Connect the numbers and qualia directly

Numbers exist, in their natural style of exactness. We can make operations on them, and arrive at interesting relationships.

As an ideology, you might want to give formal foundations for numbers, through set theory or category theory, for example. However, as Bertrand Russell demonstrated, it is very easy to cause a havoc with self-referential structures in such approaches. These formal minimalistic frames of theory remain surprisingly futile. 

There is a human instinct which does not accept rich diversity of existence in a straightforward way. Numbers are numbers, but we simply cannot acknowledge them at their face values. 

The same goes for qualia. Although they are clearly here, people have tried to extinguish them, preferring more abstract and ultimately unproductive formal systems. 

It might be possible to bypass the barren land of formality altogether and connect the numbers and qualia directly, in the context hinted here.