Below we will consider a few lines of logical thought. They will all take the form of proof by contradiction. This type of proof assumes the opposite of what it wants to prove, and then shows that this assumption leads to a contradiction. A contradiction occurs when a proposition is said to be both true and false at the same time and in the same sense. It is fundamental and obvious that contradictions cannot be true. For example, the material world cannot be the only world that exists and also not the only world that exists. If some proposition necessarily leads to a contradiction, then that proposition must be false. Thus, its opposite is true. So there’s some introductory logic for you.
In mathematics, there are many definitions of infinity, because there are many different infinities. The infinity that describes the number of points on a line is infinitely greater than the infinity that describes the number of integers that exist. But one particular definition of infinity has intrigued me in its ability to be turned into a metaphor.
That aesthetic, oh that frenetic aesthetic, how I yearn for that aesthetic! It is one of rambling, of chaos, of some hidden, immense meaning shrouded in obscurities, in riddles, in veiled mysteries, in thousands of pages of words. They scatter and are thrown, and fragment, and in fragmentation meaning arises. You look to your right and left and down and outside and on a tower and in a cave and it is everywhere but you can’t find it because it is too fast; you can almost see it but it constantly eludes. It is too large! Too large to be seen all at once, so it fractures itself, and drives you into itself to be lost and gain knowledge slowly and randomly, in bursts. Here you don’t understand and there you don’t understand but here is a connection and something is there; what does it mean? It is vague and maybe imaginary, but in its vagueness the subconscious, that holder of instinct, utters its voice and its voice thunders and smashes us as we sit there reading or listening and you know something has been said.