Terms:

It might take belief to believe 1+1=2 because you have to agree with the terms. First, the sequences of the numbers, that it goes one, two, three, in that order.

Order

So, you believe in that order. Well, other people created that order. People invented the names to represent these numbers. So, the order is not 4, 6, 2, 9.... Instead, it is 1, 2, 3, 4....

Rules

We agree to terms of the operators, the signs, that addition (+) means combining the two, to go from one to two by counting both parties, the one and the other one to get a two.

Math Language

So, math is like a language. Yes, logical in the sense that it is a code. It is a system. It has rules. I'm using belief in the most general sense.

Math Stereotype

However, you are using a more specific definition or perspective for describing the application or stereotype to meaning to belief.

Not on the Same Page

So, in other words, we are not on the same page regarding this word, belief. So, from your perspective, I agree that math does not take belief in the sense that it is defined.

Predictable Science

Math has a defined system. It has a pattern. It is a science. Math is like a language. Math is like a code. Math is a system that can be repeated again and again.

Not Mysterious

So, in other words, it is not mysterious. It is not invisible. It is traceable, predictable. I agree with that.

But Defined by Who?

Math was defined. But who defined it? I agree that we don't have to or don't necessarily believe in math so to speak because it is defined. It has a law. It has rules. Math was defined. I agree with you on that. However, math may take belief in the sense that we believe in the people that defined math. Well, math has been around for a long time. We describe math through languages like English, currently. Of course, we could argue that math was discovered and not invented. But regardless of that debate, it still may take some bit of faith to believe in the terminology that math may use.

Belief in Facts

But beyond that, belief does not undo math, science, laws, rules, etc. So, in other words, you can believe in things that are facts. I know people like to separate belief from facts. But that does not mean that you cannot have faith on things that are objective, factual, and totally real. I believe in gravity. Now, if gravity is real, does that mean I am not believing in gravity? No. Both things can be true. Belief is all about choice. You can choose to believe in things that may or may not be true. That includes mathematics. Believe does not always mean that what you believe in is fantasy, fictional, not real, not provable, etc.