"believing X" and "knowing X is not true" cannot happen in the same head
This is known as doublethink. Its connotations are mostly negative, but Scott Fitzgerald did say that "The test of a first rate intelligence is the ability to hold two opposed ideas in the mind at the same time, and still retain the ability to function" -- a bon mot I find insightful.
Example of that being useful?
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
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