The flat-Earth model survives not because the Earth is flat, but because every time a problem is found, its proponents would quickly invent an ad-hoc hypothesis to explain the problem away. In turn, if they discover another problem in one of these ad-hoc hypotheses, they would be happy to invent another ad-hoc hypothesis to explain the problem away. And so on, and so forth.
These ad-hoc hypotheses are there to save their core belief —that the Earth is flat— from being falsified.
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