I think that there are 3 choices for the nature of consciousness, in a mathematical system:
- Relabelling – consciousness is not separate. Consciousness is not separate to the existing zombie mathematical system. So, knowledge, thoughts, and feelings are just a relabelling of small regions of the existing zombie mathematical system.
- Emergence – consciousness is a separate thing that emerges. Consciousness is a separate thing that emerges from the existing zombie mathematical system. I have previously explained why emergence is a failed idea because nothing actually emerges from model mathematical systems.
- Separate part – consciousness is separate. Consciousness is a separate and distinct, but necessary, part of the zombie mathematical system. In which case the “zombie” mathematical system is not actually a zombie mathematical system after all. Knowledge, thoughts, and feelings signify that there exists a separate and distinct, but necessary, consciousness aspect of the world.
What is a mathematical system?
There is an idea that the real-world mathematical system can be described in terms of 3 things: categories (like mass and position), relationships between these categories, and numbers that apply to the categories. This is the zombie mathematical system idea.
But I’m saying that the real-world mathematical system requires at least 4 things to describe it: categories (like mass and position), relationships between these categories, numbers that apply to the categories, AND logical connectives. Consciousness is a logical connective in the mathematical system.