Publication Date
3-2017
Abstract
Some religious scholars claim that while the corresponding holy texts may be contradictory, they lead to a consistent set of ethical and behavioral recommendations. Is this logically possible? In this paper, somewhat surprisingly, we kind of show that this is indeed possible: namely, we show that if we add, to statements about objects from a certain class, consequences of both contradictory abstract statements, we still retain a consistent theory. A more mundane example of the same phenomenon comes from mathematics: if we have a set-theoretical statement S which is independent from ZF and which is not equivalent to any arithmetic statement, then we can add both arithmetic statements derived from S and arithmetic statements derived from "not S" and still keep the resulting class of arithmetic statements consistent.
Comments
Technical Report: UTEP-CS-17-27
Published in Journal of Innovative Technology and Education, 2017, Vol. 4, No. 1, pp. 59-64.