We extend Knuth's 16 Boolean binary logic operators to fuzzy logic and neutrosophic logic binary operators. Then we generalize them to n-ary fuzzy logic and neutrosophic logic operators using the smarandache codification of the Venn diagram and a defined vector neutrosophic law. In such way, new operators in neutrosophic logic/set/probability are built. Introduction. For the beginning let’s con...

As of 1 January 1998, the celestial reference system adopted by the IAU will be based on a set of extragalactic directions, replacing the Fundamental Katalog No 5 (FK5) that gave star coordinates in a reference system (referred to as equator and equinox J2000) based primarily on the dynamics of the solar system. This change is deeper than a mere replacement of a reference system by a better one...

Abstract According to the safety account of knowledge, one knows that p only if one’s belief could not easily have been false. An important issue for is whether we should examine target when evaluating a safe or not. In this paper, it argued that, belief, then fails ignorance necessary truths. But, also beliefs in other relevant propositions, knowledge from falsehood. Therefore, undermined by f...

Despite the long debate over whether it was composed in third or fourth century c.e., Heliodorus's Aithiopika has usually been understood through imperial literary contexts which characterize earlier novels. This article inverts this perspective to explore instead how novel fits into contemporary late antique considerations about fiction. By reading against late-fourth and early-fifth discussio...

The Erd\H{o}s primitive set conjecture states that the sum $f(A) = \sum_{a\in A}\frac{1}{a\log a}$, ranging over any $A$ of positive integers, is maximized by prime numbers. Recently Laib, Derbal, and Mechik proved translated for $f(A,h) A}\frac{1}{a(\log a+h)}$ false starting at $h=81$, comparison with semiprimes. In this note we prove such falsehood occurs already $h= 1.04\cdots$, show transl...