Because you've said that nothing will make you stop believing those things. That would have to include things such as those beliefs turning out to be untrue. Thus you will inevitably end up holding untrue beliefs, since you refuse to abandon them even if shown to be untrue. So when you say you care about whether your beliefs are true, you have to be lying (or to be a little more generous: incorrect).
At the age of five, Skagra decided emphatically that God did not exist. This revelation tends to make most people in the universe who have it react in one of two ways - with relief or with despair. Only Skagra responded to it by thinking, 'Wait a second. That means there's a situation vacant.'