Another classic example of the brain's hackishness, which does not seem to have been mentioned here before, is the sentence, "More people have been to Russia than I have." If you say this sentence to someone (try it!), they'll at first claim that it was a perfectly reasonable, grammatical sentence. But then you ask them what it means, they'll start to say something, then stop, look confused, and laugh.

(Yes, there is a parsing of "have" as "possess", but this is (a) precluded by inflection, and (b) not ever what someone initially comes up with).