A false faith is an argument that:
An example is the idea that a chicken is a bird because all birds have eyes.
From this we see that yes, a chicken is a bird – but the reason why a chicken is a bird is not because all birds have eyes.
Another example would be, that whenever you hit a machine and it starts working again that hitting the machine fixes the machine. There may be some reason why the machine was jarred into operation or a lose piece was temporarily in the correct place, but the notion of hitting a machine in the right spot to fix it is a false belief. Nevertheless, hitting a machine to fix it does sometimes work.
An example is the beresheit argument of Secret Bible Theory. The argument is self-evidently false, but because it confirms the Christian belief many Christians will argue it's veracity, claiming it is obviously true and that only a nonbeliever could misinterpret it.