Imagine that you are trying to build the best house possible and that you are able to build any possible house. Ironically, you would be forced to make some choices arbitrarily as a result of having an infinite number of possible choices!
For example, if having a large house matters to you, there would always be a larger option. And so, if having a large house matters to you, you are forced to choose the size of the house arbitrarily. If having as many beautiful objects in your home as possible matters to you, you could always choose to have one more. You would be forced to arbitrarily choose how many beautiful things to include. No matter what matters to you, and while you could easily disregard some of the infinite number of different designs that you could choose from, you would ultimately have an infinite number of designs that would be better in some ways, worse in other ways, but equally valuable/desirable overall. If faced with such a choice, you would have to pick one of these designs arbitrarily.
Now imagine you are God and tasked with creating the universe. Suppose you decide that you want to have lots of living creatures in your universe. But no matter how many you would choose to make, you could have always chosen a better universe with more creatures! And so, you are forced to arbitrarily pick the number of creatures that will be in your universe. And many other decisions – any involving aspects/features that can be quantified (are not merely qualitative attributes) and for which you have an infinite number of options – would have to be made, to some extent, arbitrarily as well.
Philosopher Dean Zimmerman has used similar logic in trying to address the problems of suffering and evil. But his argument gets a bit complex (and no one likes long opinion pieces) and (while it seems logically sound) is not one of the better approaches to theodicy in my opinion. Perhaps this will come up in the comments if anyone is interested.
What do you think? Would a creator (or creators) with infinitely many options to choose from be forced to make many of their decisions arbitrarily? Is it fair to say that God (should She exist) sometimes has to roll the dice? Would decision-making for an omnipotent (or just very powerful god-like) being be quite different than our decision-making?