Consider the case of Franz, philosophy discussion help

This discussion need 200 words.no reference no plagiarism.One putative example of irrationality is maintaining a belief in light of the knowledge that the belief is false.

Consider the case of Franz. Franz believes x and then later is presented with a convincing case demonstrating that x is in fact false. Franz understands the case completely and concedes that it does in fact prove that x is false. If Franz persisted in his believe in x, would he be guilty of irrational behavior?

More generally, is it always irrational to hold/maintain beliefs that are or are likely to be false? If so, why? In either case, please discuss an example (real or fictitious) or two that illustrates your position.