Alarm. The dream wasn’t too interesting anyway. It was about… zebras? I already can’t remember. It must have really not been interesting.
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.