On ordering and multiplication of natural numbers |
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Authors: | Kamila Bendová |
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Affiliation: | (1) Philosophical Faculty of the Charles University, Celetna 20, 11642 Praha 1, Czech Republic (e-mail: Kamila.Bendova@ff.cuni.cz) , CZ |
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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 |
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