Sum and Product Principles for Finite Sets [Discrete Math Class; Visual Proof]

This a supplemental video from one of my courses that I made in my more typical style. This is a follow up to previous video introducing Sets, "set-builder notation," the three basic set connectives (union, intersection, and set-difference), and Venn diagrams. In this video, we show the general sum principle for sets (the formula for the cardinality of A union B) and the general product principle for sets (the formula for the cardinality of A times B).

Note that this video is part of a series kept in a playlist called [Discrete Math Class]:

If you like this video, consider subscribing to my channel and let me know in the comments if you'd like to see more like this.

This textbook for the course is the open-source textbook by Oscar Levin:

#logic #settheory #union #propositions #intersection #setdifference #setminus #setconnectives #subsets #venndiagram #visualproof #math #manim #discretemathematics #cartesianproduct #crossproduct #sumprinciple #productprinciple

To learn more about animating with manim, check out:

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Music in this video:
Creative Commons Attribution-ShareAlike 3.0 Unported

[LUMEN_science]

very good!
That's the basis of math!

[MiguelRaggi]

Nice! Is the manim for this animation open source? I'm wondering how you did some things and maybe steal something (I'll give credit!)

[NicleT]

Very good video, but the bad corporate pompous music is not really suited, it’s too much distracting. That’s a real turn off IMO.