SERVING THE QUANTITATIVE FINANCE COMMUNITY

 
User avatar
bearish
Posts: 5632
Joined: February 3rd, 2011, 2:19 pm

Re: Philosophy of Mathematics

November 29th, 2019, 10:00 pm

I think Terry Tao is a budding mathematical hero. 
 
User avatar
katastrofa
Posts: 9341
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

Re: Philosophy of Mathematics

November 30th, 2019, 9:36 am

No idea who's Terry Tao, but I witnessed the cult of Stefan Banach.
 
User avatar
Collector
Posts: 4651
Joined: August 21st, 2001, 12:37 pm

Re: Philosophy of Mathematics

November 30th, 2019, 12:03 pm

math have their heroes, but slightly different than physics heroes

" "I'm not interested in money or fame; I don't want to be on display like an animal in a zoo." Perleman

so quite silent (slightly "nerdy") heroes we can possibly say.

physicist heros more outspoken:

Mathematican versus Physicists
 
User avatar
bearish
Posts: 5632
Joined: February 3rd, 2011, 2:19 pm

Re: Philosophy of Mathematics

November 30th, 2019, 3:13 pm

No idea who's Terry Tao, but I witnessed the cult of Stefan Banach.
He was awarded the Fields Medal in 2006 at the age of 31 "for his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory", and has continued to branch out ever since: 

https://www.math.ucla.edu/~tao/preprints/

And, by all accounts I have come across, he is a nice guy.
 
User avatar
katastrofa
Posts: 9341
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

Re: Philosophy of Mathematics

December 1st, 2019, 12:26 pm

Thanks and apologies for my ignorance. My mathematical culture was higher when my sister lived in London (she's a mathematician).
(It seems Tao should get a special reward for the number of collaborations!)
 
User avatar
Cuchulainn
Posts: 62424
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

Re: Philosophy of Mathematics

December 1st, 2019, 6:21 pm

No idea who's Terry Tao, but I witnessed the cult of Stefan Banach.
Indeed, Banach was one of the major lights of Functional Analysis. Wasn't he a chain smoker and drank in bar (in Kracow??)
 
User avatar
katastrofa
Posts: 9341
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

Re: Philosophy of Mathematics

December 1st, 2019, 7:27 pm

Oh, c'mon! You know it was in Lviv, The Scottish Café - still open! He had no equal in maths, but also drinking cognac (but he out-drunk the strongest Russian heads), smoking and romancing with young women. Some of these must have killed him.
 
User avatar
Cuchulainn
Posts: 62424
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

Re: Philosophy of Mathematics

December 4th, 2019, 11:22 am

Lagrange is #1.
 
User avatar
Cuchulainn
Posts: 62424
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

Re: Philosophy of Mathematics

December 4th, 2019, 11:23 am

Lagrange is #1.
Poincare was a polymath.
 
User avatar
Cuchulainn
Posts: 62424
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

Re: Philosophy of Mathematics

December 17th, 2019, 9:10 pm

From LI

Folks, machines do not, "learn." Let's endeavor to stop using that word. It has a very specific meaning in Psychology. They just make, "adjustments," shall we agree to say? They certainly do not even come close to imitating the learning process in humans, and thankfully they never will!

And they don't, "think," either. Time to adjust our use of these terms.
 


i.e. less handwaving, more precise mathematical definitions.
 
User avatar
Alan
Posts: 10215
Joined: December 19th, 2001, 4:01 am
Location: California
Contact:

Re: Philosophy of Mathematics

December 17th, 2019, 10:32 pm

Physicists and mathematicians

The former tend to have their heroes, mathematicians not. Why?

Are there no more (cult) heroes and even if there were, would mathematicians even care?

I think I know how mathematicians tick, but it would be cool to know what rocks the boat for physicists?

Genuinely interested.

Feynman was very good at explaining what rocks the world for him -- and many physicists generally. 
 
User avatar
katastrofa
Posts: 9341
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

Re: Philosophy of Mathematics

December 17th, 2019, 11:58 pm

Feynman was such a majadero. That or his pseudo-mathematical derivations of negative probabilities - like a Monte Carlo discovery generator, he occasionally said something which turned out to be right, at least approximately (e.g. our quantum computers have nothing to do with his idea, but he's still cited in every related text).

Regarding ML, many psychologists make career out of shouting that machines can't learn and never will. I think the results in RL are impressive and sooner or later they will realise learning as psychologists understand it. Using Feynman's catchy phrase, they are now at the level of a cargo-cult learning. I'd say they are now at the level of Leonardo da Vinci's flying machine - we need a plane. Termodynamics. New science. You get it? I'm sorry, I'm falling asleep.
 
User avatar
Cuchulainn
Posts: 62424
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

Re: Philosophy of Mathematics

December 18th, 2019, 12:32 pm

With maths, it's more like a bombshell.

www.youtube.com/watch?v=BaKyvr4ar1Q
 
User avatar
Cuchulainn
Posts: 62424
Joined: July 16th, 2004, 7:38 am
Location: Amsterdam
Contact:

Re: Philosophy of Mathematics

December 18th, 2019, 12:40 pm

Physicists and mathematicians

The former tend to have their heroes, mathematicians not. Why?

Are there no more (cult) heroes and even if there were, would mathematicians even care?

I think I know how mathematicians tick, but it would be cool to know what rocks the boat for physicists?

Genuinely interested.

Feynman was very good at explaining what rocks the world for him -- and many physicists generally. 
Reasoning by analogy is dangerous because physics insights (e.g. negative probabilities) do not always work in mathematics. But so many researchers accepted his comments as gospel. How many silly discussions did we not have on this forum?

TBH, Feynman turns me off.
 
User avatar
Alan
Posts: 10215
Joined: December 19th, 2001, 4:01 am
Location: California
Contact:

Re: Philosophy of Mathematics

December 19th, 2019, 5:24 am

I think Feynman is great. But, personality aside, his main achievement was his diagram approach to Quantum Electrodynamics (QED) and general quantum field theory. His diagrammatic 'cookbook' for quantum field theory made the subject accessible to not just a half-dozen experts, but graduate students -- so ten's of thousands. If he'd done nothing after that, he would still be considered a giant in the field for that achievement. 

Image 
ABOUT WILMOTT

PW by JB

Wilmott.com has been "Serving the Quantitative Finance Community" since 2001. Continued...


Twitter LinkedIn Instagram

JOBS BOARD

JOBS BOARD

Looking for a quant job, risk, algo trading,...? Browse jobs here...


GZIP: On