In science and mathematics one objective is to be as parsimonious as possible. This means that we try to develop theories using as few basic ideas as possible. Although subtraction is a convenient part of language we don't need it in mathematics because it can be thought of as negative subtraction. This is an example of parsimony.
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No,it doesn't.Let me give you some examples. 7-3=4 =7+(-3)=4
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
an axiom is a fact/property such as "ac = ca"
"A geometry rule that we accept to be true without any proof is called an axiom." "The axiom 'might makes right' is often true in the governments of the world.
who invented subtraction?