Math vs Physics - Numberphile

Robbert Dijkgraaf is a mathematical physicist. Extra footage from this interview: • Math vs Physics (extra...
More links & stuff in full description below ↓↓↓
Robbert Dijkgraaf website: www.robbertdijkgraaf.com
Physics videos by Brady (who makes Numberphile): / sixtysymbols
This video was filmed at the 2017 National Math Festival in Washington DC.
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.
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Videos by Brady Haran
Animation in this video by Pete McPartlan
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[@numberphile]

Extra footage from this interview: kzbin.info/www/bejne/fKHOp4GAeLt4i6M

[@chrisrosario6114]

Numberphile nice

[@thecease6910]

If you could also do engineering vs physics.

[@FoxDren]

The Cease engineering, like physics but actually useful.

[@ozdergekko]

Awesome lecture!

[@michaelnovak9412]

The Cease don't go too low, there is no place for comparison between the two.

[@nw1259]

_"They deal with this messy thing called reality."_

[@DarkAngelEU]

Reality is messy, which is why mathematicians will probably never, ever, find that Lingua Franca he was envisioning at the end. They're too obsessed with putting everything into numbers while frankly the Universe does not care. It works just because. I happily invite anyone to prove me wrong tho.

[@hybmnzz2658]

@Mr. H "high mathematics is the logic that describes reality" just lol. You have no idea what you are talking about. Math is not a natural science nor does it rely on the scientific method. You see where the axioms and definitions take you. You prove it using tools from propositional logic and what not; not by observing anything. A common trait among physicists is this stoner logic. Math only works in the real world because the axioms are inspired by physical things (measure, distance, counting) but it is not obliged to represent somethin physical.

[@h00db01i]

_everybody must get stoned_ -Bob Dylan

[@dreandro458]

@@h00db01i lol. bob dylan may be clever, but not wise

[@h00db01i]

@@dreandro458 troof, I guess. but then I got to use the EM dash...

[@TeamDemoClan2]

Why study applied maths, when you can study pure maths and let physicists apply it for you in 100 years ;)

[@kiranadhikari4192]

Vort3x unfortunately bigger fraction of mathemarics is motivated by Physics .. Example: Calculus, fourier transform, functional analysis,

[@ss00mm11]

Because there is more of a payoff applying math to reality. If there was no physical application, then we would have no technology essentially. Obviously, you need the math, but if you measured the effort and outcomes of mathematics up to this point, and put that up against the progress we've made as a species applying math to physics, I think there is a strong argument to say that there is more benefit and useful applications created from the application of math to reality than there are benefit and useful applications created by just creating mathematical models, on average, at this point in our history.

[@TeamDemoClan2]

This wasn't a serious comment guys...

[@TeamDemoClan2]

Also, I hear what you say and raise you all of modern algebra.

[@fossilfighters101]

+

[@saumyaranjan9256]

I thought mathematicians and physicists are going to fight with armour on. Guess i was wrong

[@JayTemple]

Be patient.

[@sophiacristina]

They can't show it on youtube, check on liveleak...

[@noname-it2up]

They're two sides of the same coin. Newton invented calculus

[@yassinenacif418]

@@noname-it2up Leibnitz*

[@hybmnzz2658]

@@yassinenacif418 Archimedes

[@Tir33nts343]

This man appeared in my dreams and gave me a lecture on quantum physics

[@tgmtf5963]

You must be high

[@BOBMAN1980]

How much do you remember? I want to know.

[@dan-us6nk]

dream it again please

[@iammaxhailme]

When I went into graduate school (for chemistry), I realized that much of the subject can be reduced to purely mathematical group theory.

[@Thetarget1]

Same for physics.

[@winson5159]

but it just uses a little part of group theory. Algebra is huge, we now have algebraists who spend their whole life just on algebra. Now algebra can be applied to error-correcting codes, physics, etc ....

[@JannikPitt]

Diego Morales Yeah, no.

[@chadliampearcy]

Tell me more. iammaxhailme. Are there any resources of chemistry broken down into math. I am also interested in the reason and properties of tables.

[@Golabekrafts]

most of inorganic chemistry is described with group theory

[@davidlynch4202]

When I saw the title I was expecting to see all of Numberphiles mathematicians and Sixty Symbols' physicists battling it out. Not disappointed though

[@TeeCaTisBack]

I love how emphatic he is, look at him smiling when talking about the sum of histories. He's probably told this 100 times and it still excites him

[@dmunter]

The idea of math being grounded in our physical experience is explored well in Lakoff and Nunez' "Where Mathematics Comes From." Highly recommended book if you are interested in a more anthropological/psychological perspective on why we care about the kind of mathematics we do!

[@juanausensi499]

One way of conceptualize that is thinking: 'physics is physics of the actual world, mathematics is physics of the abstract world'. You can use maths in physics because the abstractions of the abstract world are usually models of the actual world.

[@swankitydankity297]

Why does everyone want to establish some sort of hierarchy of science(s)? It's not like Maths > Physics or Physics > Maths. For a physicist, math just happens to be a tool of the trade, but a mathematician is far more specialized on maths rather than its applications. It's not like a physicist is better than a mathematician or vice versa.

[@dealwiththebob3877]

Swankity Dankity this is just how humans work.

[@Noah-fn5jq]

It's about what can exist without the other. Physics can't exist without maths, and maths can't exist without philosophy. In converse, philosophy will exist regardless of the existence of maths, and maths will exist regardless of the existence of physics.

[@lowlize]

Philosophy is logic applied to the universe. Mathematics is a rigorous formulation of logic as a language. Physics is the application of that language to describe the universe. So physics is just a rigorous formulation of philosophy.

[@ej28]

noah schaefferkoetter maths is the language of the universe but physics is it's actions.

[@jmiquelmb]

Swankity Dankity Because everything is an ego competition for some people

[@disgorgeengorge]

"Anyone who claims to understand quantum theory is either lying or crazy" -Feynman supposedly.

[@Noah-fn5jq]

I'm still holding out on current findings. There are numerous alternative explanations for us to put all our eggs in the basket of "spooky actions at a distance".

[@xyz.ijk.]

There's video of him saying it.

[@harrisonbennett7122]

OR both

[@sophiacristina]

@@hs9577 Its been 2 weeks...

[@sophiacristina]

Nice, i can then say i'm in the same level as those top physicists...

[@pfeifenheini]

2:29 "This is a Pen" for a very brief moment I expected him to say next "This is an apple". I need to spent less time on the internet.

[@arson4852]

you need to spend less time in 2016

[@MrTohawk]

And this is a TV that looks like an apple.

[@jamma246]

pineawpewrl pen.

[@cendyywarlos]

“This is not a pipe.”

[@Snyzeru]

the book is on the table

[@JanSanono]

Robert Dijkgraaf!!!

[@jackeea_]

Dijkgraaf - for when you need to find the shortest path to your lightning ball generator

[@alephnull4044]

+Jackeea Ha!

[@soufian2733]

ik wist dat het een Nederlander of een Vlaming was aan zijn accent

[@JanSanono]

Soufian 27 ik dacht eerst aan Denemarken t/m ik zag wie t was

[@meh1672]

ik herkende de thumbnail meteen! :)

[@Soulthym]

7:13 turn on autogenerated captions to learn what knot theorists really study

[@unvergebeneid]

How do you find all these great communicators, Brady? I mean it's one thing to find smart people but to find smart people who have such beautiful language or can explain things so well? Do you have castings for your channel?

[@tseuren123]

this guy is a famous dutch mathematical physicist, he has a program on our national television channel and made some very nice lectures on tv. Also he is the Director of the Institute for Advanced Study.

[@unvergebeneid]

Those programs and lectures.... they don't happen to be in Dutch? Because my Dutch is limited to just speaking English or German and hoping someone will understand me :/

[@tseuren123]

Penny Lane sadly in dutch, maybe you can find subtitles? his tv program is called the mind of the universe and the lectures are of DWDD

[@hunerjalal1986]

So basically it’s all about solving problems 🧐🧐🧐

[@ShinySwalot]

My first year of my study was opened by this man, amazing lad

[@charibrianshingirai5358]

Where.... curious

[@ShinySwalot]

@@charibrianshingirai5358 Utrecht! (In the Netherlands)

[@ClaudioCP]

Absolutely amazing, mesmerizing conversation!

[@ethanchaney1139]

This is the reason I decided to focus on on math more. This stuff is so cool and I feel that if I keep studying and getting into higher math classes I get to learn and understand this. This channel is one of the reasons I want to pursue math. Thnx

[@mrnarason]

Taken two semsters of quantum, might as well would've been math classes. Also, it is interesting to see physics advances math since it is mostly the other way around, ie, green function, qunatum mechanics, math to physics, and orbital mechanics, calculus, physics to math.

[@xpythagoras4044]

when you advance math, you are a mathematician, doesn't matter if your job title is physicist

[@EgoLTR]

Whoo Robbert Dijkgraaf! Our Dutch national treasure. Such a smart and inspiring man :D

[@geribaldusseverus1549]

EgoLTR he went to my high school

[@DeSaxofoonVanPeter]

Vivat haec societas!

[@lucasm4299]

EgoLTR Ok, ok. We get it.

[@bentleykennedy-stone673]

Lol, Robert Dickgraph

[@tuneboyz5634]

ur just a baby :)

[@manueldelrio7147]

Loved every minute... one of the best numberphile videos I've seen (and that is saying something). I read last week an interview of mr. Dijkgraaf in Quanta Magazine on this very same topic.

[@Sukhraj_Sekhon]

"This one is knot and this one is not" probably could've been phrased better lol

[@pablogriswold421]

s ss Nah

[@fergusmaclachlan1404]

Couldn't possibly have been phrased better in my opinion.

[@proof-xx1vv]

he said knoted

[@einanton5996]

Really loved the animation style in this one! Keep up the good work!

[@JabrHawr]

yes, haunting. amazing artists.

[@MrLDiabolo]

Fascinating! What a brilliant man. The fact that I could follow what was being talked about as a complete layman shows just how well he simplified it, and that means he has a deep understanding of it.

[@patrykmazurkiewicz3866]

I love your show, Numberphile. Thanks!

[@Krymsin-Zombie]

Thank You. As a maths major in university, I've been debating on wither or not to Double major in physics. And this video helped me sort some things out. Thank You so very much!

[@bennettjoseph9970]

James Roden what did you decide?

[@Chalisque]

Whether or not you decide to formally study physics, at least have it as hobby and try to develop a physics intuition and use the maths and physics viewpoints to aid each other.

[@__malte]

Cool to see Robert Dijkgraaf here! He’s a very popular physicist in the Netherlands, because of his televised colleges (that are really engaging and fairly easy to understand). I believe he’s the head of the Institute for Advanced Study in America (the same institution Einstein worked in)

[@jayzonedc6474]

Physician or physicist?

[@__malte]

JayzOned C Lol. Changed it now.

[@antoinesteeghs7313]

And now he becomes the minister of education in the Netherlands

[@GodKingOfThePlanet]

Favourite video from your channel so far

[@l.3ok]

Man, this is one of my favorite videos of Numberphile.

[@DaniErik]

8:37 Is that a reference to Newton's famous line: "I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the sea-shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me."

[@saladinzhk]

It's a pity that this guy is not a regular at Numberphile

[@srijanagrawal4591]

thank you brady for this wonderful video. you are a gem.

[@mufedalahmad6187]

You’re giving so many different subtitles that is fantastic 👍👌

[@ScienceTime]

Nice animations Mate! Congratulations

[@yoshtg]

6:57 LUL

[@MrDeny105]

I was searching for a comment like this xD

[@martiddy]

Kymate Robbert was like: "Damn it!, It's not what it looks like"

[@zjuul]

With nuts

[@supatol]

What an awesome video! As a Dutchie myself I feel very proud to see a fellow Dutchman get onto this channel. I was hoping to see some more about Erik Verlinde with his gravity theory that brings Quantum Theory and Relativity together, but that hopefully for another video? Just want to say I love your video's. You gave me the love for mathmatics that I always, but never used. Thanks for that . Much love from the Netherlands, and keep up the good work!

[@GerHanssen]

You caught a big fish with Robbert Dijkgraaf, Brady. And it speaks for your work how willing he is to contribute. Well done.

[@benjamindanforth325]

This was an excellent interview, I'd love to hear more about the "sum over all histories" - which I am sure is Feynman's path integral. Maybe another video on this?

[@rajinfootonchuriquen]

It is

[@webermaster8595]

Always love to hear Robert speak. He can talk about very complicated topics and make them understandable for everyone. On top of that the enthusiasm he has for science is something that comes across very clearly and makes you enthusiastic about science as well

[@vertxxyz]

This one was great. The speaker, the discussion, the art. All fantastic :)

[@Thorr26]

lovely animations and an interesting topic, great job Brady

[@pinco_pallo]

I love both of these two wonderful subjects. I really like science. 😊

[@Milos89kv]

Casio F-91W My man, I've been wearing it for 3 years already. Best watch ever.

[@kp8129]

HELLL YEAAA this is trending!! Awesome content, keep it up.

[@jasonbutler2605]

Very interesting, very well explained, very informative. A really rare explanation of many abstract notions in a few minutes. You know someone knows his subject very, very well and is definitely confident for what he says, since he can explain it vividly, simply and fully understandably to a layman, like me, who does not have any special knowledge of physics or mathematics. "The sum of all histories" is a remarkable definition for quantum mechanics events. Nothing but deep respect for Robbert Dijkgraaf, a true scientific personality.

[@contestofnerds]

I like how everyone is talking like they have degrees in math, physics, chemistry, and biology. I have to assume they must be professionals based on the way they speak with such knowledge of all these subjects.

[@kingplunger6033]

I don't, but I study it and even I know that most people in the comments just write bs ^^

[@user-dr9gs6wh1k]

Who did you think watches there videos?

[@scrambledmandible]

@@user-dr9gs6wh1k KZbin commenters

[@holomurphy22]

Some actually do. We have nothing else like that, society generally does not take math as something worth for entertainment (sorry for my english).

[@viorelvintila4973]

"Is math related to science?"

[@anhbayar11]

Yes. But Math is complicated but it's necessary in every science.

[@espanaeslamadrepatria4042]

Mathematics is the language of the universe therefore it's also the language of science.

[@sintar02]

Great topic, great guest, great video Brady. Well done.

[@stulora3172]

This is by far the best numberphile interview.

[@alanj4507]

Physics wins 60% of the time, every time

[@vincentedernier6682]

Alan J Define "win" please.

[@jackprice9072]

Alan J perfect use of that reference

[@JustBecause7754]

theUnknown wrong order

[@jkoh93]

you must be a goblin. gnomes dont say that

[@nickhohl3468]

Alan J math is entirely made up

[@aiman4036]

In this video "Physicists are plumbers." In the extra footage "Physics is like art."

[@eliannam.5700]

Aiman Al-Eryani I can imagine plumbers doing art, but it would be shitty.

[@Nothing_serious]

Plumbing is art

[@dAvrilthebear]

Thank you, Numberphile, this is wonderful! :)

[@robertvralph]

Brady, great job with these new visualizations. I love the painted feel!

[@SleepyLizard]

I agree.

[@sonavvs]

I see Robbert Dijkgraaf, I insta like this video. He's a famous Dutch Physicist and he has done a couple of live tv lectures in the Netherlands. edit: changed lecteres to lectures

[@jonathankleinschiphorst1951]

sonavvs, he also does 'mind of the universe', which is on Dutch television every Sunday! Very interesting stuff.

[@ronanmcintyre]

Jonathan Klein Schiphorst Do you know which channel it's on?

[@jonathankleinschiphorst1951]

Rónán McIntyre, NPO 1 2 or 3 (not sure), maybe you can access it through vpn if you are not dutch.

[@Floppert314]

Rónán McIntyre you could probably find it on youtube, but it will be in dutch

[@sonavvs]

It's on NPO 2 (just looked it up) on sunday 21:05.

[@andersonkurk3976]

#40 on trending woo!

[@GinoTheSinner]

Could listen to this forever!

[@SlothinGames]

Like them both. Playing around with mathematical objects and observing patterns is fun, and so is finding out about the physical world; also the fact that they have a close relationship makes it even better :)

[@feynstein1004]

Physics is just math but with the constraint of reality whereas math is the study of logic and all of its possibilities. Just as engineering is physics but with the constraints of economics, practicality and purpose. In other words, physics = what is? math = what can be? Engineering = what can we build for the cheapest price?

[@JayTemple]

You reminded me of something I said once: To a pure mathematician, the square root of 2 is the (positive) number whose square is 2. To a computational mathematician, it's the sum of a Fourier series. To an engineer, the square root of 2 is whatever measurable number has a square close enough to 2 for a thing to work.

[@tghuffine6277]

Best comment for the mileage!

[@fcturner]

This man just became the Dutch Minister of Education!

[@robertbrekelmans3256]

Cool, a dutch professor on Numberphile. It's a joy listening to him. He can explain physics with such enthusiasm, that you almost would consider a career change. :-)

[@Albandbart]

Great material. Thank you Numberphile ;)

[@SamP1ace]

I have a question that I hope some physicists might be able to help with. Disclaimer, I'm a philosopher so more of a metaphysician than a physicist. My question: Just because we don't *know* what path the electron would take from A to B, and so we can only *describe* it as having the probability of taking path P or path Q, does that mean that it's accurate to say that the electron actually *is* both P and Q, or can all we say is that our knowledge is limited? Essentially: isn't it a fallacy to jump from an epistemological factor to a metaphysical one?

[@architakumar2579]

We know what path it takes. We dont know without observation what behavior its exhibiting atm

[@MRT-co1sd]

There’s only one path where the electron came from(I.e. as soon as measured it) but there is many possible path where its heading to the next point and it’s based on probabilities. However, as soon as it arrived in the next point, it arrived only via one path.

[@julessmith2]

1999 world cup semi-final Australia v South Africa

[@shutupimlearning]

the way he explains things is so absorbing... I hope i can be a mathematical physicist like him someday....

[@user-pu1rn5it4q]

I love Robert Dijkgraaf. I have seen a few of his DWDD-University videos, and it's just so interesting.

[@MrMartin1538]

None of the Sciences or Math is King. They are all equal describing complex phenomena in the universe and we should appreciate them all equally. Not argue about it in comments

[@jardondiego]

Finally a comment from someone above 14 years old.

[@CrimsonKnightmare1]

Math is king

[@NielsHeldens]

Finally! A Dutchie on Numberphile!

[@ShadowDatsas]

awesome interview!

[@michaelmichael5974]

Thank you for this. I'm truly inspired to learn math now that I see it in a new light

[@mathsmoica]

Mathematics is the queen of the sciences Gauss said. End of the game !

[@villaholland]

Maths moi ça ! And who's the KING

[@dariusduesentrieb]

Yeah, gauss was a mathematician, you cant expect him to say something else.

[@cesardg1998lol]

Darius Duesentrieb he actually researched a lot about stars and comets

[@shellcase1436]

Maths moi ça ! I think physics is king, and math is queen. Physics deals with real situations, like a king, and math tells physics how to do it, like a queen. Math= queen physics = king. With both combine Math + Physics = kingdom or in this long metaphor math+physics = the universe or reality. This metaphor is also based on the old days, so feminist do not take this the wrong way.

[@villaholland]

EFoE wut...who's Prince?

[@brooksey097]

Does anyone else feel like everyone in the world should see videos like this? Not because they will apply it everyday or make the next discovery, but just to expand their mind and teach them totally new ways to think about reality? It just seems important.

[@evanw7878]

Shut up

[@w2quick]

this is the best numberphile video. i love pure mathematics, and also love physics. its great so see theyr interaction on modern science

[@lucyfrye1337]

Another great episode, Numberphile, you guys are awesome. Commercial world, please sponsor these guys.

[@zandnothinga7367]

Physics and math exist in a superposition ;))

[@Maniclout]

Mate you're a golden nugget

[@42scientist]

-0.08333333333333333333333333333333333333 = -1/12 right ? HOW DARE YOU !!!

[@42scientist]

* not quite equal though

[@chimkinNuggz]

me and my gf have a superposition in bed where when can either be in one or two places at the same time.

[@brucehartley3109]

Take one twelfth.

[@AandrejS.]

7:22 Deez Nutz

[@GuppyPal]

Excellent video. Thank you.

[@raresmircea]

The graphics were fantastic! You should do representations more often.

[@tobelebo9]

Look: i've only heard the basics of quantum mechanics in youtube videos and giant group lectures and isn't it more likely that quantum particles are too small and too fast for any creature to understand it. Basically meaning that whatever we measured/calculated always gives differend answers because they are incomprehensible by humans and current technology.

[@goclbert]

Tobias K. No. Knowing both position and momentum is fundamentally impossible. It is a feature of the system. Things like uncertainty apply to objects of any size as well. We've done the double slit experiment with molecules made up of thousands of atoms.

[@fabiocraigwimmerflorey6660]

I have Quantum Depression, it follows every possible path of my life at the same time.

[@MrLimitlessME]

This is the first time I've understood something about their differences. Thanks!

[@smokeygrateproductions]

Beautifully well-made video!

[@imbored4615]

"to describe deez nuts"

[@aduderules]

deez nuts indeed

[@airsoftcoalitionist]

My calc 3 prof said you always believe physics over math. There's times where math with give you an answer that just isn't physically possible

[@JayTemple]

Like the rectangle with sides -5 and -15 meters.

[@VikeingBlade]

@@JayTemple That cannot exist in math either, though. Length is defined as positive. But I guess that intersects with physics.

[@jeerdace8625]

Or the sum of all natural numbers is -1/12.

[@name5702]

Physics also gives answers that seem physically impossible, perhaps it’s better to think of the truth that maths and physics imply as being beyond human experience

[@mdbahrozbaburali]

@@name5702 such as? If Physics gives an answer, by definition it is physically possible.

[@marksimpson2321]

Excellent to see more of Robbert Dijkgraff.

[@alexxcabello]

This was a beautiful video!

[@ashishshukla5555]

is my phone wierd or the animation was ?

[@arianamolina729]

Physics ❤️

[@andrewturpin3977]

great interview

[@ClaspedDragor]

The graphics in thus video were particularly beautiful, it really enhanced it for me. I think this was top

[@jackdavidson386]

What are the differences between mathematical and theoretical physics?

[@MrCocktaiI]

Jack Davidson The line is kind of blurry, but mathematical physicists are first and foremost mathematicians who (mathematically and rigorously) model problems that pop up in physics, while theoretical physicists are more interested in the actual physics themselves and are not quite as mathematically rigorous.

[@jackdavidson386]

Thank you, I was struggling to decide on which uni course to go for and was getting confused by them

[@MrCocktaiI]

Jack Davidson Most of the time, knowing the department of the professor holding the class will tell you exactly what you are in for. If it is a mathematician, it is almost certain that the class held is head-on pure maths with the asterisk that the objects discussed can be used for physics. If the prof is a theoretical physicist, that line is not cut quite as clear - some focus more on the model itself, some on the applications, but overall, they will mostly not be as rigorous as a mathematician. If you are not certain what you are in for, talk to the prof or look up old lectures notes!

[@ilonnolan9259]

Is maths related to science?

[@kmasouss8449]

AEIOU UOIEA Math IS a science

[@stevenvanhulle7242]

It's the language of science. Contrary to science, though, math is about absolute truth.

[@passer2by]

Math is the language to describe science.

[@stevenvanhulle7242]

Bo Zhang - Not just describe, but especially DO. You can't DO science without math.

[@kvp6268]

AEIOU UOIEA Math IS a field of science!

[@ikarienator]

I have to say that this is one of the best videos on the Numberphile channel. Comparable to the Tadashi ones.

[@marthareal8398]

Sir, with respect, your explanation is very important. Thank you!

[@diogosilva5972]

"Even if you sit and meditate a 1000 years you couldn't come up with the laws of quantum mechanics" - Why would this be true?

[@nrrgrdn]

It's not

[@jocelleedmonddelossantos1903]

7:03 what kind of knot is that??😂😂😂

[@AndyRRR0791]

Love the animations!

[@RickSjoerds]

This man can teach the is the world and beyond. His level of understanding creates this simplified explanation, he has to teach people to understand these matters. I know I’m late! But I just enjoy these explanations from Robert Dijkgraaf.

[@Simxor]

Ik hoor die stem, ik kijk naar de description, een nederlander.

[@ype469]

Had is ook, DUTCH

[@jspeed04]

this was excellent, thank you

[@SquashPile]

Nice watch. Enjoyed the vid.