November 17
An example of a counterfactual condition is the following: ``If
McCain had won in 2008, then Joe Biden would have been vice
president.'' Normally, we would look upon this as an if-then
sentence, if P then Q. The P here is false and the Q is true, so by
convention, we would say that the sentence is true. On the other
hand, this doesn't seem to capture the real meaning of the
sentence. To one who has not been handicapped by a semester of
logic, this sentence has something fundamentally wrong with it.
Common sense would tell us that if McCain had won, Sarah Palin
would have been vice president, not Joe Biden.
This sentence cannot be adequately understood without considering
alternative universes: worlds in which the P (``McCain wins'') is
true. Jim 1 asks Jim 2 who won in 2008 in his universe. Jim 2
says Obama. Jim 1 suggests using the time machine to search for
more alternative universes, hoping to find one where McCain won.
Tom 1 and Tom 2 think this is dangerously stupid. If you agree
with Jim 1, Click here. If you are a
stick-in-the-mud, Click here.