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math is a language. is language 'real'? the answer of course depends on your AXIOMS - ie: what list of criteria must be satisfied in order for an entity to be considered "real".
is the word "apple" real? it's real in the sense that we all agree that apples mean the fruits of apple trees but its not real in the sense that there is no connection between the word apple and the entity designated apple aside our identification of the fruit as the apple.
all languages are outside of the realm of what can be described as real, they are meta-real. sounds that serve as proxies to entities that exist in reality.
the problems arise in math when the language of math is used to describe entities OUTSIDE of reality. then you get crap like big bang, simulation theory and all sorts of other crap that can be expressed in the language of mathematics, yet has no physical analog.
the contents of all languages are outside of the rea/unreal duality, they are proxies, notions, compressions of reality that we use to speed up communication. mathematics is the most efficient compressor, moving directly into geometric observables (length/slope etc) from physical reality and circumventing the subjectivity in a way no language can (although all languages are subjective by definition)
