Steve Dufourny
Steve,
As you know, I always say the same things, and this is no exception.
Mathematical system:
We are talking about a mathematical system, i.e. a real-world system where the measurable aspects can only be symbolically represented using mathematical symbols for categories, numbers and relationships. If you think that some other types of symbols are necessary, then please explain what you think these other types of symbols are.
Consciousness:
Consciousness/ knowledge/ awareness is the fundamentally necessary aspect of small parts of the real-world mathematical system that says what is true, according to that small part. This “what is true” aspect is NOT covered by the mathematical symbols for categories, numbers and relationships.
This fundamental-level consciousness of what is true can only be symbolically represented using algorithmic/ logical symbols, as well as the symbols for categories, numbers and relationships.
Agency:
Libertarian free will/ agency is the fundamentally necessary aspect of small parts of the real-world mathematical system that initiates number movement in that small part. This “initiation of number movement” aspect is NOT covered by the mathematical symbols for categories, numbers and relationships.
This fundamental-level movement/ agency can only be symbolically represented using algorithmic/ logical symbols, as well as the symbols for categories, numbers and relationships.
How a mathematical system works:
I’m saying that consciousness and agency are the necessary working parts that explain how a mathematical system works. If you disagree, then please explain how you think mathematics or a mathematical system works.