Infinity

There are thing that we can only imagine, such as the infinity. To think about something that does not exist in the world is an amazing experience. To the mathematicians, it is a place where the parallel lines meet, where any number of things is divided to no one, and a lot more definitions that altogether mean the same. But the interesting part about infinity is the paradoxes and the philosophies that are related to it.

One such paradox is the Dichotomy Paradox, it is very interesting to think about the infinity that lies within it. It says, to complete a given task, you must first reach to its half, and to complete its half is another task so you must have to complete its half in turn, thus you would have to complete infinite number of such tasks, which is not possible in theory. This is similar to another paradox that says, every two points have a point in between them and thus for a finite distance there exist an infinite points in between. To traverse through the distance would mean to pass through an infinite number of points, which is again not possible in theory. However, there are mathematical solutions to such paradoxes, but there hasn’t been an explanation for the same.

Another interesting theorem is, the infinite monkey theorem, it states that if a monkey hitting keys at random at a typewriter keyboard for an infinite amount of time will almost surely type a given texts, such as the works of William Shakespeare, the monkey here referring to a machine that randomises the letters that are being typed.

Thinking about the paradoxes and the theorems, is an ecstatic experience to the mind. To imagine the vastness of them, to which there is no limit, boundless. Infinite.