Steve Dufourny
Hi Steve,
I doubt that the world is quite as mathematically complicated as some people (e.g. Bob Coecke) seem to think, because I think that there exist logical connective aspects of the world that people are trying to represent as mathematical relationships, and it can’t be done.
The bigger picture is that the world is necessarily a self-contained, self-sufficient, standalone thing. There is nothing outside the world. So, the world is necessarily creative: it created its own specific categories, mathematical relationships between categories, and numbers, as well as assigning some numbers to some of the categories, where number assignment is also a creative act. Creativity is a logically necessary aspect of the world, and it hasn’t disappeared.
But the abovementioned categories, relationships and numbers are insufficient to account for a moving system; a moving system also requires logical connective aspects. And a moving system also requires multiple entities, e.g. particles.
To represent a moving system, you need to use the type of logical connective symbols used in computer programs. The logical connective symbols AND, OR, and IS TRUE, are used in statements to represent knowledge of the numbers that apply to the categories. And the logical connective symbols IF and THEN, are used in statements to represent the assignment of numbers to the categories, in response to particular situations.
So, the multiple entities in the real-world moving system (e.g. particles) play a necessary part in a moving system because they perform these logically necessary "tasks" in a moving system:
• Knowledge/ consciousness/ being an observer.
• Creativity/ free will/ the ability to assign numbers to categories, i.e. the ability to “quantum number jump”.
But on the very important issue of relativity, I have nothing to say. Except to say that time is clearly a category that is not so much a mathematical relationship, but more like a category that is the result of a primitive logical analysis of a situation, an analysis that requires the system to have logical aspects. These logical aspects are performed by the entities in a moving system (e.g. particles).