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This seems like an ultimately doomed attempt to redefine the suitcase term "abstraction" to be something more mathematical. But you aren't going to change how people use the word "abstraction" by telling them they're using it wrong. If you need a more precise terminology, it would be better to come up with some different words or phrases and popularize them.



> something more mathematical

It has been done. Category Theory (a.k.a. "abstract nonsense") has been pretty successful describing abstraction using the language of functors.




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