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Originally Posted by Infinite_Loser
The SM only measures the probability that the stated hypothesis is either true or false, not whether the statement is definitively true or definitively false (I've never disagreed here). Based on what science can measure and can't measure, and based on what science does know and doesn't know, it can only conclude that God might exist outside of scientific evidence-- Nothing more and nothing less.
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We can still use logic to see if a religion is consistent with itself and with our observations of the world. We would just need to identify the basic axioms of the religion and then see if everything else logically follows from that. It's easier said than done, though, as Aquinas discovered.