Skolem arithmetic is a branch of mathematical logic that deals with the arithmetic of the natural numbers and is based on the systems introduced by the Norwegian mathematician Thoralf Skolem. It is particularly focused on the study of sequences, functions, and relations that can be defined using certain logical frameworks, including the use of quantifiers. In more formal terms, Skolem arithmetic can be seen as an extension of first-order arithmetic where the focus is on the properties of functions and relations defined on the natural numbers.
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