While you can derive the existence of a transition function from the postulate of a dynamic universe that has successions of states, all other ascriptions that would make such a function a feature of God cannot be logically derived.
A statement about an item of faith is not a true statement about reality, but a true statement about the state of the mind holding the faith. It involves a belief without priors, something that cannot validly be inferred in any other way but by observing your own mind.
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For instance, there can hardly be a valid perceptual observation that informs you that you were created by an intentional being rather than a mechanical process. It is important to not engage in motivated reasoning.
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There can be no evidence for the existence of an ontologically existing being that is omnipotent. If you find yourself holding non-zero confidence in its existence (i.e. confidence that is higher than evidential support), your mind finds itself in its presence, but it's not true.
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