English

The Formalization of The Arithmetic System on The Ground of The Atomic Logic

Logic 2016-04-01 v1

Abstract

This paper is a continuation of the paper [16]. Namely, in [16] we have introduced, among others, the definition of the atomic entailment and we have constructed the system S\overset\sqcap S, which is based on the atomic entailment. In this paper we show that the classical Arithmetic can be based on the Atomic Logic (see [17]).

Keywords

Cite

@article{arxiv.1603.09334,
  title  = {The Formalization of The Arithmetic System on The Ground of The Atomic Logic},
  author = {T. J. Stepien and L. T. Stepien},
  journal= {arXiv preprint arXiv:1603.09334},
  year   = {2016}
}

Comments

The paper: T.J. Stepien, L.T. Stepien, "Atomic Entailment and Atomic Inconsistency and Classical Entailment", cited in this paper, as [16], was also published in arXiv, as arXiv:1603.06621