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!
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.
K&L: Democracy depends upon family values.
M&K: Popular culture strengthens democracy.
L&M: Popular culture weakens family values.
M&L: Tweedledee is more moral than Tweedledum.
L&K: Only the moral should be President.
K&M: Tweedledum should be President.
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.
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.
K&L: Some people are victims.
M&K: Victims deserve special treatment.
L&M: Everybody deserves equal treatment.