What is the most useless theorem in mathematics?
What is the most useless theorem in mathematics?
ZFC
a^2 + b^2 = c^2
perfect circles don't exist
All of them
Any pure math as what you described is by definition thus.
Invariance of domain
This is virtually impossible to answer. The majority of pure math published is not only useless in the real world, it's also useless to most other areas of math because it's not motivated by anything. It's a rare result that finds wide applicability. Usually mathematicians just pick some problem that looks interesting and then sort of file away the obstacles (i.e. things they can't prove) they reach along the way. Eventually, when a bunch of people run into the same obstacle over and over again, you sort of know that it would be important to solve it, and it becomes a big conjecture like the Riemann Hypothesis.
Less rarely do people start by trying to create a framework and definitions that will be adapted to the general principles behind a situation. Usually if you do so in the right way, it becomes very easy to prove things, and your results are more widely applicable. This is the "avocado approach" of Grothendieck.
Stop posting this street shitting chink
Pigeonhole principle
You cannot possibly have something more obvious than that shit
They do as varieties over fields of characteristic 2. The freshmen were right all along.