Expanding Troikas
Here is the “French Film
Paradox”, with thanks to Matthew Groening:
(2/3): The French are funny.
(2/3): Sex is funny.
(2/3): Comedies are funny.
Yet all agree that no French sex
comedies are funny!
We can explain this troika by
“expanding” it thus:
Moe: The French and sex are
funny, but not comedies;
Larry: Comedies and the French
are funny, but not sex;
Curly: Sex and comedies are
funny, but not the French.
Or consider this “Lifeline Strong Majority”:
2/3: Old age is not O.K.
2/3: Adulthood is not O.K.
2/3: Childhood is O.K.
2/3: Most of life is O.K.
You
can expand this to:
Moe:
None of life is O.K.
Larry:
Adulthood and childhood are O.K.
Curly:
Old age and childhood are O.K.
Exercise for the reader: expand the following troikas:
“Lifeline Weak Majority”:
2/3: Old age is wise.
2/3: Adulthood is wise.
2/3: Childhood is foolish.
2/3: Most of life is foolish.
“Intellectual Property Troika”:
L&M: Speech is information.
M&K: Information is property.
K&L: Property is not free.
Yet all agree that speech is
free!
“Libertarian Troika”:
M&K: The free market fosters
competition.
L&M: Competition undermines
civic virtue.
K&L: Prosperity requires
civic virtue.
Yet all agree that the free
market brings prosperity.
“Traditionalist Troika”:
K&L: Democracy depends upon
family values.
M&K: Popular culture
strengthens democracy.
L&M: Popular culture weakens
family values.
“Presidential Troika”:
M&L: Tweedledee is more moral
than Tweedledum.
L&K: Only the moral should be
President.
K&M: Tweedledum should be
President.
“Downsizing Troika”:
M&K: Corporations help the
economy grow.
K&L: The economy can grow
only if there are more jobs.
L&M: Corporations reduce the
number of jobs.
“Unborn Troika”:
M&L: The rights of the unborn
are low just after conception.
L&K: The rights of the unborn
are high just before birth.
K&M: The rights of the unborn
do not increase during gestation.
“P.C. Troika”:
K&L: Some people are victims.
M&K: Victims deserve special
treatment.
L&M: Everybody deserves equal
treatment.
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