I support the conclusion of this XKCD comic, but the math always seemed off to me. Lets say your dictionary has 100,000 words[0], and your attacker has access to the same list. If the attacker knows that you have chosen four words off of that list, he still only has a 1/4,166,416,671,249,975,000 chance of guessing the right permutation (not combination!). That's less than 2^61, which is certainly very secure. However…
That's not to say that it's impenetrable. It's just making it less convenient to crack which seems to be the name of the security game.