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Math is still catching up to the genius of Ramanujan

quantamagazine.org

351–360 of 447 posts

Re: Math is still catching up to the genius of Ramanujan

#351

The stories of mathematicians like Srinivasa Ramanujan, who claimed to have derived complex partitions and identities in dreams, have always captivated me. It's as if their minds were tapping into some hidden reservoir of knowledge. I'm curious what drives these intuitive leaps. Was Ramanujan's brain quietly processing patterns during sleep, leveraging its default mode network in ways we're still struggling to unders…

https://en.wikipedia.org/wiki/List_of_works_based_on_dreams

That's a very interesting article. Thank you!

Re: Math is still catching up to the genius of Ramanujan

#352
post #159

Earlier quoted context omitted.

If you want to understand how human potential was wasted in old world, Ramanujan belongs to a caste in India that is only caste that is supposed to be educated (Representing probably Ramanujan short life itself is a loss to the world, Imagine how many Ramanujan's were ignored where there is no G.H. Hardy and what about Ramanujans in the other 95%?

[dead]

The cited book has no information on how the surveys themselves were conducted. The book is an overall romanticization of pre-colonial india, and frequently indulges in nostalgia.

The following books have a good overview of education&caste in india.

A. L. Basham, The Wonder That Was India

Gail Omvedt, Understanding Caste

Re: Math is still catching up to the genius of Ramanujan

#353

Earlier quoted context omitted.

> The other version in the West is he moves to rural Montana and sends bombs through the mail. There might be a middle ground between the two?

I think they're talking about specifically the Unabomber, who was known to be a math genius too.

I'm aware of that.

Re: Math is still catching up to the genius of Ramanujan

#354
post #253

Earlier quoted context omitted.

This is entirely the fault of the Indian Education System and Popular Media. The current generation knows almost nothing about these Indian Greats. In order to rectify the status quo; 1) Everybody should get the monthly magazine Science Reporter published by National Institute of Science Communication and Policy Research (NIScPR), Council of Scientific and Industrial Research (CSIR), New Delhi, India. which gives a o…

To this excellent list, I would humbly add Bhavana: https://bhavana.org.in/

Two More;

a) Resonance : Journal of Science Education published by Indian Academy of Sciences - https://www.ias.ac.in/Journals/Resonance_Journal_of_Science_...

b) Science India magazine published by Vijnana Bharati- https://scienceindiamag.in/

Re: Math is still catching up to the genius of Ramanujan

#355
My education prepared me to make millions of dollars by the time I was in my mid-forties. I learned that if I take every task seriously and strive to do the absolute best I can on that task, no exceptions, regardless of how I personally felt about a subject or an assignment, I would end up being an employee that saw to it that anything I did, I did to the absolute best of my ability.

Not every task ended up being worth doing, but some sure did. And regardless, more important than any one individual tasks, I earned a reputation with management. This in turn resulted in a steady stream of bonuses, stock grants, and promotions. I suppose I was doubly-fortunate to have focused my efforts in the tech industry from the early 90's onward. You have to be really unlucky for nose-to-the-grindstone efforts in FAANG companies to not work out pretty well for you from 2003-ish until today.

With continued good health I can look forward to another 20 or 30 years of life, where I get to do whatever I want with my time because I earned so much money being content to conform to whatever my employers required of me. Nobody will remember my name, but that's okay with me, because I won't either.

Re: Math is still catching up to the genius of Ramanujan

#356

Earlier quoted context omitted.

6 courses in your senior year doesn't seem like a great solution. If you figure you take Math, Science, History, English in your senior year, Then take 2 electives, that is basically a full schedule already. Short of replacing one of the poor grades with a freebie like Gym, I am not seeing where that solves the issue. This might be a difference in US and Canadian education, so maybe 6 courses means something differen…

A mathematics-focused student in Ontario could take Calculus & Vectors, Advanced Functions [1], Computer Science, and Physics—the first two courses should be straightforward for this student. Though Computer Science and Physics are distinctly different from the mathematics courses, these are still directly useful for a mathematics student to learn—the problem-solving skills should also carry over. Key mathematical di…

Interesting. So it seems that from reading this, Canada, or at least Ontario, has a lot more electives at grade 12 than the US. So this might be more like the UK with their A-levels. In the US a highly motivated student might take say 4-5 AP courses, which would essentially count as their freshman year at university. But they would be unlikely (short of going to a few dedicate highschools) of having more than maybe 2 math courses in a single year.

Re: Math is still catching up to the genius of Ramanujan

#357
post #176

Earlier quoted context omitted.

A few points on this: - How and when would you know a subject doesn't click? In my case German (my first language) and English sucked for roughly 8 years. I ended school with A in both and was the only student in my school without a single mistake in my exam. - School gives you good grades if you managed to learn the topics at hand. Being able to learn what is needed or what you are bad at — not what you want and are…

I mean, just as a counter-note: I utterly hated every second of a multitude of subjects, and indeed now I am 37 and I never needed them and was entirely correct about what I would require later.

This is also part of my point, e.g. having learned Italian for years was exhausting and mostly pointless when I did it, and nowadays I can somewhat understand it whenever I am in Italy, which is maybe every two years. Was that worth it for the level of skill I gained: probably not.

But I wouldn't be able to tell if some of the mental agility I have today (beyond languages) could be attributed to the fact that I was exposed to this language which differs from my first languages in multiple ways. The lessons you may take away from any given subject is not necessarily limited to its raw content.

This is a quite known topic in educational sciences, e.g. when answering the question why it still makes sense to teach kids how to do maths without a calculator in an age where you have it always in your pocket — that is because it (A) forms an intuition about mathematical correctness and (B) logical and numerical thinking gets trained as an side effect.

Ofc all of that doesn't happen when you are unlucky enough to have had bad teachers, but that wasn't the argument.

Re: Math is still catching up to the genius of Ramanujan

#358
post #334

This thread is a good example of one of the perhaps overlooked reasons it can be hard to discuss education in our societies - any attempt at making a general point, or a meta-observation of some kind, quickly gets swallowed in a massive influx of personal anecdotes about things that happened to people during their education. Maybe there are other topics where the same phemonen exists. I'm not sure if off the top of m…

Parenting.

This is the long and short of it. Education doesn’t replace happy, 2-parent homes.

Edit: or happy, one-parent homes. I just have an inkling it is good for children to see a contrast of parents, not just one parent.

Re: Math is still catching up to the genius of Ramanujan

#359
post #176

Earlier quoted context omitted.

A few points on this: - How and when would you know a subject doesn't click? In my case German (my first language) and English sucked for roughly 8 years. I ended school with A in both and was the only student in my school without a single mistake in my exam. - School gives you good grades if you managed to learn the topics at hand. Being able to learn what is needed or what you are bad at — not what you want and are…

In my very limited experience as an educator (I worked as a teacher for two years at the trade school level), I completely agree with your excellent comment. I would argue that sometimes students are right when they complaint about a subject being useless or obsolete (e.g. our network professor told us everything about the OSI protocol stack in great detail, and barely touched TCP/IP), but most of the time they don't…

Yeah I mean, I can come up with 1000 lessons that would be utterly usless to 999 out of 1000 students in practise — but that wouldn't stop me from teaching those 1000 lessons in a way that really hooks those students to the topics discussed.

On the flipside you can take the most essential, practical and important topic and deliver it with such dullness that everybody falls asleep.

The first step in teaching (IMO) is to make people interested to hear what is being said. If your subject is useless and boring to most people you have to find a way to make it useful and interesting to them. This requires rethorical and social skills, good presentation skills and a deep understandingnand interest for the subjects to be thought.

In reality most subjects have interesting bits, but is the task of the teacher to make them relate to the world. If your prof thougth you about the OSI protocol stack so long everybody forgot its practical applications and how it binds together with higher level stuff, that is certainly knowledge, but it doesn't help you making it part of your understanding of the world.

Re: Math is still catching up to the genius of Ramanujan

#360

The stories of mathematicians like Srinivasa Ramanujan, who claimed to have derived complex partitions and identities in dreams, have always captivated me. It's as if their minds were tapping into some hidden reservoir of knowledge. I'm curious what drives these intuitive leaps. Was Ramanujan's brain quietly processing patterns during sleep, leveraging its default mode network in ways we're still struggling to unders…

As the article mentions ,we was familiar with the literature. He communicated with other mathematicians, read papers, and submitted in journals while in India. he was not some hermit in a cave or something. I think this claim that he just dreamed the results part of mythology that has been built around him. From what I read, he he did a lot of the grunt work deriving these formulas but only published the final result…

This myth of him just coming up with results without all the hard studying he did is often repeated. His results are made to be seen as impossibly hard and his impact is overstated. Galois solved a problem that was open for 350 years, he made significant contributions to new branches of math and he died at 20. I don’t like the whole ranking thing, but with all the myths surrounding Ramanujan I feel compelled to say Ramanujan is overrated and Galois is by far the more gifted and accomplished to just name one person.
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