those videos, let us know what you think of those proofs! Thanks again for the suggestions!