4 ms·

The critique of calculus as lacking in rigor goes much further back than that. Bishop Berkeley famously argued calculus was no more dependable than theology.

by pfdietz 9mo ago

The critique of calculus as lacking in rigor goes much further back than that. Bishop Berkeley famously argued calculus was no more dependable than theology. It was only with Cauchy and the formalization of analysis in the 19th century that this issue would be put to bed. https://en.wikipedia.org/wiki/The_Analyst https://en.wikipedia.org/wiki/The_Analyst I wonder if the issues that this essay claims came up in Italy persisted in any way. I ask that, because there was later (1885-1935) an infamous breakdown in Italian mathematics (the "Italian School of Algebraic Geometry") due to foundational issues. https://en.wikipedia.org/wiki/Italian_school_of_algebraic_geometry https://en.wikipedia.org/wiki/Italian_school_of_algebraic_ge... History doesn't repeat but it sometimes rhymes.

aebtebeten 9mo ago
From a contemporary viewpoint, Berkeley seems to have been a bit of an edgelord in his defense of faith: https://en.wikipedia.org/wiki/Appeal_to_the_stone#Origin https://en.wikipedia.org/wiki/Appeal_to_the_stone#Origin (or am I doing him an injustice and he was running with the whole Cartesian Demon thing to see just how far he could take it?) Mumford (a grand-advisee of Castelnuovo's) on the infamous school: https://ftp.mcs.anl.gov/pub/qed/archive/209 https://ftp.mcs.anl.gov/pub/qed/archive/209
- gsf_emergency_6 9mo ago
  Fwiw, (exotericised) Accidentally self-awakened patriotic^W self-reliant cynic Seems like it could be somewhat ticklish, and Accidentally self-(right-)radicalising marginally-woke Could almost be. Btw, JD Vance claimed his wife is his spirit animal, so if he's a racist, he is at best the kind of racist who'd find it morally imperative that animals try and become human? PS: have you figured out what math pros would call the satirical functor? It's alright to ask your kith kin or kollegen for help :)
  - aebtebeten 9mo ago
    Unless it be one of the functors from Mathematics Made Difficult (1971) I shall have to ask my kith for counsel...
    - gsf_emergency_6 9mo ago
      Short answer is no. (Your two Cat's are presumably, "listenable now" and "listenable later"?) Mid-answer is.. (depending on how _useful_ it appears to be ;) I'll find out which case(s) from Mumonkan that was soon enough.. Btw, Hiroyuki concluding "1% Perspiration" (apologetic to Edison?), calls himself "Ronin".. so.. Takuan or Musashi? https://youtu.be/SoHxYBMuegE?t=2m09s https://youtu.be/SoHxYBMuegE?t=2m09s Ps: "weaponized kernel-bugs" (personal translation from preface:)

by pfdietz 9mo ago

aebtebeten 9mo ago

From a contemporary viewpoint, Berkeley seems to have been a bit of an edgelord in his defense of faith: https://en.wikipedia.org/wiki/Appeal_to_the_stone#Origin https://en.wikipedia.org/wiki/Appeal_to_the_stone#Origin (or am I doing him an injustice and he was running with the whole Cartesian Demon thing to see just how far he could take it?) Mumford (a grand-advisee of Castelnuovo's) on the infamous school: https://ftp.mcs.anl.gov/pub/qed/archive/209 https://ftp.mcs.anl.gov/pub/qed/archive/209

gsf_emergency_6 9mo ago
Fwiw, (exotericised) Accidentally self-awakened patriotic^W self-reliant cynic Seems like it could be somewhat ticklish, and Accidentally self-(right-)radicalising marginally-woke Could almost be. Btw, JD Vance claimed his wife is his spirit animal, so if he's a racist, he is at best the kind of racist who'd find it morally imperative that animals try and become human? PS: have you figured out what math pros would call the satirical functor? It's alright to ask your kith kin or kollegen for help :)
- aebtebeten 9mo ago
  Unless it be one of the functors from Mathematics Made Difficult (1971) I shall have to ask my kith for counsel...
  - gsf_emergency_6 9mo ago
    Short answer is no. (Your two Cat's are presumably, "listenable now" and "listenable later"?) Mid-answer is.. (depending on how _useful_ it appears to be ;) I'll find out which case(s) from Mumonkan that was soon enough.. Btw, Hiroyuki concluding "1% Perspiration" (apologetic to Edison?), calls himself "Ronin".. so.. Takuan or Musashi? https://youtu.be/SoHxYBMuegE?t=2m09s https://youtu.be/SoHxYBMuegE?t=2m09s Ps: "weaponized kernel-bugs" (personal translation from preface:)