The Inner Disparity in Mathematics

Mathematicians like to study how complicated are certain mathematical objects so we can prove that yeah this object requires this level of sophistication to define to understand in a certain sense. So what i like to do is not just sort of have a you know a dictionary of this mathematical object is as complicated that's part of what we do but it's much more so take a theorem in mathematics something that's been proven um and if you can it says maybe every every object for every object there's another object that has a certain property this is a seaside of mathematics say. The relationship between the inputs and outputs is very complicated with periods ambiguity periodYeah right but that gives us the ability to do