Yeah, the greatest Russian mathematician.
How Euler Did It, by Ed Sandifer
91–100 of 111 posts
Re: How Euler Did It, by Ed Sandifer
#92Is it possible that these prolific geniuses had smart people working for (or with) them, while taking most credit? I could imagine that in 300 years time people think that Elon Musk single-handedly invented the Turing machine, at the age of 16, during a weekend, while reading Hacker News. How would one go about disproving such an hypothesis? I've had similar doubts about Leonardo da Vinci, but I'm afraid Euler was ac…
There's ample evidence from the time that rather than take credit, as _many_ unethical scientists have tried (*cough Newton), Euler was quite the opposite. I think one of his strengths was in his prolific collaborations actually, or taking up questions others sent to him which he did not need to work on, but would out of curiosity or decency. I get why someone not familiar with him may think this, but when I think of…
Re: How Euler Did It, by Ed Sandifer
#93Earlier quoted context omitted.
I think Swiss. He was born in Basel. [1] https://en.wikipedia.org/wiki/Leonhard_Euler
He worked in Russia more than in any other country and died in St Petersburg being a Russian citizen.
Re: How Euler Did It, by Ed Sandifer
#94It's interesting to me that I can't think of anyone remotely comparable to Euler in the public consciousness today. Even the work of someone like Erdos seems very esoteric by comparison and also was largely done in collaboration. Was Euler just born at the right time and picking all the low hanging fruit? Or maybe his immense creative production was a unique consequence of wealth plus limited distractions? I'm inclin…
Re: How Euler Did It, by Ed Sandifer
#95Re: How Euler Did It, by Ed Sandifer
#96Earlier quoted context omitted.
Part of the problem is he wrote so much it has taken a while to go through it all. I believe the "Opera Omnia" project to publish all his works has been going for over a hundred years and is just about getting to the end now. So I would expect there's a huge amount that just hasn't been fully appreciated/digested.
How is this humanly possible? Was Euler even an order of magnitude faster at producing new math than, say, Gauss or von Neumann?
Re: How Euler Did It, by Ed Sandifer
#97Earlier quoted context omitted.
I always stress how our public education is broken since it can't handle extreme talent very good. Important breakthroughs that advance one or more fields extremely or shifting paradigms completely, were done or prepared by whizzkids. In these times, we need every whizzkid we can get.
No system will handle an Euler well. It’s best to recognize them and move them out of the system.
Re: How Euler Did It, by Ed Sandifer
#98I have read a few of these and enjoyed them greatly. Reading them you realise that Euler really did invent a huge swathe of mathematics in use today. In particular I read this one: http://eulerarchive.maa.org/hedi/HEDI-2009-02.pdf And I realised that Euler had found two formulae for Pi which can be used to calculate any hex digit of Pi. I wrote this up in a paper: "In 1779 Euler discovered two formulas for π which ca…
Re: How Euler Did It, by Ed Sandifer
#99Hmmm... our corporate firewall is blocking the connection as it says the SSL cert is "insecure". Something tells me this is BS, but anyone got any ideas why it might say this?
The certificate is signed using a SHA-1 signature, which is considered insecure by all major browsers afaik.
Although, inspecting the certificate also gives me validity:
Not After Fri, 05 Dec 2014 12:00:00 GMT
Which is slightly out of date.Even the CA cert it shows me has
Not After Sun, 03 Apr 2022 00:00:00 GMTRe: How Euler Did It, by Ed Sandifer
#100Earlier quoted context omitted.
You're basically saying the system is obsolete when society reaches a point, where it needs no more mediocre generalists and only excellent specialists. I wouldn't be so pessimistic.
That's the least charitable interpretation, I think. A more charitable read is that no system should be one-size-fits-all, so move outliers to specialized subsystems.
I don't think it's that complex. My personal premises are
* if the kid doesn't like to get up and go to school or is too tired over longer periods, the school is doing something wrong, not the kid. * if there are A LOT of kids like this, the school authority is doing something wrong (and so on, up to government) * an older kid needs support on every topic at any time when interest arises. It's the kids' choice not the schools'. * learning at school must be fun, at least 90% of the time.
That way whizzkids are easily detected, will be less frustrated and thus perform better.
I got some good example anecdotes but better won't "textwall" here :-)
Just imagine a world, where Einstein would get optimum support from young age so he would start professional physics years earlier.
Or one where he didn't go to the patent office but one where he worked in some factory or other place, not finding the spare time he needed to do physics.
Way too much luck involved if you ask me.