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Sometimes you have to accept something based on numerous events asserting it without any tangible proof. For example, let's say a person survives an accident thrice in a day. It is likely that people, in such a case, would accept the reason to be some divine intervention, even if it is against their rationale. Perhaps because of lack of proof. Is there a single word for this situation?

UPDATE: It would be preferable if that word can be used as a verb.

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Innumeracy? Misunderstanding of probability theory? – user16269 Sep 14 '12 at 0:20
Close, but I think there must be a non-scientific word too. – JMDee Sep 14 '12 at 0:25
Humpty-Dumpty tells us that if you make a word do that much work you're going to have to pay it extra. – StoneyB Sep 14 '12 at 0:33
I think your premise is flawed. I think someone would only accept these things as divine intervention if that aligned with their "rationale", otherwise they would simply say, "It's inexplicable." – Jim Sep 14 '12 at 5:25
You need to be more specific in your question. Right now, another phrase that is consistent with your description is 'experimental evidence' which is counter to most of the answers. Also, you could think you can rationally claim that you are Napoleon, but many people tell you differently and you don't speak French. So maybe it would be 'accepting reality'. – Mitch Sep 14 '12 at 13:18

The term synchronicity means

the simultaneous occurrence of events that appear significantly related but have no discernible causal connection

This does not convey any causative agency.

Providence is a term that can suggest divine or other supernatural causation

a. (Christianity) God's foreseeing protection and care of his creatures

b.such protection and care as manifest by some other force

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Synchronicity is very close. Thanks for your input! – JMDee Sep 14 '12 at 19:57

Empirical Rationalization

This term has a positive connotation to it as against the kind of fatalistic negativity suggested in the OP's example of "even if it is against their rationale."

Or, merely,
Statistical Rationalization

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Empirical rationalization is a bit different. – JMDee Sep 14 '12 at 20:06

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