Rumer's transformation, in biology, as the negation, in classical logic

摘要

in this article, we make a connection between the Rumer transformation, used in the study of the genetic code-doublets, and the negation of classic logic. A unified classification is given, relying on two Klein's 4-groups describing the symmetries of the 16 doublets of nitrogenous bases and those of the 16 binary connectives of classic logic, both groups being subgroups of a larger noncommutative group with eight elements we identify as the dihedral group D-4. Also, some connections with other works are briefly considered. (C) 2003 Wiley Periodicals, Inc. [References: 21]