Maths is a tool created by humans, same as logic.
The reason some people think that it is something more fundamental than a made up tool is because it contains universal constants such as pi. But there are arbitrary assumptions being made in Maths and logic and there are fields that Maths is not suited to, such as emergent phenomena. If Maths and logic was anything more than a tool then we wouldn't have so many different versions such as statistics, geometry, fuzzy logic, predicate calculus, the theory of computation etc.
What I'd love to see is Alien Mathematics and find out how it differed from our own tool.
The reason some people think that it is something more fundamental than a made up tool is because it contains universal constants such as pi. But there are arbitrary assumptions being made in Maths and logic and there are fields that Maths is not suited to, such as emergent phenomena. If Maths and logic was anything more than a tool then we wouldn't have so many different versions such as statistics, geometry, fuzzy logic, predicate calculus, the theory of computation etc.
What I'd love to see is Alien Mathematics and find out how it differed from our own tool.