Indeterminate: the hidden power of 0 divided by 0
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You've all been indoctrinated into accepting that you cannot divide by zero. Find out about the beautiful mathematics that results when you do it anyway in calculus. Featuring some of the most notorious "forbidden" expressions like 0/0 and 1^∞ as well as Apple's Siri and Sir Isaac Newton.
In his book “Yearning for the impossible” one my favourite authors John Stillwell says “…mathematics is a story of close encounters with the impossible and all its great discoveries are close encounters with the impossible.” What we talk about in this video and quite a few other Mathologer videos are great examples of these sort of close encounters.
For those of you desperate to get hold of the t-shirt check out this link: shirt.woot.com/offers/how-natu...
Thank you very much to Danil Dmitriev the official Mathologer translator for Russian for his subtitles.
Enjoy :)
@wag-on 4 жыл бұрын
The person who invented 0 gave nothing to mathematics
@themeadowshadows 7 жыл бұрын
this man sort of comes across as a bond villain but is friendly enough so that I think he would be the assistant to the bond villain and would end up somehow disarming the nukes of the villain as a sort of double agent. these are the things I thought about in college. and I wonder why my degree didn't work out.
@QuantumHistorian 2 жыл бұрын
Most surprising thing in this video is a native German speaker holding Newton responsible for calculus rather than Leibniz!
@zoodlex1 7 жыл бұрын
Poor Leibniz never gets any credit
@HerbstaMagus 4 жыл бұрын
Newton gets too much credit and Leibniz doesn't get enough.
@doktoracula7017 6 жыл бұрын
"Noone would know Isaac Newton. That would be really sad, right?" I bet Leibniz wouldn't agree.
@troyterry5759 3 жыл бұрын
Yeah, I divided by zero once. Nearly burned the whole house down! Told my father about the incident, he said, "Boy, you gotta know your limits."
@TrainTsarFun 5 жыл бұрын
Now I can sneak up on zero
@timharig 7 жыл бұрын
The real reason that you are advised to avoid indeterminate forms is that your must invoke L'Hôpital's Law -- which you will not be able to pronounce to to everybody's satisfaction.
@Math_oma 7 жыл бұрын
Newton should be getting more credit because the term he used for derivatives/velocities was cooler:
@NotQuiteFirst 7 жыл бұрын
Great video, I rate it 0/0. Full marks!
@AlqGo 7 жыл бұрын
4:09
@alpheusmadsen8485 3 жыл бұрын
My takeaway from this is that, because "0/0" is undefined or indeterminant, it can be anything -- and
@antoniolewis1016 7 жыл бұрын
I asked Siri what 0 divided by 0 is, and it broke my heart.
@aiden_3c 2 жыл бұрын
You're a fantastic teacher. In less than a minute I went from not being sure why dividing by zero doesn't actually work to completely getting it.
@illiteratethug3305 4 жыл бұрын
Best
@Oinikis 7 жыл бұрын
As an aeronautical engineering student I find it extremely satisfying to see stuff I am learning at the university.
@jasondecker1460 6 жыл бұрын
I love this representation of 0/0... It gives me a great deal of context that touches on many other ideas I find familiar. You are doing a fantastic job, and I look forward to every new video( as well I find I play the most intriguing many times over.) Thank you for your passion, inspiration, and creativity.
@michaelheimburger1115 6 жыл бұрын
Just want to say that your explanation that both 1 and infinity are both functions just cleared up a lot of confusion about infinity for me and opened my mind to a totally new way of thinking about numbers. Thanks!
3Blue1Brown
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