Fields Medal- incentive of dying young

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Discussion Overview

The discussion revolves around the motivations behind pursuing mathematics, particularly in relation to the Fields Medal and its implications for young mathematicians. Participants explore whether the prize serves as an incentive that drives mathematicians to extreme dedication, potentially at the cost of their well-being, and whether contemporary motivations differ from those in the past.

Discussion Character

  • Philosophical exploration
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants question whether the Fields Medal incentivizes young mathematicians to overexert themselves, suggesting that historical motivations for mathematics may differ from current ones.
  • Others argue that the Fields Medal is not a significant financial incentive, emphasizing that fame and prestige are more relevant motivations.
  • A participant expresses a preference for the Abel Prize due to its lack of age restrictions, indicating a different perspective on recognition in mathematics.
  • Several contributions highlight a mix of motivations for studying mathematics, including addiction, love for the subject, competitiveness, and the desire for recognition.
  • One participant reflects on the joy of understanding mathematics through original works rather than standard textbooks, suggesting a deeper appreciation for the subject's beauty.
  • There is a discussion about Robert Aumann's comments on knot theory, with participants questioning the implications of his statement regarding its usefulness and his personal engagement with the topic.
  • Another participant shares a personal journey of evolving attitudes toward the usefulness of mathematics, indicating a shift towards appreciating broader applications.

Areas of Agreement / Disagreement

Participants express a range of views on the motivations for studying mathematics, with no clear consensus on whether the Fields Medal serves as an incentive for extreme dedication or if it is primarily about fame. The discussion remains unresolved regarding the implications of Aumann's remarks on knot theory and its applications.

Contextual Notes

Some statements reflect personal experiences and evolving perspectives on the value of mathematics, while others highlight the complexity of motivations that may not be universally applicable. The discussion includes references to historical figures and their influence on contemporary views, which may not be fully explored.

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is the Fields Medal actually an incentive for young mathemticians to dedicate all of their guts to maths and thus die out of energy?

i'm a little bit philosophizing here, but back then when the prize just started, those who loved maths didn't do it for the money, but can we say that today young mathemticians do maths because of love or love of money?
:smile:
 
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Considering how very few mathematicians win the Field's medal- or even think they have a chance of winning it- I'd say "NO".
 
if i were to have a chance of winning any prize, it would be abel prize, because i think there isn't any age restriction in this prize, is there?
 
loop quantum gravity said:
is the Fields Medal actually an incentive for young mathemticians to dedicate all of their guts to maths and thus die out of energy?
i'm a little bit philosophizing here, but back then when the prize just started, those who loved maths didn't do it for the money, but can we say that today young mathemticians do maths because of love or love of money?
:smile:

There's really very little money associated with the Fields Medal. I think it's the fame and prestige that matters in this case.
 
Treadstone 71 said:
There's really very little money associated with the Fields Medal. I think it's the fame and prestige that matters in this case.
it is always about fame, isn't it?
:cool:
 
Someone who goes into mathematics for fame and/or money is just plain stupid, hence will not go anywhere.

We don't study mathematics because we love it either. We study it because we are addicted! :biggrin:
 
I have been motivated as a younger person, by several motives, sheer addiction perhaps, love and enjoyment of thinking about math, desire to be famous, competitiveness with other clearly better matrhematicians, need to earn a living, earn the praise of teachers, enjoyment of talking about or reporting on my resuklts with people I want the good opinion of, simple desire to forget the world of cares and strife.
there is also learning and doing mathematics: learning is accompanied with, and motivated by, mainly appreciation for beautiful insights and concepts, while doing is an absolute rush of adrenalin, joy, pride, and pleasure, worth years of effort to experience.

to some extent this rush accompanies an epiphany of understanding that can come from appreciating someone else's work, as say in reading and grasping works of Riemann, or of Fields medalists. Recently I have felt this joy at understanding even old insights of the earliest Greeks. It is found more when reading original works of great mathematicians, almost never in reading standard textbooks, which are either dumbed down consciously by the author, or unconsciously by the limitations of that author.


e.g. i have learned more about ode, by reading a few pages of the ode book by arnol'd than ever before in my life from taking it in school or teaching it from standard texts.
 
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i can't say i love maths or physics.
maths and physics are really the fields that intrigue me, as for example, now they are airring on eurosport, britain's snooker championship, i know that this kind of sport is all about geometry and physics, and that way i can understand the tactics of the game better. (not that I'm that good player, but at least theoretically i am).
(-:
 
JasonRox said:
We don't study mathematics because we love it either. We study it because we are addicted! :biggrin:
Like this years Economics Laureate Robert Aumann said on a TV programme about Knot Theory...(may not the be exact) "I did it for it's sheer uselessness!" :biggrin:
 
  • #10
In what sense is Aumann talking about knot theory? Did he do something in it at its inception? Or is he talking about studying it at some point recently? If the latter it is disingenuous to say that he did it because it is useless: plenty of 'practical' uses have been found in theoretical physics, so it isnt' an entirely useless subject. Of course if he did it before the uses became apparent that is another thing. Just wondering.
 
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  • #11
matt grime said:
In what sense is Aumann talking about knot theory? Did he do something in it at its inception? Or is he talking about studying it at some point recently? If the latter it is disingenuous to say that he did it because it is useless: plenty of 'practical' uses have been found in theoretical physics, so it isnt' an entirely useless subject. Of course if he did it before the uses became apparent that is another thing. Just wondering.

Even so, does it really matter that it has applications?

I couldn't careless whether or not it can be applied.
 
  • #12
What? Boy, did you get hold of the wrong end of the stick.

I merely want to know what Aumann meant, since by implication either he is ignorant of knot theory's applications (unlikely), or he is someone who did *something* in it at the beginning before the applications became apparent (more likely). I've not heard of him (my bad) so if it's the latter case I'd like to know if he is merely talking about studying it in the sense of an undergraduate or doing research in it (and just because he's an economics laureate means nothing; so was Nash).
 
  • #13
matt grime said:
What? Boy, did you get hold of the wrong end of the stick.

I merely want to know what Aumann meant, since by implication either he is ignorant of knot theory's applications (unlikely), or he is someone who did *something* in it at the beginning before the applications became apparent (more likely). I've not heard of him (my bad) so if it's the latter case I'd like to know if he is merely talking about studying it or doing research in it (and just because he's an economics laureate means nothing; so was Nash).

Sorry, about that.

You're right about that.

I apologize for my misunderstandings.
 
  • #14
matt grime said:
In what sense is Aumann talking about knot theory? Did he do something in it at its inception? Or is he talking about studying it at some point recently? If the latter it is disingenuous to say that he did it because it is useless: plenty of 'practical' uses have been found in theoretical physics, so it isnt' an entirely useless subject. Of course if he did it before the uses became apparent that is another thing. Just wondering.
He was working on it during the early days of the theory, of course. He also added that his grandson, who was in his second year at med school, wanted him to explain this stuff since it had things to with DNA, and his prof. wasn't very good at doing that. :biggrin:
 
  • #15
i used to brag i did not care whether math ja=had any use, and actually i didn't, but i was only copying g.h. hardy's famous remark.

and it stunted my growth to some extent, as great mathematicians like riemann knew useful topics too, like physics, and drew wonderful inspiration from them to do maths.

currently i am even enjoying differential equations, after years of regarding them, as spivak says, as "now a word from our sponsor". broadening the mind is healthy.

maybe someday i will even learn about (ugh) computers, and statistics.
 

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