Indeed but even mathematics are based on axioms, which in turn have to prove themselves in order for them to work. Mathematical axioms in the spectrum of engineering though can give us pretty good scientific results.
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You misunderstand the definition of axioms.
Axioms do not have to be proven in a logical framework. They are assumed to be true and do not need to be proven.
math doesn't need to be based on axioms. it's INDEPENDENT OF HUMAN EXPERIENCE. the base of math is based on a priori knowledge or simply said the truth.
you just went full dogma there....
math is a tool inspired by humans..nothing a priori there. everything they measure is based on how humans perceive reality. ..and humans have very limited senses in perceiving everything that exists around them.
Up and foremost they help us create relations ..when we run short though, we throw negative numbers, infinity, zero so we can make sense of things.
Same thing applies to language. We say "nothing" but every time there is something. We just omit the details, we overgeneralize, so we can communicate.
bro what's the result of 2+2?
in some cases 4. In some others 5.
https://math.stackexchange.com/questions/775273/contradiction-prove-22-5
Here is another one
http://www.businessinsider.com/2--2-doesnt-always-equal-4-2014-6
great. in both cases there were used logical deductions : MATH. bye
thats a straw-man argument girl. How can you bring up logic when you are not using any in your argument? also