Your fix is a kludge. I could randomize: use the detector to determine Omega’s p and then use 1-p, or something like that. Give me a general description of what your Omega does, and I’ll give you a contradiction in the spirit of my original post. Patch the holes all you want. Predicting the future always involves a contradiction, it’s just more or less hard to tease out. You can’t predict the future and outlaw contradictions by fiat; it is logically impossible. This was one of the points of my post.
Your fix is a kludge. I could randomize: use the detector to determine Omega’s p and then use 1-p, or something like that. Give me a general description of what your Omega does, and I’ll give you a contradiction in the spirit of my original post. Patch the holes all you want. Predicting the future always involves a contradiction, it’s just more or less hard to tease out. You can’t predict the future and outlaw contradictions by fiat; it is logically impossible. This was one of the points of my post.