I don't quite see it that way.
Programming is a symbolic framework for logic. Mathematics is a symbolic framework for logic. Programming is not necessarily mathematics. Mathematics is not necessarily programming.
In much the same way that English and Japanese are both symbolic frameworks for communication, and both English and Japanese can be said to be
communication, but neither is the other, so too are programming and mathematics both symbolic frameworks for logic, and both can be said to be
logic, while neither is the other.
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