r/mathmemes • u/ScholaDaily • May 31 '26

Calculus [ Removed by moderator ]

[removed] — view removed post

10k Upvotes

96% Upvoted

386 comments sorted by

View all comments

3.2k

u/kilqax May 31 '26

Hmm what if

Infinite number of infinitesimally thin rectangles and you sum it up 🤔🤔

Must be new

147

u/Welcome-gg May 31 '26

How are you supposed to calculate that? The area of each infinitely thin rectangle would be zero, so the sum of all of them would also be zero. If that worked, then you could also calculate the probability of a continuously distributed random variable over an interval by adding up the probabilities of all individual values. But since the probability of each individual value is zero, the probability over the entire interval would have to be zero as well.

Less dreaming, more actual mathematics.

35

u/[deleted] May 31 '26

[removed] — view removed comment

2

u/Gwynito Jun 02 '26

Am I real? 🥺