Degrees? Degrees are for thermometers. Radians are cooler!!

For the questions of infinity, and the nature of infinity in relation to mathematics, check out the ideas of Cantor. He's the guy who started trying to give these concepts mathematical rigor.

Then there's Wildberger, who doesn't even believe in an infinite set.

Then there's the Continuum hypothesis, which basically asks about finding "degrees" of infinity. How do you compare infinities? Damn ordinals!

No wonder a lot of mathematicians/logicians turn to the bottle. .