Re:Gödel's Incompleteness Theorem in Bash
by fiatjaf on Monday February 28, 2022 @03:00PM
(#30504359)
Yes, I just used this opportunity to raise this point. I don't know what Gödel himself thought of it.
But I find it very disheartening when such an interesting find is presented as simply "a paradox" akin to the phrase "this is a lie". That would be the most uninteresting thing ever.
Many articles on the internet thus describe Gödel's theorem, and also that famous book from Douglas Hofstadter.
I don't think Gödel drew that conclusion; that's Roger Penrose's reasoning. He uses Gödel's Theorem as an example of correct reasoning that can't be algorithmic (i.e. Gödel's mind cannot be replaced by an algorithm). It's not a proof, and it's controversial. I find it convincing; but then I'm biased - I'm predisposed to the view that the mind is not algorithmic.