Visual Inclusion/Exclusion

In this video, we show how to begin to deal with the general Sum principle for Sets when you have more than two sets involved. Can you see how to keep extending this idea for more and more sets?

#logic #settheory #inclusion/exclusion #intersection #setdifference #setminus #setconnectives #subsets #venndiagram #visualproof #math #manim #discretemathematics #sumprinciple

To learn more about animating with manim, check out:

[noahgilbertson]

Thought I knew what was coming but I didn’t expect the pretty shape

[ZzSlumberzZ]

to name a few, numberphile, 3b1b, and your channel are the 3 of my favourite math channels on youtube.

[rceby]

THIS IS WHAT I'VE BEEN LOOKING FOR. Thank you! More visual proofs to come

[ImperialFold]

wow, its so neat that you can represent something that looks so complex on paper so simply visually!

[gourangiverma]

this was helpful in understanding for 3 sets. i need to use a similar logic to extend that to n sets.

[rishabhnarula]

Good work.keep these up.hope your channel blows up big.

[Ninja]

I learnt this in my combinatorics class as it’s quite often used there. They also showed us the formula for n sets

[alute]

already know cardinality but it's awesome to visualize it, thanks for that, dude!😁🌺

[Kettwiesel]

Fitting to put the Nocturnes under a video of moon shapes like this ❤

[AyushRaj-jbeh]

Bro I just learnt this formula today thanks man 😇

[no_mnom]

Awesome, wished I saw this before learning sets for inequalities 😂

[neetuvipin]

Kya baat hai yaar
Kitna accha samajhya

[charlieb]

The contemplation of the waste of time that this approach has is the only reason it wasn’t a waste of time to contemplate. And that’s an infinite difference

[GO-fscz]

I’ve never understood this concept qualitatively until now

[john-icpz]

oh boy...we had "New Math" in the early 80s where I went to school.

I remember 'intro to sets' in elementary school and I admit that 44 yrs later I don't like it any more than I did then! 🤣

[yassine-sa]

Reminds me of grassman's formula in linear algebra

[AB-uyvh]

Have you ever read proof without words by Roger Nelson.
? It’s really good.

[tapicationer]

It’d be pretty interesting to see how this could extend to a larger number of sets

[chronosbat]

I love visualizations of proofs like these combinatorics is my weak spot

[falkez]

so if we get three finite sets, a b and c as shown in the video

the total count of elements is google