In one of
my mystery novels (El Zahir de Quetzalcoatl) the protagonist must solve three
riddles, as in the classic fairy tales. The third puzzle consists of three
statements that cannot all be true or false. This enigma is what you might call
a trilemma.
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| C.S.Lewis |
A famous
trilemma (usually called the 3-L) was
formulated by C.S.Lewis to justify the divinity of Christ. Assuming that Christ
affirmed his own divinity, Lewis posed the following alternatives: either
Christ was a Lunatic, or a Liar, or he was the Lord. Of these three statements,
only one can be true, as each one excludes the other two.
On the
question of human freedom, whose reality is denied by deterministic philosophy,
Brigitte
Falkenburg proposes another trilemma, a little different, because in this
case any two of the three alternatives can be true, but then the third must be
false. This is her trilemma:






