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On ordering and multiplication of natural numbers
Authors:Kamila Bendová
Affiliation:(1) Philosophical Faculty of the Charles University, Celetna 20, 11642 Praha 1, Czech Republic (e-mail: Kamila.Bendova@ff.cuni.cz) , CZ
Abstract:
Even if the ordering of all natural number is (known to be) not definable from multiplication of natural numbers and ordering of primes, there is a simple axiom system in the language such that the multiplicative structure of positive integers has a unique expansion by a linear order coinciding with the standard order for primes and satisfying the axioms – namely the standard one. Received: 3 December 1998
Keywords:
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