Science is the study of observable reality, where we can observe physical objects. Maths has no physical observable reality, it is merely a method of understanding the world, created by the human mind. It is a faith system upon which we have come to rely upon for understanding our World.

In the year 2,000 I had a West Papuan student live with me for six months, his family and tribe was from a mountainous area who had learned to survive on basic things in their environment. They only had specific terms for up to three objects, so while he was with me he set about creating a mathematical system for them to learn maths in their language. The term one is not a physical reality it is a title given to a single item, but the item is not called one.

Maths like religion is merely a way of humans interpreting the Universe. It is a faith system.

Neither.

https://en.wikipedia.org/wiki/Mathematics

Dear Josephus,

Well my friend there was a hell of a lot of Math involved in getting a man to the moon. I might need you to tell me what parts they were content to leave up to faith.

Dear Josephus,

If you had been to university (and studied something other than one of the trade degrees) you would know the answer to that question.

Check this out

https://curiosity.com/paths/is-math-a-feature-of-the-universe-or-a-feature-of-human-creation-idea-channel-pbs-pbs-idea-cha

Jospheus there is no definitive answer to your question.

Some mathematicians/physicists due actually think that the universe is maths (not just described by maths but actually *is* maths-- some ancient Greeks had this idea as well). Search for the "Mathematical universe hypothesis" by Tegmark and also "Mathematical Monism" for more.

While others think that it is just a purely a computational construct and that it is just boring/meaningless symbolic manipulation according to set rules. People who do "maths" just agree on a set of rules to play by and then make "moves" according to those rules. For them it is just pure fluke that it can be useful at all in describing the real world (whatever the "real world" is). If I remember rightly Hilbert (a very famous mathematician of the 19/20th centuries) was of this opinion and said something that is commonly quoted that explains this position (can't remember the quote but it mentions tables and beer mugs, google would find it if your interested).

Yet others say that maths is an empirical study and that we can only know maths by observing the universe by empirical study like any other science.

There are even other schools of thought about maths. Wikipedia has an article on the philosophy of maths that lists various approaches/schools of thought. It's been a while since I've seen it but it used to list at least 5 different philosophical view points.

ps-- I myself am tending towards intuitionism/constructivism.