Did Ramanujan's work look like crackpottery?

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Discussion Overview

The discussion centers on the perception of Ramanujan's work and whether it could be classified as "crackpottery." Participants explore the context of his correspondence with mathematicians, particularly the challenges he faced due to his unconventional notation and presentation style, as well as the broader implications of how creative work is evaluated in academia.

Discussion Character

  • Debate/contested
  • Historical

Main Points Raised

  • Some participants note that Ramanujan developed his results independently and without access to standard mathematical notation, which contributed to the dismissal of his work by many mathematicians, except for G. H. Hardy.
  • There is a discussion about a parallel story involving a novel that was rejected by publishers despite having previously been published, raising questions about recognition and evaluation in creative fields.
  • One participant suggests that the rejection of Ramanujan's work could be attributed to its presentation, including issues like poor handwriting, use of low-quality paper, and lack of formal proofs, which might lead others to view it as crackpottery.
  • Another participant emphasizes Ramanujan's creative brilliance, arguing that while his presentation may have obscured his insights, his mathematical intuition was exceptional and not easily replicated by others.

Areas of Agreement / Disagreement

Participants express differing views on whether Ramanujan's work can be classified as crackpottery. While some see elements that could justify such a label, others defend his insights and creativity, suggesting that the evaluation of his work was influenced by its unconventional presentation rather than its mathematical validity.

Contextual Notes

The discussion highlights limitations in understanding Ramanujan's work, particularly regarding the assumptions made about the standards of mathematical presentation and the subjective nature of evaluating creative contributions in mathematics.

RPinPA
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I happened to come across an old thread, "What counts as crackpottery?" and the above question came to my mind. The story is well known that he developed his results on his own without access to standard mathematical notation, and so when he began corresponding with mathematicians at universities they all (with the notable exception of G. H. Hardy) dismissed the work as nonsense.

Does anyone know what that correspondence looked like? Aside from using non-standard notation, did it have elements of crackpottery which contributed to it getting dismissed?

Sort of apropos to this question, I recently read of an experiment where someone submitted a novel, a recent (I think) prize winner to various publishers pseudonymously. It was rejected by all of them, including the publisher who had published the actual novel.
 
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RPinPA said:
It was rejected by all of them, including the publisher who had published the actual novel.
If they published it already then rejecting further submissions of the already published material is the right thing to do.
 
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mfb said:
If they published it already then rejecting further submissions of the already published material is the right thing to do.

I believe the point was that the editors did NOT recognize it and rejected it as not suitable for publication.

The place where I read that story had no details or citations, but I just tracked down the details. You could argue that it's because the editors are right, a style that sold in 1962 might not sell in 2017. But not that they cleverly detected that it was an existing novel.
 
There are lots of reasons publishers use to reject manuscripts. Its handwritten and hard to read. Its on hole punched notebook paper. There are food stains. The spelling is bad, the grammar is worse...

https://www.amazon.com/dp/068485743X/?tag=pfamazon01-20

I'm pretty sure Ramanujan used poor quality paper, his results and derivations were handwritten and there were no proofs only expressions in his own notation that were extended from the ideas in the book he learned from.

https://en.wikipedia.org/wiki/Synopsis_of_Pure_Mathematics
Ramanujan had a creative brilliance that was obscured by his presentation and to many would be considered crackpottery especially those not versed in the notions of higher math. His insight into math was his greatest asset, an asset other mathematicians would strive for but never reach.

https://en.wikipedia.org/wiki/Srinivasa_Ramanujan
You can see his work online:

http://ramanujan.sirinudi.org/
or his first two notebooks here:

https://www.imsc.res.in/~rao/ramanujan/NotebookFirst.htm
 

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