# Peano Arithmetic requires Axiom Schema

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## Theorem

A system of arithmetic based on Peano's axioms requires an **axiom schema**.

## Proof

This theorem requires a proof.You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.To discuss this page in more detail, feel free to use the talk page.When this work has been completed, you may remove this instance of `{{ProofWanted}}` from the code.If you would welcome a second opinion as to whether your work is correct, add a call to `{{Proofread}}` the page. |

## Historical Note

It was proved by Richard Merett Montague in $1957$ that Peano's axioms require an **axiom schema**.