Here’s another one. When reading wikipedia on Chaitin’s constant, I came across an article by Chaitin from 1956 (EDIT: oops, it’s 2006) about the consequences of the constant (and its uncomputability) on the philosophy of math, that seems to me to just be completely wrongheaded, but for reasons I can’t put my finger on. It really strikes the same chords in me that a lot of inflated talk about Godel’s Second Incompleteness theorem strikes. (And indeed, as is obligatory, he mentions that too.) I searched on the title but didn’t find any refutations. I wonder if anyone here has any comments on it.
Here’s another one. When reading wikipedia on Chaitin’s constant, I came across an article by Chaitin from 1956 (EDIT: oops, it’s 2006) about the consequences of the constant (and its uncomputability) on the philosophy of math, that seems to me to just be completely wrongheaded, but for reasons I can’t put my finger on. It really strikes the same chords in me that a lot of inflated talk about Godel’s Second Incompleteness theorem strikes. (And indeed, as is obligatory, he mentions that too.) I searched on the title but didn’t find any refutations. I wonder if anyone here has any comments on it.