April 21, 2026
Where E equals “Event” and -E equals “Not-Event,”
and where “Event” and “Not Event” are mutually exclusive:
E ≠ -E, meaning the two cannot co-occur per 1 data point
E ≠ Pr(E), meaning Event never equals Event’s probability
-E ≠ Pr(-E), meaning Not-Event never equals Not-Event’s probability
Low Pr(E) is not “Never E” because existence of Pr(E) depends upon E
Low Pr(-E) is not “Never -E” because existence of Pr(-E) depends on -E
High Pr(E) is not “Always E” because existence of Pr(E) depends on E
High Pr(-E) is not “Always -E” because existence Pr(-E) depends on -E
If E ≠ -E, and E ≠ Pr(E) and -E ≠ Pr(-E),
then E ≠ -E is mutually exclusive from Pr.
Not understanding this is hypothesized to lead to linguistic fallacies (to use Aristotle’s term), where Pr is believed to have mutual inclusivity with E and -E.
Hypothesizing the existence of a Fallacy of Mutual Inclusivity.
Autism Librarian