Very informative post. Upvoted and resteemed.
LOL, Just Kidding.
The only way that someone could demonstrate that someone is in fact, lying, is when the lie is based in an act that the individual was (or wasn't) involved. In that case, there's a possible way to find out.
To catch a lie based on what someone thinks es nearly impossible. So most of the time people are wrong, until there is an act from that person that opposes his thinking, then is indeed, a lie.