Abstract
The legitimacy of Aristotelian logic was questioned in the twentieth century. As a result, the question of whether it should be replaced or restored remains unanswered. To resolve this dilemma there have been new findings that show that it is a theory with internal development, which is independent from the provisions of mathematical logic. In this article, I show how to restore its internal unity, development prospects and independence, through the use of three axioms or rules allowing to incorporate indefinite terms in classical categorical and hypothetical syllogistic, which gives it a capacity able to be compared to monadic first order logic.
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