Abstract

In this paper we study some results which we can obtain by appliing the informatic entropy to study the standard sentence logic . The most important of them is that any interpretation of the standard sentence logic is non-contradictory when only a finite non-null number of SSL formulas are interpreted as concrete propositions whith a well defined truth value, necessarily someones as true, someones as false. A consequence of this result is that all the mathematical propositions which contains numbers with an infinite number of digits are contradictory. This fact has relevant implications to clarify the relations between Matte Blanco's bi-logic and the ordinary numerical calcule