1) The placebo effect predicts that believing I'll get over a bout of the flu quickly increases my chances of getting over the flu quickly
2) I believe in the placebo effect and would like to get over the flu quickly
3) Therefore, I choose to believe I will get over the flu quickly.
There is no reason besides practicality to believe proposition 3), but if propositions 1) and 2) are accepted, proposition 3) follows naturally. To my own way of thinking, some beliefs are self-justifying, but I'd be interested to hear how your worldview deals with this example.
edit: spacing
I might consider this an edge case and include it in my worldview as an exception ;)