It doesn't really work this way. And to demonstrate, I bring up the prime numbers.

What many people don't quite understand is that mathematics, like the sciences does not invent things, it discovers them. The structures are already there. We did not invent cells, electricity, or gravity. They were already there. All Mathematics does is name them, categorize them, and show properties that they have. There is nothing human about the prime numbers, for instance. There really is nothing human about mathematics.

Counting is essentially the building block of all of mathematics. 1 2 3 etc... There is no other way to count than the way we count. Is this because of our definition of counting? Well of course, but it is nonetheless true. If Aliens were to count, they would have to count this way. Can I construct systems where 1+1=1? Of course. Consider clouds. If you add two clouds together, you just get a cloud. However, counting is still not changed. In order to even ask the question, I need to be able to discretely differentiate clouds, which means that counting is still there. You simply have a bizarre algebra on top of it.

To even consider a universe where counting goes by different rules is mind-boggling, because it would require the impossibility of discrete objects. Even waves would have peaks and valleys they would be able to be counted. Time generates rhythm and beats that would be counted. And there is only one way to count.

And once you realize there is only one way to count. You realize that addition gives us multiplication and that gives us the prime numbers. We didn't invent prime numbers. We discovered them.