Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2015
Abstract
In this paper, we introduce for the first time the notions of Neutrosophic Axiom, Neutrosophic Axiomatic System, Neutrosophic Deducibility and Neutrosophic Inference, Neutrosophic Proof, Neutrosophic Tautologies, Neutrosophic Quantifiers, Neutrosophic Propositional Logic, Neutrosophic Axiomatic Space, Degree of Contradiction (Dissimilarity) of Two Neutrosophic Axioms, and Neutrosophic Model. A class of neutrosophic implications is also introduced. A comparison between these innovatory neutrosophic notions and their corresponding classical notions is made. Then, three concrete examples of neutrosophic axiomatic systems, describing the same neutrosophic geometrical model, are presented at the end of the paper.
Publisher
Creighton University
Publication Title
Critical Review
Volume
X
First Page
5
Last Page
28
Language (ISO)
English
Keywords
Neutrosophic logic, Neutrosophic Axiom, Neutrosophic Deducibility, Neutrosophic Inference, Neutrosophic Proof, Neutrosophic Tautologies, Neutrosophic Quantifiers, Neutrosophic Propositional Logic, Neutrosophic Axiomatic Space
Recommended Citation
Smarandache, Florentin.
"Neutrosophic Axiomatic System."
Critical Review
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Included in
Analysis Commons, Logic and Foundations Commons, Number Theory Commons, Other Mathematics Commons, Set Theory Commons
