Paraconsistent First-Order Logic with restricted modus ponens rule and infinite hierarchy levels of contradiction $LP^\#_{\omega}$. Axiomatical system $HST^\#_{\omega}$, as paraconsistent generalization of Hrbacek set theory HST

Jaykov Foukzon

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arXiv · 0805.1481

Paraconsistent First-Order Logic with restricted modus ponens rule and infinite hierarchy levels of contradiction $LP^\#_{\omega}$. Axiomatical system $HST^\#_{\omega}$, as paraconsistent generalization of Hrbacek set theory HST

Jaykov Foukzon

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Abstract

In this paper paraconsistent first-order logic LP^{#}_{\omega} with restricted modus ponens rule and infinite hierarchy levels of contradiction is proposed. Corresponding paraconsistent set theory KSth^{#}_{\omega} is discussed.Axiomatical system HST^{#}_{\omega} as paraconsistent generalization of Hrbacek set theory HST is considered.

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Jaykov Foukzon. 2008-05-10. Paraconsistent First-Order Logic with restricted modus ponens rule and infinite hierarchy levels of contradiction $LP^\#_{\omega}$. Axiomatical system $HST^\#_{\omega}$, as paraconsistent generalization of Hrbacek set theory HST. https://arxiv.org/abs/0805.1481

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