I think at least an introduction should be , and give the students the chance of getting basic knowledge of main areas of math , number theory and geometry ...
This is three years late so it might just get stuck in the void, but maybe someone else in the same mental hole I find myself in sometimes can pull themselves out of it. I am a postdoc my research specializes in quantum physics. In particular quantum information science. Steven's statement on the advice he would give himself really strikes home for me about, "Don't worry about being the smartest." I feel I am in a similar situation where I see the brilliant people working around me on amazing problems and can feel I am not at the same level. I am transitioning to a tenure-track position where I will now start to build my own research program and the sentiment that, "love can go far" is just perfect and I will come back to that as I continue my career. I feel great about my work and really enjoy it when I can feel that love for it and not get bogged down that I am not publishing as much as others and not in one of the top journal. All this is to just say thank you to for this interview Brian and thank you to Steven for that wonderful comment.
Great Great show Brian. Former UC Berkeley math student turned General Building Contractor (long story), but I still love following current events and luminaries, thanks for the show!!!
Lars. Thanks so much! *What was your favorite takeaway from this conversation?* _Please join my mailing list to get _*_FREE_*_ notes & resources from this show! Click_ 👉 briankeating.com/mailing_list.php
Glad you enjoyed it! Thanks very much Please join my mailing list; click here 👉 briankeating.com/list 📝 if you haven’t yet. *_And stay tuned for more._*
Hey Steven, super interesting hearing you talk. I have ordered your book from Amazon. If you want more listeners for your podcast I would consider uploading your podcast on to UA-cam. Even if there is no video (like many of Sean Carroll's podcasts). I listen to all my podcasts on UA-cam, and barely ever watch the video. But it is more convenient to find them on UA-cam. AND UA-cam recommendation system could help introduce many new people to your podcast.
Keating, I don't blame you on missing out on the most important aspect of the infinite power of calculus, how mankind came to know of the power. It originated in India and the Muslims took it to Europe, where Leibniz and Newton found it speaks the words of divine design. Madhava's infinite series (first used in calculating pi) gave the first inkling of this divine power. However, your inquisitiveness about entropy and Stevens coupling mystery, gave me a glimpse of the divine purpose (believer's apology), consider many particles in a box, if they clump together in one corner we say entropy is at minimum, as they spread throughout the box, we say entropy increases. With a knowledge of quantum gravity, we may unravel the secrets of clumping organic molecules (Steven's coupling/clumping) we can unravel the low entropy of life (ultimate purpose of the mind of god-infinite power of calculus). AI can never think, it is spellbinding that it is the job of humans to find how human consciousness entangle with cosmic consciousness.
Versus being happy with just a “single” frame of a moment. There can be a romantic connection between a viewer and some visual art (image, picture, etc) Emotion can be manipulated through a sequence of events in time much easier than creating a single image.
You ask some fascinating questions Dr. Keating; I was especially interested when you asked him how he counts. In movies and TV, the inner workings of brilliant minds are conceptualized as equations and numbers flying across their field of vision (ex. A Beautiful Mind code-cracking scene). I think this perception both alienates people by leading them to believe they have to be gifted with some special way of thinking in order to solve hard problems, and undermines the years of hard work and education endured by those individuals. I think your question and Steven's answer elucidated that, in reality, great scientists and mathematicians think and count in essentially the same way we all do. Therefore it is something accessible to anyone willing to put in the work.
Dont forget to take into account the fact that your unhappiest kid has x potential for increase when they're at rock bottom, and your happiest has y potential for catastrophe...
Hi Brian. You mention about music that it has a linear character, while imagery is inherently two-dimensional in character. However, you can also attribute dimensionality in terms of how much *information* a recording device needs to store in order to reproduce with fidelity. Color space is a three-dimensional space, making a picture a five-dimensional space. But as you know: human hearing does a complete fourier analysis. Hearing resolves superposition of multiple frequencies, up to a continuum of freqencies. Arguably music is infinite-dimensional. Of course: as demonstrated by audio-compression technology, human audio space is not actually infinite-dimensional. One minute of MP3 compressed audio is about 1MB One minute of 720p compressed video is also about 1MB
I seem to remember (subject to correction) that Roger Penrose thinks consciousness' is non-computational - that it does something not capturable by a Turing machine. Maybe. But that doesn't permit the inference that whatever consciousness is, is un -physical. That conclusion would require a far stronger, and maybe different kind, of evidence. Thee's a tendency to equate 'don't know so far' with 'can't be true.'
try studying noncommutative geometry or quantum algebra. Look up Fields Medal math professor Alain Connes youtube talks on quantum music or music of the quantum sphere. thanks
The big family conversation seems a bit biased in favor of wealthy families. A lot of the big poor families I grew up around seemed quite .. Hobbesian. In my particular family there was a lot of violence between the kids and adults, respectively.
Public schools can barely get students to pass geometry…how the Fu%# would Calculus be any different? The questions people should ask are why are kids not prepared when they enter high school?
Nice episode, Brian. Except, I believe you’re both wide of the mark in regard to visual art being less emotionally affective than music, sculpture, etc. And music's temporal nature is irrelevant. It’s quite contextual. e.g., David Kassan’s from-life paintings and holocaustic subject matter are extremely emotive. Alex Grey’s paintings speak the ineffable entheogenic experience. Art strangely has more breadth than music. However, music is closely tied to speech and our evolutional past with sound - not to mention its being a mechanical wave, while we’re acoustically baryonic. Images, though, are linked to our gestalt principles of perception. Also, many modern artists often made objects simply to designate the viewers’ experiences as the actual art piece, and not the objects. Hell, there’s art made specifically to make you feel uncomfortable - what’s a haunted house, but an anthropic fear sculpture in Minkowski space? Art only exists with time; even stale images. But ultimately… I concede that we must have sang and drummed before we ever sewed or drew. Sculpture, on the other hand, is a weird one because of its relationship to our extensive tool construction throughout the geologic ages. And Vladimir Tatlin’s famous tower has suffused into later generations’ minds even without ever being built. What I’m saying is: Leonardo’s Mona Lisa has her power akin to Nat King Cole’s “Mona Lisa.”
A bee has a computer smaller than the head of a pin that is programed to build geometrically (advanced to us) structures. They have an enviable work ethic and if you mess with them they have little tempers, thus personality. Men's computers will never catch up with God's.
If you haven't discovered for yourself, learning by doing, that Time is (Theoretically) Everything, then the mechanism that is evident in Calculus, is going to remain "academic ignorance" as said in this talk. Eg BBT is precisely correct as an image of physical reality, and totally mind-blind in actual time-timing fact. This is deadly serious, disassociation disorder on the real-time universal scale. Ie Numerical Mathematical Disproof Methodology is the flipside of Elemental e-Pi-i sync-duration connectivity probability in transverse trancendental Number Line-of-sight superposition Condensates.., the superficial aspects of real-time @.dt, AM-FM holographic messaging. "God did it" is the ultimate Insanity of disconnected perceptions.., usually encountered by the general public when an Insurance Company refuses to pay for honouring a Contract because of the deliberate denial of difference between Law and Lore. (Religious/rigorous study of the Universe and dishonest disassociation of responsibility) Of course everyone wants to be accused as a Crackpot?? If you tell the honest truth you target yourself for those who deny it. (Related to Jonathan Swift quote..) Sums up the state of "Media". Absolutely agree that Calculus, continuous creation cause-effect connection, is real-time reality. I think of 3BLUE1BROWN tutorials as fundamental to understanding the basics of Mechanism, and only need a bit of Mentoring practice to fill out general visual comprehension.
33:00 one way we (humans) appear to be different is not just that we have a soul (animals have some level of soul?), not just that we are aware of our surroundings (plants use chemical signals..) is that we alone appear to have free will if to be aware, or opt to live in denial, of The One designer/creator aka G-d of Abraham. This is part of the incredible design of the physical universe, that at the highest levels of science, one can find a comfort zone, to either know Moshe Emes (see Pearlman YeC) or the materialistic approach, being a viable option.
42:00 yes free-will to be aware (of G-d of Abraham as described buy Moses) or not, is (from my limited perspective) helps answer Steven's question why the physical universe, and why based on math. keep in mind 'even a random operating system can be a design choice and so can retaining an override function', as we find (in Pearlman YeC) are part of some of the laws/forces of science.
Yeah, me again. 'God' in the title of so many books where it might be surprising? Marketing, my LiIttle Chickadees. Marketing. Only this and nothing more.
Brian - stop with the 'Only humans can ...'. AS far as you can usefully go is, 'On this planet, so far, and so far as we know, only humans have created calculus.' From which you'd infer ... what, exactly?
Should basic calculus education be “mandatory” in High School?
Not the way it is currently taught.
Not really necessary. However, we should stream off kids starting in high school.
I think at least an introduction should be , and give the students the chance of getting basic knowledge of main areas of math , number theory and geometry ...
Thanks good points
Yes although memorizing algorithms shouldn't necessarily be the goal of teaching calc.
This is three years late so it might just get stuck in the void, but maybe someone else in the same mental hole I find myself in sometimes can pull themselves out of it. I am a postdoc my research specializes in quantum physics. In particular quantum information science. Steven's statement on the advice he would give himself really strikes home for me about, "Don't worry about being the smartest." I feel I am in a similar situation where I see the brilliant people working around me on amazing problems and can feel I am not at the same level. I am transitioning to a tenure-track position where I will now start to build my own research program and the sentiment that, "love can go far" is just perfect and I will come back to that as I continue my career. I feel great about my work and really enjoy it when I can feel that love for it and not get bogged down that I am not publishing as much as others and not in one of the top journal. All this is to just say thank you to for this interview Brian and thank you to Steven for that wonderful comment.
Such a great interview, Brian. Prof. Strogatz's enthusiasm and humility are so infectious.
I agree David!
Great Great show Brian. Former UC Berkeley math student turned General Building Contractor (long story), but I still love following current events and luminaries, thanks for the show!!!
Lars. Thanks so much! *What was your favorite takeaway from this conversation?* _Please join my mailing list to get _*_FREE_*_ notes & resources from this show! Click_ 👉 briankeating.com/mailing_list.php
Looking forward to this, great choice of subject
This was a great conversation! As a big fan of both of you, this was a fantastic time. Thank you!
Glad you enjoyed it! Thanks very much Please join my mailing list; click here 👉 briankeating.com/list 📝 if you haven’t yet. *_And stay tuned for more._*
I was looking forward to this! Steven is indeed interesting guest!
Excellent interview! I’m picking up Steven’s book tomorrow. Just listened to one of his lectures at Yale. Thanks!
Excited about this talk🔥💥
Dr. Keating, please consider bringing David Albert to the podcast. It would be amazing!
Great interview! Thanks!
Another awesome interview from Dr.Keating UA-cam channel 👏
Thank you, Reza! Have a great weekend!
Really inspiring to listen to Steven! I have a lot books at this point that I want to read, but I have put 3 of his books in the basket 🙂
I really love this whole interview!! Thank you both!~~~
*Thanks so much! * **_Please join my mailing list to get *FREE_*_ notes & resources from this show! Click_ 👉 briankeating.com/mailing_list.php
Hey Steven, super interesting hearing you talk. I have ordered your book from Amazon. If you want more listeners for your podcast I would consider uploading your podcast on to UA-cam. Even if there is no video (like many of Sean Carroll's podcasts). I listen to all my podcasts on UA-cam, and barely ever watch the video. But it is more convenient to find them on UA-cam. AND UA-cam recommendation system could help introduce many new people to your podcast.
Keating, I don't blame you on missing out on the most important aspect of the infinite power of calculus, how mankind came to know of the power. It originated in India and the Muslims took it to Europe, where Leibniz and Newton found it speaks the words of divine design. Madhava's infinite series (first used in calculating pi) gave the first inkling of this divine power.
However, your inquisitiveness about entropy and Stevens coupling mystery, gave me a glimpse of the divine purpose (believer's apology), consider many particles in a box, if they clump together in one corner we say entropy is at minimum, as they spread throughout the box, we say entropy increases. With a knowledge of quantum gravity, we may unravel the secrets of clumping organic molecules (Steven's coupling/clumping) we can unravel the low entropy of life (ultimate purpose of the mind of god-infinite power of calculus). AI can never think, it is spellbinding that it is the job of humans to find how human consciousness entangle with cosmic consciousness.
Hey I can’t believe I caught you live!!
Great.
Pure enlightenment!! Awesome show!!
Much appreciated!
As a motion designer, the dimension of time is the reason I got into animation. This is an amazing conversation!
Thanks very much !
Versus being happy with just a “single” frame of a moment. There can be a romantic connection between a viewer and some visual art (image, picture, etc) Emotion can be manipulated through a sequence of events in time much easier than creating a single image.
You ask some fascinating questions Dr. Keating; I was especially interested when you asked him how he counts. In movies and TV, the inner workings of brilliant minds are conceptualized as equations and numbers flying across their field of vision (ex. A Beautiful Mind code-cracking scene). I think this perception both alienates people by leading them to believe they have to be gifted with some special way of thinking in order to solve hard problems, and undermines the years of hard work and education endured by those individuals. I think your question and Steven's answer elucidated that, in reality, great scientists and mathematicians think and count in essentially the same way we all do. Therefore it is something accessible to anyone willing to put in the work.
Thanks very much!! Have a great weekend!
UC that 3 and pi are close to 1 & 4. Good.
Dont forget to take into account the fact that your unhappiest kid has x potential for increase when they're at rock bottom, and your happiest has y potential for catastrophe...
Hi Brian. You mention about music that it has a linear character, while imagery is inherently two-dimensional in character. However, you can also attribute dimensionality in terms of how much *information* a recording device needs to store in order to reproduce with fidelity.
Color space is a three-dimensional space, making a picture a five-dimensional space. But as you know: human hearing does a complete fourier analysis. Hearing resolves superposition of multiple frequencies, up to a continuum of freqencies. Arguably music is infinite-dimensional. Of course: as demonstrated by audio-compression technology, human audio space is not actually infinite-dimensional.
One minute of MP3 compressed audio is about 1MB
One minute of 720p compressed video is also about 1MB
As a humanities nerd with math envy, I loved his book so much.
I’ve been wanting to relearn calculus so this is great!
This is the best book
I seem to remember (subject to correction) that Roger Penrose thinks consciousness' is non-computational - that it does something not capturable by a Turing machine. Maybe. But that doesn't permit the inference that whatever consciousness is, is un -physical. That conclusion would require a far stronger, and maybe different kind, of evidence. Thee's a tendency to equate 'don't know so far' with 'can't be true.'
Strogatz reminds me why I really like math and -ematicians!
Indeed. He is a charm!!
No AI could in a novel or original way replicate Alexander Grothendieck ‘s insights, or for that matter the insights of Grigori Perelman
I think fractal mathematics is under appreciated and ultimately more important to understanding the next level of reality past pure q mechanics . . .
try studying noncommutative geometry or quantum algebra. Look up Fields Medal math professor Alain Connes youtube talks on quantum music or music of the quantum sphere. thanks
Calculus is like arithmetic: symbols for equation changes. Make those rote. Can get lost in the pre-calc proving the intuitive leaps.
Blocking & tackling: what a short stop needs.
...fishing!?
The same way the AI figured out how to cheat in the game: makes the random jump that works.
...good/bad entropy sources.
Indiana flattened the new cases curve.
maybe the word nothing is easier to conceptualise than infinity
What was that segue about entropy, networks and happiness or melancholy? Holy smokes. Can't decide if it was genius or nuts?😁
*_maybe both?!_*
The big family conversation seems a bit biased in favor of wealthy families. A lot of the big poor families I grew up around seemed quite .. Hobbesian. In my particular family there was a lot of violence between the kids and adults, respectively.
Public schools can barely get students to pass geometry…how the Fu%# would Calculus be any different? The questions people should ask are why are kids not prepared when they enter high school?
Nice episode, Brian. Except, I believe you’re both wide of the mark in regard to visual art being less emotionally affective than music, sculpture, etc. And music's temporal nature is irrelevant. It’s quite contextual. e.g., David Kassan’s from-life paintings and holocaustic subject matter are extremely emotive. Alex Grey’s paintings speak the ineffable entheogenic experience. Art strangely has more breadth than music. However, music is closely tied to speech and our evolutional past with sound - not to mention its being a mechanical wave, while we’re acoustically baryonic. Images, though, are linked to our gestalt principles of perception. Also, many modern artists often made objects simply to designate the viewers’ experiences as the actual art piece, and not the objects. Hell, there’s art made specifically to make you feel uncomfortable - what’s a haunted house, but an anthropic fear sculpture in Minkowski space? Art only exists with time; even stale images. But ultimately… I concede that we must have sang and drummed before we ever sewed or drew. Sculpture, on the other hand, is a weird one because of its relationship to our extensive tool construction throughout the geologic ages. And Vladimir Tatlin’s famous tower has suffused into later generations’ minds even without ever being built. What I’m saying is: Leonardo’s Mona Lisa has her power akin to Nat King Cole’s “Mona Lisa.”
This made me wanna go back to learning, but heh... the immortality thing has to be fixed first :D
Lol!
Music reveals vision and is therefore, four dimensional.
Can you elaborate pls
A bee has a computer smaller than the head of a pin that is programed to build geometrically (advanced to us) structures. They have an enviable work ethic and if you mess with them they have little tempers, thus personality. Men's computers will never catch up with God's.
Thank you,
I see that all scientific podcasters are appearing on each others podcasts
true....... *very true*
Log rolling is nothing new . . . don’t be surprised.
If you haven't discovered for yourself, learning by doing, that Time is (Theoretically) Everything, then the mechanism that is evident in Calculus, is going to remain "academic ignorance" as said in this talk. Eg BBT is precisely correct as an image of physical reality, and totally mind-blind in actual time-timing fact.
This is deadly serious, disassociation disorder on the real-time universal scale.
Ie Numerical Mathematical Disproof Methodology is the flipside of Elemental e-Pi-i sync-duration connectivity probability in transverse trancendental Number Line-of-sight superposition Condensates.., the superficial aspects of real-time @.dt, AM-FM holographic messaging.
"God did it" is the ultimate Insanity of disconnected perceptions.., usually encountered by the general public when an Insurance Company refuses to pay for honouring a Contract because of the deliberate denial of difference between Law and Lore. (Religious/rigorous study of the Universe and dishonest disassociation of responsibility)
Of course everyone wants to be accused as a Crackpot??
If you tell the honest truth you target yourself for those who deny it. (Related to Jonathan Swift quote..) Sums up the state of "Media".
Absolutely agree that Calculus, continuous creation cause-effect connection, is real-time reality.
I think of 3BLUE1BROWN tutorials as fundamental to understanding the basics of Mechanism, and only need a bit of Mentoring practice to fill out general visual comprehension.
if you really wanted to attend there you might have applied a 3rd time :)
5:55 Ten utterances of creation in proto-Hebrew (Edenic) so alpha numeric so some type of math equations..
Nice
33:00 one way we (humans) appear to be different is not just that we have a soul (animals have some level of soul?), not just that we are aware of our surroundings (plants use chemical signals..) is that we alone appear to have free will if to be aware, or opt to live in denial, of The One designer/creator aka G-d of Abraham.
This is part of the incredible design of the physical universe, that at the highest levels of science, one can find a comfort zone, to either know Moshe Emes (see Pearlman YeC) or the materialistic approach, being a viable option.
42:00 yes free-will to be aware (of G-d of Abraham as described buy Moses) or not, is (from my limited perspective) helps answer Steven's question why the physical universe, and why based on math.
keep in mind 'even a random operating system can be a design choice and so can retaining an override function', as we find (in Pearlman YeC) are part of some of the laws/forces of science.
excellent interview and guest. shared.
Maths wasn't interesting until I found calculus.
Great subject...but unfortunately very little calculus
Yeah, me again. 'God' in the title of so many books where it might be surprising? Marketing, my LiIttle Chickadees. Marketing. Only this and nothing more.
God "spoke" to Faraday and he didn't know Calculus.
Brian - stop with the 'Only humans can ...'. AS far as you can usefully go is, 'On this planet, so far, and so far as we know, only humans have created calculus.' From which you'd infer ... what, exactly?