Why do you like Mathematics?

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I'm terrible at math alone, mainly because I can't pay attention during lectures. But I'm very good at math when it's applied to physical things, like engineering, which is my favorite subject. It fascinates me. I love patterns and figuring out how things work. That said, I only really love formulaic math, like algebra and calculus. I'm not a big fan of statistics or anything involving graphing. But there's something really satisfying about building a machine and then mathematically dissecting it and figuring out equations for all the things it does.

Precision and clarity. No unspoken or implied rules, no fuzzy, subjective perceptions. It's like a shelter to me.

Every area of mathematics has clear rules and I think that is very comforting.

My favorite area of mathematics is mathematical logic. I find recursion theory to be crucial in understanding both the limits and the wonders of algorithmic reasoning. I hope that some day in the near future we will see the P=NP problem solved (in the negative, I might add). There is no reason in my mind to see the problem as undecidable. Logical systems interest me, particularly in the area of non-monotonic logics. I'm very interested in studying defeasible reasoning. Category Theory is yet another interest - some day I hope to work through MacLane's Categories for the Working Mathematician as well.
I think my interest in this area is related to my interest in linguistics. I'm actually an English major, so I'm an autodidact in the field of logic (hence the presence of holes/gaps in my knowledge). I had an interest in technology and programming languages when I was younger, so I think this contributed to my interest in the scientific aspects of language (particularly syntax and semantics). I learned when I hit college that you didn't need to appreciate arithmetic to appreciate mathematics - I learned to appreciate the logical aesthetics of its foundations.

What I love(d) about it is that you can just sit down anywhere, with a piece of paper, and do amazingly creative things! People really have no idea that there exists this whole World of patterns, that there's so much unfathomable complexity.
I love(d) exploring seemingly simple things, and arrive at some really interesting results but I only showed them to 1 person and stopped contact.
Ahh... I used to say that I'm in love with her (math). I still am.. but now not so much romantic love.

I believe mathematic is more than a field of knowledge. It's something that makes existence possible (in the metaphysical sense), it's the origin of All, it's what supports my life, my consciousness, the Universe.

It can be so beautiful.

I especially loved manifolds, non-Euclidean geometry, that sort of spatial/conceptual thing. It has been so long since I studied them! But I feel very lucky to have been able to, and the memory is still there.

(I love many things I'm doing now too; programming, ecology/nature -related.)

I see it as a tool or a language to help us better understand physics.

Well partially because it's the closest you can get to truth, the world today is filled with so much disinformation and uncertainty that an elegant proof is something of it's own beauty. It's also challenging and not easy to understand (I should qualify this by von Neumann's saying, that you never truly understand mathematics but rather just get used to it), and so thus the difficulty and fear many people associate with math. I also feel like there's some supreme importance to understanding mathematics, much more so than any other subject. All of the sciences are based to some extent on an understanding of mathematics. Computing, my own field is born from mathematics, so in a sense I believe there is some truth in the statement, Mathematics is the language of god.

I struggle with mathematics, but I also see the beauty in it. The idea that there is this other world behind the "real" world that is elegant, logical, and infinitely deep. I just wish it came naturally to me. It's kind of depressing knowing how much there is that I'll never come close to understanding.

I like the philosophy of math.

The first question to ask yourself, "does math exist outside your brain"?

Some say, "yes" and that philosophical branch is called "math realism".
https://en.wikipedia.org/wiki/Philosophical_realism

Some say, "no" and that philosophical branch is called "math anti-realism".
https://en.wikipedia.org/wiki/Anti-realism

I like math because it enables me to build awesome crypto