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COMMENTS ON DIVISION IN ARITHMETIC

✍ Scribed by L. Teland Locke

Book ID
114958939
Publisher
School Science and Mathematics Association
Year
1909
Tongue
English
Weight
96 KB
Volume
9
Category
Article
ISSN
0036-6803

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## Abstract We prove that the finite‐model version of arithmetic with the divisibility relation is undecidable (more precisely, it has Ξ ^0^~1~‐complete set of theorems). Additionally we prove FM‐representability theorem for this class of finite models. This means that a relation __R__ on natural nu