Abstract
The first system of axioms for the arithmetic of natural numbers was proposed in 1889 by the Italian mathematician Giuseppe Peano. Later it has been modified and improved. Its today’s form is called Peano arithmetic. A main difference between Peano arithmetic and the original system of Peano is the fact that in the former no set-theoretical notions appear (such as the notion of a set and the predicate ∈ of being an element of a set).
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© 1999 Springer Science+Business Media Dordrecht
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Murawski, R. (1999). Gödel’s Incompleteness Theorems. In: Recursive Functions and Metamathematics. Synthese Library, vol 286. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2866-9_3
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DOI: https://doi.org/10.1007/978-94-017-2866-9_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5298-8
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