God would seem to (at least sometimes) make a decision between infinity different alternatives. Is that something humans ever do?
Here's one specific example: I have an itch. The harder I scratch it, the more the itchiness will be relieved. But, the harder I scratch it, the more pain I will feel from having scratched at my skin. With these factors in mind, I freely choose to scratch my itch with n newtons of force. Let's say a minimum of 1 newton of force in my scratching is required for relieving itchiness, and nothing greater than 5 newtons of force in my scratching would be merited by this particular feeling of itchiness (I have no idea if those are realistic values). If I scratch with a force closer to 1 newton, then I'm acting on the reason that I dislike pain. If I scratch with a force closer to 5 newtons, then I'm acting on the reason that I dislike itchiness. If I scratch with a force somewhere in the middle, then I'm acting partially on my dislike of itchiness, and partially on my dislike of pain. Perhaps I, without me realizing it, could actually will to scratch my itch with any force on the continuum of [1, 5] newtons. Thus, when I scratch an itch, I choose between an uncountable infinity of alternatives.
In practice, your hand, your brain and your nerves don't have the precision to distinguish between 2.00000003 and 2.00000004 newtons of force. You could build a machine to scratch your itch such that you could input exactly 2.00000004 N into the machine, however the precision of the machine will never be infinite, so by adding enough zeroes you'll eventually reach a point when it doesn't have the precision required. So you wouldn't really be choosing between infinite possibilities in any practical scenario you can come up with. In fact, even if the machine had infinite precision, you would be restricted to inputting numbers which you can actually type within your lifespan, which is a finite set.
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