#science #physics #ideas The Biggest Ideas in the Universe | 2. Change

#science #physics #ideas The Biggest Ideas in the Universe | 2. Change 173,832 viewsMar 31, 2020 4.2K DISLIKE SHARE DOWNLOAD CLIP SAVE Sean Carroll 154K subscribers The Biggest Ideas in the Universe is a series of videos where I talk informally about some of the fundamental concepts that help us understand our natural world. Exceedingly casual, not overly polished, and meant for absolutely everybody. This is Idea #2, "Change." Which is a less-threatening way of saying "Calculus," which is the mathematics of continuous change. My web page: http://www.preposterousuniverse.com/ My YouTube channel: https://www.youtube.com/c/seancarroll Mindscape podcast: http://www.preposterousuniverse.com/p... The Biggest Ideas playlist: https://www.youtube.com/watch?v=HI09k... Blog posts for the series: http://www.preposterousuniverse.com/b... Background image: https://wallpapersafari.com/w/fSr7BN #science #physics #ideas #universe #learning #cosmology #philosophy #math 442 Comments rongmaw lin Add a comment... Martin Wilson Martin Wilson 2 years ago Great. Carroll is entering his Feynman lectures stage of his career where he helps us all understand what is going on, but during his lunch break. Thanks Sean. 320 Tyler Edwards Tyler Edwards 2 years ago I feel so privileged to sit in and be a digital student of yours. Thank you so much for these Mr Carroll. 188 David Hourigan David Hourigan 2 years ago I hope I'm not the only one, but I really look forward to these video releases given the situation going on around me. Thank you so much Sean for sharing your knowledge, especially during this time. Keep up the great work!!! 111 Randy Tighe Randy Tighe 2 years ago Hi Sean, Love that you're sharing your knowledge with those of us who are fascinated with physics but may not have the depth of mathematical knowledge required for the full mathematical treatment of the subject. At the same time you're giving us a glimpse of the math and inspiring us to delve further. You seem to truly respect your audience here. Thanks for doing this. 24 shaun shaun 2 years ago sean is so good at explaining this stuff! Considering how advanced his work and teaching is sean takes the same time and effort for all levels of learning. big fan 17 Alexi Liera Alexi Liera 1 year ago I am so grateful that you have taken the time to make these videos (and so many others). You really have changed my life and made physics accessible to me in a way that no one else has. My apparent inability to comprehend the physical world has always haunted me and I can't put into words how good it feels to finally overcome that! This affects me not only on a personal level but a professional one too: I am researching molecular pathology, and learning physical theory helps me to think in a far more logical manner than I did before! Thank you so much - you're an incredible teacher. 10 Kami Shinigami Kami Shinigami 2 years ago "figure-outable" is definitely my word of the day :) Thanks for the light-heartedness of conveying these ideas 5 Amr Abdellatif Amr Abdellatif 2 years ago Thank you so much for this series! I love the mix between physics & philosophy! 9 Dean Sundquist Dean Sundquist 2 years ago Titling this ‘Change’ is a smart move by a brilliant professor to drop the c word two minutes in. Loving the videos! 19 KingZarathus KingZarathus 2 years ago Such a brilliant description of the concepts behind calculus! I also love the dichotomy of an amazing science educator and physicist showing off their cat and apologizing if they destroy the green screen in the middle of the lecture. 4 Paulina Gently Paulina Gently 2 years ago (edited) Thank you for reminding me why I fell in love with Physics!!! BTW, our Mathematical Analysis professor told us that before he understood Integration, he'd done over 500 integrals, using all the methods he shared with us. I wasn't as bright, it must have been at least a thousand examples. Good times :) 2 Nartana Premachandra Nartana Premachandra 2 years ago Thank you for these lectures Sean. I’m really enjoying them. And the podcast. 1 Canopus Canopus 1 year ago Thank you Sean! You are one of the coolest professors I have ever seen. You explain the stuffs of physics very innocently. Thank you again! 1 Sebastian Wierzba Sebastian Wierzba 2 years ago Love the series Sean, you are a wonderfull friend the internet gave me. Thank you. 2 Nikolaki A Nikolaki A 2 years ago Great stuff! My mind boggles at the power of human thought. Also, amazingly, Archimedes came up with his own version of integral calculus. Dash Dash 1 year ago I think one of my favorite things about your lectures are how you can insert your (very dry) humor without it distracting from the material. Really appreciate you doing these lectures! 2 A Kumar A Kumar 2 years ago I really enjoy your presentation style, thank you for your briiliant videos. 2 Integza Integza 2 years ago I just love these videos! Finally an interesting podcast :D 1 pipertripp pipertripp 2 years ago Thanks for these. I'm teaching myself Mechanics with the MIT Opencourseware and it's fun to watch these as a way to sort of check my understanding. Alexander Pavlovsky Alexander Pavlovsky 1 year ago Thank you Sean for this series. I love your lectures. I haven't touched a physics textbook in 30 years but this is absolutely mesmerizing to me. 1 miguel rodriguez miguel rodriguez 2 years ago great simple explanation, problably if I'd been taught this way calculus, I would have not suffer so much 3 Danielle Maia Danielle Maia 2 years ago Thanks for these great videos - and thanks for making them free on TouTube! I am enjoying indulging my childhood fantasy of becoming an astrophysicist. During this time of stress and change it is wonderful to take the perspective of the universe for a little while and to take my mind off of the uncertainty by challenging my brain to learn new things. Pieter Steenekamp Pieter Steenekamp 2 years ago Thanks for this great series, I really enjoy it. A question, but first some background: I just finished reading a great book by John and Mary Gribbin "Out of the shadow of a giant". In this book the argument is made that Newton's first law and inverse square law of gravity was actually not Newton's ideas but Robert Hooke's. (John Gribbin has written a couple of popular books on quantum mechanics, maybe you know of him?) My question is: do you agree with John and Mary Gribbin that a significant portion of the work attributed to Newton was actually Robert Hooke's ideas? Gilda Stigliano Gilda Stigliano 2 years ago I love these podcasts; maybe I will finally "get' math...such a good visual teacher for a visual learner! thank you , Sean Carroll!!! very much Tom Semo Tom Semo 2 years ago Absolutely brilliant.. With my teenagers home, mandatory video. And thay love it. much discussion after. Good stuff. 12 George Mccaffery George Mccaffery 2 years ago I'm loving these Biggest Idea videos! Thanks Sean! Rob Cantu Rob Cantu 1 year ago I’m truly appreciative of the knowledge you are sharing. I enjoy your videos and talks and always come away more enlightened. These big idea videos are wonderful. This is my second time around watching this series. Thanks for all you do to inform average curious people like me. Arnold Leaf Arnold Leaf 2 years ago Great stuff , thanks Professor . Between u, Professor Green n all the other great scientists producing these great videos , it really helps make this tragedy a little less traumatic. Understanding the world at this time is confusing to say the least ! N getting a chance to learn from such high level teachers on a regular basis really takes the edge off ! iamtheiconoclast3 iamtheiconoclast3 1 year ago This is brilliant! Just discovered it and already recommended to a friend. 1 Sully Sullivan Sully Sullivan 2 years ago Thanks for doing these Sean. I have an engineering background so I learned a lot of this stuff in my undergrad, but I really enjoy hearing your commentary as you're building up the basics. I'm not sure if you ever do interviews with YouTubers, but there's an atheist YouTuber I enjoy named TJump who does philosophical debates with theists. he references your work on emergent spacetime models and he definitely shares a lot of your views. I would love to hear the two of you chat if you ever get the opportunity. thanks again! John Nicholson John Nicholson 1 year ago My new favorite physics teacher, I will watch the whole series playlist. He says he is not going to get into much detail, but he ends up teaching you a metric ton of interesting detail. You should watch in order if you have the time because he refers to previous lectures often. Chris Hogan Chris Hogan 2 years ago I love these videos. Thank you for making them. 1 Chris Stockdill Chris Stockdill 1 month ago My favorite teacher ever, mysteriously, you make me feel safe to learn, safe to feel emotionally moved by the beauty of Calculus and my growing feeling that the Cosmos embraces my humanity while I embrace it. Thank you. Live Long. Prosper . . . . Howard Maxwell Howard Maxwell 2 years ago This made me feel a lot smarter than I actually am. 7 Christopher Liggett Christopher Liggett 1 year ago I actually remembered (from 46 years ago when I last had a math class) that phrase "the area under the curve" - but I thought it described the derivative, not the integral. Anyway, thanks Dr. Carroll. Brilliant! carlosoliva2007 carlosoliva2007 2 years ago this is quickly becoming my new favorite youtube series 1 ballistichydrant ballistichydrant 2 years ago Thanks for this. Really enjoyed your most recent book. Thanks for that too🌞 Best wishes 1 beau ransome beau ransome 2 years ago Free lectures from the Caroll himself?? Yes pleass 93 C.J. McELEAVY C.J. McELEAVY 2 years ago Just what I needed! Thank you Sean. Squatchy McSquatchsquatch Squatchy McSquatchsquatch 2 years ago I love your use of the term, "figure-outtable." Definitely why you're one of my faves JR 711 JR 711 2 years ago Love the cat. Thank you for showing us Caliban. Reviewing the greatest physics discoveries of the human is great too. 1 J A J A 1 year ago This series is great, enjoying it very much! Also, in the world of youtube, cats are a feature, not a flaw! 1 Allan Zed Allan Zed 2 years ago When I studied calculus I also wondered why integration was so much more difficult than derivation and the answer that I got satisfied me then and still does. When one is working from observation or data points that are plotted on a graph the function is very often not known. In other words we are looking for a formula that might not yet exist and hence the difficulty. Sorry if I've repeated something somebody else has already said. 2 ##### Smith ##### Smith 1 year ago The sound of Sean Carroll's writing and the way it appears on the screen is really nice. 1 Timothy Keech Timothy Keech 1 year ago I have watched many videos on Physics by eminent scientists and they are fascinating. (I used to teach the subject in High School) but Sean has such an engaging and fluent style of delivery. He is an extraordinarily good communicator and probably doesn't even realise it himself. Thank you Sean for sharing your knowledge and enthusiasm in such an entertaining way. Scott H Scott H 2 years ago very interesting to me today with numbers. love learning this stuff. Amedeo Filippi Amedeo Filippi 1 year ago Outstanding lesson indeed. Yordan G Yordan G 2 years ago 30 y. ago i studied calculus .Now it just melted my mind. Nevertheless great way to present the obvious. Thank's Bernard McGarvey Bernard McGarvey 1 year ago Always thought it was interesting that analytical integration is more difficult in general than analytical differentiation as you pointed out but numerical integration is easier than numerical differentiation. Jose Rios Jose Rios 1 year ago Sean, I love your videos... could you please explain from where does the energy from the vacuum comes from? Sean Carroll Sean Carroll 2 years ago (edited) Questions [based on the video] left here over the next day or two will have a chance of being addressed in an upcoming Q&A video! 56 Krypto Knite Krypto Knite 2 years ago This new series is your best yet. Thanks! Dennis Donovan Dennis Donovan 2 years ago Kudos Sean … This is truly an engaging series you’ve begun … I really appreciate the format (note: I would like to have you speak to the graphic you’re sitting in front of - it’s fascinating) … I once cohabitated with a “Tuxedo” cat who I referred to as “Trillian” (a character in “The Hitchhiker’s Guide To The Galaxy”) who was every bit as “disinterested” and tended to sleep a lot … 👍🏽 JeKijkbuis JeKijkbuis 2 years ago Thank you for this memory refresh! I love it. MM Lee MM Lee 2 years ago Thank you! Professor Carroll. This is what education is all about. Edward Lee Edward Lee 1 year ago thanks dr. Sean . calculus haunted me since hi school and worse, continues to college. now decades and decades later after this lecture , it's more human like. and I can claim I understand it,even though I would still avoid a calculus problem. thanks for the effort and keep up with the good work. from HKER worldwide TheJonlamb12 TheJonlamb12 2 years ago It’s so encouraging that someone as brilliant as Sean Carroll can’t always recall things like Kepler’s laws. Anvilla L. Anvilla L. 2 years ago I used to love the idea of living in Feynman's time, until The Biggest Ideas in the Universe series. Badron88 Badron88 1 year ago I guess the main problem in making physics describe how a river flows or how wind blows, is that their are simply mind boggling amount of particles involved and doing the math on that many objects is basically impossible. 1 BeWe BeWe 1 year ago (edited) @21:58: If x is on the y-axis & t on the x-axis, then it isn't right at the triangle, x should be on the vertical & t on the horizontal side. Only then would you get v=x/t (k=y/x). I love your videos, your explanations are always easy to understand & to follow! I'm a non-native english speaker and your pronuncation helps me a great deal to grasp the concepts. I watched so many videos of brilliant ppl, sadly I couldn't comprehend 1/2 of what they're saying because of their unclear articulation. Edit: Even great ppl make mistakes, I'd have watched the next few minutes after your blunder before commenting. ;-) Sebastjan Brezovnik Sebastjan Brezovnik 2 years ago (edited) Q&A So if we have the Plank length as a smallest limit of 🔼X do we have the same for time? 3 tripp tripp 2 years ago professor, can you make a video series for general relativity for those of us who know undergrad physics & math? thx 1 Cantaloupe Cantaloupe 2 years ago I like the idea of time being continuous! That’s hard to even comprehend. ayush Dhingra ayush Dhingra 1 year ago Thanks Sean It is one of best lecture and the these series Respect Glen Littleton Glen Littleton 2 years ago Carroll's enthusiasm for science is contagious. We are so fortunate to have brilliant people like Sean to inspire. MEF MEF 2 years ago My new favorite series of videos. Thank you. George Steele George Steele 2 years ago (edited) A more heuristic understanding of integral: The odometer is the integral sum of all the speeds. Changing fast at high speed and not at all when stopped. A mathematician will not pick up a hitchhiker because he doesn't want to integrate their weight over distance in fuel. 5 Rob Morcette Rob Morcette 1 year ago Great video, but I would like to thank the people who helped you with this video. Thanks to your photographer and your stunt double, you guys put on a great show. Many thanks BitwiseMobile BitwiseMobile 2 years ago I took 3 years of math 30 years ago for an engineering degree. I honestly haven't used much of that math over the years. This is a nice reminder of how it all began with Math 200 - Calculus I :) Zeedijk Mike Zeedijk Mike 1 year ago It is pure enjoyment to be allowed in to your home and be educated in such a pleasant way. And the cat is just adorable. 1 Ala Bala Ala Bala 2 years ago Great video! Thanks for sharing! One question that is not related to phisics. How did you come up with your cat's name? 1 Vikrant Tyagi Vikrant Tyagi 2 years ago Sean Carroll and Brian Greene, two of the greatest physicists of today's times circulating knowledge in these times is hugely applausible Tony D'Arcy Tony D'Arcy 2 years ago It's amazing that I can catch a ball whilst knowing bugger all about calculus ! No doubt my brain makes a judgment about speed, direction and the changes going on before it instructs my arm and it lands in my hand. There is the story of golfers that if it goes to the right it's a slice, if it goes to the left, it's hook. If it goes straight it's a miracle ! ( For right handers ). Thanks Sean, very interesting as usual. Giannisjohn1 Giannisjohn1 2 years ago (edited) It is very nice work. Thank you professor Carroll. The speech is devine, taking me to higher spheres of existence. But not a big fan of the handwriting: it lacks poetry. Henry Bronett Henry Bronett 2 years ago (edited) For me, not to get a nervous twitch from the word "calculus" and numb off, is already something - but actually getting a sense of what is (might be) going on, is an absolute pleasure - Thank you so much! 1 Jamie Gairns Jamie Gairns 1 year ago Superb series! I am enjoying them immensely Victor T Victor T 6 months ago It's rare to find a nice teacher explaining things. These videos are much better than what I had at university. artyom Diogtev artyom Diogtev 2 years ago Thank you Sean, you are doing a fantastic public service. Lots of people’s are trapped, have plenty time on their hands and unfortunately in many cases lots of doomed & gloomed thoughts in their heads. These lectures help people to distract themselves from those thoughts and learn something they might never had a chance to learn in regular, mundane life. THANK YOU. Fernando Mello Fernando Mello 2 years ago Keep them coming, I'll watch them all !!! Güven Can Öztürk Güven Can Öztürk 1 year ago I wish you were my teacher when I was a student. I finally understand what is calculus for. 1 Manfred Ullrich Manfred Ullrich 2 years ago Which tool is being used for the graphical enhancements? (for creating a "real straight" line, or circle etc.) Matthew Hondrakis Matthew Hondrakis 2 years ago (edited) For the (number of numbers), I think it would have been important to state which set of numbers! This is true for the Reals. Of course Sean Carroll already knows this! I am just putting it out there in the comments for the ones that have seen a different example! These 2 intervals are often used to show the set of R in (0,1) has MORE numbers that the set of integers {Z} Mina Ghavimi Mina Ghavimi 1 year ago Awesome examples to describe derivatives and integrals Rahul Jain Rahul Jain 2 years ago These talks keep dancing around the concept of Unification! :) blueckaym blueckaym 2 years ago "He didn't even have a telescope - he just looked very very carefully" :D 11 Samin Tajik Samin Tajik 1 year ago Ok, moving forward Im using this method of explaining stuff and simplification to get people interested in physics and then will throw all those equations at them :'( Thanks Sean! TheKoopaKing TheKoopaKing 2 years ago What is the lower limit of time/scale of the universe and are there any special implications to whether or not space-time is continuous? Would anything change in a universe where the discrete packets are bigger/smaller? Bonus: How does Planck's constant fit into all this? 1 Ciroluiro Ciroluiro 2 years ago (edited) Even though mathematically you can define a velocity for each moment in time of a given particle, you still use and need information on how it was before to be able to define velocity in the first place. Then, is it really accurate (in an ontological sense) to say that a particle 'has' a postition AND velocity at any given instantaneous moment in time? Another question: Without getting too ahead of myself, aren't these quantum field theory concepts of planck time and planck length evidence that space and time aren't continuous? Would a computer with computational capacity to solve physics equations using planck time and planck length as discrete steps be able to solve the equations with perfect accuracy? (asuming the laws of physics we have are perfectly correct) Given that you are the physicist and I'm not, I assume the answer to the last two question is "No", but I'd like you to elaborate on the "why" if possible. bestape bestape 2 years ago (edited) It's interesting to compare change with calculus. A limit is the end of the line, the point where change stops that's always just over the horizon. It's where the Infinity demon finally fills its belly. But then there's Planck's constant. And practically, lambda calculus is discrete too. It seems useful to think of the Infinitesimal as a spherical cow of resolution quality. If we take the c in a^2 + b^2 = c^2 and turn it into asymmetric c = ax + b, then x is the "natural resonance" of the a by 2b matrix. For instance, if we want n precision of a square, x^n can get us there with a = 1 and 2b = 1. Please see my Instagram @bestape for images, including 2D to 3D transition. I'm a musician so I can't make a theory of physics out of it but maybe someone else will find it a useful measurement tool among the many other useful tools. Maybe the tool can be called smoke box calculus (compare black box), courtesy of Neil Sloane. Thank you! I'm looking forward to 3. 1983Nny 1983Nny 2 years ago (edited) So... it's the plagues fault I had to learn calculus at high school... of course it was. It all makes sense now... Although I struggle with the mathematical side of it, I love the philosophical side of physics. Even learning the breakdown of the abridged math designed for the simplest of laymen is fascinating. I dont know if you read these, Sean, but you're a fantastic science communicator. I'm enjoying these "biggest ideas" Charlie Bray Charlie Bray 2 years ago Sean Carol, the James Brown of physics workin it like a boss. Suggestion. I know you don't want to get caught up in the math part of this because the concepts are more important. It would be kind of neat if you would do like a Big Bang Theory quick screenshot at the end with some annotated math when it's appropriate for us people who would like to dig a Little Deeper. You're killing it man keep it up. Dillinger86 Dillinger86 2 years ago So what if we had a super quantum computer that could give us visualization of running those calculations backwards, so we could watch it, like in a simulation. Mike Mike 2 years ago (edited) Yeah, I was planning on doing a physics degree at university until I started having to solve integrals in math class, then I decided there must be easier ways to earn a living, and did computer science instead (avoiding analog electronics, naturally). Many years later, I watched a college Calculus 101 class on YouTube, and everything went fine until they started on integration. Turns out I had made the right decision not to do a physics degree. Paco 6335 Paco 6335 2 years ago C’est passionnant!MERCI Ullrich Fischer Ullrich Fischer 2 years ago Is calculus an approximation to quantized space-time which can be handled with the math of finite differences in modern computers? Michael M Michael M 2 years ago (edited) Sean: "No one's going to run for president with the motto of seeking calculus" Andrew Yang: [takes off math cap] 9 Amiya Sarkar Amiya Sarkar 2 years ago Is there any particular way that calculus would work in an atomic scale? For example, determining the velocity of a subatomic particle, given that we would be approaching Planck length. Of course, we have to let go the measurement problem. Thanks and regards! Bonnie L Bonnie L 2 years ago I'm pretty sure I saw him on How The Universe Works .... i wish there were more episodes online Soul DFS Soul DFS 2 years ago Caliban should have a bigger part in the show!!! That would be cool!!! 1 Blade Runner6997 Blade Runner6997 2 years ago (edited) Sean is a great communicator. The tenor and pace at which he speaks combined with the simplicity, enthusiasm and energy he puts forth are about as good as I've seen. And that cat is pretty darn big and definitely well cared for. Brad Palmer Brad Palmer 2 years ago (edited) Sean, Can you share what you are using to record these videos? 1 adge610220 adge610220 2 years ago Great stuff. Thank you. Jon Rutherford Jon Rutherford 1 year ago Enjoyed the entire video, though for me the highlight was the cameow appearance of Caliban the cat. I put the video on paws in order to admire his grace and beauty. It's encouraging to see a cat interested in technology (green screen), too. Theodor Samoladas Theodor Samoladas 2 years ago Sean Carroll is honoring us by coming down to the basics, in order to clarify us the implementations of abstracted (thought to be) mathematics in research of the Newtonian properties of nature. Until now such lessons were either too advanced to clearly understand, or too flat in the shake of public simplification. He manages to bridge these aspects and this is great! Thank you Sean! 2 Isabel AB Isabel AB 2 years ago I have not done calculus in 35 years...but somehow I need to go back to it! 1 Feeling Creative Feeling Creative 1 year ago I love being a nerd, lol Watching these videos after a 14 hour shift in the lab, woo hoo Corona virus, schmoma virus. Sick of this sh@t!! Love calculus after drinking a little bit of Kamakazi (some will know what I mean). For real, I love this sh!t, haha Sean, you rock!! Now, sleep is overtaking me. Rosk on all you daywalkers. Much love and peace. Stay well my friends. 1 Deborah Ansari Deborah Ansari 2 years ago Wait, wait, wait! All this time I thought if you continuously divide and count ALL numbers between 0 and 1 you would ultimately reach the plank length and nothing is smaller than the plank length. AngryDuck! AngryDuck! 2 years ago I heard somewhere that they recently demonstrated that time is discreet and comes in packets analogous to the Planck length, but is so short that time is effectively continous. But I can't remember the details. VOJTEH URBANČIČ VOJTEH URBANČIČ 2 years ago Another great lecture. I watched all three parts with intellectual pleasure. My only complaint is that you do not spell certain words correctly. Newton's Principia Mathematica is pronounced: https://www.youtube.com/watch?v=8_P1DSBo0bI Einstein's surname is correctly pronounced https://www.youtube.com/watch?v=ewdqIregQis On behalf of all countries (minus three), I ask you to use the SI International System of Units, not the Medieval Imperial, which is foreign to everyone else. Thank you! Kind regards I Tell You For Free I Tell You For Free 1 year ago 23:00 I didn't notice that you switched x and t, to be honest (probably my mind autocorrected), but it bothered me that you didn't use Δx and Δt. I think it would have been more useful pedagogically. jjson775 jjson775 1 year ago I have studied all this but enjoy your explanation very much. 3dlabs99 3dlabs99 1 year ago 42:50 Isnt the real question here if position in space is discrete or continuous rather than time? Time seems to me like a secondary property to quantify the rate of change in position so to me time doesnt exist physically the same way as position does. So time always seem more abstract to me because its not defined alone by itself but always in relation to some change in in a physical thing like the change of position of a particle or the decay of an atom or something. 3dlabs99 3dlabs99 1 year ago 35:59 dont you have to add in the starting point of the car (like the initial x)? If you only know the velocity you still need to know where the car started from to get x. eddy oklobdzija eddy oklobdzija 2 years ago NICE lecture. Clear and concise. Laldingliana Vanchhawng Laldingliana Vanchhawng 2 years ago Professor Carroll, can you upload a video concerning the explanation of parity..🙂... David Werfelmann David Werfelmann 2 years ago Question: Does calculus have some kind of built in margin of error? I'm assuming the answer is no because its application is so broad. But how does it make the leap past the idea of approximating slope at smaller and smaller intervals of time to fully and completely describing the real world? I don't know if this can be explained simply, but its a concept I don't fully get about calculus. I absolutely love this, by the way. Working my way through a math course on EdX thanks to your recommendation. Thank you! Klaus anti theist Bolvig Klaus anti theist Bolvig 2 years ago I think I need to see this once again, but I think I’m on the right path. I just learned that the second law of thermodynamics is in a problem. Which should be one of the most secure laws. And the conservation of information due to black hole might not be totally correct. This paper was released recently. But further investigation might solve or change the issues. The error of times is so strange that we might be heading towards a revolution of how we understand the universe- and here I’m taking all the things into count. I hope I live long enough for my curiosity hope for a GUT equation. But time will show. Maybe quantum computer will be able to get us much more close than right now. Anyway thanks for your amazing lecture. Ps I live in Denmark so tycho had his own i land . Moen( Møn ) as a gift from the king. Further Curiosity Further Curiosity 4 months ago Imagine, we came to a phase where we understand the Final theory that governs the nature. What, next? Was understanding the universe is the only ambition for our existence? This are some of the question, I want to like to have answer. Randy James Randy James 2 years ago Is there a relationship between vector graphics and calculus? TheyCallMeNewb TheyCallMeNewb 2 years ago I've come to the realisation that brains can generally be of the inclination either of word, or of number. Words I have down... To an almost unhelpfully fustian degree. I'm fighting now to share in the mathematician's talent. Camilo Roca Camilo Roca 2 years ago question: is the many worlds interpretation a mathematical approximation like others shown in this video ? or does it literally says that the universe branches on certain quantum events ? Cepheid Cepheid 2 years ago Thank you for posting these lectures they're a nice supplement to my intro physics course. Also, I feel bad for extroverts, I'm used to living out of my room! 1 Ardy Hagen Ardy Hagen 2 years ago Hopefully our pandemic will yield some great new discoveries Wayne Arrington Wayne Arrington 1 year ago The best science communicator and educator I have ever encountered. Really appreciate the flow of words and ideas; the absence of ahhhh, you know and all the other fillers that people use when public speaking. Joye Colbeck Joye Colbeck 2 years ago A spherical car Sean? Really? 😁😷 Love these big idea outputs thankyou. Mati Stein Mati Stein 2 years ago Put lights on the green too, and make sure you lit the green equally. That's the way to work with the green. Sebastjan Brezovnik Sebastjan Brezovnik 2 years ago Guess there is some good in this global epidemic....Prof Green and Carroll uploading science videos...👍 Mark G Mark G 2 years ago Sad when you learn in one hour what a bad teacher can't get across in an entire YEAR! Damn Corona Virus had to happen 20 years too late! 12 C M C M 1 year ago Please, please do not stop posting these videos! Laurence Porter Laurence Porter 1 year ago ... fascinated by 'maths' all my life ...but couldn't DO it to save my life!... been using lock down to try to (belatedly) get my head 'round what the hell this wonderful Calculus thing is ... 29:30 ... the first crack of dawn in my darkness! ... thank you! Shoopaah Shoopaah 2 years ago Great stuff. Needs more subs! David Sims David Sims 2 years ago (edited) Nice basic calculus exposition. Hey Sean. Here's a classical mechanics question. Two point masses, M₁ and M₂, are initially, at time t₀, at rest and separated by a distance, d. They are acted upon by no forces other than their mutual gravitational attraction. What percentage of d is closed over the first half of the total amount of time from t₀ until contact? Heh heh. To solve it, you need to use CALCULUS! Fizikus Fizikus 2 years ago Hello. My Question: Is the concept of "change" related to the concept of "reference"? Will you shoot a video about "reference"? Thanks. NOTE : My English is bad. Sorry. :(