5 ms·

Thanks! Probably approximately no citation needed.

vinnyvichy 2y ago
Since you are possibly not terrible at unearthing obscure but Critical rocksnacks, exactly why, Archangelsk Governorate? I mean, if besides that there it being harder to tell noon from midnight, e.g. neighboring Finnics having obnoxiously dissimilar mythology ) https://en.wikipedia.org/wiki/Lady_Midday https://en.wikipedia.org/wiki/Lady_Midday
jasomill 2y ago
It's from the forward to Grassmann's 1962 Ausdehnungslehre[1]: einst dieſe Ideen, wenn auch in veränderter Form, neu erstehen und mit der Zeitentwickelung in lebendige Wechſelwirkung treten werden. Denn die Wahrheit … bleibt bestehen, wenn auch das Gewand, in welches schwache Menschen ſie kleiden, in Staub zerfälit. The translation is from Kannenberg, Extension Theory, AMS, 2000[2]. [1] https://archive.org/details/dieausdehnungsl05grasgoog/page/n11/mode/2up https://archive.org/details/dieausdehnungsl05grasgoog/page/n... [2] https://www.ams.org/bookstore/pspdf/hmath-19-prev.pdf#page=11 https://www.ams.org/bookstore/pspdf/hmath-19-prev.pdf#page=1...
- vinnyvichy 2y ago
  Double thanks! (Always glad to see the German taking "Elizabethan" s-f glyph pair to its ambiguous conclusion.) My very earliest exposure to the Ausdehnungslehre was in Sternberg+Bamberg. Until coming across Penrose diagrams, this book staved off the disgust I felt for tensor calculus (as used by physicists). http://ndl.ethernet.edu.et/bitstream/123456789/33770/1/108.pdf.pdf http://ndl.ethernet.edu.et/bitstream/123456789/33770/1/108.p... Mainly shocked by the compression of Maxwell's equations to a single line. Otherwise.. that was.. (regrettably cryptic) a reference to the eerily resonant Kolmogorov option, roughly motivated by Hilbert's slogan "truth does not need martyrs". https://scottaaronson.blog/?p=3376 https://scottaaronson.blog/?p=3376 More precisely, I am sympathetic to the idea that the path that Grassmann took to release his discoveries into the world was actually close to the optimal one. Other paths to consider are thus Grothendieck's,Kaczynski's, Galois' (generalizing to purely social bits, even Nash's) Two-sided intellectual exchange with a finished work across spacetime, that's also something.
  - 082349872349872 2y ago
    (was Galois the co-Kaczynski?) If we want to figure out the optimal path to release discoveries, what happens if we set the action to zero?

Since you are possibly not terrible at unearthing obscure but Critical rocksnacks, exactly why, Archangelsk Governorate? I mean, if besides that there it being harder to tell noon from midnight, e.g. neighboring Finnics having obnoxiously dissimilar mythology ) https://en.wikipedia.org/wiki/Lady_Midday https://en.wikipedia.org/wiki/Lady_Midday

jasomill 2y ago

It's from the forward to Grassmann's 1962 Ausdehnungslehre[1]: einst dieſe Ideen, wenn auch in veränderter Form, neu erstehen und mit der Zeitentwickelung in lebendige Wechſelwirkung treten werden. Denn die Wahrheit … bleibt bestehen, wenn auch das Gewand, in welches schwache Menschen ſie kleiden, in Staub zerfälit. The translation is from Kannenberg, Extension Theory, AMS, 2000[2]. [1] https://archive.org/details/dieausdehnungsl05grasgoog/page/n11/mode/2up https://archive.org/details/dieausdehnungsl05grasgoog/page/n... [2] https://www.ams.org/bookstore/pspdf/hmath-19-prev.pdf#page=11 https://www.ams.org/bookstore/pspdf/hmath-19-prev.pdf#page=1...

vinnyvichy 2y ago
Double thanks! (Always glad to see the German taking "Elizabethan" s-f glyph pair to its ambiguous conclusion.) My very earliest exposure to the Ausdehnungslehre was in Sternberg+Bamberg. Until coming across Penrose diagrams, this book staved off the disgust I felt for tensor calculus (as used by physicists). http://ndl.ethernet.edu.et/bitstream/123456789/33770/1/108.pdf.pdf http://ndl.ethernet.edu.et/bitstream/123456789/33770/1/108.p... Mainly shocked by the compression of Maxwell's equations to a single line. Otherwise.. that was.. (regrettably cryptic) a reference to the eerily resonant Kolmogorov option, roughly motivated by Hilbert's slogan "truth does not need martyrs". https://scottaaronson.blog/?p=3376 https://scottaaronson.blog/?p=3376 More precisely, I am sympathetic to the idea that the path that Grassmann took to release his discoveries into the world was actually close to the optimal one. Other paths to consider are thus Grothendieck's,Kaczynski's, Galois' (generalizing to purely social bits, even Nash's) Two-sided intellectual exchange with a finished work across spacetime, that's also something.
- 082349872349872 2y ago
  (was Galois the co-Kaczynski?) If we want to figure out the optimal path to release discoveries, what happens if we set the action to zero?