" No behavior has an infinite set of possibilities. Think of a lightning strike, although the state space is very high the bolt never make as a u-turn. The idea of infinities came from Feynman's thought experiment involving the twin slit measurement having an infinite number of slits. The probability distribution is not infinite, there are ratios involved.
If reality contains both infinity and unity, it is either a multifaceted jewel, or the singularity dancing. The fiddler is self referential noise. "

― Rick Delmonico