Talking about the halting problem. Sometimes I come across a meme that asks this question:

If you choose an answer to this question at random what is the chance you will be correct?

A) 25% B) 50% C) 0% D) 25%

Maybe I'm wrong but I believe this problem and the halting problem are versions of Gödel's incompleteness theorem. In the realm of probability theory and computing science respectably. Basically, I see it as the inability of a set of rules to reason (or be applied) to themselves.