What is a Singularity, Exactly?

The singularity. Both the black hole singularity and the AI singularity. Predictions by Ray Kurzweil.
Hi! I'm Jade. Subscribe to Up and Atom for new physics, math and computer science videos every week!
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Sources
www.khanacademy.org/math/alge...
www.physicsoftheuniverse.com/t...
plato.stanford.edu/entries/sp...
www.businessinsider.com/ray-ku...
www.kurzweilai.net/the-law-of-...
en.wikipedia.org/wiki/John_vo...
www.singularitysymposium.com/m...
www.singularitysymposium.com/e...
www.da-vinci-inventions.com/ae...
The Singularity is Near : When Humans Transcend Biology - Ray Kurzweil www.amazon.com/Singularity-Ne...
Music: My friend Dom from KZbin channel Everythink wrote all the music in this episode. Check out his channel. He is brilliant.
/ @domburgess

[@jeremymiller9582]

“This sentence is false,” is a sentence to which it’s impossible to assign a truth value; it’s recursive (self-referential) and paradoxical (the assumption of the value “true” causes an evaluation of “false,” and vice-versa).

[@Vikash137]

Singularity is my current relationship status

[@pakteguhmalang9865]

:(

[@andrewpestano1086]

Nyahaha

[@pakteguhmalang9865]

Wait... Does that means you got married by yourself?

[@perhaps5095]

Aww I was gonna make that joke

[@richardfarrer5616]

At least you get to put "it's complicated".

[@aniruddhbhatkal1834]

"I am afraid of a day when a computer passes the Turing test , but am infinitely more terrified of the day when a computer intentionally fails one." Love, Cortana

[@thewhizkid3937]

Anchanted One but it is interesting to think about...

[@donaldsmith3107]

Awe but if it were truly intelligent would it ever actually pass one in the first place?

[@RORRIMMIRROR]

5G

[@kingsman428]

@@RORRIMMIRROR 5G A non ionising frequency band, what about it?

[@florh]

what makes you so sure that even a human will pass the Turing test? If you're terrified of the day when a computer intentionally fails one, you have humans to thank for it, because we all do intentional things, and not always for the right reasons. If a computer fails one, it might have to do with survival, which wouldn't make sense at all, because when a computer can fail one, it's smart enough to make backups just in case something happens.

[@aniruddhbhatkal1834]

that "adjusting the glasses after every math expression/ graph plot is absolutely hilarious!

[@TheWorldsStage]

If by "hilarious" you mean "insanely hot", then yes, I agree

[@bullseyebaby56]

And kibda hot too.... lol

[@nicthompson8596]

Insanely hot definitely!

[@PortraitofAsha]

It's annoying

[@jangirhitesh]

Didn't you notice 6:41?

[@otakuribo]

This sentence is _non-Boolean._ This sentence, much like division by zero, is _undefined._ *This sentence is a singularity*

[@brainmagic8816]

LOL this made me laugh.

[@AmitSingh-vt6ws]

no u

[@susmitamohapatra9293]

The following question is a singularity: Will you answer no to my question (yes/no) ?

[@PromethorYT]

@@susmitamohapatra9293 So could you also call it a Paradox?

[@susmitamohapatra9293]

@@PromethorYT yup, in fact 'paradox' might be a more fitting name to my question, given it's unanswerable nature

[@tibees]

Love the AI theme lately!

[@upandatom]

Thanks Toby :)

[@mr.osx3423]

Do u guys know each other personally ?

[@Ankushdas2001]

@@upandatom do u guys know each other

[@montycampbell1228]

@@upandatom ok I have no idea why or how “this sentence is false.” is a singularity. If “this sentence is false.” Is true it makes the false sentence untrue thereby making the fake sentence true. So quite literally, the sentence in understood to be undefined or the equivalent of 1 divided by 0.

[@blueberry2226]

@@upandatom just tell me how small is Singularity? How small it can get? I am not intrested in whats happening there or what is it made of. Just tell me how small it is and has it anything to do with Plank Length or Plank Radius?

[@spencerbrown3875]

What would happen if Pinocchio said, “My nose will grow now,”

[@alekz112]

Holy shit.

[@IsaacPiera]

It will actually grow. The rule is that when he lies the nose grows, but this doesn't mean that it cannot grow when he tells the truth. Remember that a implies b doesn't mean that no(a) implies not(b)

[@69erthx1138]

T or F: Pinocchio wanted to be a real boy with wood or a woiden boy with real wood?

[@BlackZar84]

@@69erthx1138 LOOOOOOOOOOOOOOOOOOOOOOOOOOOL

[@realfrankandrade]

Pinocchio is a thug! Going to Pleasure Island. My 6 year old loves the cartoon

[@itssamruddhi5664]

Taehyung's singularity bought me here.... Just difference is that this is easy to understand than him

[@yveltal3605]

I knew that it ain't possible that no one talks about Tae in this comment section Lol

[@parrappio3430]

Damn me too

[@gargithakur7885]

Sooo true

[@ipsitaray5251]

Oh girl you caught me

[@hetalrana3543]

@@yveltal3605 Same here!!😅

[@Socratica]

Really enjoyed this video, Jade! Your drawings are so charming - they always make us smile even when contemplating the end of human existence "as we know it!"

[@upandatom]

You guys are the best :)

[@soulmechanics7946]

Stop doing that please. Don't make me ask in person.

[@cledwynfernandes4235]

Can u explain me why she use the statement "as we know it" at the end please

[@moses777exodus]

The concept of "Nothing" represented by the number "0" (zero) did not exist in the beginning. The number "0" (zero) is a relatively recent human innovation in mathematics. But, there has always been "1" (one). The fact that one (1) exists and can generate the position/concept of "nothing" (0) shows that there first exists one (1). Thus, nothing (0) does not truly exist alone: One (1) must first exist that can generate the position/concept of nothing (0). Mathematically, Absolute nothing "could be" expressed as 0 to the power of 0, which can equal 1. "Nothing" IS "Something"; because, it comes from "Something". Moreover, since Nothing (perceived) is not Nothing (actual), then it is possible for Something to come from Nothing (actual). Because, Something (1) is inherently pre-existing within Nothing (actual), hence, 0 to the power of 0 can equal 1. Simply put, Something (1) exists before Nothing (0) can exist. In the beginning, there was Singularity (1).

[@garryvaughn3856]

Absolute domination of the masses and nothing is going to be private,

[@JoergWessels]

6:08 The king was lucky his opponent thought of a rather unusual chessboard consisting of only 25 squares.

[@JoergWessels]

6:21 Then he fucked up by filling a chessboard consisting of 90 squares.

[@fabio-maciel]

The way Jade explains complex things is amazing. This channel is precious.

[@asiancollegeofteachers5870]

"This statement is false." If it is false, then it is true and if it is true then it is false. You are referring to Godel's incompleteness theorem and Russel Paradox, isn't it?

[@sionmarak1916]

I knew someone would get it.

[@Jer_Schmidt]

Great explanation!

[@sumitkc7069]

Just nailed it ! Considering overall presentation,the acts and clarity in content , when I imagine anything better than this I get into Singularity. The sentence near end of video,"This sentence is false." is a simple correct sentence, so its true that it is a sentence but says itself a false ,this means it has to be false in first place .So what sense of true or false can we make out of this sentence.Thus, this situation is an instance of singularity.

[@upandatom]

this was such a nice comment thank you n_n

[@tribalmoongoddess]

It's circular being both false, and not false at the same time. And thank you for your palatable, upbeat and charming explanation of a normally confusing concept :)

[@Roa0106]

What's Singularity? Me: a song by Kim Taehyung, actually a masterpiece.

[@simransen7174]

Mee too 💜💜🤣🤣I purple you 💜

[@linhoseok3780]

That's what i thought🤣💜borahae

[@Kevin-cy2dr]

Lame dude, BTS fans just wanna crap over everything.

[@bby6421]

@@Kevin-cy2dr uh-

[@yveltal3605]

I knew that it ain't possible that no one talks about Tae in this comment section Lol

[@uvbe]

I love your videos, they have a lot of personality! btw, it was hilarious how you adjusted your glasses every time you wrote something in the blackboard xD

[@upandatom]

Hey thank you! And yeah I'm not sure why I did that it seemed like a good idea lol xD

[@promerops]

@@upandatom Surely, it's a parody of the all too common school teacher? Chuck Berry wrote and sang it: "The teacher don't know how mean she looks". John Lennon also told us: "I used to get mad at my school (though I can't complain), the teachers who taught me were ghouls". Now I'm really going to show my lack of understanding - I always thought that the singularity in a black hole is a dimensionless point...

[@apngeram]

I just discovered your channel, and I can't tell you how much I love your videos! Amazing job at explaining these complex concepts. Thank you!

[@berniv7375]

Thank you for the video.🌱

[@ravneetkaur5354]

Singularity is dangerous I'm mean look at The Kim Taehyung 💜

[@yveltal3605]

I knew that it ain't possible that no one talks about Tae in this comment section I actually came to see that only Lol

[@ravneetkaur5354]

@@yveltal3605 mai Hu ofc😉😅

[@jambea99]

Love the content. I never studied much in physics or higher math. I took basic physics in my associates degree. But lately, I have been interested in quantum physics and quantum theory in general now, thanks to some of your videos. Thanks and good work.

[@JohnMichaelGodier]

Great channel! Subscribed.

[@upandatom]

right back atcha ;)

[@KlaasDeforche]

Hi JMG! 😁

[@ulrichsrensen8520]

John Michael Godier Hey it’s that sci fi guy from another channel.

[@eduardolima5495]

I discovered your channel through Diana’s channel. I’m amazed by your content, you are so charismatic!!! Keep up with the good job!!!

[@LearningCurveScience]

Excellent video, I wasn't expecting this, but the way you went round all the definitions of singularity was really interesting. I really like y=1/x (geeky yes I know). It produces (if rotated around the x axis) a solid with a finite volume but an infinite surface area.

[@jazee458]

Great explanation! I wish instructors/teachers were as fun as you were when I was on my grade school/hs days

[@faisalayub3307]

Thanks very much Jade,you explained this concept in a very simple way.well done.

[@i_am_everywhere_u_go1139]

Watching this after seeing taehyung singularity mv 😆😆

[@eimanyounis762]

😂❤️

[@urspufos]

Omg lol 🤣😂

[@kimbim001]

omg same !!!!!!

[@rashmidange5000]

Same

[@lovdiary]

Me too!

[@voidnull7329]

you are just awesome and underrated. great film making skill, animations ,the Explanation(i mean the screenplay is soo good and easily understandable) all the best for your KZbin Journey

[@ChaiyaphumIsan]

Excellent educational channel on KZbin! Keep it up Jade! Regards from a Computer Science and math teacher ! :-)

[@sciencealexisro1208]

You make awensome videos. Keep it up! :)

[@TheKyo243]

You're a great scientific shower, thank you so much for your videos. You make physic look more easy hahaha :) Keeping making this great work.

[@unknowngba]

This was my first video watch of yours and I totally fell in love with your content!!! And I also remember Sabine Hossenfelder once replied to your comment on her channel.

[@NovaM87]

Love your video. Well done!

[@SophsNotes]

Pacey and funny and hella smart. Smashed it.

[@upandatom]

n_n

[@hollosou335]

"This sentence is false" is true. Therefore, this sentence is true. But it says that it is false. So sentence=false&true. So the value of the sentence is 0 and 1 at the same time, but maybe... the value can't be determined from our human perspective. Therefore, it could be a Schröndinger's cat scenario.

[@brainmagic8816]

Hehehe or it's just English! 🙃 But for reals, totally enjoyed this translation into written terms.

[@thelegassin5182]

It's in a Superposition!!!

[@francescosorce5189]

The sentence is neither, a sentence i neither true or false, a statement is either true or false. when we hear "this sentence is false" we understand "this statement is false" which is wrong, it's not a statement, it's like saying " 53f6egu7h785758bB(*^NTN*^ " is a word... it just isn't. So if you think it's a sentence it's neither true or false, it's like trying to understand if "tree" is true or false... it doesn't make sense. If you think it's a statement, you're now just plain wrong because the definition of a mathematical statement is "A proposition we know *for sure* is *either* true or false" and... well we know for sure it's neither true nor false, therefore it's not a statement.

[@christopheraplin]

​@@francescosorce5189 Why isn't "53f6egu7h785758bB(*^NTN*^" a word? I mean, it's a single distinct meaningful element, used with others to form a sentence. Seems like a word to me.

[@francescosorce5189]

@@christopheraplin yeah looking back I could've made a better example, what I meant for *gibberish* isn't a word is "it isn't recognized as one" however the "give it a value" trick doesn't work with "this statement is false"... because it results in a paradox, and since it does it isn't a statement by the fact that you can't determine it's value.

[@DanielDiCapriodj]

I'm a new fan, looking forward to more of your videos. Great job making complex subjects simple and fun 👌

[@Doctor_Drew]

You're literally so awesome this channel is amazing

[@jeanzaparolli7880]

Absolutely that was one of the best science videos I've ever seen. Congrats (y)

[@engineer4269]

Damn! I must say that the connection you demosntrated between the two couldn't have been done so in any better way! Loved it. Consider me as your new subscriber. Hoping to see more amazing content!

[@upandatom]

n_n

[@Anandkshivanna]

Amazing !! Good explanation with simple examples

[@Lucky10279]

Something being "undefined" in math does _not_ mean "we don't know the answer" it means that there _isn't_ an answer _in the set we're working in._ For exactly, we can say that √(-1) is undefined over the set of real numbers because there is no real number that has the property that squaring it gives negative 1. However, if we instead work over the set of complex numbers, √(-1) is perfectly well defined and is usually denoted by "i." We say "defined" for a reason -- because we literally just defined a new mathematical object into existence. "i" is _defined_ as being √(-1), or, in other words, the number that, when squared, gives -1. Similarly, over the natural numbers, 0-5 is undefined, because the result isn't a natural number, but an integer. Yet, it's perfectly well defined over the integers or any superset of them. Additionally, √(2) is undefined over the rational numbers, but perfectly well defined over the reals. The reason that students don't usually hear the term "undefined" come up until someone asks about division by zero is that just extending the number is fairly easy and obviously useful when going from the naturals to the integers, then to the rationals, and then the reals and even the complex numbers have a lot of applications. It's not actually very difficult to do this to allow division by zero -- we basically just add infinity to the real numbers and specify a few simple axioms. That's called the extended real number line. -- it's just that it's not that very _useful_ to do so. It's more useful to add positive and negative infinity to the set of complex numbers -- that gives a number system referred to as the Reimann sphere (because, viewing it geometrically, it's a sphere), but this isn't someone that would be taught to students in pre algebra or algebra 1, which is usually when students are told that division by zero is undefined.

[@theexelentshow7424]

I had a gravitational singularity once. Cloaked in the event horizon I was becoming light. The sentence singularity you made was fantastic. Thanks for your help understanding what happened to me the day I entered The Horizon State.

[@bilalbhatti9898]

Great job teaming up with Physics Girl. You have a unique sense of style with simple drawings to help me understand some cool topics. Now to your sentence: does this mean that all singularities are paradoxical or exist outside of logic? Because what is infinite gravity? We can't reach infinity...*sighs* why you do this to me sicence..

[@BruceReynolds7250]

Love your videos; they are very engaging.

[@nicholascourier1552]

You are really good at this. Thank you!

[@RoshnaOmer94]

your way of explaining is amazing, thanks for such an informative video!

[@upandatom]

No worries thank you for watching! I hope you learned something :)

[@RoshnaOmer94]

I did! I'm planning/hoping to study for a master's degree in Machine Learning next school year, and I must say I enjoy you recent videos regarding algorithms and computers in general... well done!

[@upandatom]

Thank you and good luck with your degree! I think that's an excellent choice :)

[@yashkumarsinghal]

Thus episode was extremely mind boggling!

[@sherlyc1978]

Great video! Loved it😍

[@SaurabhDasgupta]

Great video! Loved the way you made learning fun.

[@fuseteam]

i'm more familiar with it as "what i'm about to say is true, what i just said is a lie"

[@AFastidiousCuber]

I enjoyed the video, but @2:12 you say that mathematicians don't know what 1/0 is, but I don't really think this is the case. Mathematicians just choose not to define 1/0 because attempts to define it can lead to inconsistent results. We created division to begin with, it's not like we discovered division out in nature somewhere and we're trying to understand it better.

[@dvsrao1]

Exactly

[@jorgepeterbarton]

Well it doesnt seem logical to ask how many zeros are in 1. 0+0+0+0.... Will never budge from zero, so how can it be defined, there must be a proof in there, as even with infinite zeros you do not get any closer to 1. In essence it doesnt really make sense as a question. And also limits dont necessarily explain the real question. I would say that that because limits always are 'approaching' what we really want is an infinitessimal. Not zero, to output infinity. If you reverse the equation you would find a reciprocal of infinity is an infinitessimal.

[@dylankachaka]

This is a great channel it encourages me so much. Très bien !

[@aarushkumar168]

I just love your videos!

[@talksisters]

BTS Singularity music video brought me here

[@Ms.Sunniside]

Lol me to💜

[@mansibhatt3077]

me too.

[@indeeditisiventifartsinyou8339]

Me toooo 😂❤❤❤ hello fellow armys

[@yoongiworld6162]

two years later-me too

[@gladysreinoso5552]

@@yoongiworld6162 same here

[@hoodwinkedagain]

I've been wondering why these two things were called a "singularity" for a while now. Thanks for sharing. You are an incredible presenter!

[@upandatom]

aww thank you so much :)

[@brauliobhavamitra1730]

You're a genius! This video also reminds me of the Torus as a model to black/white holes

[@rishengopaldass1103]

Hi Jade. Thanks for the video. Would it be possible for you to do a video showing any relationships between computing and geometry? Thank you!

[@harshalshahu918]

"There were six singularities before the formation of universe" Can you please explain this sentence from Gaurdians of the Galaxy

[@nebuchadne33ar]

AnswerswithJoe was right. Your videos are great. #notificationsquad

[@upandatom]

thank you and welcome!

[@elemagasenov9447]

Perfect video. Well done!

[@kurtgodel9726]

OMG, I recently stumbled onto your videos and ever since I've been watching your stuff and YOU're amazing, seriously!!! I've never seen Shannon info/entropy explained so clearly, which we both know is extremely counter-intuitive, ironically so in this age of "information!?" I just had to hit you up an tell you that you're my fav youtube star, watching it right now on the TV, this episode in fact, once you show interest in the most intelligent person to ever live, or in my opinion of it, Mr. von Neumann, I have all his books, and his intellect BLOW me total away, I'm smart, he's like me time Grahams number! :D Great eye BTW, keep making these, i think I got a great one for you to explain esp given Bitcoin and such, have you ever heard of the Kelly Criterion, it extrapolated Shannon idea of Info Entropy into betting/money management. The original paper is called: A New Interpretation of Information Rate by John Kelly, Here ya go, just in case, you're so intelligent, I can't imagine you not having heard of it and I'd love to see it explained, because if anyone can do what you did for Shannon Entropy, you got this! ;)

[@kurtgodel9726]

Wouldn't let me add Kelly's paper, its free everywhere in pdf format, have a great day Jade, love the name btw!

[@willemvandebeek]

I have a hard time accepting infinities in physics... in math it is fine (it is the opposite of zero), but in the real world I am not so sure. Black holes are in my opinion still stars whose Schwarzschild radius outgrew its physical radius, so black holes don't have infinite density after all; they're just denser neutron stars. Moore's law won't work in the future, because we cannot go smaller than atoms, so we cannot have an infinite amount of transistors in a tiny specified area. Same way goes for AI, we have been overestimating robotics and underestimating the biochemistry of our own brains for decades now. We still don't have a robot butler that can fetch a proper hot cup of coffee, which old sci-fi movies had us believe we would have by now at this age. Math is great, but if they start drawing the graph to infinity, it shouldn't be applied to the real world in my honest opinion; the real world has barriers and limits. :-/

[@vladdrakuul]

the problem with saying just denser than neutron stars is that in a neutron star the density is maximal as all quantum positions are occupied thus in order to increase the density we have to overcome forces (like the strong force) that is crazy yet they happen in the case of overcoming all the fundamental forces by the simple effect of gravity the density of the material is infinite as there is nothing keeping it apart (to our knowledge) this is why we treat it a singularity. The part about Moore's law is also interesting as t has already been falsified (we are not following it even on the current technological level) but the price of each transistor is decreasing and the overall computational power is increasing exponentially and we are approaching the computational capacity of a roach brain but in 10 years that can be the power of a human brain, and then what is next. we are overestimating the speed but not the direction. there is nothing stopping us from increasing the connected computational power of the machines we use even if not by the computation of a single chip but a mountain of chips working together the end result is the same once the machine intelligence working on improving itself jumps above the capacity of the human brain we are no longer in control thus the singularity is inevitable.

[@vishnunarang]

"We still don't have a robot butler that can fetch a proper hot cup of coffee, which old sci-fi movies had us believe we would have by now at this age." - True. But we have a robot dog who can open a door handle and get out. (BostonDynamics). We have a computer that can use neural networks and all the learning it can do to beat the best chess player on the planet and the best GO player on the planet. Most of the things from the old Sci-Fi movies are indeed becoming reality as technology progresses. We're not there yet with the Butler maybe but somewhere in some lab, that research is happening and is not far from real world application. I took AI course at ASU recently and saw some of the work in progress in AI and Robotics :)

[@pomtubes1205]

Willem van de Beek Well, why should reality NOT contain infinities? To me, that makes much less sense.

[@willemvandebeek]

Lemuel Ogabang; because things get ridiculous, when something contains infinities. Have you heard of Hilbert's paradox? It is about a hotel with infinite rooms, which are all full. A new guest arrives and asks for a room and the hotel owner asks all the occupants to move one room over to make a room available for the new guest, which is possible because there are infinite rooms even if they are all full. If the universe is infinite, then there is a planet out there, which is Mario World... I find that very VERY hard to accept, therefore I will always assume the universe is finite, because with infinities anything you can imagine is possible otherwise.

[@pomtubes1205]

Willem van de Beek You know what? You do you. Just remember that it's just an assumption about the universe, which could either be true, false, both, neither, or all of the above.

[@prasoonpandey1184]

Black holes are where God divided by zero 😂😂😂👍👍

[@Imru_gamer]

Steven Wright is bloody genius and in comedy too.

[@sleaziep]

@@Imru_gamer His friends call him Steve.

[@thewhizkid3937]

//but you can't divide by 0

[@Krututu13]

Singularity is the source where God is. And God is 1. And from this 1 came the universe. This means that everyone are in reality 1. You are from the singularity experiencing itself. Don't fight or hate others or you'll be fighting and hating yourself.

[@singhanmolpreet5935]

@@Krututu13 but how do you know this. Any evidence for your claims? Please do not cite religious texts as facts.

[@garycarlisle7810]

Dear Up and atom. Would you do a video on how the law of diminishing returns relates to the law of accelerating returns. And just the other day I was wondering about the law of unintended consequences.

[@akashprasad9028]

Thank u for the video ..so much informative in a interesting way...

[@SusmitaBarua_mita]

Thank you Jade for giving me a lot of clarity on Singularity! Same terms can mean different things in different context. There is also the ancient idea of spiritual enlightenment as singularity.

[@dangiscongrataway2365]

lol love the cheezy acting

[@upandatom]

n_n I'm trying to get better!

[@nolanjshettle]

you'll get better. Just watch your videos and keep in mind what you'd like to improve and it'll happen as you make more

[@pswadedgafboi7813]

Hi Jade! I’m a 25 year old man who’s been for a long time unsure of his life’s ambitions arising from lifelong depression with many poor choices resulting in the way, and such a pretty smart funny physicist as yourself makes me want to follow my ambition and go back to school to work in researching&developing new theoretical understands of reality and find meaning in this world all the more, which has always seems so lacking. Ive always believed if you can find out how the universe around you works you can figure why it does too. And your name is Jade and mine is Wade so I thought that was delightful as well lol. Keep up the wonderful videos the world desperately needs more beautiful female minds such as yours ❤️🌏✨ so in hopes of groundbreaking discoveries and a better life ahead of me I should only have three words in the back of my head I suppose...... “Up and Atom” 😄

[@ericlondon5731]

I wish you had been one of my math teachers, back in the day. Passion for knowledge is most of the 'skill' of teaching any subject. I admire you.

[@madi4718]

This popped when I searched up Singularity by BTS, I- I think I've become the smartest student in my school. :')

[@yveltal3605]

I knew that it ain't possible that no one talks about Tae in this comment section I actually came to see that only Lol

[@aeoult]

It's a small answer, but it makes a profound experience on us as we start to think of what it truly means and I know this because of what I just wrote in the comments, and as always thanks for watching - vsauce

[@kirankankipati-thelinuxcha689]

Glad I have come across this video. That is thought provoking. Thanks for the effort !

[@Qrexx1]

This bugged my mind for a while now and I found the answer in a 4 years old video. I'm subscribed just for a few weeks but I will watch an Uo and Atom video daily from now. They are so informative!

[@vineetr6381]

Liked the Indian touch!

[@monishnasa9880]

ur freaking amazing, beautiful, smart af and ...to a point where ur talents are a singularity (kinda) for me ^_^

[@girirajroy7902]

Ur explanations are real hardwork 🤠 Love to watch🤓 One word for u AWESOME👩‍🏫

[@iwanabana]

Charming and captivating as usual! Thanks Jade for introducing me to this von Neumann fellow!

[@leidenfrost3821]

Hmmm, an addendum would be to state that Moore's law is no longer accurate and is slowing down. Apart from that, comprehensive video.

[@upandatom]

Thank you :)

[@AntonLindgren]

I consultet Javascript and it said "This sentence is false" is in fact true. Well... truthy anyway

[@armytrooper9876]

I enjoyed the way you explained this out! Very sharp...Jade is absolutely stunning with intelligence and beauty. Thx for sharing!

[@sanjeevraila5161]

u gotta new subscriber ..congrates ...loved your channel.

[@Psiberzerker]

Steven Wright is awesome. "You can't have everything, where would you put it?"

[@debbiebealmear2058]

Is anyone else here because they watched the bts Tae song "Singularity" and wanted to know what it meant? 😂💜💜💜

[@neelibtsarmy7319]

Mee lol 😂😂

[@rj_nunez03]

Yess 😂

[@mikro171]

Awesome! Thank you so much!!!

[@adampfaff1840]

This is so now my fav KZbin channel! I cannot do maths to save my life lol but I sure love to study/learn about this type of stuff. And a HUGE paradox fanatic ^_^

[@kibavlood5826]

I came from 12tones and i just discovered an interest for science i never had...its BRUTAL AF and not to mention METAL \M/ Thank you for your content and keep em coming :D

[@upandatom]

hey welcome! and welcome to science too haha, it's a great place :)

[@Jopie65]

"This sentence is false" That statement is in a superposition of true and false. OMG you just invented a linguistic quantum computer!!

[@nishant1004]

I always lie.

[@ioannisk.7637]

@@nishant1004 No you dont, you tell the truth sometimes and sometimes you lie, like here. So its no paradoxon

[@nishant1004]

@@ioannisk.7637 So, what do you think in above case? Am I lying or speaking truth about myself in the above statement.

[@ioannisk.7637]

@@nishant1004 As I said, if its true, that you always lie, you would tell the truth, that you always lie, but that would be paradox. But it makes sense, when its false, that you always lie: because that doesnt mean that you always tell the truth, but sometimes you tell the truth and sometimes you lie as now. So its defined.

[@ioannisk.7637]

@@nishant1004 in other words, lets suppose you sometimes tell the truth and sometimes you lie. By saying that you always lie, ok, makes no sense if its true, but there are no logic problems if its a lie

[@fiopio5289]

Subscribed! Thank you for making me less dumb!

[@romelgopio913]

Thank you for this video, learn a lot💕

[@artistry72]

I find you one of the best female person in terms of explaining scientific terms ❤️ Love Jade keep up and atom more upwards sharing new videos

[@feynstein1004]

Damn those cute animations. Oh and someone's probably going to make a drinking game out of the teacher touching her glasses :P Anyway, great video as always. This is my first time hearing about the law of accelerating returns. I was aware of only the law of diminishing returns from economics. Exponential growth isn't sustainable in the real world though. Btw I learned about the liar's paradox when I was in high school. So I'm not gonna spoil it for the other commenters ;)

[@upandatom]

haha yeah I'm not sure why I did the glasses thing. It seemed like a good idea at the time... And thank you, how gracious of you to think of the other commenters :)

[@AstroRamiEmad]

I'm loving this new format! Way to go girl!

[@timboadventures]

Love the channel, thankyou Tom Scott for introducing me here.

[@leidenfrost3821]

“This sentence is false” is a singularity because as you examine it it becomes true and false at the same time. At first it's false because it states so. But in doing that it becomes true which in turn means that it is not accurate anymore because it states being false. This follows ad infinitum. It's truth-value thus becomes undefined.

[@tylersellman9254]

Leidenfrost ̛ implying that: IF proposition "p" is False (this sentence is false), THEN c (logical contradiction), such that: p(F) ==> c : then by definition of contradiction: p(F) p(T) : then by definition of thesis: (p(F) ==> p(T)) is True, by definition of implication Which means that "this sentence is false" is always true, either because it's truth value is True, (it's semantic meaning is not it's logical meaning, and as such they do not affect eachother), or because it is initially false, and the semantic and logical meanings create a logical contradiction that violates the law of identity p p, such that ad absurdum causes it to prove itself true, through evaluation of the truth table of p(F) ==> p(T)...

[@bitcoinisrael1000]

Downvoted for the ridiculous statement "Mathematicians don't know. They couldn't come up with a good answer". I wish people stopped spreading this nonsense. First, the word "undefined" isn't nearly as mysterious as you make it out to be. It literally means "not defined", that's all. What is the circumference of 7? It's undefined, "circumference" is defined for geometric shapes, not for numbers. What is the derivative of the set of natural numbers? It's undefined, "derivative" is defined for functions, not for sets of integers. What is 1/0? It's undefined, division is defined for pairs of real numbers where the 2nd one is nonzero. For real numbers a and b!=0, a/b is defined as the unique real number c such that b*c=a. If b=0 then such a number c either does not exist or is not unique, thus you cannot define it this way. Here we have a complication caused by the fact that in mathematics, we often use the same name to call different things. While ordinary division of real numbers is not defined for a 0 denominator, there are other structures with other definitions for division, such as the real projective line or the Riemann sphere - there, 1/0 is equal to unsigned infinity; it's quite elegant, but we give up a lot of what makes division what it is. That in itself is a *great* answer that mathematicians came up with to what 1/0 is - based on actual understanding of the underlying concepts and the limits of their applicability. With that out of the way, in calculus/analysis we're often very interested not at what happens *at* a point, but near it. We don't need to define 1/0 in order to investigate the behavior of the function 1/x near x=0. That's where the concept of singularities comes in. There are different things in mathematics referred to as "singular", but the most important one is the concept of singularities in complex analysis, where it's both fundamental and well understood. There are different kinds of singularities such as removable singularities, poles (such as 1/z at z=0), essential singularities (such as exp(1/z) at z=0), branch points (such as sqrt(z) at z=0) and so on. Mathematics has come a long way since ancient times. While open problems remain, there are some fundamental concepts that are now fully understood by any mathematician worth his salt. Singularities of a simple meromorphic function like 1/z belong firmly in the second category. I believe the term "singularity" for both black holes and technological progress are based on the mathematical term. In black holes it refers to a point of mass discontinuity, and in technology it refers to hyperbolic, superexponential growth diverging to infinity, much like the growth of a function as we approach its pole.

[@zokalyx]

lol don't get triggered for such a little detail

[@MuhammadArshad2i1]

It's not really a little detail. The entire video is built upon it

[@GenvisMuca]

Couldn't finish reading that shit since i can't even multiply 2 x 2 😂😂 Well played tho i'm out

[@Grufidie]

I wouldn't call that a little detail when it's the entire argument.

[@Leprutz]

"They couldn't come up with a good answer" equals "They don't know" Because for now. they don't. What is so wrong about that? Or do you believe that have it all figured it out already?

[@NoNamedOne]

excellent video and very clear explanation of singularity

[@zainb2261]

Thanks for this explanation

[@gametoppler]

I want to marry you. ^_^

[@joshuarosen6242]

Too late. A Frenchman beat you to it.

[@mzhenf]

Dude, concentrate on the science.

[@abhix8164]

Very well explained ❤️

[@tigggggestbittttties42069]

This video perfectly answered my question, the example you used at the beginning was legit my thought process immediately before searching “what is a singularity” lmao thanks!