@@leif1075 yea, the weil conjectures are mad intense; entire fields of research mathematics were revolutionized in the mid 20th century to actually get a proof of them (and Sid could be angling to comprehend them because the revolution really was explicitly driven by them, so they're mad important), and even now at best you're either gonna a) spend a whole graduate topics course actually building up the machinery to actually prove them or b) take (or self-learn) a couple semesters of graduate coursework that already assume a couple semesters of graduate coursework, after which you can begin attempting to slough through the proofs
@@josephhlavinka7732 Slough through..why do it then..sounds awful and not worth it...just curiosity..that doesn't seem like enough always..and I wonder what makes them so hard..
@@leif1075 They're very much worth working on precisely because proving them is so difficult, as the mathematical machinery that people invented to tackle that difficulty has really pushed the boundaries of mathematics. That machinery nowadays finds applications in many areas from machine learning to string theory to biochemistry
@ Anican You mean you don'tlike calculus..which is what Lurie seems to imply he doesnt like it ejther..? And why and how was your mind blown by probability..I'm reslly curious..i find probability very unintuitive..
Fully agree. Let’s not forget that math is anthropocentric, and so every topic in math can be traced back to ideas arising from problems in our physical world. And in that sense, calculus is a lot closer to bed than number theory because it has a lot of familiar, intuitive geometric ways to reason about it and be applied to.
I myself go for a concept over direction. I will give a example. I once thought of a situation of what would be the best sandwich, which through some harambie sort of events lead me to a equation that I can only describe as more beautiful than I thought possible. Then again there were several contributing factors. Do you see the edge of the null. Star trek deep space 9 the smart ones. Nope no engendering just ,random, beautiful,, right,, just for context. There solution. My brain just did that thing you know from when you learn something. like times tables. We all find those hard until our brain does that ting where we just know.... to time..and . perception then it well it went far enough where I know you will see this . Which is all I need to get my point across. I am just trying to help.... What would you like to know , what more would you have me do.. linch pin mostly instinctual. people ginuely like you when what you feel like you is you. I relate. There are things bigger than us. This is a approximation of what I got back from all of you that is why. At least I took the time to... To show you something beautiful. not you the hole. ya we will get there. give it time.
This 2-minute lecture took an abrupt right turn at Albuquerque at 1:20. It set you up for an example of algebraic topology then hit you with some non-sequitur gibberish. Guess I’m gonna have to drop the course. 😆
yeah, essentially it's just abstract and much more general, most people find it hard because they usually think of math being about computations and think focusing much on abstractness is philosophy, while really mathematics is a symbolic\diagramatic language where abstract objects are the words and abstract concepts are the sentences
I think it is a bad idea,the idea of the school system is to actually teach people something.That's why globally the math scores are failing.That's why a lot of people don't know math or use math.We need as a society to have more people to know math,not less.University should be less about choosing the ,, right people" for something there are no ,,right people" . The problem is with knowledge being associated with productivity and industry, that's why selection is made
Weil Conjectures comprehension is certainly one of my goals prior to passing away.
Why if i may ask? Amd are yheu hard to understand ?
@@leif1075 yea, the weil conjectures are mad intense; entire fields of research mathematics were revolutionized in the mid 20th century to actually get a proof of them (and Sid could be angling to comprehend them because the revolution really was explicitly driven by them, so they're mad important), and even now at best you're either gonna a) spend a whole graduate topics course actually building up the machinery to actually prove them or b) take (or self-learn) a couple semesters of graduate coursework that already assume a couple semesters of graduate coursework, after which you can begin attempting to slough through the proofs
@@josephhlavinka7732 Slough through..why do it then..sounds awful and not worth it...just curiosity..that doesn't seem like enough always..and I wonder what makes them so hard..
@@leif1075 They're very much worth working on precisely because proving them is so difficult, as the mathematical machinery that people invented to tackle that difficulty has really pushed the boundaries of mathematics. That machinery nowadays finds applications in many areas from machine learning to string theory to biochemistry
@@kreitzerova2371 well as long as it's mostly fun and and enjoyable though I hope?
Man "Higher Algebra" and "Higher Topos Theory" have been in my list of books to read once I'm in some kind of a long term comfort zone.
I love him
I totally agree with you on the statement about college calculus. I'm lucky enough to have hanged onto math until probability, then my mind was blown.
Yep , I see evidence that you are a captain bluto mind- pretzel.
@ Anican You mean you don'tlike calculus..which is what Lurie seems to imply he doesnt like it ejther..? And why and how was your mind blown by probability..I'm reslly curious..i find probability very unintuitive..
Continuous Probability requires calculus as a pre-requisite
What about probability blew your mind??
Omg speak on it. Idk how folks don't get this
GREAT GUY
Stop going gaga for him upto a homotopy.
Who wrote the music in this?
The Walk by Split Phase (check out the full description under the video).
@@FieldsInstitute Oh thanks so much I didnt see it.
Affected.
If the first college math course had been number theory instead of calculus I would not have pursued a math education.
Fully agree. Let’s not forget that math is anthropocentric, and so every topic in math can be traced back to ideas arising from problems in our physical world. And in that sense, calculus is a lot closer to bed than number theory because it has a lot of familiar, intuitive geometric ways to reason about it and be applied to.
I myself go for a concept over direction. I will give a example. I once thought of a situation of what would be the best sandwich, which through some harambie sort of events lead me to a equation that I can only describe as more beautiful than I thought possible. Then again there were several contributing factors. Do you see the edge of the null. Star trek deep space 9 the smart ones. Nope no engendering just ,random, beautiful,, right,, just for context. There solution. My brain just did that thing you know from when you learn something. like times tables. We all find those hard until our brain does that ting where we just know.... to time..and . perception then it well it went far enough where I know you will see this . Which is all I need to get my point across. I am just trying to help.... What would you like to know , what more would you have me do.. linch pin mostly instinctual. people ginuely like you when what you feel like you is you. I relate. There are things bigger than us. This is a approximation of what I got back from all of you that is why. At least I took the time to... To show you something beautiful. not you the hole. ya we will get there. give it time.
you don't get it duality is a mirror. ohoooooooo
He's so cute !
He's a genius, he got perfect score in math Olympiad won gold in high school
This 2-minute lecture took an abrupt right turn at Albuquerque at 1:20. It set you up for an example of algebraic topology then hit you with some non-sequitur gibberish. Guess I’m gonna have to drop the course. 😆
Is he high on something? He has a striaghtforward and calm way to presenting and debunking things.I have seen him on IAS.
Interesting, not as illuminating.
modern mathematics not so hard!
yeah, essentially it's just abstract and much more general, most people find it hard because they usually think of math being about computations and think focusing much on abstractness is philosophy, while really mathematics is a symbolic\diagramatic language where abstract objects are the words and abstract concepts are the sentences
Yeah right lol if modern math is not so hard then solve at least one of the millennium problems
You're a funny guy. 😂
Then which math is hard?
I feel his pain. The one time i got a girl to come home with me and my bros i couldn't get hard.
I like that it starts with calculus..... because it weeds out the weak.
😁😁
I think it is a bad idea,the idea of the school system is to actually teach people something.That's why globally the math scores are failing.That's why a lot of people don't know math or use math.We need as a society to have more people to know math,not less.University should be less about choosing the ,, right people" for something there are no ,,right people" . The problem is with knowledge being associated with productivity and industry, that's why selection is made