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C.S. Lewis, "Bulverism"
(It's not exactly correct- evidence of bias is some evidence against a belief- but not always as strong of evidence as it's assumed to be.)
On the contrary, in the absence of the time, resources, or inclination to completely retrace a person's reasoning, psychological factors (such as whether the result is desirable to the person in question) are indeed relevant to the probability that the person made a mistake since in general
P(made mistake | result is appealing) != P(made mistake | result not appealing)