Banter with Cantor

Okay, so I know I said that this post would be about the criticism and pushback I got from my work, but I just couldn't help myself from sharing another really cool thing I thought of!! So, yes, I lied, this blog post will not be about what I said it would, however, I expect to make well on that statement for the one right after this. With that being said, let's get into it. When you think of infinity, what do you think about? I asked one of my friends this and he mentioned "that sort of continuous x-axis line/arrow that just keeps going and going and going and never stops". I imagine this is a fairly common initial perception of infinity, which is all fine and dandy because we won't really be talking about infinities this time (well, we sort of will, but it isn't the main point). So to start, I'll explain to you what a perfect set  is. A perfect set is a set in space which has no isolated points  and is closed . This basically means that if you look a...

Now let’s get onto what all I’ve done in the field of mathematics. In short, I’m basically the founder of set theory, and I’ll tell you why. At the time (i.e. before my work to begin the study of set theory) the idea of a set was pretty simple and used as a sort of implicit and elementary basis, dating back all the way to stuff like what Aristotle came up with, so it was thought of as a sort of trivial concept along with its contents. Moreover, there were finite sets, and this abstractness of “the infinite” which was more of a philosophical topic than mathematical. However, I’m one of the dudes who showed that set theory isn’t just a trivial matter by shedding more light on some of its topics. In my first paper in 1874, I provided the first theorems of transfinite sets. A huge part of this is about these developed concepts of one-to-one correspondences, “countability” (having to do with cardinality), density (of sequences), and (probably most divisively) the existence of an infini...

        Hey, yo, you there! Dude, I don’t know how you stumbled across this, but regardless: Welcome to my blog! To make a long story short, I figured I should make a way to communicate what’s going on in my life to whomever (which obviously is everyone) is interested. As you might know, my name is Georg Cantor, and for a while now I’ve been chillin’ in this place that has a dope name… get this... it’s called a sanatorium . Fancy, eh? They say I’m crazy, but I think rather all of them are! I suppose there might be some good reasons considering some of my later years' depression from accusatory papers against me, attempts to disprove some of my work, on top of some family tragedies like when my youngest son died kept me in the dumps for a long time. So maybe they aren't completely  crazy, and I think it has been relatively useful at times. It’s a little empty, but not too bad since I have plenty to think about.  Speaking of which, I’ve been wor...