So obviously this isn't new per se (but somehow relevant). Since all logical systems of thought require assumptions the best you can hope for is to know all of your assumptions and hope it is logically consistent. Also the "level" for which you make your assumptions is arbitrary from this perspective. Mathematicians always try to boil it down to the bear bones but for other systems this isn't necessary. Obviously the "higher the level" of assumptions the more likely you are going to miss assumptions and that it won't be logically consistent. In this sense this is kind of how the "hard" sciences transition into the softer ones. There are plenty of things that don't get fully addressed when you move from chemistry to biology but they just get paved over with assumptions and are attempted to be made logically consistent.uncertainty wrote: So far as I can tell there are only two "realms" or "realities" that we as humans inhibit: the internal and the external. The internal is the "realm of the mind" and the external is the "physical universe".
Some how I feel oddly refreshed by the "two realms" abstractions. Its not like it is an entirely new train of thought in its own right. What appeals to me is the fact that its not really a science/philosophy thing and its not an art thing. I know the arts side is more comfortable making trains of thought with no correspondence with being real but from a "STEM" background (even in higher math) it is less of a "thing". It is somehow weird to create an abstraction that is very likely not true but regardless helps in some capacity as a "perspective" for moving the conversation forward. Just abandoning the pretense that a mental model has to be right vs helping to gain any insight. If all models are inherently broken part of it becomes an art of constructing false models that help our understanding. Models after all are just another logical system.
Models represent ways for us as humans to compression information from our experience (from either the "physical" or "mental"). The fewer and more general the assumptions the model contains while remaining logically consistent the more information the model "contains". From this perspective it would seem that math is the most information dense field of study and why it requires so much mental effort....