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Arithmetic: Gödel’s Incompleteness Theorems

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Philosophical and Mathematical Logic

Part of the book series: Springer Undergraduate Texts in Philosophy ((SUTP))

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Abstract

We formalize elementary number theory, i.e., we introduce a formal language L for expressing properties of addition and multiplication of natural numbers, and a set P of non-logical axioms (of Peano) in order to be able to formally deduce those properties fromP.

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de Swart, H.C.M.(. (2018). Arithmetic: Gödel’s Incompleteness Theorems. In: Philosophical and Mathematical Logic. Springer Undergraduate Texts in Philosophy. Springer, Cham. https://doi.org/10.1007/978-3-030-03255-5_5

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