By strict logic, it does not necessarily follow that ordinary claims require only ordinary evidence, though I do believe it to be the case in general. That is to say, there is an proportional and direct relationship between a claim's "exraordinariness" and the strength of the evidence its belief demands.
Further, it seems logical that, for any given level of "exraordinariness":
- The more evidence, the stronger the belief should be; the less evidence, the weaker it should be.
- The more important the claim's subject, the more certain one would like one's belief to be; the less important, the less important it is to be certain one way or the other.
- Extraordinary evidence is presented, becaue the existence of gods is an extraordinary claim
- Even stronger evidence is presented, because the subject is of such great existential importance
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