Will_Newsome comments on Exclude the supernatural? My worldview is up for grabs. - Less Wrong
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I do not know what to call this kind of evidence outside of technical decision theory discussion. "Logical" is the obvious choice, and that's the decision theory name for it, but it's only 'logical' in an abstract way. Maybe it's the most accurate word though, and I'm just not familiar with the etymology. "Platonic evidence" (or evidence) feels a little more accurate to me, 'cuz you can talk about an observation carrying both physical evidence and Platonic evidence without thinking that Platonic evidence entails having to perform explicit logical operations or anything like that. (Likewise you can resolve Platonic uncertainty without recourse to anything that looks like formal logic.) Eh, whatever, "logical uncertainty" is fine. (Related words: acausal, timeless, teleological.)