On Philomatics and Psychomatics for Combining Philosophy and Psychology
  with Mathematics
Benyamin Ghojogh Morteza Babaie
We propose the concepts of philomatics and psychomatics as hybrid
combinations of philosophy and psychology with mathematics. We explain four
motivations for this combination which are fulfilling the desire of analytical
philosophy, proposing science of philosophy, justifying mathematical algorithms
by philosophy, and abstraction in both philosophy and mathematics. We enumerate
various examples for philomatics and psychomatics, some of which are explained
in more depth. The first example is the analysis of relation between the
context principle, semantic holism, and the usage theory of meaning with the
attention mechanism in mathematics. The other example is on the relations of
Plato's theory of forms in philosophy with the holographic principle in string
theory, object-oriented programming, and machine learning. Finally, the
relation between Wittgenstein's family resemblance and clustering in
mathematics is explained. This paper opens the door of research for combining
philosophy and psychology with mathematics.