Cantor gave his life to the Continuum Hypothesis, Hilbert gave much of his life to similar goals. You’re making an argument somewhat along those lines, but giv

Cantor gave his life to the Continuum Hypothesis, Hilbert gave much of his life to similar goals. You’re making an argument somewhat along those lines, but given that I didn’t stipulate a convergence condition your conclusions can be dismissed by me. If it were a valid argument then we’d need Gödel.