1 is derived from 0, by rewriting the 0. Rewriting is when you present the same information in another form. Like the pits on a dvd can be rewritten as electrons in RAM memory. Pits are rewritten as electrons, the 0 is rewritten as a 1. The principle mathematical relationship between 0 and 1 is therefore boolean interchangeability. So that is how mathematics is ordered by 0, and then this can be expanded to derive all mathematical operators, and natural numbers, and surreal numbers etc. (not that I actually understand how to derive that)
You're very right in what you say...
Mathematics is based on 0=0, empty sets and nothing. But that nothing would be pure consciousness, primordial consciousness, cosmic consciousness, pure energy/pure light... whatever one wishes to call such.
Our brains and bodies also would be complex mathematical formulas that interpret other complex mathematical formulas. I would just prefer to call it a brain rather than a complex mathematical formula. Or if I pick up a leaf, I prefer to experience/know a leaf as opposed to just picking up and processing another mathematical formula. By all means, that's the process that occurs though.
The brain and body process information with its logic gates of the cranial nerves, using Boolean, some have penetrated beyond those gates and experienced the awe, magificent, wonderful, whole mind... the pearly wisdom gates.
We would have to think of energy as information in motion. In-formation. In-form. Wave-particle. Waves in form. It's all electric.
Without awareness, there would be no such thing as mathematics. Deducing and regressing.... all there is is mind. Whether our awareness/memory is a field of waves/electromagnetic energy or consciousness. There is nothing to base, define, experiment, understand without awareness.
We can base reality off of nothing, empty sets, and mathematics.... but that nothing is still something and it's consciousness, conscious energy, conscious light..... Whatever we personally like as its name.
For me, it makes the most sense to understand and know the virtual particles, photon's, waves, etc. and see how they are experimented. They do the same things within our own bodies. But it's the reality and experience of them that matters, not so much having knowledge of them.
There is still that powerful driving source that is beyond logic and explanation... it just is and can only be experienced.