On the
Lois Lane Trilemma
Here
is an Identity Breakdown Voter’s Paradox:
Moe
Larry Curly
Can Superman
fly? yes no yes
Is Clark Kent
Superman? yes yes no
Can Clark Kent
fly? yes
no no
Majorities
believe:
*
Superman can fly.
*
Clark Kent is Superman.
*
Clark Kent can’t fly.
I
also call this the Lois Lane Trilemma.
All three pass, but they cannot all be true at once. Any two imply the negation
of the third; so the trilemma implies three deduction rules:
If
Superman can fly
and
Clark Kent is Superman
then
Clark Kent can fly.
If
Clark Kent is Superman
and
Clark Kent can’t fly
then
Superman can’t fly.
If
Clark Kent can’t fly
and
Superman can fly
then
Clark Kent is not Superman.
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