Four Set Venn Diagram?

In this video, we show a typical non-example of a proposed four-set Venn diagram. We then show an example of a four-set Venn Diagram by highlighting all sixteen possible regions.

#logic #settheory #union #propositions #intersection #setdifference #setminus #setconnectives #subsets #venndiagram #visualproof #foursets #math #manim #discretemathematics #fivesets #complement

To learn more about animating with manim, check out:

[asparkdeity]

Remarkable how ever since a was the age of 6, I’ve been wondering if the 4-circle diagram was even possible. I found my answer 13 years later, thank you so much!

[afif]

Missing the region exclusively between A and C, and between B and D.

[ThatChannelWithANameThatsTooLo]

I learned this from keep talking and nobody explodes

[tom_something]

I learned about this shape of Venn diagram from the "Complicated Wires" section of the "Keep Talking and Nobody Explodes" manual.

[zakire]

The first diagram only represents adjacent and sequential regions a+b, b+c, c+d, d+a, a+b+c, b+c+d, c+d+a and d+a+c but misses the opposite regions of a+c and b+d

[TurkeyTray]

This makes the Keep Talking and Nobody Explodes Ben diagram for complex wires make more sense. Thanks!

[sambhavgiri]

Great now we need a generalisation for the curve to be used for an n-set venn diagram

[CharlesB]

So basically, this can only work in ellipses, but not in proper circles.

I think I remember Numberphile had a video similar to this featuring Neil Sloane.

[ErosCupid]

14 areas for circles and 16 areas for the oval, because the circle doesn't have the combined area of ​​AnC and BnD

[flipsidenick]

Got jumpscared by the duolingo owl at the end there.

[MamaWheelz]

Grateful to find this channel as a homeschooling mom with a very visual learner kid.❤

[TheGuyvatzian]

My Combinatorics professor once told a story about his PhD advisor who created a five set venn diagram and had it on his wall. Later he was working for the military during Vietnam and for some reason they needed a five set venn diagram. So they went to his old office but unfortunately it had been painted over. The military then proceeded to remove the paint in order to get to the venn diagram underneath.

[MrSirFluffy]

I usually use the first one, and add two side circles for A/C and B/D. Readability is is paramount.

[cardboredbox]

You could also take the original diagram and have a separate circle in 2 of the circles (A and B) containing the missing intersections

[boks_]

Me who had to learn the 4 set venn diagram to stop a BOMB from exploding

[sselesussecnirp]

Me getting flashbacks of defusing bombs in keep talking and nobody explodes

[ehe]

My favorite thing about venn diagram is that the fact that my nickname is ven-ven so when someone said venn sometimes i would answer "yea?"

[kaletriton]

Giving me flashbacks to the complicated wires in Keep Talking and Nobody Explodes...

[chaoticcar]

I had never heard of these before KTANE and then they made my mind explode

[simicracle]

the first diagram is valid if a and c are mutually exclusive and b and d are also mutually exclusive