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.
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.
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.
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!
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.
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.
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 :)
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.
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
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 UA-camrs, but there's an atheist UA-camr 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!
The biggest surprise in the Universe is when the cat of a physicist is named after a character in a Shakespeare piece instead of Schrödinger. Then again.. Caliban stands for the raw force of nature - maybe that's why. Also explains the green screen attacks. 😉
I see! You're quoting the ancient Tamil scripture, Thirukural, which says: "அடி அளந்தான் திருக்குறள்" "Adi alanthan Thirukural" This translates to: "The feet that measure the earth are the same that measure the universe" This is a profound and insightful verse from Thirukural, which suggests that the same principles and measurements that apply to our everyday experiences (like walking on earth) can also be applied to understanding the vastness of the universe. In this sense, yes, it's "right" - the verse is encouraging us to recognize the connections and patterns that exist across different scales and realms, from the smallest to the largest. Thirukural is a revered text in Tamil literature and culture, and this verse is a beautiful example of its wisdom and poetic expression.
Change is interesting because it requires time. And what is time? In neutron decay cosmology time is first a compact dimension. One single Planck second. Since that's all the time anyone really needs. We can recycle it. Literally. But what is time? A space one can't enter and sip one must go around it creating path divergence?
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.
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!
Amazing. On thing though: please watch the bottom edge of the screen - sometimes there are half words only visible which was not confusing but still...
More solo podcasts would be awesome! Cute cat. If I won the lottery, and got to drop lsd with a person of my choosing. I think I'd pick steve irwin, lol.. you're a real close second tho mr Sean
If predicting the future comes from the derivative of a known set of values, is it possible that over long periods of time the prediction fails as a result of unknown values from the initial equation? Ie our current knowledge of boundaries is limited let's say between 1 and 2, when in reality it could be 0 and 6, which would "shift" the prediction to a different degree (and maybe direction?) than when using 1 and 2?
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.
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!
No. It's exact. E.G. The trick for differentiation is to describe the function for the slope in terms of two points and then ask what is the limit of the function as the distance between the two points goes to 0? You rearrange the equations so you don't end up with a zero on the bottom. With the distance being 0, you get the tangent and so the slope at that point, in the form of a function that describes the slope at every point on the curve. E.G. the differential of x^2 is 2x. I.E. the slope of the tangent at any point is exactly 2x for all values of x. You will do this in your first calculus lesson and you will immediately appreciate what a neat trick it is.
So have I got this right? Real farmers wanted to know how they could raise the milk yield of their cows in order presumably to benefit the health of the community. A bunch of scientists funded by whoever had a good laugh at the farmer’s expense and suggested ‘spherical cows’! Thank goodness we have down to earth food providers living in the real world. Let’s divert funding from beer drinking physicists to food providing farmers.
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 ?
"apologies to mathematicians" - nah, infinitesimals can actually be made mathematically rigorous (see "nonstandard analysis") - it does require quite some model theory though. Mathematicians that complain about physicists doing "sloppy" things with differential operators now annoy me a lot more. At least the physicists don't pretend to know what's mathematically "correct", whereas the complaining mathematicians *do* while being wrong :D
@SeanCarroll is there an absolute time? Like if we say that speed of light is an absolute speed, can we talk about absolute time. Or is there no absolute time as everything is relative to one another and 'think's' that their time is absolute? #Q&A #QandA
@SeanCarroll As a graphics artist loving your stuff, the white background is a bit tiresome to look at, especially as the rest of your video is primarily dark-ish. Does the app you are drawing in have to possibility to set a color close to dark chalk board with white chalk for text? It would be easier on they eyes and thematically fit well :) I made a mockup, something like this: imgur.com/WMLhxci
People give Pascal a bad rap for coming up with Pascals wager. Pascal said pressure on a liquid is equal in all directions, no matter where it is measured. Force is pressure x area. He is the father of modern hydraulics.
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!!!
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
@@nhatmnguyen Basically this is everything wrong with democracy. Most of the ideas on which civilisation is built are not properly understood by most people. In fact, most people do not ever even really think about most of these ideas, let alone understand them.
@@alexpotts6520 Wait, you think you live in an actual democracy? Fascinating, coming from a person who complains about people's misunderstanding of their civilisational foundations. Odds are, you currently live in a republic, and you are in the process of complaining about problems specific to republics, _not_ democracies. In fact, these problems are inevitable features of republics, not bugs, and are pretty much necessary for these systems to function. With democracies, on the other hand, citizens are not objects of political power, acting as voting props for the real subjects of political power. Instead, they are subjects of power themselves and are therefore exposed to, and accountable for, political matters actually being discussed, rather than watered down exposition about them, tailored to fit as four words slogans.
@@lucofparis4819 When I use the word "democracy", I am using it like 99% of people would. I would be the first to say that, in general, 99% of people believing something doesn't make it true, but in this particular case, words are just signifiers, created by humans themselves, and hence they mean whatever the consensus of English speakers agrees them to mean. In this specific context, the 99% majority definition of a word is ipso facto the correct one. So I don't care much for arguments that rely on defining a word in a way that the vast majority of people do not recognise. As for your point generally, a system of what is normally called "direct democracy" (as opposed to the representative democracy which is generally what people are talking about when they use the word "democracy" without a qualifier) is also flawed. Having people vote directly on policy, as opposed to voting for representatives who then decide policy on their behalf, doesn't remove the fundamental problem - the world is too complicated for people to make informed voting decisions. Oh, and finally, I live in Britain. Which is famously *not* a republic, thank you very much.
@@alexpotts6520 Then you're not talking about a democracy, but a democratic oligarchy, i.e. the government of the few, under the legitimacy of the people, which is the founding tenet of the republic system. You may argue over the definition of a democracy all you want, you're still acknowledging its intended meaning by understanding that representative democracies are only indirectly democratic, which is to say everybody knows they're not, including the aforementioned 99%. The usual thinking (the 99%) implies that a direct democracy does not, or cannot, exist, for practical reasons which somehow make it an irrelevant or unstable system. Either way, those 99% are still knowing and meaning that democracy pertains to that particular idea, and that a representative democracy is merely the _practical_ application of that idea. Now that we have both made clear that we were understanding each other from the beginning, and since arguing for a specific qualifier doesn't change the argument at all, please bear in mind that actual/complete/direct/real democracies don't only ask their citizens to vote on policies. They also ask them to nominate expert positions, propose policies themselves, and debate them. Practically speaking, active citizens in a real democracy are therefore comparable to representatives in a virtual democracy, except they get to have a say on all branches of power rather than just legislative power. So, in summary, it _is_ the case that real democracies remove the problem in discussion, since vote is not the drive for decision making, owing that citizens need not pander to an electorate, and said citizens _do_ decide on policies rather than just vote on them, much like MEPs do in the UK (which can and does involve the nomination of an executive branch rather than relying on an assembly to make executive choices by itself, again just like in the UK). Last but not least, I've said 'odds are you live in a republic', so you can indeed thank me for not assuming where you live, and instead making a warranted probabilistic claim. Still, I'd argue that living in a parliamentary kingdom is not the same thing as living in an actual monarchy, such that what we tend to call a 'parliamentary monarchy' is functionally the same as a parliamentary republic. The president just happens to be a king or queen. All in all, both structures are effectively democratic oligarchies, hence why you think of yourself as living in a democracy on one hand, yet argue that you live in a kingdom/monarchy on the other, even though you know this would make no sense had we taken any of these words by their general meanings (i.e. the meaning of the 99%). By the way, are you gonna argue that the People's Republic of China is a republic because everyone calls it that? Or will you tentatively agree with me that labels and concepts are two separate things, and that a republic, kingdom, or democracy label is not the same thing as a republic, kingdom, or democracy system/concept?
@@lucofparis4819 It feels like you are still missing the point. My criticism of "real" democracy (let us please call it direct democracy because the democracy that exists in modern western countries is very real, and only someone privileged enough to have lived in one such democracy their whole life could be so blasé about it) applies equally to my criticism of existing representative democracy, except it's now on steroids. Please explain to me how you think the problem of public ignorance is going to be helped by giving that public more decision-making power.
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!
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.
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.
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.
Just listening to these lectures walking to my physics class is giving me so much vibes and confidence that I don't know what I'll do when this series will end (sorry for my poor grammar, haven't checked it)
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.
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?
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.
One thing that has always impressed me about Sean is his eloquence. I do not think he reads off a teleprompt, and yet his language is lucid, eloquent, rich in vocabulary, nuanced, and fluent. His statements are not interrupted by interjections like “erm”, he does not even use qualifiers like “sort of”, and his videos appear to be entirely unedited. Also his presentations appear entirely natural, they are not polished in a way a public speaker might deliberately design an address to be impactful. The result is a lecture that is easy to follow, and the listener can use all of their attention to focus on the topic Sean is discussing. Top marks from me! I love this series.
Free lectures from the Caroll himself?? Yes pleass
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.
I was going to give your comment a Thumbs Up, but it's on '42' so I didn't want to ruin the symmetry ;-)
@@Mirrorgirl492 what symmetry?
💯
@@Mirrorgirl492 But broken symmetries give rise to truly massive results!
Symmetry? -
ua-cam.com/video/fXsiW7A--dY/v-deo.html
Titling this ‘Change’ is a smart move by a brilliant professor to drop the c word two minutes in. Loving the videos!
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.
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.
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!
Carroll's enthusiasm for science is contagious. We are so fortunate to have brilliant people like Sean to inspire.
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.
Love your podcast Professor Carroll. Thank you for all you did.
Sean Carroll is really wonderful speaker with excellent clarity of ideas. Thanks for his efforts
Thank you! Professor Carroll. This is what education is all about.
I wish you were my teacher when I was a student. I finally understand what is calculus for.
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.
Thank you so much. You're a fantastic communicator and you've renewed my curiosity in the world!
Love the cat. Thank you for showing us Caliban. Reviewing the greatest physics discoveries of the human is great too.
Dr. Carrol, thank you for a great lecture. Cat and Physics, my 2 highlights of the day.
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.
Why would that make integration harder than differentiation? Don't you need the function to both integrate and differentiate?
Love the series Sean, you are a wonderfull friend the internet gave me. Thank you.
my favorite part was seeing you mess up the distance and time on the axis. Nice to know we are all human ;)
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 :)
Thank you Prof.Sean C.
Thanks for this.
Really enjoyed your most recent book.
Thanks for that too🌞
Best wishes
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.
I'm loving these Biggest Idea videos! Thanks Sean!
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.
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
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
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 UA-camrs, but there's an atheist UA-camr 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!
The biggest surprise in the Universe is when the cat of a physicist is named after a character in a Shakespeare piece instead of Schrödinger.
Then again.. Caliban stands for the raw force of nature - maybe that's why. Also explains the green screen attacks. 😉
I see! You're quoting the ancient Tamil scripture, Thirukural, which says:
"அடி அளந்தான் திருக்குறள்"
"Adi alanthan Thirukural"
This translates to:
"The feet that measure the earth are the same that measure the universe"
This is a profound and insightful verse from Thirukural, which suggests that the same principles and measurements that apply to our everyday experiences (like walking on earth) can also be applied to understanding the vastness of the universe.
In this sense, yes, it's "right" - the verse is encouraging us to recognize the connections and patterns that exist across different scales and realms, from the smallest to the largest.
Thirukural is a revered text in Tamil literature and culture, and this verse is a beautiful example of its wisdom and poetic expression.
Please read my comments
Ok… but why should we care?
The scripture might have been useful when we knew absolutely nothing. What value does it have today?
Change is interesting because it requires time. And what is time? In neutron decay cosmology time is first a compact dimension. One single Planck second. Since that's all the time anyone really needs. We can recycle it. Literally. But what is time? A space one can't enter and sip one must go around it creating path divergence?
The green-screen is still showing through your hair Sean. You need to dye your hair red. Like Ronald McDonald red. ; )
put a 75 inch cheap ass tv behind and solve all the issues
Exactly what I was gonna say :D
I have a better idea(may not work as much) but how bout an Einstein wig?
How about Donald McTrump orange.
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.
Impeccable info ! Btw Nice to see the cat in this video so cute😍
I would definitely vote for any politician that can just spell Calculus.. that is all I ask for! is that too much to ask? love these lectures.
Dope talks Carroll
I'm pretty sure I saw him on How The Universe Works .... i wish there were more episodes online
Appreciate it very much, best regards and keep care from Germany
The description in the thumbnail image needs to be about what is being talked about IMHO.
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!
The cat is the reason why I came here! LOL
Amazing. On thing though: please watch the bottom edge of the screen - sometimes there are half words only visible which was not confusing but still...
I would vote for a candidate «Seeking Calculus».
Soothing
More solo podcasts would be awesome! Cute cat. If I won the lottery, and got to drop lsd with a person of my choosing. I think I'd pick steve irwin, lol.. you're a real close second tho mr Sean
If predicting the future comes from the derivative of a known set of values, is it possible that over long periods of time the prediction fails as a result of unknown values from the initial equation? Ie our current knowledge of boundaries is limited let's say between 1 and 2, when in reality it could be 0 and 6, which would "shift" the prediction to a different degree (and maybe direction?) than when using 1 and 2?
Calculus starts at 18:22
Professor Carroll, can you upload a video concerning the explanation of parity..🙂...
Wow esperando esto con emocion desde Venezuela en mi casa
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.
How come he has only 84k subscribers ?!
Derivatives. Ugh but this is great. Been @while since I have thought of this.
tico-tico; the original Danish forename of Brahe was Tyge, in modern Danish pronunciation something like tew-er (sic; the g is mute!)
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!
No. It's exact. E.G. The trick for differentiation is to describe the function for the slope in terms of two points and then ask what is the limit of the function as the distance between the two points goes to 0? You rearrange the equations so you don't end up with a zero on the bottom. With the distance being 0, you get the tangent and so the slope at that point, in the form of a function that describes the slope at every point on the curve. E.G. the differential of x^2 is 2x. I.E. the slope of the tangent at any point is exactly 2x for all values of x. You will do this in your first calculus lesson and you will immediately appreciate what a neat trick it is.
So have I got this right? Real farmers wanted to know how they could raise the milk yield of their cows in order presumably to benefit the health of the community.
A bunch of scientists funded by whoever had a good laugh at the farmer’s expense and suggested ‘spherical cows’!
Thank goodness we have down to earth food providers living in the real world.
Let’s divert funding from beer drinking physicists to food providing farmers.
Apple story was immortalized by Voltaire -- he heard it from Newton's relative (niece I think)
Calculus is also what makes your dentist appointment suck.
28:15 ...small mistake?
Btw, where do you stand on Mathematics discovered vs invented question?
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 ?
"apologies to mathematicians" - nah, infinitesimals can actually be made mathematically rigorous (see "nonstandard analysis") - it does require quite some model theory though. Mathematicians that complain about physicists doing "sloppy" things with differential operators now annoy me a lot more. At least the physicists don't pretend to know what's mathematically "correct", whereas the complaining mathematicians *do* while being wrong :D
18:50 Assume an spherical car
Carroll's cat experiment. (Please don't gas the cat.)
I feel so privileged to sit in and be a digital student of yours. Thank you so much for these Mr Carroll.
Me too man it’s crazy
Dr carroll !!!!!!
@@vinayak1487 Professor*
@@drwhackadoodle360 cmon guys it’s daddy Carroll 😊
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!
@SeanCarroll is there an absolute time? Like if we say that speed of light is an absolute speed, can we talk about absolute time. Or is there no absolute time as everything is relative to one another and 'think's' that their time is absolute? #Q&A #QandA
@SeanCarroll As a graphics artist loving your stuff, the white background is a bit tiresome to look at, especially as the rest of your video is primarily dark-ish. Does the app you are drawing in have to possibility to set a color close to dark chalk board with white chalk for text? It would be easier on they eyes and thematically fit well :) I made a mockup, something like this: imgur.com/WMLhxci
😍My new idol.
What does spectrum mean, when designing a detector?
People give Pascal a bad rap for coming up with Pascals wager. Pascal said pressure on a liquid is equal in all directions, no matter where it is measured. Force is pressure x area. He is the father of modern hydraulics.
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!!!
What'd you do during lockdown?
Learn Calculus!
"He didn't even have a telescope - he just looked very very carefully" :D
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
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!
"figure-outable" is definitely my word of the day :) Thanks for the light-heartedness of conveying these ideas
"Consider a spherical car ..." :-D
Titousensei 😂 that is exactly what I thought too
😁😁😁😁
"...spherical COW..." is what he says
Absolutely brilliant.. With my teenagers home, mandatory video. And thay love it. much discussion after. Good stuff.
I just love these videos! Finally an interesting podcast :D
Sean: "No one's going to run for president with the motto of seeking calculus"
Andrew Yang: [takes off math cap]
We all got bamboozled into taking a calculas class. Not that I'm complaining.
“No ones gonna run for president with the motto of seeking calculus” cough cough Andrew Yang
@@nhatmnguyen Basically this is everything wrong with democracy. Most of the ideas on which civilisation is built are not properly understood by most people. In fact, most people do not ever even really think about most of these ideas, let alone understand them.
@@alexpotts6520 Wait, you think you live in an actual democracy? Fascinating, coming from a person who complains about people's misunderstanding of their civilisational foundations. Odds are, you currently live in a republic, and you are in the process of complaining about problems specific to republics, _not_ democracies.
In fact, these problems are inevitable features of republics, not bugs, and are pretty much necessary for these systems to function. With democracies, on the other hand, citizens are not objects of political power, acting as voting props for the real subjects of political power. Instead, they are subjects of power themselves and are therefore exposed to, and accountable for, political matters actually being discussed, rather than watered down exposition about them, tailored to fit as four words slogans.
@@lucofparis4819 When I use the word "democracy", I am using it like 99% of people would. I would be the first to say that, in general, 99% of people believing something doesn't make it true, but in this particular case, words are just signifiers, created by humans themselves, and hence they mean whatever the consensus of English speakers agrees them to mean. In this specific context, the 99% majority definition of a word is ipso facto the correct one. So I don't care much for arguments that rely on defining a word in a way that the vast majority of people do not recognise.
As for your point generally, a system of what is normally called "direct democracy" (as opposed to the representative democracy which is generally what people are talking about when they use the word "democracy" without a qualifier) is also flawed. Having people vote directly on policy, as opposed to voting for representatives who then decide policy on their behalf, doesn't remove the fundamental problem - the world is too complicated for people to make informed voting decisions.
Oh, and finally, I live in Britain. Which is famously *not* a republic, thank you very much.
@@alexpotts6520 Then you're not talking about a democracy, but a democratic oligarchy, i.e. the government of the few, under the legitimacy of the people, which is the founding tenet of the republic system.
You may argue over the definition of a democracy all you want, you're still acknowledging its intended meaning by understanding that representative democracies are only indirectly democratic, which is to say everybody knows they're not, including the aforementioned 99%.
The usual thinking (the 99%) implies that a direct democracy does not, or cannot, exist, for practical reasons which somehow make it an irrelevant or unstable system. Either way, those 99% are still knowing and meaning that democracy pertains to that particular idea, and that a representative democracy is merely the _practical_ application of that idea.
Now that we have both made clear that we were understanding each other from the beginning, and since arguing for a specific qualifier doesn't change the argument at all, please bear in mind that actual/complete/direct/real democracies don't only ask their citizens to vote on policies. They also ask them to nominate expert positions, propose policies themselves, and debate them. Practically speaking, active citizens in a real democracy are therefore comparable to representatives in a virtual democracy, except they get to have a say on all branches of power rather than just legislative power.
So, in summary, it _is_ the case that real democracies remove the problem in discussion, since vote is not the drive for decision making, owing that citizens need not pander to an electorate, and said citizens _do_ decide on policies rather than just vote on them, much like MEPs do in the UK (which can and does involve the nomination of an executive branch rather than relying on an assembly to make executive choices by itself, again just like in the UK).
Last but not least, I've said 'odds are you live in a republic', so you can indeed thank me for not assuming where you live, and instead making a warranted probabilistic claim. Still, I'd argue that living in a parliamentary kingdom is not the same thing as living in an actual monarchy, such that what we tend to call a 'parliamentary monarchy' is functionally the same as a parliamentary republic. The president just happens to be a king or queen. All in all, both structures are effectively democratic oligarchies, hence why you think of yourself as living in a democracy on one hand, yet argue that you live in a kingdom/monarchy on the other, even though you know this would make no sense had we taken any of these words by their general meanings (i.e. the meaning of the 99%). By the way, are you gonna argue that the People's Republic of China is a republic because everyone calls it that? Or will you tentatively agree with me that labels and concepts are two separate things, and that a republic, kingdom, or democracy label is not the same thing as a republic, kingdom, or democracy system/concept?
@@lucofparis4819 It feels like you are still missing the point. My criticism of "real" democracy (let us please call it direct democracy because the democracy that exists in modern western countries is very real, and only someone privileged enough to have lived in one such democracy their whole life could be so blasé about it) applies equally to my criticism of existing representative democracy, except it's now on steroids. Please explain to me how you think the problem of public ignorance is going to be helped by giving that public more decision-making power.
Thank you so much for this series! I love the mix between physics & philosophy!
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!
Oh my gosh we got to meet your cat :) I love how you can interrupt some "deep" thoughts to introduce us to your cat :)
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.
This made me feel a lot smarter than I actually am.
I love your use of the term, "figure-outtable." Definitely why you're one of my faves
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.
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.
Just listening to these lectures walking to my physics class is giving me so much vibes and confidence that I don't know what I'll do when this series will end (sorry for my poor grammar, haven't checked it)
Does anyone know what app he's using on the iPad?
The sound of Sean Carroll's writing and the way it appears on the screen is really nice.
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.
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?
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.
18:50 "here's my version of a car... " , still better than Cyber-Truck
“You can run for President with the motto, ‘change’ but no one is gonna run for President with the motto, ‘calculus’. LOL superb.
great simple explanation, problably if I'd been taught this way calculus, I would have not suffer so much
I would love to see Donald Trump and Joe Biden debate calculus.
#MakeCalculusGreatAgain
That would be bigly beautiful, praise the Lord.
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!
It is always a cat. Eternicat. Forever in the way somewhere. Cat ownership is entropy in action.
lol, ture. Somehow I feel more comfortable with Mr. Carroll having the cat rather than Mr. Schrodinger ;-)
I have not done calculus in 35 years...but somehow I need to go back to it!
This is brilliant! Just discovered it and already recommended to a friend.
One thing that has always impressed me about Sean is his eloquence. I do not think he reads off a teleprompt, and yet his language is lucid, eloquent, rich in vocabulary, nuanced, and fluent. His statements are not interrupted by interjections like “erm”, he does not even use qualifiers like “sort of”, and his videos appear to be entirely unedited. Also his presentations appear entirely natural, they are not polished in a way a public speaker might deliberately design an address to be impactful. The result is a lecture that is easy to follow, and the listener can use all of their attention to focus on the topic Sean is discussing. Top marks from me! I love this series.
I really enjoy your presentation style, thank you for your briiliant videos.