"And perhaps, posterity will thank me for having shown it that the ancients did not know everything"

In this quote, Pierre de Fermat is revealing his belief that future generations will appreciate him for challenging the concept that the ancients were all-knowing. He recommends that the ancients, who are typically revered for their wisdom and understanding, were not foolproof and may have been mistaken about particular things. By acknowledging this, Fermat is highlighting the value of critical thinking and questioning recognized beliefs. He is likewise implying that progress and development can just be attained by challenging and expanding upon the knowledge of the past. Eventually, Fermat's words work as a reminder to not blindly accept everything we are told, however to continuously look for new understanding and knowledge.