Let's say, for example, someone holds firmly to the belief that the Earth is flat.
One might "challenge" that belief by presenting his or her interlocutor with the evidence of the many circumnavigations of the Planet Earth, terrestrial and celestial.
https://en.wikipedia.org/wiki/List_of_circumnavigations
One's interlocutor might still cling to the (frankly, obviously erroneous) belief (people are stubborn that way), but nevertheless, the belief, to the mind of most sentient beings, has been successfully "challenged."