  Following the results of our recently published book (F. Lev, {\it Finite
mathematics as the foundation of classical mathematics and quantum theory. With
application to gravity and particle theory}. Springer (2020)), we discuss
different aspects of classical and finite mathematics and explain why finite
mathematics based on a finite ring of characteristic $p$ is more general
(fundamental) than classical mathematics: the former does not have foundational
problems, and the latter is a special degenerate case of the former in the
formal limit $p\to\infty$. In particular, quantum theory based on a finite ring
of characteristic $p$ is more general than standard quantum theory because the
latter is a special degenerate case of the former in the formal limit
$p\to\infty$.
