Mathematician Proves Magicians are Frauds Using Algebraic Topology!

Рет қаралды 1,634,385

Math at Andrews University

11 ай бұрын

Пікірлер: 912

@vibeslide 10 ай бұрын

No idea what he's talking about but i admire his enthusiasm.

@micayahritchie7158 10 ай бұрын

So topology studies shapes. When you have such a shape you can construct an algebraic thingy that corresponds to each shape called the fundamental group Basically then if you can show that the shapes have different fundamental groups they're different shapes in the sense that one cannot be smoothly deformed into the other. So in topology a square and a circle are the same shape because if you think of it like playdough you can reshape one into the other.

@Mejayy 10 ай бұрын

@@micayahritchie7158 Im so glad I got to play with "dough" as a kid because now in geometry and topology I often ask myself "but what if this thing were made of dough?" To better understand what s going on

@shumsghost 10 ай бұрын

Yeah, and the rings have a slot, you just have to keep your fingers over it at all costs

@benjaminmacdonald7656 10 ай бұрын

Definitely needs to work on his sleight-of-hand. 😅

@TheBluePhoenix008 6 ай бұрын

He seems to be having an asthma attack

@eugene1323 11 ай бұрын

that's why we need algebraic topology

@micayahritchie7158 10 ай бұрын

Ok but I don't even know how you'd compute the fundamental group of two interlocked rings

@purplestovekitchen 10 ай бұрын

@@micayahritchie7158you compute it on the complement

@MathatAndrews 10 ай бұрын

@@micayahritchie7158 It is the fundamental group of the complement of (a neighborhood of) the links. See the full lecture linked in video for details.

@micayahritchie7158 10 ай бұрын

@@MathatAndrews A neighborhood as in sunset of Euclidean space it's embedded in?

@MathatAndrews 10 ай бұрын

@@micayahritchie7158 You can just think that we are finding the fundamental space of 3-dimensional space, drilling out the links.

@joep3525 10 ай бұрын

Glad he cleared that up.

@carebear2883 10 ай бұрын

I so hope he’s going to make a video debunking the tooth fairy using eggplants. We need it.

@punkisinthedetails1470 10 ай бұрын

😂

@punkisinthedetails1470 10 ай бұрын

@@carebear2883😂

@Sagardeep_Das 11 ай бұрын

Abelian. I thought he said a billion at first jeez. 😂

@g_rr_tt 10 ай бұрын

a single word that sets apart the math chads and the virgin engineers

@neevhingrajia3822 10 ай бұрын

@@g_rr_ttthe burn~~

@antareepgogoi6065 10 ай бұрын

@@g_rr_tthell yeah!

@malcolmstarkey1062 10 ай бұрын

If it’s any consolation so did I.

@ansfridaeyowulfsdottir8095 10 ай бұрын

*_" I thought he said a billion"_* Me too! {:o:O:}

@lewie909 10 ай бұрын

I could study for abelion years and still not understand this.

@CLove511 10 ай бұрын

It's pretty simple, grab 2 rings that are linked and try to unlink them. Boom, you understand.

@rwarren58 10 ай бұрын

Bravo. Well done. The guy above has zero sense of humor or perception.

@lewie909 10 ай бұрын

@@CLove511 😂🤦‍♂️

@mathematics5573 10 ай бұрын

I think Abelian means = symmetrical!

@angrymurloc7626 9 ай бұрын

The two rings together have a different fundamental property than the two rings apart, so there is no "real" (read 'magic' or 'trickerx' here) operation that can transform one to the other It would break a sort of mathematical conservation law (like energy conservation in physics)

@mathismind 11 ай бұрын

Real life application haha

@gameseeker6307 10 ай бұрын

Where is sin cos tan

@GrifGrey 10 ай бұрын

@@gameseeker6307in trig

@deananderson7714 10 ай бұрын

@@gameseeker6307engineering

@fatitankeris6327 10 ай бұрын

@@gameseeker6307In your computers to function at all, and planes to fly, and electricity to work.

@MathatAndrews 10 ай бұрын

Who said math is useless 😅

@camerons6028 10 ай бұрын

The real magic is that someone in the class learned that magic isn't real. Next week debunking Santa and the Easter bunny.

@jacquesroche7654 10 ай бұрын

Don't leave out the tooth fairy

@ifireatwill2225 10 ай бұрын

@@jacquesroche7654I did leave out the tooth, and dont call me a fairy! 😂

@highviewbarbell 2 күн бұрын

@@ifireatwill2225surely, you cant be serious

@aryansingh7209 10 ай бұрын

Man teaching the hardest topic in mathematics just so casually.

@IIIztosee 10 ай бұрын

By far not the hardest topic in mathematics

@vincentchan4777 10 ай бұрын

@@IIIztosee topology is one of the hardest if not the hardest topics in mathematics. source:- took a topology course during my bachelors. almost messed up my grade lol

@azursmile 10 ай бұрын

@@vincentchan4777proof qed 😅

@kokid312kokid 10 ай бұрын

@@vincentchan4777that's like saying "biology is the hardest topic in the study of life"

@twstdreality 10 ай бұрын

@@kokid312kokidactually, the hardest topic in the study of life is defining what a woman is ☝🏻🤓

@jyienger 10 ай бұрын

They say earning your first Abelian is the hardest one.

@jlmsmith2113 10 ай бұрын

Love the girl in the back that groans in disbelief after the teacher says he has just proven that magic isn’t real! Hilarious 😂

@adrikkozlov 10 ай бұрын

You can tell he's dedicated to his profession. The little smile of accomplishment on his face. Teacher by choice

@MathatAndrews 10 ай бұрын

We certainly don't do it for the pay! 😃

@forcedtomakeanaccount7628 10 ай бұрын

Thanks man, here I was, thinking they were stuffing 20 bunnies in a hat and chopping people in half

@imaginaryuniverse632 10 ай бұрын

It's amazing how magicians are able to undo that connector and put it back together so fast we don't see it 👍

@milesjohnson4526 10 ай бұрын

They disguise reality a different way.

@keithstarnes7009 2 ай бұрын

Exactly... mastering sleight of hand is difficult... and the mechanics of a magic trick really isnt the magic... the magic is the magical experience you get from witnessing a very crafty and skillful magician. Magicians create experiences. They allow you watch and see things that optically are indistinguishable from real magic.

@Tabu11211 11 ай бұрын

No idea what I just witnessed

@samueljehanno 10 ай бұрын

Me too

@deanazarnush884 10 ай бұрын

it was the second coming

@jamesdurham5295 10 ай бұрын

Proof that magic is real

@imaginaryuniverse632 10 ай бұрын

I don't think it was proof that magic doesn't exist 🙄

@fishmongers 10 ай бұрын

Abelian

@sidharthgautam8989 10 ай бұрын

Loved the excitement, never expected it in a maths class😂😂👍

@clintonjurgens7239 10 ай бұрын

The best professor I had in college was my differential equations teacher. He clearly loved the subject.

@SuperMaDBrothers 10 ай бұрын

The only real life application of algebraic topology

@marioarguello6989 10 ай бұрын

Clueless

@abebuckingham8198 8 ай бұрын

Anywhere there are graphs applications of algebraic topology are lurking nearby. Logistics and networks are whole industries that use them constantly. They have working groups and stuff.

@maj46978 6 ай бұрын

I guess you don't know about topological data analysis

@edinfific2576 10 ай бұрын

Now I understand even less the reason why that's not possible. 😬

@literallyjustayoutubecomme1591 7 ай бұрын

The goal is to show that the two spaces are not homemorphic, which, in layman's terms, means that one cannot be transformed into the other by continuous deformations (stretching, twisting etc, but tearing is not allowed). In general it can be difficult to show that two spaces are not homeomorphic, so invariants are considered. If two spaces are homeomorphic, their corresponding invariants are necessarily equal. Equivalently, if the invariants differ, the spaces must be necessarily non-homeomorphic. The fundamental group that the dude is talking about is one such invariant.

@alriz7066 10 ай бұрын

the rings have tiny gap that allow rings to be connected easily. but to make sure those gap not seen by audiences, magician hands play a big role in making sure it work smoothly

@abrammedrano4392 10 ай бұрын

And that's why you probably fail math.

@josh8584 10 ай бұрын

@@abrammedrano4392What do you mean?

@anthonyfaiell3263 10 ай бұрын

Yes, the point is that if the magician was being honest with us, it would be impossible. We can mathematically prove it. So it's clear through mathematical logic that the magician is not being honest with us.

@josh8584 10 ай бұрын

@@anthonyfaiell3263 The whole point of magic is defying physics. If someone claims to be able to alter the laws of physics at a whim, you can't use physics to debunk their claims. No, I do not think magic is real, but you can't prove it's not.

@davidtomasetti8520 10 ай бұрын

David Blaine checking in lol

@mahonrimartins1767 10 ай бұрын

The excitement in the class is so MIT

@DC-zi6se 10 ай бұрын

Ah good old group theory. 😂

@deananderson7714 10 ай бұрын

In this case we should be using ring theory lol

@anuraagkumar978 10 ай бұрын

@@deananderson7714HAHA good one

@philmccavity 10 ай бұрын

@@deananderson7714nicest joke ever award goes to you, sir

@Ridz149 10 ай бұрын

At lower levels, maths is a language that makes things in life easier to understand. At higher levels, maths makes things in life harder to understand.

@MathatAndrews 10 ай бұрын

Pretty apt description.

@Ridz149 10 ай бұрын

@@MathatAndrews 🫡❤️

@parkerbond9400 6 ай бұрын

Them: you'll never need algebraic topology in the real world This guy: took this personally

@stevenbravo5678 10 ай бұрын

How did I ever get this far in life without knowing that??

@MichaelNavarrete87 10 ай бұрын

I say this professor is worth abelian

@MathatAndrews 10 ай бұрын

Yet I don't even get paid half that!

@gonnahavemesomefun 10 ай бұрын

Imagine him on a first date in the audience of a magic show 😂😂😂

@chasepalagi7675 9 ай бұрын

This is one of those "no math required" type problems! Glad he's having fun though!

@jester4348 10 ай бұрын

Thank you for keeping my social science classrooms filled homie!

@LightKnight_Age_Of 10 ай бұрын

Magic is precisely about doing something impossible. It's about pretending to do something which is yet impossible.

@GarnetDart 10 ай бұрын

you mean like the theory of human creation?

@LightKnight_Age_Of 10 ай бұрын

@@GarnetDart ?

@GarnetDart 10 ай бұрын

@@LightKnight_Age_Of The theory that God made man. You summed it up perfectly. Impossible

@dirtisbetterthandiamonds 10 ай бұрын

When math creeps up in your KZfaq feed like tests on Friday in school ...

@dancl8674 10 ай бұрын

How really smart say, “I don’t know how they do the trick.”

@hungrypanda4506 9 ай бұрын

When you ask your math professor for real world application of algebraic topology

@nebkay 10 ай бұрын

I always wanted to know the mathematic formula behind those 2 rings to know if it’s possible or not

@carebear2883 10 ай бұрын

Yeah, good thing he was there cuz everybody thought it was actual magic 😲

@INNoMATHsforyou 10 ай бұрын

So one magician called me on the stage and he asked me to do it. I gave the exact same reason and he made the whole crowd laugh at me. He asked my college name. I said. I studied Applied Mathematics from IIT Roorkee. And what a joke he made on me. He said that it's something that is beyond mathematics.

@sirpomegranate2446 10 ай бұрын

Super villain origin story

@pablomartinsantamaria8689 10 ай бұрын

@@sirpomegranate2446literally

@anthonyfaiell3263 10 ай бұрын

Understanding requires effort, something most people don't want to apply. And the way they rationalize being ignorant is by belittling people who are more intelligent or who have put more work in than them.

@MathatAndrews 10 ай бұрын

Sounds like you need a mathematical support group! *hug*

@DoubleSidedSpoon 10 ай бұрын

damn, as a magician myself, that is a dick move. You shouldn't make a single person feel bad even if it makes a lot of people heppy. I'd give you a hug but i can't cause magic aint real :(

@astha_yadav 10 ай бұрын

I love people who pour so much passion into their jobs He's so cute 😭

@nanaeK 10 ай бұрын

12k likes on this video wow! Good to see Topology getting the spotlight it deserves!

@andybaldman 10 ай бұрын

I was captivated the whole time.

@fishmongers 10 ай бұрын

Probably because you were abelian

@yyaa2539 10 ай бұрын

Niels Abel is really proud 🎉

@maxwellspeedwell2585 10 ай бұрын

What is the “real-life application of algebra??

@mt7able 10 ай бұрын

Next, he’ll use Euclidean geometry to prove that Santa’s sleigh could never cover the whole globe from his starting point in the North Pole. 🎅

@MathatAndrews 10 ай бұрын

We need spherical geometry for that!

@donaterdoan3785 10 ай бұрын

Thanks, now you say it it appears obvious 😅 wasn't so sure before

@josh8584 10 ай бұрын

You weren't sure if it's possible for objects to pass through each other? Are you 3?

@Grizzly01 10 ай бұрын

@@josh8584 You were unable to detect the obviously humorous intent of the opening comment? Are you 2?

@josh8584 10 ай бұрын

@@Grizzly01 You misinterpreted a person saying it only now seems obvious to them that objects usually cannot pass through each other as an attempt at humor. Are you 1?

@Grizzly01 10 ай бұрын

@@josh8584 I misinterpreted nothing. You, however...

@josh8584 10 ай бұрын

@@Grizzly01 You most certainly did. There's no way thanking a person for explaining something could be misconstrued as a joke. You haven't spent enough time on earth, my friend.

@jac6362 10 ай бұрын

My five year old daughter and I were just discussing this the other day.

@y0uCantHandle 10 ай бұрын

Next time I am at a magic show: *_”haha … tHaT rInG’s NoT aBeLiAn!”_*

@carebear2883 10 ай бұрын

And the magician will answer ‘dang ! He knows I’m not doing actual magic 😩´

@brandontylerburt 10 ай бұрын

And yet the rings still somehow come apart.

@charlieb8735 5 ай бұрын

I love this. It’s a goofy and simple way to explain an aspect of topology/set theory in an intuitive way that doesn’t have the intimidating names attached.

@MathatAndrews 5 ай бұрын

Thanks! That was the goal!

@omargaber3122 11 ай бұрын

The videos that show the separation of the two episodes from each other on KZfaq collect millions of like. , the videos that show the impossibility of that:-....🙄

@samueljehanno 10 ай бұрын

Yeah

@richardgraham2303 10 ай бұрын

You must be the life and soul of the party . Next week’s lesson for the kids is Santa doesn’t exist

@nicolausteslaus 10 ай бұрын

Thanks Kermit the Frog!

@randallsmerna384 10 ай бұрын

SMH! The dude doesn't even know how much a billion is! 🙄

@itsmymillertime182 10 ай бұрын

You can't call something a fraud when it was never claimed to be true in the first place.

@ricardodogfishtiger8582 10 ай бұрын

Magicians often preface their act by pointing out everything you see is a trick, employing suggestion, distraction and other devices, some of them ancient. Derren Brown does it all the time.And he would be the first to admit that there is no such thing as Magic. The whole world is a marvel but not a miracle. R, 😎❤️👹🤩🥸😍👍.

@Pommes736 10 ай бұрын

Finally some real math, not this high school gibberish from youtubers who not even having a math major or even could hope to get one in a mio years

@sebgor2319 10 ай бұрын

What is bad about highschool math tricks? I mean if you want to learn advanced mathematics, then I think reading a book and trying to solve some problems from that topic is better than watching a video about it.

@MathatAndrews 10 ай бұрын

We have several lecture series on the channel that may be of interest - graph theory, knot theory, differential geometry, advanced linear algebra, metric spaces, etc.

@Pommes736 10 ай бұрын

@@MathatAndrews Thanks for letting me know.

@Pommes736 10 ай бұрын

@@sebgor2319 These so called math tricks are just baby gibberish which won't do you any good in any real problem situation. Also when you decide to actually study math you won't be calculating anything at all. I am German and having 3 degrees from German universities and one of those is in pure Math, so let me tell you if you wanna learn what you call advanced mathematics you can forget any "trick" you know as it is not a trick just some useless clickbait.

@sebgor2319 10 ай бұрын

@@Pommes736 I know that there is like no calculations in advanced maths. Still Im talking about highschool People that learn Basic calculus, or Basic algebra(factoring, or quadratic formula). I mean this math videos might be useful for them.

@Johnrich395 10 ай бұрын

Correction, you have proven a case where your math doesn’t work!

@RuthvenMurgatroyd 9 ай бұрын

Lol😂

@bkilpatr100 10 ай бұрын

I came to see a magic trick and got an Algebra lesson instead... Now I know what's a billion and what's not a billion.

@sambhusharma1436 10 ай бұрын

Want to learn algebraic topology 😢

@eccentricaste3232 10 ай бұрын

Shhh

@MathatAndrews 10 ай бұрын

We will be posting a series of lectures introducing algebraic topology in the upcoming months!

@mickblock 10 ай бұрын

Today's lesson: How to make mathematics seem even more ridiculously pointless than it already seems.

@reu.mathematicsacademy8566 6 ай бұрын

May Abel rest in peace... having died at a very young age and did a significant contribution to the field of mathematics especially in topology and abstract algebra

@panapana4854 10 ай бұрын

Topology was soo long ago... Is the difference between the fundamental groups the number of holes?

@MathatAndrews 10 ай бұрын

Essentially! We have a lecture on the fundamental group on the channel you can watch.

@davidmcbrayer6458 10 ай бұрын

My abstract algebra teacher in college was not like that

@a.s.l711 6 ай бұрын

Magicians are smart . They came up with an attractive application of science and called it magic.

@MrManultra 10 ай бұрын

You know we just had an argument about that last night.

@MathatAndrews 10 ай бұрын

Leave it to math to settle an argument!

@nicholashamblin3600 10 ай бұрын

When is a knot not a knot. I find it fascinating that a knot displaces more negative space than a not knot

@Mnaughten601 10 ай бұрын

Wish I had an abstract teacher like that.

@anisbousclet5277 2 ай бұрын

When the two circles are linked the complement of the link is a wedge of a sphere with a torus, and if they are apart it’s a wedge of two spheres and two circles.

@IShould.veKnown 10 ай бұрын

That girl saying “ewwww” got me rolling 🤣

@isaacdeutsch2538 10 ай бұрын

Did this in my differential topology course last year, but we used the linking number instead of the fundamental group (because differential, not algebraic lol). The Hopf link is not link isotopic to the unlink :)

@GCKteamKrispy 10 ай бұрын

Will start topology soon. Good explanation of what it studies

@garymartin9777 10 ай бұрын

this is abstract algebra.

@Galbex21 10 ай бұрын

I thought he was saying "not a billion"

@GWOAT 10 ай бұрын

Penn and Teller should just shout 'Abelion' at every trick!

@SKPetel 10 ай бұрын

can't wait to see you on pen and teller

@chriswilliams8159 10 ай бұрын

"Why did the chicken cross the mobious strip??" - "To get to the same side...Bazingaa!"

@geoffp1292 7 ай бұрын

I guess he doesn't believe in Santa Claus either...🎅

@brycehowell2560 10 ай бұрын

“Eureka!”😂

@michaelobrien5910 10 ай бұрын

Mathematicians. Spoiling magic since 1665

@alphagamer7058 Ай бұрын

one of those rare applications of algebraic topology that everyone understands:

@drumsonsnow 10 ай бұрын

Thanks! I always wanted to learn to do this trick!

@Waverlyduli 10 ай бұрын

Suddenly I have the courage to relinquish my foolish belief in magic.

@lucasgroves137 8 ай бұрын

Good demo of why nearly all your learning will actually occur by you reading the book.

@andream61 10 ай бұрын

Algebraic topology is indeed magic

@ben_jammin242 10 ай бұрын

Started off as a joke, culminated in an idea for a project. Thanks!

@ben_jammin242 10 ай бұрын

For circles in a 2D plane, is there a concise mathemical way of determining if the circles overlap, and to what extent they overlap? Specifically on a complex plane. Without measuring radii, distance... if possible. More, "based on principles?"

@RuthvenMurgatroyd 9 ай бұрын

@@ben_jammin242 How could it be possible to tell if two circles overlap without distance? Overlap is a question of the intersection between two sets of points. Without distance, how do you have a notion of position and hence overlap? How do you even define the circles in the first if you aren't given radii?

@chopnchoopn13 6 ай бұрын

Where is the full video of that?

@DrFunkman 10 ай бұрын

Saw a comedy magician that opened with “I’m gonna start with a classic: The linking rings. As you can see, they’re already linked. That saves us a lot of time” before throwing the rings offstage

@carebear2883 10 ай бұрын

Is there a video of that ?

@magicalmiller 10 ай бұрын

It's Amazing Jonathan.

@SeanReevesD 10 ай бұрын

@@carebear2883lookup Amazing Jonathan

@keithstarnes7009 2 ай бұрын

Magicians are great entertainers.. that's what they do. They create fun magical experiences and it dosent mater how it's done. The real magic is what you experienced and believed that you saw. We can't perform real magic but Magicians can give you the experience as though you have seen real magic. That's the real magic.

@mistersneakypants3234 10 ай бұрын

Super cool something to near 0° K and they can suddenly have objects phase through them.

@xenmaifirebringer552 10 ай бұрын

0 K, no ° please

@smuhhhh 10 ай бұрын

I got to the same answer, that they can't be pulled apart but more so by gut feeling.

@stevenrowlands7731 10 ай бұрын

But when the two fundamental groups are boungd by inter coalescence then the abilian properties become quasi-miogastonian allowing the molecules to act as a liquid state under pressure allow each molacule to interlace between each other without loosing it's electro cohesion

@SellusionStar 10 ай бұрын

I thought that's the reason it was called magic in the first place 😂

@joyboricua3721 10 ай бұрын

Math is like magic, but real (& imaginary... it's a complex idea)

@lalitasharma6687 8 ай бұрын

I hate mathematics for this reason as chemistry major ( typology is really important in chemistry unfortunately 😢)

@leigheverett4491 10 ай бұрын

Wow that explanation was much clearer. Up until now I thought that it was possible to separate two fixed rings that were linked together. 🤔🤔🤔 Never trust a magician to chain your bike up. It just comes loose.

@kevinlister4610 10 ай бұрын

What's purple and commutes? . . . An abelian grape.

@CLove511 10 ай бұрын

Thank goodness for math to explain in the most convoluted ridiculous way what anyone can figure out in 3 seconds of hands-on experience

@izzabelladogalini 10 ай бұрын

What about a Mobius strip.... if you have one with a complete 360⁰ twist (180⁰ will result in a single loop twice the size of the original) and cut it in half along its length you'll end up with two linked but separate loops .... I know that's not quite the same but it does show you can make interlinked loops without the need to rejoin anything

@valberm 10 ай бұрын

This guy truly is abelianaire.

@onradioactivewaves 10 ай бұрын

This guy must be fun at p̶a̶r̶t̶i̶e̶s̶ math lecture.

@pstrap1311 10 ай бұрын

So impressive that this guy is a math professor and an autistic surgeon. Respect.

@TheMarioramos80 10 ай бұрын

who said magic couldnt be boring?

@ZippySleeves 10 ай бұрын

"A billion? No sir" .... "Oh, abelian! I definitely didn’t need to Google that"

@Johniakson 10 ай бұрын

What about in quantum physics 🤔

@danieljensen2626 10 ай бұрын

No way KZfaq could have known I know what an abelian group is when recommending this short, but they got lucky this time.

@antugg18 10 ай бұрын

Exactly what I have wanted to say for years about that trick but didn't have the mathematical wherewithal to enunciate it as he did.

@mestarryeyed 10 ай бұрын

I strongly advice anyone interested in mathematics to watch his full knot theory course - it is the best one on youtube for sure, you'll like it, believe me