[HN Gopher] The Mysterious Disappearance of a Revolutionary Math...
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       The Mysterious Disappearance of a Revolutionary Mathematician
        
       Author : Anon84
       Score  : 71 points
       Date   : 2022-05-11 11:19 UTC (11 hours ago)
        
 (HTM) web link (www.newyorker.com)
 (TXT) w3m dump (www.newyorker.com)
        
       | dboreham wrote:
       | Schonfinkel I believe also disappeared.
        
       | poulpy123 wrote:
       | I find his life fascinating, from mathematical genius to hermit
       | 
       | Just as a note, le Chambon sur Lignon isn't in the Alps but in
       | the mountainous parts of central france
        
       | dzdt wrote:
       | Somewhat clickbait title: Alexander Grothendieck is the
       | mathematician for anyone who might already know about this.
        
         | [deleted]
        
       | photochemsyn wrote:
       | _"...he described scientists and mathematicians as the most
       | dangerous people on the planet, because they carelessly put
       | destructive technological power in the hands of politicians. "_
       | 
       | This is indeed true. There's another side however, in that
       | scientists and mathematicians have also put creative
       | technological power in the hands of ordinary people. Perhaps a
       | more nuanced view is that authoritarian states controlled by
       | politicians are the most dangerous systems of all.
        
         | saiya-jin wrote:
         | > authoritarian states controlled by politicians are the most
         | dangerous systems of all
         | 
         | Checks in these times
        
       | lostmsu wrote:
       | For those who don't like the long form:
       | https://en.m.wikipedia.org/wiki/Alexander_Grothendieck
        
         | [deleted]
        
         | [deleted]
        
       | thablackbull wrote:
       | Anyone have a good suggestion of a mathematics textbook that
       | would help me learn 'from the ground up so to speak' like how the
       | article mentions, "He spoke of his mathematical work as the
       | building of houses, contrasting it with that of mathematicians
       | who make improvements on an inherited house or construct a piece
       | of furniture."?
        
         | bitexploder wrote:
         | https://www.susanrigetti.com/math
         | 
         | Great overview.
        
           | fgh wrote:
           | I am curious why a curriculum in the US includes four courses
           | on calculus. Why isn't this just part of maybe three analysis
           | courses for undergraduate studies?
        
             | zmgsabst wrote:
             | My university had quarters, not semesters, but:
             | 
             | 1. Derivatives
             | 
             | 2. Integrals
             | 
             | 3. Applications -- function approximation; solids of
             | rotation; vectors; etc.
             | 
             | 4. Multivariate -- partial derivatives, multiple integrals,
             | etc.
             | 
             | Glancing at a nearby community college's course catalog,
             | they have similar split.
        
               | fgh wrote:
               | Does this include the full machinery to prove the
               | necessary theorems or are these basically practical
               | courses?
        
               | zmgsabst wrote:
               | Those are practical courses, meant to prep for linear
               | algebra and differential equations -- and various STEM
               | tracks. As I recall, there were some proofs (eg, limits
               | showing derivative rules; limits showing sums for
               | integral rules).
               | 
               | We covered all the proofs in real analysis 1
               | (derivatives; sequences) and 2 (integrals; measure).
        
           | AlanYx wrote:
           | That's a great page. Would you happen to know of a similar
           | type of resource for statistics?
        
             | ninly wrote:
             | This site is not as ground-up or comprehensive as Susan
             | Rigetti's page, but I have found it useful:
             | https://statisticsbyjim.com/
        
         | brooke2k wrote:
         | https://venhance.github.io/napkin/Napkin.pdf
         | 
         | This textbook (work in progress but mostly complete) is an
         | attempt to do exactly that: start at foundational math like
         | group theory and topology and build up to higher and higher
         | levels of math.
         | 
         | I worked through the first few chapters a while ago, and it's
         | very good. My only issue is that sometimes he assumes knowledge
         | of things that I didn't know about, but cursory googling was
         | good enough for those situations.
        
       | nonrandomstring wrote:
       | > Grothendieck spoke of problem-solving as akin to opening a hard
       | nut. You could open it with sharp tools and a hammer, but that
       | was not his way. He said that it was better to put the nut in
       | liquid, to let it soak, even to walk away from it, until
       | eventually it opened.
       | 
       | This is a lovely way of looking at solving hard problems as a
       | life-project, instead of a rushed performance. There's a
       | pernicious pressure in academia for students to be world-class
       | before they're 25, whereas I think the best insights seem to pop
       | out quite naturally after putting them in the background for 10
       | or 20 years.
       | 
       | I have not met many brilliant mathematicians, but a few do seem
       | especially sensitive to wounding by the ugliness in the human
       | condition. It's a shame both Alexander Grothendieck and Theodore
       | Kaczynski didn't find ways to tough it out against the ugliness
       | instead of succumbing to withdrawal or anger - because truth is
       | the greatest weapon against the violence of ignorant tyranny.
        
         | inter_netuser wrote:
         | > truth is the greatest weapon against the violence of ignorant
         | tyranny.
         | 
         | Do you see this work in practice?
         | 
         | All I see is a dead internet filled with AI-generated fake
         | detritus-like content, attention and behaviour manipulation,
         | all sorts of dark patterns.
         | 
         | Truth alone doesn't come close to protect you against ignorant
         | violence. Ignorance is multiplied by tech at much higher
         | multiple, simple because there is often little profit in
         | spreading the truth.
        
           | dmos62 wrote:
           | To be fair, even if knowledge does not win over ignorance,
           | that doesn't mean that knowledge isn't the greatest weapon
           | against ignorance.
        
           | nonrandomstring wrote:
           | > Do you see this work in practice?
           | 
           | Sure. I see it in every child cured of cancer because the
           | truth of Fourier means that Positron Emission Tomography can
           | zap a tumour. I see it when people dance to music because the
           | truth of electrodynamics and sampling theory mean artists in
           | a studio can make a record for millions of others to enjoy. I
           | see it when people are warm in their homes because Einstein's
           | truth about matter and energy means they have electricity.
           | The world around us is literally a triumph of truth.
           | 
           | > All I see is a dead internet filled with AI-generated fake
           | detritus-like content, attention and behaviour manipulation,
           | all sorts of dark patterns.
           | 
           | You're looking at it wrong. What you see is a group of sad
           | little people who betrayed technology to assuage their own
           | inadequacies. They mostly took what other much smarter people
           | invented to make sordid little businesses out of leveraging
           | ignorance. The world is catching up with them and their
           | deeds, mark my words.
        
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       (page generated 2022-05-11 23:02 UTC)