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Finite Arithmetic Axiomatization for the Basis of Hyperrational Non-Standard Analysis

The standard elementary number theory is not a finite axiomatic system due to the presence of the induction axiom scheme. Absence of a finite axiomatic system is not an obstacle for most tasks, but may be considered as imperfect since the induction is strongly associated with the presence of set the...

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Principais autores: Yuri N. Lovyagin, Nikita Yu. Lovyagin
Formato: Artigo
Idioma:Inglês
Publicado: MDPI AG 2021-10-01
Series:Axioms
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Acceso en liña:https://www.mdpi.com/2075-1680/10/4/263
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