My question is this: would using ALL COMBINATIONS of operators, and using one to ten as values (there are only ten distinct digits in decimal mathematics) would one of them produce artificial intelligence?
Intelligence is a sophisticated "interactive arrangement of parts" that responds to the input of information from outside itself and from memory, in ways that qualify it for an institution's standards for sapience. So obviously there would be systematic configurations which engender such (given that human bodies exhibit the characteristic). But when simulated by signs upon paper (etc), it would require tokens which represent rules and relationships and procedures (the coordinated organization), not just passive measurements or sets of quantity in isolation.
When abstractly divorced from corporeality as a particular substrate (biological tissue, clockwork mechanism, hydraulic technology, electronics product, etc)... Artificial Intelligence would be a complex, working relational structure whose collective specialized functions equate to that summary label ("intelligence") deserving to be attached to it by human experts. Whatever system of signs and symbols (across multiple disciplines, not just mathematics) that was used to represent / simulate it beforehand "on paper" (before its construction / corporeal realization) would be just that: Those tokens lack causal power to yield anything apart from their influence upon people (those who understand what they mean).
John Searle's
Chinese Room thought experiment was an early predecessor to the eventual
symbol grounding problem. It illustrated the lack of meaning in symbol handling, in which signs circularly referred to each other like words in a dictionary, never escaping to the experienced world of consciousness with respect to what the words of a dictionary ultimately represented. Tokens have to be either converted into or connected to the things and actions in the real or sensible world which they represent, including when/if they're the kind used in the "planning stage" or an aspect of the mere blueprint for an AI.
Abstract signs (quantitative and otherwise) are placeholders used to depict a similarly abstract construct or to carry out a creative process / thought outside the mind (on display for others). They don't have the potency to be, or to conjure, any concrete _X_ or result which they might represent subsumed under their generality. "2+2=4" is empty or stripped of empirical content, it doesn't single out specific phenomena like "apples", much less one set of apples combining with another, nor does the expression conjure apples.
Computer were originally calculators. They still are. Digital involves assigning a number to a colour or sound etc., i.e. [...] The same is true of a spectrum to produce colours: a number is assigned according to how much Red, Green or Blue (RGB) is to be selected, and applied to a location on the screen (x,y.)
The movement of computer games involves moving these colours at specific locations to another x or y, or rotating the screen a specific angle, which gives the mirage of movement. However it is simply digital.
If we take into account the actual physical substrate of a computer which makes its procedural routines possible, there are no quantitative symbols / signs brutely found inside it or that are performing in place of the physical properties. But only the dense circuitry of microscopic electronic components etched / chemically doped onto wafers which manipulate electricity and exercise sets of on/off states within the boundaries of that intricate configuration or design (its connective scheme for operation). The higher level programming languages invented / entertained by the thought and discourse of people in the industry and their communications with each other, likewise evaporate into functional, connective arrangements of on/off states in terms of the computer technology itself.
But the relevant engineers and assorted wonks could descriptively superimpose upon or correlate numerical values and algorithmic processes to the applicable electronic states of the parts and active circuitry. Again, our useful "signs" can be be attached as identifications for the "stuff" of the physical substrate (depicting the functional roles which the components are playing and the scheme / template they are conforming to).
