Personally I take an idealist approach to mathematics
Ok, mathematics are indeed infinite since we can simply keep adding numbers without never stopping.
But what about reality? Do you think reality is infinite?
Because for me, the idea of existence being something infinite is quite hard to grasp. But it is an exciting idea nonetheless since infinity would mean everything will happen, an infinite amount of times, so every goal and wish we have, will happen, but also our worst nightmares.
Reality is finite because of Planck's constant. Possibilities are also finite since all permutations of finite particles is finite.