[madnak]

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Do you think this is a rational position? What makes you think the probability of a god or gods existing is relatively high?

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Short answer: no. I think it's rationally consistent, but not logically demonstrable. It's arbitrary and intuitive to a large degree.

I'm combining my "sense of God" and the chance that it's valid, our sheer lack of knowledge about the universe (and the potential for god that exists as a result of that), the chance of a physical being reaching a level of power akin to godhood, the cluster of claims that are vast in scope but unfalsfiable, and the "odds-and-ends" arguments that aren't individually convincing but collectively deserve some consideration (the usual suspects go here - ontological argument, teleological argument, etc).