If you found this interesting and are a non-expert, I recommend browsing Foundations of Mechanical Accuracy by Wayne Moore (1970):
https://archive.org/details/Foundations_of_Mechanical_Accura...
Manufacturing got down to nanometer precision starting with macroscopic precision visible to the naked eyeball.
This article would be better without the opening two paragraphs about Godel's Theorem. They're just fluff, and much of what they say is wrong.
When they claimed "Gödel’s findings may seem rather obvious" that kinda put me off of the article. Obvious to whom? It wasn't obvious at the time and I'm sure _most_ people haven't even heard or thought about the problem before.
Maybe the wrong version of Godel's findings that the article states seemed obvious to the author. Lots of complex questions have simple, obvious wrong answers.