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A fortiori arguments intend to draw conclusions from propositions deemed stronger. There are two types of a fortiori arguments, usually named as a maiore ad minus and a minore ad maius. The aim of this paper is the following. Firstly, following Luís Duarte d’Almeida and Alchourrón, to present the a fortiori arguments’ features and structure. Secondly, to demonstrate that a fortiori is not an interpretation method but rather a systematization and ordering method. Thus, it occurs after interpreting legal provisions. Thirdly, to claim that a fortiori is a logically invalid inference, following what has also been claimed by several authors. [ABSTRACT FROM AUTHOR]