Does anyone know if there is there a name for the idea that new concepts (such as negative numbers, complex numbers or type constructors in a type system) are only ever introduced into a preexisting "system" so that they can be eliminated later, after helping make some progress?
No, elimination is the correct word. It's like eliminating terms in an expression, that is, removing completely.
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your statement is "complex numbers were only ever introduced into a preexisting 'system'* so that they can be eliminated later" * presumably the reals?
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I dont think this is true
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