I think you have that backwards. “Two times infinity” is “infinity, two times” or “infinity, twice,” which maps to Infinity + Infinity. “Infinity times two” is

I think you have that backwards. “Two times infinity” is “infinity, two times” or “infinity, twice,” which maps to Infinity + Infinity. “Infinity times two” is 2 + 2 + 2 + 2 + 2… forever.