To a mathematician saying god created the integers is the same thing as saying god created the rationals: there’s a bijection between the rationals and integers.
I’m not convinced that we could have our current universe without irrationals - wouldn’t things like electromagnetism and gravity work differently if forced to be quantized between rationals? Saying ‘meh it would be close enough’ might be correct but wouldn’t be enough to convince me a priori.
Yeah this is an understatement. Modern technology and the world economy require irrational numbers