Explaining Gojo's Infinity with Calculus

[@ChucklinHSR]

I think you have confused Zeno’s arrow paradox with the Achilles and the tortoise. The arrow paradox require the arrow to go an infinite amount of half ways before moving thus unable to move since needed to do infinite things. The tortoise and Achilles is where every time Achilles run and gets to the position the turtle was at the turtle has gone forward and is thus still ahead. This means for all time the turtle will always be ahead of Achilles even if he is faster if we require Achilles to get to the position of the tortoise. While infinity ability works better understanding the arrow paradox Gege cites the tortoise and the hare Edit: What I called the arrow paradox should actually be the dichotomy paradox. Mistakes on the naming as well

[@copywright5635]

Ugh you are right. I'm really annoyed at myself for this because I remember doing this in research. I'll pin this comment for this reason. The thing is, I think Gege might have confused the two as well, and such is why I got mixed up. www.quora.com/Does-Gojos-Limitless-involve-gravity-manipulation This Quora answer shows the Achilles and the Tortoise paradox, but then discusses the infinite series 1/2^i and so I conflated the two in my head. I think, both because of the Wiki answer, and because of what I linked, the explanation in the video still holds. I do apologize for this confusion and incorrectness though. Luckily, the math is still correct AFAIK.

[@purevert]

Leave it to the Dr. Ratio pfp guy to find a mistake, thanks.

[@arcticakecold2744]

@@purevert fr

[@ChucklinHSR]

@@copywright5635 The arrow paradox makes more sense for the show achilles and the tortoise is more paradoxical. Gojo's power can further be understood with calculus when you understand that blue convergence drawing things together is doing an infinite sum to get a finite amount (reassigning distance to a finite infinite sum). Blue convergence was well understood in the gojo clan just as converging infinite sums were well understood historically. Red divergence represents divergent infinite sums and is only more recently understood. Divergence red is gojo taking a sum of space and then making it larger thus being similar to repulsion. For the deeper inclined imaginary purple is a color mix of red and blue. Naïvely we would say that the average of negative convergence blue and the positive divergence red is zero, however this only considers one dimension. If considering the complex plane it can be argued that the average of a positive and negative is actually in the imaginary axis because it is the average rotation amount (0 degrees and 180 degrees for positive and negative with average at 90 degrees). This would explain how gojo awakened the purple by mixing red and blue and "ascended" to a new plane.

[@ChucklinHSR]

In failing to do my own citation what is noted here is the arrow paradox should be the dichotomy paradox. The true arrow paradox is that at every instance of time there can be no velocity. The argument of infinite points needed to cross is the dichotomy paradox. I too should check the argument name before posting as I conflated that a flying arrow must cross an infinite amount of points while the dichotomy paradox traditionally cites running as the example.

[@tiringking]

The moment the graph of megumi showed up I was praying for a bum reference. I was not disappointed.

[@SSSyoutube8035]

The more you are megumi the more you are bum

[@astralithium]

But what about toji 😭😭😭

[@inFayt_Lies]

pure undiluted petty hatred of an agenda would have made reverse-flash himself proud 💪⚡️

[@JewelxxetPierre]

@@astralithiumLike Father Like Son

[@midnightstories6619]

Why do people hate megumi man 😂

[@udiomoudochi8696]

This man did not fail to call Megumi a bum any opportunity he got.

[@lain5858]

He is not a good person

[@syrienangel4137]

@@lain5858 That's what Megumi gets for being a bum

[@degen7278]

And here I scoffed at my teachers telling me id use calculus. Dont I look silly now.

[@deezidibbs9796]

Its still on some weebo stuff anyway,you're not doing some engineer work atleast :3 ...for now

[@CyberMonkey03]

If you become an engineer you’ll use calculus, and make big money

[@playyourturntodieatvgperson]

honestly, calc is one of the few parts of math that i think has a lot of aplications pretty much everywhere. even in things like driving, understanding the concpets helps

[@moomooha234]

@@playyourturntodieatvgperson please explain more how it relates to driving

[@jacobharris5894]

I think knowing a bit of physics and math can help you make safer driving decisions because you’ll be more aware of dangerous situations. It’s not super necessary obviously. But since you asked. If you plot the velocity of the car as a function of time you can use it to calculate the total displacement of the car by integrating under the curve. Likewise, you can calculate the total distance traveled by the car, if you use speed instead of velocity. (This isn’t what a odometer does, they use the number of tire rotations. Although digital speedometers use digital signal processing, which may involve calculus.) If you assume constant deceleration when breaking hard, you can use the kinematic equations to deduce if it’s safer to stop at or run a red light, depending on your speed and distance from the light. For non-constant deceleration a similar analysis can be done. But it would be more complicated and likely involve calculus, along with the model of your car. For car collisions, if you have a changing force as a function of time, you can use integration to calculate the impulse or total change in momentum of the car. Or you can use differentiation to find the maximum force. It’s worth noting though, if your taking real life data, you would need to interpolate the data to get nice continuous functions that you can differentiate or integrate. But methods for doing that, like the Discrete Fourier transform, are inspired by analogous concepts that use calculus.

[@GokuEnjoyer69]

In JoJo part 6 there’s a really similar concept which makes much more sense to how Gege explains infinity. Every time someone reaches halfway to Dio’s kid, they shrink to half their size, making the distance to travel to the next halfway point the same every time.

[@bmuhammadthariqhumaid4670]

Ah yes GGGoH

[@reflex9238]

I think you mean Part 5 with GER as it also manipulates space time.

[@Kazonk9954]

@@reflex9238 I think he's talking about the green baby.

[@reflex9238]

@@Kazonk9954 ah in that case kinda. The concept of an infinite series that converges to a single point where it doesn’t go beyond that is definitely still there, only issue I see if the Green Baby really keeps the distance the same that way.

[@GokuEnjoyer69]

@@reflex9238 no Green baby made from dios bone that becomes C moon

[@user-11Il10I1]

Potential man catching stray is crazy 💀

[@TerminallyOnTheGrind]

the one who left 255 behind

[@karmacop217]

Well "potential man" came in for clutch. The time it takes for a chapter to come out is not the canon time that passes in the manga, the real bums are the people seeking to validate their blatantly false head canons

[@dankrigby5621]

@@karmacop217 even waiting aminute bc he "doesnt want to live" while he is the reason all his remaining friends die in that moment is a certified bum moment. if he wasnt such a bum choso and a lot of others wouldnt have died/been in the risk of dying.

[@LeoRoosebrouck]

​@@dankrigby5621He got his soul sunk in darkness due to a evil fucking bath and the 4 UNLIMITED VOIDS he got hit with. He shouldn't even be walking yet here he is. Being a fucking GOAT.

[@dankrigby5621]

@@LeoRoosebrouck if he could get over himself after 5mins, he could've done it 5 mins earlier too so chose didn't have to die and others wouldn't almost die without todos help lmao

[@Fotoschiki]

I had divergence, convergence and the definition of infinity in my first semester studying electrical engineering, while I watched JJK season 1. It was litterally in the same week our professor first used these words when Gojo explained his powers. It still feels surreal.

[@hatsurrin]

Bro is living in jjk

[@vivelespatat2670]

Did he cast Hollow Purple in class ?

[@adwikbasuroy1367]

@@vivelespatat2670 The professor can't cast Hollow purple because he is not the Honoured one.

[@Abraham_the_pierra]

​@@adwikbasuroy1367how'd you know.

[@gunther268]

Bro mahoraga so smart it mastered calculus and mathematics in a matter of 10 spins 🤯🤯

[@water4041]

he adapted to have a Issac Newton level brain for him

[@Wonder_Chariot]

I love this comment

[@infinitelyascending]

he adapted academically

[@impermisto]

yeah, that's always bothered me. Because that's Mahoraga's technique. It's not something rational. On the contrary, it's an automatic process. He has the wheel and the sword that help him do that, like filling a cup with water. But Sukuna being able to reproduce something like that ON THE FIRST TRY in a “oh there's infinity, so I'm going to send a cut there” approach is absurd. I'm not even talking about the 6 eyes not sensing anything.

[@The.empire.enjoyer]

​@@impermisto Gege just didn't know how to kill Gojo off with some bullshittery

[@chlorine-17]

I actually had this same realization a while ago, and it also kind of works for his extension techniques too. While blue seems to hinge more on the fact that it’s introducing a negative number into reality, I see it as a point approaching negative infinity which causes it to constantly draw in the space around it. Then red would be causing whatever’s in front of it to “approach positive infinity” by being blasted away, and purple makes a point that approaches positive infinity from one side and negative infinity from the other, so the limit (and thus everything in the purple) does not exist.

[@fungmonger3000]

Nice

[@sphera4147]

Yo that's actually a nice explanation, never thought of it that way.

[@Stolanis]

It's particularly telling that the literal translation of what Gojo says when he uses Purple is 'Imaginary Expression: Purple'. Dude is combining Red and Blue to create a thing that *should not exist in reality,* almost as though the colour purple was one that no-one had seen or even realised was possible until he invented it.

[@nikhilm2803]

i like to think of it as converging and diverging series bc of gojo's little speech about "convergence...divergence...". Bc infinite summations cannot converge and diverege at the same time, you get purple when gojo forces both to happen.

[@vanzwho854]

whats the difference between approaching infinity, and infinity itself?

[@Plupert]

When I watched JJK and Gojo was showing that Jogo would never be able to touch him but he never actually “stopped” moving towards him. My immediate thought was oh Gojo is like an asymptote. I’m happy someone else thinks like I do.

[@adeleisnamedafterme]

I was sitting in calculus and realised the same thing!

[@emmarooker3607]

That was me too!

[@HENRIQUEKOUTAROSAGAHARA]

Broo no way. KZbin blessed me with this piece of art.

[@copywright5635]

Thanks for watching. I honestly think of this as a bit of a dumb post, but glad you enjoyed it!

[@HENRIQUEKOUTAROSAGAHARA]

@@copywright5635 I just love the relationship between anime and mathematics.

[@anonymous_4276]

​@@copywright5635 this video feels like tricking kids into eating some broccoli.

[@saftheartist6137]

⁠​⁠​⁠​⁠​⁠​⁠​⁠​⁠​⁠​⁠​⁠​⁠@@HENRIQUEKOUTAROSAGAHARA I agree that using media and TV show examples is a brilliant way to better teach mathematics. This technique takes relatable content and connects it to the less relatable philosophy of mathematics, which helps many visualize the reasons behind the concepts being taught in mathematics.

[@saftheartist6137]

@@anonymous_4276 it often works 😂

[@sungod9797]

We can prove using basic Diff Eq that an object approaching Gojo can never reach him if it slows down proportionally to the remaining distance left as a fraction of some initial distance from Gojo. The problem could be expressed as a simple ordinary differential equation of the form y’ = v*(p-y)/p, where y(t) is the position (distance traveled to Gojo), p is the initial distance from Gojo, v is the initial velocity, and y’(t) is obviously the current velocity. By separation of variables, this becomes (1/(y-p))dy = (-v/p)dt -> ln|y-p| = -tv/p + C -> y = p + Ce^(-tv/p). At time 0, y = 0, so C = -p. So, y(t) = p(1-e^(-tv/p)). Finally, we try to find the amount of time it takes for the right hand side to equal p (when all the distance is covered). This occurs when e^(-tv/p) = 0. But this never occurs for any value of t, even though the value of the expression exponentially decays towards zero as t goes to infinity. Thus, at no time will the object reach Gojo. Probably an unnecessary amount of work, but still kinda fun to show with a basic ODE lol The interesting thing is that in the anime, the technique seems to be visually depicted more like a barrier than can actually exert force to push you away from Gojo (without using red), as shown when he crushes Hanami against the wall, or when the knives suspended in mid-air move away from him as he walks forward.

[@shanedsouza189]

Well, one could easily imagine that what's actually happening is that the technique is just exerting a repulsive force inversely proportional to the distance from Gojo. That is to say, the repulsive force grows infinitely large as you approach him.

[@sungod9797]

Well his technique is never actually described that way, but yeah that would accomplish the same effect. It’s supposed to work using spacetime manipulation, so I guess you could argue the force is just some sort of anti-gravity created by having some negative spatial curvature around him. That would also explain how he “reinforces” the technique to counter domain amplification, by just increasing the force exerted at any given distance using extra cursed energy. But it does lead one to wonder what’s special about his Cursed Technique Reversal (described as “the power to repel”) if it basically does the same thing as the “neutral” limitless (described as the “power to stop”), with the only difference being that Red looks like an energy projectile. I guess you could say he’s just taking the location of the reference point for his technique’s distance measurement and moving it away from his body towards his opponent. Not sure why the cursed technique amplification/lapse of limitless would create an attractive force though, since you’d think pouring extra cursed energy into limitless would make it repel more, based on this explanation. So I guess in that case it would make more sense if the effects of Red and Blue were swapped

[@thatsmyhellsing]

​@@sungod9797BLUE pull towards cause he create a negative space around reality....because a negative space cant really happen, the reality itself bends towards Gojo...thats why blue atracts

[@SevenRedSuns1296]

the way I think about it with the Hanami situation is that he's forcing her to traverse infinity, thus accelerating her at ludicrous speeds to translate the "distance" created by his enlarged infinity

[@blakerenimu9033]

I'm learning math and having fun WHAT!?

[@No-cc1fq]

Have a teacher with nice pair of tiddies.. You will love math, thats happen to me in highschool

[@sulanjirabbisinyinza4152]

The worst part is you willing want to learn more 😢😂

[@localmilfchaser6938]

⁠@@sulanjirabbisinyinza4152fr I just started college and already want to kms

[@KotikKelTuzada]

Fear not the math my friend. And let the calculus begin.

[@Eshuu-w4l]

Relatable brother​@@sulanjirabbisinyinza4152

[@xendurr8180]

Gojo is such a good teacher that even in the end he still manages to teach us how to do fractions.

[@numberonepiecefan]

:(

[@arjun_kre]

"Gege Akutami kinda sucks at math" Duh, he's a sadis- I mean a mangaka , he ain't no mathematician 😂😂

[@shadowslime3640]

I mean three of some of his favorite villains are Muzan, AFO, and Overhaul so you're not wrong on that first part.

[@milkman4407]

The proof is RCT, which makes no sense, because you can’t just multiply energy together

[@therishisenpai]

So I spend 60 hours to familiarise myself with Gojo's abilities, drop a video, and NOW I find this piece of art 😭😭😭

[@---li1oo]

Genius, I can finally put my calculus to work

[@iamdivan7368]

I always interpreted this technique as Gojo believing in the paradox of Achilles and the tortoise so hard that the reality bends over it. The reason why I think that is because (I think it was a Gojo quote) in jjk your ego and your selfishness makes you the better sorcerer, so I always interpreted that as your curse technique being a cheat code that breaks reality in some way, and the more you and the others believe it the stronger the techniques are. Like, our space has motion and Achilles does indeed catch up to the turtoise, "limits" exist for it and in it, but Gojo' "Limitless" technique (aka his schysophrenia and ego) just goes "nah you don't", and so it doesn't.

[@Nazar_Melnyk]

Yeah, it seems to be like that. Remember Mahito's and Kenjaku's disagreement over the soul-body priority? And that, after the little rebellion of Geto's body against Kenjaku, Kenjaku concluded that reality differs for each individual technique? IMO, that was a pretty solid explanation.

[@Nishom0926]

Damn that means Dr.Mohoraga is PH in mathematics plus Sukuna had to do some bullshit Calculations to cut this guy up while fighting him, Taking infinite void and Brain 🧠 damage while figuring out this shit.

[@vaguelyfamiliar_]

might also explain how revealing your technique to the enemy strengthens it; you're making the enemy believe it as well

[@AvidCanineEnjoyer]

@@vaguelyfamiliar_wait that’s so right omg 😨😨😨

[@IshanDubey-xs4vg]

Sakuna didn't do shit, he used mahoraga to do everything for him , kinda like chat gpt​@@Nishom0926

[@daegukreb4219]

man, this really just reminds me of the two all nighters spent on the math IA -- you expressed it so concisely and in much simpler terms compared to my calc knowledge at the time.

[@kittyveggies4454]

cant believe im thanking IB maths for helping me to understand this video

[@daegukreb4219]

@@kittyveggies4454 fr dood

[@rzkrdn8650]

Megumi's bumness is beyond gojo's infinity

[@saikimin9896]

Infinity isnt a large enough capacity to describe your uselessness

[@syrienangel4137]

@@saikimin9896 As is your existence

[@RixesPuffs]

Maybe what Gojo meant is that he doesn't shower and his stench is literally frying the air molecules around him so much, that they expand infinitely

[@samahJoical]

Bro

[@ItsCrunkulous]

Ong hanami didn't die because he was crushing her with infinity that stench was so bad cuz bro ain't had a shower since he was 17 once he fully developed infinity

[@r.jguerra5526]

Bro's projecting

[@XanderAnimations]

true

[@lailoutherand]

💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀

[@CamiWuzHere]

seeing the megumi graph and watching him get roasted for like 5 minutes straight hurt my heart😭😭

[@copywright5635]

Ok if it comforts you I don't actually hate Megumi. I was thinking, how do I get JJK fans to pay attention to math, and well... it worked clearly

[@someguy4405]

"he mixed up 5 and 50" Or Myamura got something wrong for the ninth time.

[@Seloliva1015]

Megumi has never recovered from that panel with no shoes

[@saikimin9896]

You will never recover from your failures

[@thecrionesevideomaker2977]

I love it when I see two of my favorite things put together in a video. It's actually very interesting and informative.

[@ethanramos5372]

I’m glad you made this video. I happened to be taking calculus when jjk was first coming out and we were literally learning limits, asymptotes, all that. I made the connection that gojos ability is literally that.

[@SillyInternetGremlinBoy]

The bumigumi reference earned my sub, this video is a massive W

[@saikimin9896]

Unsubscribe from life

[@SillyInternetGremlinBoy]

@@saikimin9896 lol I unsubbed from it a while ago when it stopped being fun, but i’m still watchin’

[@alaminior]

0:58 that's why instantaneous acceleration is necessary. It's why there's a minimum possible distance

[@SparkyMasterK]

at 7:31 When you brought up the infinity barrier line I thought for sure you were going to say "this is a piecewise equation so at that x-value the function changes has two different domains, Hence why they say 'Domain expansions" Literally the moment they change reality.

[@ninjahunterx7497]

Oh wow, that's actually genius. But the issue is, Gojo's infinity barrier is not his domain expansion, it's another type of cursed technique. It actually can be bypassed from subdomain expansions type things.

[@axionyx]

1:42 omg what the vsauce erference

[@nooby3641]

Chad luffy

[@digantadutta2143]

finally i understood delta epsilon method

[@undeade.t7044]

i like to understand the limitless with science rather than math infinity is like the void of space infinity expanding to from the center to the point where reaching the center or the end is impossible. the sub abilities of red and blue are like the poles of a magnet to use the attractive force of blue Gojo assigns him himself and his target with the opposite polarities to attract one another. Red on the other hand works by Gojo assigning the same polarity to himself and the target to repel each other. purple is created by forming a mass that attracts and repels at the same time. Infinite void works by overloading the brain which is a computer with limited storage space and processing speed with an infinite amount of data that fries the brain because it does not have the proper hardware to allow it to process and store and infinite amount of data.

[@chyumiming.]

Your right about the magnetic poles. Gege say It in a book

[@yoosapkid69]

Yup gojo technique more make sense with science Let's say he have ability like dark energy in his curse technique that can expand space infinitely around him. Because that's how fabric of space works. Not divided

[@kujojotarostandoceanman2641]

But instead of magnet, blue creates a semi vacuum that force objects around it into it to fill the lack of space, and red is condensed space thus pushing everything outward, purple is like a glitch where you put those two together that was supposed to cancel eachother out but using curse technique to force red and blue to stay exist, thus making a extremely unstable area where it's constantly pushing and sucking at the same time and basically turns into a blender

[@Joefo-y67]

​@@yoosapkid69nah y'all Einstein fanboys coping so hard about Zeno paradox

[@iMíccoli]

​@@Joefo-y67😂😂😂😂 LMAO

[@diegovillalobos4176]

Nah the megumi bum relationship got me off guard i WAS NOT expecting that 😂😂😂😂 Btw great video i never thought of gojo being a literal asymptote

[@copywright5635]

Hey it made you pay attention right? Thanks for watching!

[@signormythomagic_yt7128]

Love how the concept is limits and the name of the ability is Limitless. I was cooking this theory for a while now and I was delighted to find your video on it. I feel heard.

[@Zen-zt4uk]

Me thinking its a normal gojo + math video from a random youtuber: Okay, time to get hit with boring maths. This guy: pulls up bum as the x-axis for Bumgumi I didn't think you were capable of going this far Phanimations!!!

[@Sir_Isaac_Newton_]

y-axis

[@copywright5635]

well if no one else was going to become a monster, then I'll do it

[@lavans5721]

@@copywright5635 domain expansion: Infinite Series

[@zhanglaoshi5529]

​@@copywright5635bro became yuta 😭😭

[@doneedanickname3522]

math can be really fun if just expressed through a different medium. I like turning my notes into dumb powerpoint slides and express problems in really dumb scenarios. Makes memorisation much more easy and fun

[@Explodingstrawberry125]

Megumi catching strays and I'm all here for it

[@saikimin9896]

Unlike your dad that wasnt there for you

[@syrienangel4137]

@@saikimin9896 Projecting much?

[@radu-andreinitu3961]

​@@saikimin9896Bro is crying through the entire thread at some basic Bumgumi slander lmao

[@mantasr]

If you divide the distance infinite times you divide the time it takes infinite times - making the time it takes infinitesimal. And infinitesimal time goes by super quick. Which is why your reach the tortoise. You don't reach Gojo because he only divides the space, not the time. He's just OP. He should have won (the damned arrogant bastard).

[@Khann_2102]

Gege just felt funny at that time

[@ndnd7614]

That’s just approaching an asymptotic limit 😂

[@vigorouslethargy]

It was an asspull for sure. "Well I can't cut you directly, so I'll just cut the idea of reality which just happens to include you in it." Not a great solution to the OP character you wrote into a corner, Gege.

[@roberty.agyekumaddo6071]

It's very impressive of you being able to explain Gojo's power with Calculus. I really enjoyed it. I wonder if you could make another video like this explaining Accelerator's esper abilities from "A Certain Magical Index".

[@noobhue1997]

I always interpreted the limitless as some kind of distortion on the space, where the distance increases as we get near Gojo. So when under the limitless barrier, one need to move through kilometers to move only centimeters. We reach the same end by diferent methods, basically.

[@XLORDPROPL]

0:28 I heard about this paradox the first time in my life yesterday, and now i see it in a video for the first time in my life, no one will tell me it's science anymore...

[@Donpablo219]

I don’t know why I thought I clicked on this thinking I would understand ts 4:04

[@Micro_ca]

Haha hehe

[@randomdudeguypersonlol]

Incredibly intuitive and comedic explanation of limits lol, insanely underrated

[@newwaveinfantry8362]

Hyperbolic goemetry, or even more simply explained, this is exactly how electromagnetic potential works. Electromagentic attraction, hence repulsion, is proportional to the inverse of the distance between the electromagnetic centers of the objects, so as one gets closer, the potential goes to infinity.

[@AverageSensei]

First use for calculus in 10 years and it's to understand Gojo's limitless void 💀

[@justacatnamedmob]

thank you! this has actually helped me with my math, I was weeks ahead with the concept of asymptotes because of your video. it also helped me with the exam. thank you!

[@excellent_potato]

I really don't know how you continue to find so many topics to explore. And from all your videos, I can tell you enjoy making them. You are super underrated right now, but I have a feeling you will become huge soon. Just keep pumping out these fun quality videos, and also have fun making them!

[@copywright5635]

Glad you enjoy it!

[@leon9878]

True in hindsight the guy has mad potential.

[@excellent_potato]

@@leon9878 he can become the next Vsauce, but specifically for maths.

[@leon9878]

@@excellent_potato yeah basically that in tandem with also interpreting how math is used in power systems stories and fiction to spice things up.

[@Galactic1078_]

I have been learning this at school the past year, why did I understand this better than my teachers lessons

[@-Medley-]

Thanks for explaining how sukuna is a fruad and uses plotholes :)

[@Nishom0926]

Damn that means Dr.Mohoraga is PH in mathematics plus Sukuna had to do some bullshit Calculations to cut this guy up while fighting him, Taking infinite void and Brain 🧠 damage while figuring out this shit.

[@mungelomwaangasikateyo376]

I do agree with this explanation of limitless to the infinity explanation. Approaching gojo is more like an asympotic function. You may continue approaching him but will never reach him

[@prisma.]

The mad man... he did it. He explained Gojo's technique.

[@Ash-my4gf]

I just learned about limits today in calculus, thanks for the recap

[@IamWhoIam-z6i]

I can imagine Gege watching this video and say " What ! It works like that ? "

[@joeyuzwa891]

WAIT. YOU TRICKED ME INTO WATCHING A VIDEO ABOUT CALCULUS! YOU FIEND!

[@copywright5635]

hehehe

[@mostgoofiestyoutuber]

Or simple thing short, there is infinite space between Gojo and the object which is trying to touch him. Now u might say, why did the knives levitate on gojo while on the phone? Its because the knives had enough force to stay on track but because of the infinite space they seemed stationery.

[@chrome1018]

Yup, also remember that Gojo can allow certain objects to pass through his infinity, in this case it was his phone.

[@mostgoofiestyoutuber]

@@chrome1018 that depends on him. It's a pretty nifty ability to have ngl

[@omino_fr]

Holy shit! On my soul I was thinking of this about a week ago and I came to the same conclusion of Gojo being an asymptote, I feel like an accomplished mathematician rn 😭

[@quantumgaming9180]

BRO I WATCH 1 JJK OPENING ON KZbin AND NOW EVEN MATH CHANNELS SPOIL ME!!

[@copywright5635]

Nah I'd spoil. Also legitimately sorry, all the panels and vids I put are everywhere on the internet so I figured it'd be ok (plus it's mostly blurred), but yeah I apologize for the spoilers.

[@quantumgaming9180]

@@copywright5635 Nah I'd be fine. I like your videos anyway

[@Coleecool]

lol facts😂

[@abdouplay]

Ain't no way I understood math from a jjk YT video instead of my teacher when he's yapping on a Monday morning💀

[@SnapstickGamer]

I always thought like this, that infinity changes the curvature of space time and makes it asymptomatic. A lot of jjk’s powers can be looked at ‘scientifically’ and I love how the way they fight is so deductive. They’re trying to figure out cursed energy on the fly, and making predictions about each other

[@Yx1xY]

I love your simple explanations. Keep up the good work.

[@bearfaery737]

I remember when I first saw his powers, my response was "So he makes Zeno's Paradoxes into reality". Also, to be entirely nitpicky, the Paradox of Achilles and the Tortise is different from the Dichonomy Paradox. The Dichonomy Paradox is the constant halves, Achilles is that in a race between Achilles and Turtle where the Turtle has a head start, it should be impossible for Achilles to ever surpass the Turtle, as he constantly has to run to where the Tortise had been down to infintismal pieces of distance and time. They're similar, but not the exact same.

[@copywright5635]

Yes this is true. However, there are actually multiple tellings of the Achilles and the Tortoise story. Some describe it as you have, and others describe it in the same was as the Dichonomy Paradox

[@ultimaxkom8728]

How likely is that most of the multiple tellings just being multiple mis-tellings? And how likely are we being infected by it?

[@caiolaytynher5994]

Bro straight up gave the better explanation of the epsilon delta definiton of limits that I ever seen in a jjk themed video. I'm a fan

[@ianchoi버디]

What Ik before watching past the intro of this vid. Base infinity warps the distance between Gojo and anything that Gojo's mind subconsciously detects as dangerous, by when that object enters the aoe of limitless keeps it from making the full distance by halving it. On a normal 2d graph reaching something would be a liner line but the Infinity Barrier makes it a curved line that never meets the final point going on infinitely. Amplifying this limitless gets lapse, azure, or amplification Blue, which removes the space that it's conjured in, sicking everything into it like a black hole. Multiplying the negative cursed energy to get positive RCT, applied to Blue gets Reversal Red. Red forces space and matter outward similar to how we think dark energy works(opposite to gravity), and since 1 RCE is many normal CE since it was multiplied Red is several times stronger then Blue. After combining the 2 techniques Gojo creates Purple, which normally flied in a direction at near or full light speed ripping apart space and matter that's in it's way. Of course there isn't much math in this, it's just all ik. Ima watch the vid now :)

[@ianchoi버디]

After I watched the vid. I alr knew this, yay!

[@nookleer]

Excellent video. I grasped this already but i have never seen a clearer explanation. That said, you also supported my idea of Gojo's weakness.. LASERS. Since photons do not generally experience time, they'd manage to get near enough to essentially hit him in a single moment.

[@grey_b7319]

naaaah, the Megumi slander is crazy 💀

[@DerSockerZocker]

Clicked on this for the meme but was pleasently surprised by a nice explanation/application of the epsilon-delta definition of continuity

[@shihab3611]

Here's another loophole, If nothing can reach gojo then that implies even light cannot reach gojo. Therefore gojo should be a black shadow.

[@jernmp]

no cuz infinity selects stuff that is harmful to gojo thats why he fan still breathe

[@hoangthihongphuong8473]

Gojo can choose what to let in and what's not

[@destinyorel7994]

i went to calc tutoring today to help understand epsilon and delta. this taught me more than that whole hour about limits

[@Flameeyboi]

Throughout heaven and earth i am calculus 1:56

[@top_drilla8345]

You need to do more of these videos bro it is so entertaining and it helps me to learn

[@weonadomicilio398]

Yeah that's how I first thought about it

[@c0ntrl]

Amazing video! You almost made me forget this was the exact subject that nearly made me fail high school

[@iceydied151]

any chance you could tell me what song is playing at 0:14 ? great video btw

[@AlexanderMatos]

I was also looking for it!!

[@gaaaaavi]

it's Kaneda's theme, from Akira.

[@AlexanderMatos]

Hmmm I don’t think so,. But close

[@doomi_no.17]

​@@gaaaaavi Thx

[@copywright5635]

It's not Kaneda's theme from Akira lol. I always link all the music in the description of the video. That's "Impact Prelude" by Kevin Macleod (Creative Commons licensed too!)

[@Dexxterx]

Just stumbled on this. Amazing work, you deserve to get all the way up there with this stuff

[@copywright5635]

Thank you comrade, El Psy Kongroo

[@eyes5877]

Not into college yet. Very intertaining but my ear goes right through the other one

[@geckoram6286]

Normal youtubers: Explaining calculus with a series This guy: Explaining a series with calculus

[@copywright5635]

Link to Code for the Video: github.com/shawnseanspencer/manimations/blob/main/gojo.py Also Patreon Plug: www.patreon.com/Phanimations Edit: Any suggestions for future videos please post them as replies to this!

[@malldvd]

This video is produced very nicely. I never knew that this style of animation was just python code. Edit: (I just found out that it's a library called Manim by 3Blue1Brown.)

[@damianfarci6778]

You are making me love math again. I have always asked my teachers where I could use math and all, but I never got an answer I was satisfied with. (Additionally, I’m horrible at math but I like it) Seeing you explain a character’s ability from an anime made me quite interested in it again. I hope you could find another anime/anime character’s ability that can be explained in math. I loved watching it.

[@fullmetaltheorist]

If infinity stops everything that comes close to Gojo then why doesnt he freeze cause heat and light wouldn't reach him too?

[@randomdude9367]

I don't watch jjk and I had the same question for my friend since he's a fan. Apparently gojo can choose what can and can't go through his limitless barrier and showed me a clip of him catching an eraser and block a pencil as proof. I guess he just does that with light and particles.

[@stevenmatuszak7536]

Dude this was highly entertaining. You’ve got a new sub!

[@InfinitiaterYT]

The thing with Achilles and the tortoise is that Achilles isn't just gonna move 1cm every step, so when the distance shrinks down to like 3cm, Achilles would just make a 5cm step and overtake the tortoise. Also he probably moves 3 times every time the turtle moves once.

[@themanysirs1814]

p-probably/?? Wa-?? this is a hypothetical using known things, it's not, it's not actually Achilles and a tortoise.

[@InfinitiaterYT]

@@themanysirs1814 ik just using the characters given in the hypothetical :/

[@themanysirs1814]

@@InfinitiaterYT aah. got it.

[@SinWuu]

I studied Engineering and took 3 Calculus courses. Never once in my 4 years in college did I understand the "Limit" this much. Thank you man it makes me wana go through all those textbooks all over again.

[@cakeboiplayz9667]

3:53 i lost it

[@jello8mellow]

I'm so glad you mentioned the asymptote, probably the best logic based comparison honestly, it always baffled me in school that they never touched the axis

[@nos5915]

this is genuinely more helpful than any calculus lecture i've ever had

[@hermesshallot3325]

Crazy I’m in AP Calc rn and the stuff we learned last week actually made this really easy to comprehend

[@steakiefrags1866]

Heard the word "supertask", immediately thought of Vsauce's video because i rewatched it for the 10000th time yesterday, and of course you bring it up instantly. perfect.

[@g_vaibs8005]

Really cool video, for even more math nerd based anime powers look up A Certain Scientific Accelerator. The character accelerator is definitely a big inspiration for Gojo as their powers are very similar in effect(they are also white haired and strongest in the world in their particular division by a long shot) . Accelerator can manipulate vectors of any object as long as he can resolve them.

[@SliceofStef]

Gege who thought of none of that: 😬

[@guilhermefonsecaribeiro1561]

This is interesting, thank you for making this video!

[@tonywilliams5340]

I'm glad someone else caught this. Im an engineer and calc was the only for me to fully conceptualize his powe

[@fury374]

I start college in a week, and im taking calculus, so this was a great headstart, thanks man

[@skylercloud3077]

the vsauce theme jumpscared me even though I saw it coming XD

[@Wokovsky]

I just willingly watched a 8 minute lecture on calculus. The world is truly amazing.

[@NunsenseStudios2110]

I am too uneducated to actually understand anything that is being discussed in this video, but I love math on a conceptual basis and I find the explanations here fascinating regardless! My brain is tingling from all the technical descriptions and exploration of Gojo's abilities from a mathematical framework.

[@Cedxfy]

Im currently in algebra 1 and the fact i was able to semi understand is crazy

[@crimsondragon2677]

I learned more JJK lore than math.

[@Yamazakura00]

I just learnt about geometric sequence to sum to infinity and am glad that I sort of understand what is being explained, shown that i actually learnt the concept

[@enivid9552]

Holy shit you have saved my life, I learned about series in calculus now

[@johndalepringle5978]

This is probably one of the best explanations I've seen of the Epsilon-Delta definition 💀

[@copywright5635]

that was the goal! happy you enjoyed

[@biznessman4597]

Potential man slander will be appreciated, U just gained a subscriber