Omega + 1 is an original number that is larger than omega, which is infinite. This is well defined mathematics. There are an infinite number of binary strings

Omega + 1 is an original number that is larger than omega, which is infinite. This is well defined mathematics. There are an infinite number of binary strings 0.xyzw... that are less than 1.0, and 1.0 is the first number after all of them. Infinity + 1.