Neutrosophic Degree of Paradoxicity of a Scientific Statement

Let $<$S$>$ be a scientific statement (in physics, mathematics, etc.). Let's also consider the implication $(C_{1})$ ``If $<$S$>$ is true it may result that $<$S$>$ is false'', and the reciprocal implication $(C_{2}) $``If $<$S$>$ is false it may result that $<$S$>$ is true''. Both implications (conditionals) depend on other factors in order to occur or not, or they are partially true (T), partially indeterminate (I), and partially false (F) [as in neutrosophic logic]. If the implication $(C_{1})$ has the neutrosopihc truth value $(T_{1}, I_{1}, F_{1}), $and the reciprocal implication $(C_{2}) $has the neutrosophic truth value $(T_{2}, I_{2}, F_{2})$, then the \textbf{neutrosophic degree of paradoxicity }of the statement $<$S$>$ is the average of the component triplets: $((T_{1}+T_{2})/2, (I_{1}+I_{2})/2, (F_{1}+F_{2})/2),$ where the addition of two sets A and B (in the case when T, I, or F are sets) is simply defined as: A + B = {\{}x $\vert $ x = a + b, with a$\in $A and b$\in $B{\}}.