I appreciate your comments but I’m having trouble seeing your point with regards to the idea. To reiterate, with regards to your last paragraph,
… that some can be interpreted in manners relevant to the external world …
I’m proposing that these interpretations work because the internal physical systems (the territory) obeys the same properties as consistent mathematical systems—see my comment to TM below.
There is a great deal of difference between it operating, in certain regards, on the same sort of rules (rules isomorphic to) mathematics, and mathematics being applicable because physics isn’t logically inconsistent. It’s not a logical contradiction to say that two points have the same position, nor to say that 2+2=1 (for the latter, consider arithmetic modulo 3). Nor can maths be deduced purely from logic; partly because logic doesn’t require the existence of more than one object.
Russell did try to deduce maths from logic plus some axioms about how the world worked—that there were an infinite number of things, etc., but the applicability of the maths is always going to be an empirical question.
I appreciate your comments but I’m having trouble seeing your point with regards to the idea. To reiterate, with regards to your last paragraph,
I’m proposing that these interpretations work because the internal physical systems (the territory) obeys the same properties as consistent mathematical systems—see my comment to TM below.
There is a great deal of difference between it operating, in certain regards, on the same sort of rules (rules isomorphic to) mathematics, and mathematics being applicable because physics isn’t logically inconsistent. It’s not a logical contradiction to say that two points have the same position, nor to say that 2+2=1 (for the latter, consider arithmetic modulo 3). Nor can maths be deduced purely from logic; partly because logic doesn’t require the existence of more than one object.
Russell did try to deduce maths from logic plus some axioms about how the world worked—that there were an infinite number of things, etc., but the applicability of the maths is always going to be an empirical question.