applying the neutrality of being to propositions {hypotheses} and evidence

(Page title modified 2010-11-12, rest last modified 2010-09-28. I’d love for someone to explain to me how to automate this.)

What follows is the upshot of an attempt to answer a question that proved to be unusually intractable. Further elaboration pending.

P stands for any proposition {claim, hypothesis, theory, narrative, story, account, report, description}. It may or may not be true {right, correct}.

lack {the absence} of evidence :for P {of P’s being (the case)} =
(the presence of) evidence :against P {of lack of P’s being (the case)} =
(the presence of) evidence :for not-P {of not-P’s being (the case)} =
lack {the absence} of evidence :against not-P {of lack of not-P’s being (the case)}

lack {the absence} of evidence :for not-P {of not-P’s being (the case)} =
(the presence of) evidence :against not-P {of lack of not-P’s being (the case)} =
(the presence of) evidence :for P {of P’s being (the case)} =
lack {the absence} of evidence :against P {of lack of P’s being (the case)}

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