Example fact: the word "literally" means consistent with reality, not exaggerated or fanciful. Is that what "literally" means -- yes or no? Let's resolve this by looking up a dictionary definition:
http://www.merriam-webster.com/dictionary/literally
Definition 1 : in a literal sense or manner : actually <took the remark literally> <was literally insane>
Definition 2: in effect : virtually <will literally turn the world upside down to combat cruelty or injustice — Norman Cousins>
Take you pick -- "literally" either means according to reality, or according to the speaker's fancy.
Another example fact (something many people believe): "After a long losing streak while gambling, statistics says my luck should improve." True or false? It's false -- the above is called the "Gamber's Fallacy".
More here: http://arachnoid.com/wrong/ ("Everything you know is Wrong")