When there's no good reason or explanation for something, don't fret; chances are it's illogical — meaning that it has no rational explanation behind it.
The word logic has origins in the Greek root logos meaning "reason, idea, or word." But slap the prefix il- in front of it, and suddenly the word reverses its meaning. Illogical? Check out other words with the same prefix, like illegitimate and illegal, and you'll quickly see that the suffix il- in front of a word starting in "l" means "not." Suddenly the meaning of illogical isn't quite so illogical after all, is it?