Earlier quoted context omitted.
Pick 3 random stones and arrange them so that they form a straight line. Does the line "exist"? If you consider that only the atoms "count" for existing, then the line does not exist. (Neither do the stones, by the way - since they are constantly exchanging minor quantities of atoms and electrons with the rest of the environment, the set that defines what each stone is is constantly changing. But let's ignore that bi…
You are conflating abstract reasoning with consciousness. Your invisible line has no effect on the substrate, because the line does not exists. Consciousness effects the mind/brain/body complex. The lines you describe are placed by your intuition. Most math is intuitive as such, and exists outside of mind, which is why anybody can "discover" axioms, ratios, etc. If your notion was correct, only a perfect atomic order…
Or so it seems. It's entirely possible that consciousness is just post-factum rationalization of what the body did.
Have you noticed that sometimes you make a decision but don't do it, and sometimes you make a decision and do it?
> If your notion was correct, only a perfect atomic ordering inside the brain would create a precise and useful thought, such as how to find the ratio of radius to diameter.
Does not follow.