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In math everything is persistent/immutable anyway, so persistent data structures are a given when working with purely mathematical abstractions.

There is a memory issue because of this, but this problem isn't exclusive to FP languages. Many languages solve this with something called garbage collection.

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The very definition of pure FP (which is basically just programming founded on the principles of mathematics) rest foundationally on just a program that is immutable and has no side effects. Those are the only two requirements needed to do FP.

Immutability is therefore the axiomatic foundation of FP.

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