Benacerraf's identification problem shows that multiple incompatible set-theoretic reductions equally satisfy Peano's axioms, undermining any claim that one derivation is canonical.

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Benacerraf(in philosophy of mathematics and ethics): Paul Benacerraf, a philosopher who argued that if abstract objects (like numbers or moral facts) don't exist in the physical world, we have a serious problem explaining how we could ever know anything about them.
Peano's axioms(foundational mathematics): A set of basic rules that define what natural numbers (0, 1, 2, 3...) are and how they work, created by mathematician Giuseppe Peano.
canonical(as describing the earliest Buddhist texts): Official or authoritative—referring to texts that are considered the most original and authentic sources of a religious or philosophical tradition.
identification problem(as the core argument being discussed): A philosophical puzzle showing that the same mathematical object (like the number 2) can be described in multiple completely different ways, making it impossible to say which description is the 'real' one.

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