Science has mistakenly assumed that, in order to do its mathematical processing, the real-world system, or small parts of the real-world system, must somehow automatically know what its own on-the spot mathematical categories, relationships and numbers are.
But it is illogical to assume that this knowledge just automatically exists, and in fact a separate on-the-spot knowledge/ consciousness aspect of the world is required. In other words, consciousness is a basic, first-principles, aspect of the world.
This knowledge/ consciousness aspect (of the mathematical categories, relationships and numbers) is the foundation for all higher-level knowledge and consciousness, where higher-level consciousness is an executive-level analysis and collation of the myriad separate items of the foundational-level knowledge.
The mistaken assumption about the real-world mathematical system clearly originates from a corresponding mistaken assumption about man-made mathematics.
The mistaken assumption is that man-made mathematics can exist without the consciousness and agency of human mathematicians. But man-made mathematics CAN’T exist without the consciousness and agency of the human mathematicians driving it.
Similarly, the real-world mathematical system CAN’T exist without the small parts of the real-world system having a knowledge/ consciousness aspect, and a free will/ agency aspect, driving the system.