Natalie mentions  the Newman &  Nagel's text "Gödel's  Proof," a
      (//the//?) 1958 classic on the subject. [[ 1 ]]  Having left IBM
      in December  1990, I spent a  month with the text,  dipping into
      mild insanity, taking to strange  wines to relieve myself of the
      fear that my previous years  long study of Whitehead & Russell's
      "Principia Mathematica" [[ 2 ]] was useless.
   
      I  really  appreciate  the  inclusion of  Alvir's  statement  on
      whether  or not  Gödel  thought he  proved  all logical  systems
      undecidable and incomplete.   About 80% into the  article is her
      quote:
   
      >> Often people will speak as if  the CH is the smoking gun that
      >> shows sometimes  mathematical questions have no  answer.  But
      >> in my  opinion, this situation provides  very little evidence
      >> that   there   are  “absolutely   undecidable”   mathematical
      >> problems, relative to any given permissible framework.
   
      Though  I  would have  added  a  reference to  Infinitary  Logic
      [[ 3 ]]  after dropping  the  reference  to L-omega-1-omega.   I
      suspect most  readers would find discussion  of higher-order and
      modern logic a bit confusing  without a pause for further study.
      But a guide post pointing  in the appropriate direction would be
      good.

      That this is  the only critique I have of  the article speaks to
      Wolchover's  skill  in communicating  complex  ideas  for a  lay
      audience.  I really  liked this article, so  thank you @baruchel
      for posting the reference to it.
   
   :: References
   
      1. https://search.worldcat.org/title/1543160023
   
      2. https://search.worldcat.org/title/933122838
   
      3. https://en.wikipedia.org/wiki/Infinitary_logic