Kalinowski conceives metaphysics as a set of propositions which can be axiomatized. This paper exposes the typical rules of an axiomatic system comparing them with the metaphysical system developed by Kalinowski. These rules are linguistic rules, but also admission-rules and transformation-rules. They always refer to the metaphysical propositions (wich are first or second propositions, as it is usual in logical systems). This paper tries to evaluate Kalinowski's attempt.