I would say that this issue of evidence - based reasoning is what is being referred to very near the beginning of Lucretius' poem, and its position here as one of Epicurus' great accomplishments reflects its importance. Epicurus points to the method for unraveling "what can be, and what cannot - in what way each thing has its power limited - its deep-set boundary mark"
[62] When the life of man lay foul to see and grovelling upon the earth, crushed by the weight of religion, which showed her face from the realms of heaven, lowering upon mortals with dreadful mien, ’twas a man of Greece who dared first to raise his mortal eyes to meet her, and first to stand forth to meet her: him neither the stories of the gods nor thunderbolts checked, nor the sky with its revengeful roar, but all the more spurred the eager daring of his mind to yearn to be the first to burst through the close-set bolts upon the doors of nature. And so it was that the lively force of his mind won its way, and he passed on far beyond the fiery walls of the world, and in mind and spirit traversed the boundless whole; whence in victory he brings us tidings what can come to be and what cannot, yea and in what way each thing has its power limited, and its deepset boundary-stone. And so religion in revenge is cast beneath men’s feet and trampled, and victory raises us to heaven.