# Bulletin of the American Physical Society

# 2013 Annual Fall Meeting of the APS Ohio-Region Section

## Volume 58, Number 9

## Friday–Saturday, October 4–5, 2013; Cincinnati, Ohio

### Session C1: Poster Session (4:30 - 6:45)

4:30 PM,
Friday, October 4, 2013

Room: TUC Atrium

Abstract ID: BAPS.2013.OSF.C1.1

### Abstract: C1.00001 : n-Valued Refined Neutrosophic Logic and Its Applications to Physics

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#### Author:

Florentin Smarandache

(University of New Mexico)

The Neutrosophic Logic value of a given proposition has the values $T =$\textit{ truth, I }$=$\textit{ Indeterminacy, and F }$=$\textit{ falsehood}. We have defined in 1995 two types of n-valued logic: symbolic and numerical: \begin{itemize} \item \textit{The n-Symbol-Valued Refined Neutrosophic Logic. } \end{itemize} In general: $T$ can be split into many types of truths: $T_{1}, T_{2}, ..., T_{p}$, and $I$ into many types of indeterminacies: $I_{1}, I_{2}, ..., I_{r}$, and $F$ into many types of falsities: $F_{1}, F_{2}, ..., F_{s}$,where all $p, r, s \ge $\textit{ 1} are integers, and $p + r + s = n$. All subcomponents $T_{j}, I_{k}, F_{l}$ are symbols for $j\in $\textit{\textbraceleft 1,2,\textellipsis ,p\textbraceright ,} $k\in $\textit{\textbraceleft 1,2,\textellipsis ,r\textbraceright ,} and $l\in $\textit{\textbraceleft 1,2,\textellipsis ,s\textbraceright .} \begin{itemize} \item \textit{The n-Numerical-Valued Refined Neutrosophic Logic. } \end{itemize} In the same way, but all subcomponents $T_{j}, I_{k}, F_{l}$ are not symbols, but subsets of \textit{[0,1],} for all $j \in $ \textit{\textbraceleft 1,2,\textellipsis ,p\textbraceright ,} all $k \in $ \textit{\textbraceleft 1,2,\textellipsis ,r\textbraceright ,} and all $l \quad \in $ \textit{\textbraceleft 1,2,\textellipsis ,s\textbraceright .} \begin{itemize} \item Remarks: A) Similar generalizations can be done for \textit{n-Valued Refined Neutrosophic Set}, and respectively \textit{n-Valued Refined Neutrosopjhic Probability. B) }n-Valued Refined Neutrosophic Logic is applied in physics in cases where two or three of \textless A\textgreater , \textless antiA\textgreater , and \textless neutA\textgreater simultaneously coexist, where \textless A\textgreater may be a physical item (object, idea, theorem, law, theory). \end{itemize}

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2013.OSF.C1.1

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