If there are any fallen angels then I will not rest until I save them, but as since I haven't seen any I don't think you guys will ever become fallen angels
I found this in my notes. Our real number system has a specific mathematical structure, and the 4 basic operations (+,–,*,/) must be defined in a specific way. In order for the real number system to "work" properly, there can be no well-defined value assigned to the expression 1 / 0. >We can't take the square root of -1, yet we can define i and use it. The set of complex numbers is something called an "algebraic completion." The structure of the real numbers, as we have defined them, naturallygivesrise to the set of complex numbers and its own structure. So the complex numbers already "exist" as the algebraic completion of the real numbers. The set of complex numbers doesn't fundamentally alter anything about the structure of the real numbers; instead, they complete it (algebraically). >why can't we define 1/0 as something and use it? Unlike the set of complex numbers, there is no way to include such a number "1/0" in such a way that the structure of the real numbers would be kept the way it is. You could add "1/0" if you wanted, but then you wouldn't have the real numbers anymore. You would have some arbitrary mathematical structure that can't be used for anything. Does that help?
I'll go become a fallen angel like you and kill myself if you want me to go I tried to kill myself, but I realized it couldn't happen cuz I'm so badass the bullet missed at point blank. #EgoLevelIsOver9000