I forgot the author/title of that book where the author's idea is that there are many halting-problem-like unproveable features in computer programming. Do you know it? Lisp book lists?
@dougmerritt yeah, I think I butchered it, but I recall that it was a mathematical book by a common lisp programmer, and its blurb included something like what I said about the halting problem being a hint of something more general. (And I don't think it was by Hofstadter per the other toot). I remembered it as being in one of the book lists on cliki, but when I looked, I couldn't find it or a reference to anything that sounded like it.
@screwtape Technically speaking, most possible programs *are* undecidable, as a matter of proven fact rather than as an author's opinion, and many programming books with an emphasis on computer science will say so or even spend chapters on the subject.
In light of that, do you recall more things about the book, to help pin down that particular book?
@dougmerritt okay, I read Chaitin's 36 page thing on the implications of a diophantine equation whose solutions depend on Chaitin's number, tl;dr the gist of which is that even in pure mathematics we're probably stuck going to empiricism, and that while mathematicians weren't obviously listening to him about it, with the advent of modern computing people were doing it anyway because it's something computers lend themselves to.
; he constructed lisps as practical support to his theorems