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I think you kad want to read some world of Bertrand Russel on philosophy of mathematics.
Generally, we take existenxe of numbers for granted, and even though simple operations, such as counting and addition seem trivial to us, when you try to explain it, it is not as easy.
You can argue that number as we know them, or that little we know of them is because of axiomatic systems we use and so on.
Peano axioms are one example
