• schuelermine@leminal.space
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    13 days ago

    Isn’t this Peano numerals? Church numerals would be if a baker’s four doubled two was sixty-four.

    (That being (λf. λx. f (f (f (f (f x))))) (λn. λf. λx. n f (n f x)) (λf. λx. f (f x)))

    • Warl0k3@lemmy.world
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      13 days ago

      Would they not be equivalent systems for this purpose? Both use the successor function as a unary representation of the natural numbers.

      • schuelermine@leminal.space
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        12 days ago

        Yes, Church numerals are something more specific. Church numerals are a model of Peano arithmetic, I think. So basically all Chuch is Peano but not all Peano is Church.