One of my favorite phrases is “a man convinced against his will is of the same opinion still” because it reminds me of the ever-useful principle that if someone has personal (and maybe even irrational) reasons to keep believing something they shouldn’t, like that they have a good chance at winning the lottery this time (no they don’t) and finally get out of the poverty that’s haunted them for decades, or that bitcoin is finally their ticket to entrepreneurial independence (probably not), or that the foreign prince really does want to send them money and all they need to do is buy iTunes gift cards and send him the numbers over the phone, no amount of facts are going to change their minds.