I think we can only define Infinity interms of the Domains that we know we exist: Time and Space.
I would think the religious person would appeal to the Soul as some sort of proof for a third domain that is beyond our senses, something like a domain of Consciousness in which we are already infinite with God. I remember reading something to that effect when studying Hinduism or Buddhism.
That's not my personal beliefs, I don't believe in dualism.
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