Is this (or is not) a pipe?

Abstract

In this text we approach the usual separation between representation and represented, between fiction and reality, as well as their relationship with "truth". These aspects are evidenced to discuss implications for the Mathematics classroom and for the Mathematics Education, specifically for the History of Mathematics Education. Our positions are strongly supported in Ludwig Wittgenstein's writes in his second phase, having as main work the book Philosophical Investigations. In this way, the notion of language games and family similarities are central to our discussion, which attempts to abandon essentialism and a Platonist view of knowledge. The separation between fiction and reality is left behind, as far as epistemology is concerned, this separation no longer makes sense, and then we propose to think of the potentialities and effects of our academic production.