#### Is there a more intuitive proof of the halting problem's undecidability than diagonalization?

There is also a proof of this fact that uses a different paradox, Berry's paradox, which I heard from Ran Raz. Suppose that the halting problem were computable. Let $B(n)$ be the smallest natural number that cannot be computed by a C program of length $n$. That is, if $S(n)$ i...