If I say math is a social construct, will I get lynched?
Mathematics are indeed a social construct. Remember, numbers, of themselves, have no physical existence. They only exist in our minds. We define one, for example, as the cardinality of any set which exhibits a bijective mapping to a certain set. There is no object or collection of objects which we can point at and say, "This is one". We merely create an idea and give it a name. We do this for all mathematical axioms and definitions. What follows, that is, the magnificent edifice of mathematics, is merely a restatement of these in a more elaborate form.