  We argue about the following concepts:(i)introduction of endo and
exo-observer of a physical system (ii) possible relation between endo,
exo-observer and continuum/discrete nature of the same system (iii)the
distinction about two categories of observers do not help to solve the basic
nature(continuum/discrete)of the system considered. We argue that discrete math
tool utilized to describe behavior of a physical system is to ascribe to the
exo-observer description. In other words, discreteness nature of a system is
due at the presence of an external observer description, the observation act.
Vice versa, we retain, that endo-observer description give us a continuum
nature of the system but only in a Platonic realm. Finally, we retain that a
real theory of the state of matter could to build a real independence from the
observer. These brief considerations open a discussion on the foundations of
discrete math tools and their relation with the observation act, included the
possible extension to foundations of the quantum mechanics.
