Kevin Davidsaver

My name is Kevin Davidsaver, and I'm a senior majoring in math. I'm from Bishop Hill, Illinois originally and plan to go to grad school at some point, again to study math. I like algebra, also set theory, so here is a statement about cardinal numbers. $2^{\aleph_0} = c = |\mathbb{R}|$. Here's another, but have fun trying to prove it. $2^{\aleph_0} = \aleph_1$. For some algebra, the properties of cyclic groups say that, given $n \in \mathbb{N}$, $\sum_{d | n} \varphi(d) = n$ where $\varphi$ is the Euler phi function.