Abstract
The fundamental notions of natural number, zero and successor are sufficiently clear to us. Addition and multiplication are then defined inductively, using zero and successor together with the equality predicate =, as is done on the next page of this course. More complicated arithmetic relations and operations such as x ≤ y, “x divides y”, “x is the minimum of y and z”, “x is a prime number”, are definable using these fundamental notions.
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© 2012 Springer-Verlag Italia
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Mundici, D. (2012). The Quantifiers “There Exists” and “For All”. In: Logic: A Brief Course. UNITEXT(). Springer, Milano. https://doi.org/10.1007/978-88-470-2361-1_11
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DOI: https://doi.org/10.1007/978-88-470-2361-1_11
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-2360-4
Online ISBN: 978-88-470-2361-1
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