Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic Diagram and Classes of Neutrosophic Paradoxes or to the Outer-Limits of Science

Florentin Smarandache, University of New Mexico

Abstract

These paradoxes are called “neutrosophic” since they are based on indeterminacy (or neutrality, i.e. neither true nor false), which is the third component in neutrosophic logic. We generalize the Venn diagram to a Neutrosophic Diagram, which deals with vague, inexact, ambiguous, illdefined ideas, statements, notions, entities with unclear borders. We define the neutrosophic truth table and introduce two neutrosophic operators (neuterization and antonymization operators) give many classes of neutrosophic paradoxes.