Ya, I am addicted to Tensors. Before I try to describe that addiction, I would like to say what Tensors are.
An nth-tensor in m-dimensional space is a mathematical object that has n indices m^n components and obeys certain transformation rules. You get it? Well, you may not, or you may, but you are free to try to feel the tensors, you may try to think of this abstract mathematical object, you may try to touch it with your mind.
I try to do those, and there is my addiction. When I start to to think about Tensors, I go completely drugged. It feels good to think about those abstract relations. Linear algebra is one of those mathematical topics which requires real human mind. I believe everybody has a mind, this post is an invitation for that kind of thinking, you don’t need to be mathematically trained to get addicted, just Google up some tensor articles, read them and get addicted (unlike any addiction, tensor addiction is safe, but a bit time consuming, it will have you sitting quietly on your chair).
To me higher mathematics is just learning the notations, and learning how to use the and where to use them, because it is the instinct of our mind to do mathematics. We need notations to express them, just like poetry. But you don’t really have to write down notations after notation on pages to do mathematics, that is just an aid to memory and a processing ground.
I pointed out tensors because I think it is a good place to start the addiction, and I think there are other topics at the heart of mathematics which are addictive i.e. category theory, complexity classes, symmetries etc. I didn’t move to Category Theory yet, when I do, I will inform my beloved readers.
And, lastly, get addicted to science!
I didn’t really describe that addiction of tensors I told I will. Well, the truth is; I cannot describe that, feel it yourself, and don’t try to make a complete meaning out of this post, because this post itself is abstract.