Uploaded August 2026 | Updated September 2026, 2 weeks ago

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This a supplemental video from one of my courses that I made in my more typical style. This is a follow up to previous videos introducing the Set cardinality theorems and then counting principles in general. In this particular video, we show how to begin to deal with the general Sum principle for Sets when you have more than three sets involved. Can you see how to keep extending this idea for more and more sets?

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To see the two set and three set inclusion/exclusion versions, check out:
youtu.be/wXdoqPMlVRU?si=N5KKDetoD1d6zhh4 (two sets)

youtu.be/vVZwe3TCJT8?si=2BLGo4LNp2Gu1aaM (three sets)

To see other videos related to this, check out my Discrete Math series kept in a playlist called [Discrete Math Class]:

youtube.com/playlist?list=PLZh9gzIvXQUtB1t57_Xyk3yp9MK2iIFXX

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

To learn more about animating with manim, check out:
https://manim.community

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Music in this video:
Valiant Knights by MaxKoMusic | maxkomusic.com
Royalty Free Music by free-stock-music.com
Creative Commons / Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)
creativecommons.org/licenses/by-sa/3.0/deed.en_US