That recognition, and that satisfaction, is what this legend provides. Intoxicatingly heady stuff, that. No wonder this tale has survived from generation to generation and withstood the ravages of countless debunkings. Nonetheless, its factual details are wrong, the scientific processes it describes are dubious, and its premise of a "missing day" depends upon some very selective and questionable intepretations of scripture.
Authenticity matters little, though: our willingness to accept legends depends far more upon their expression of concepts we want to believe than upon their plausibility. If the sun once really did stand still for a day, the best evidence we'd have for proving it would be the accounts of people who saw it happen. That is what the Bible is said to offer. Some people accept that as sufficient proof, and others don't.
Read more at http://www.snopes.com/religion/lostday.asp#pWcH8rTcilmJTXzX.99