My favorite conflicting advice;

1. Don’t fight the tape.

2. Be greedy when others are fearful and fearful when others are greedy.

Also, the two versions of the gambler’s fallacy. When you are on a winning streak you “have the hot hand” but when you are losing, you’re “due” for a win.

These things precisely cancel and we invoke them as needed to do what we want with a nice rationalization.