Jidechi ukor

Love, Hate and Mathematics

The fascinating effect of infinity on my love and hate for Mathematics

Interestingly, the concept that made me fall in love with maths is the same concept that is making me hate mathematics,

Imagine a world where everything is possible. What is the value of y as x approaches infinity? — Infinity.

In case you are yet to figure out the concept I am speaking of, hopefully by the end of this read you would find it.

But what is infinity?

Infinity is just as real as a unicorn or a dragon

Infinity is the largest number and also not the largest number.

Infinity is not a number; it is a direction. It is a destination you will never reach, but still exists between any two numbers, i.e 0 and 1.

Infinity is a concept that you and I will never know about.

Using an infinite amount of changes, we can find the area of any object

$1/\infty$ can be used to find the slope of a curve

A concept that does not exist is where we find existence - What a magical concept.

The Hate

How do I calculate something that does not exist?

How do I reason about a concept that is so abstract yet so real that it affects the modern world?

Infinity exists among numbers, but it is not a number; rather, it is a direction.

Asking to learn and love calculus is asking me to question everything I have known to this point.

Is Infinity perfection

I like to think that infinity is perfection, and just as it is impossible for us to reach infinity, so it is to reach perfection, but we can always try to get just a little closer.

$$ 1 /\infty = impossible \sim perfection $$

To infinity and beyond.