Lorraine Ford
It is not difficult to see that an equation, or a set of equations, can’t ever represent a moving system: equations can only ever represent static relationships in a moving system.
The underlying “mechanics” of a moving system is not representable by equations. And it is the underlying “mechanics” that is responsible for any movement, e.g. the arising of life (though the equations clearly restrict and/or shape outcomes).
If one wants to represent a moving system, like the whole moving universe and its parts, including living, moving organisms, one needs to use computer programs.
I.e., one needs to use the same sort of symbols used in computer programs in order to represent a moving system.
With manmade computer systems including AIs, symbolic computer programs are pre-conceived, planned, written and tested by people, and the symbolic programs are symbolically re-represented using voltages, transistors and circuits, which people are using as just another set of physical symbols.
But the real world was never pre-conceived, planned, written or tested, although there seem to be structural “law of nature” relationships, which people represent using equations.
And the real world has non-physical, non-measurable, logical aspects: these logical aspects are the underlying “mechanism” that make a moving physical system possible. But a computer system can only represent these non-physical aspects of the world in the same way it represents the physical aspects of the world, i.e. using physical voltages, transistors and circuits.
And the real world is not constructed out of symbols: the real world is the real thing, not a symbol of the thing.