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arXiv · 1603.06621

Atomic Entailment and Atomic Inconsistency and Classical Entailment

T. J. Stepien·L. T. Stepien
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Abstract

In this paper we put forward a new solution of the well-known problem of relevant logics, i.e. we construct an atomic entailment. Hence, we construct a system of predicate calculus based on the atomic entailment. Next, we establish the definition of atomic inconsistency. The atomic inconsistency establishes an infinite class of inconsistent, but non-trivial systems. In this paper we construct the new definition of the classical entailment, into the bargain.

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T. J. Stepien, L. T. Stepien. 2016-03-21. Atomic Entailment and Atomic Inconsistency and Classical Entailment. https://doi.org/10.17265/2159-5291%2F2015.02.002

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