In this paper the authors first analyse Aristotle's view of Heraclitus' philosophy, which is largely viewed through the prism of his quadruple causal scheme. The Stagirite, after studying the fragments of the philosopher of Ephesus, concluded that the fire (pyr) is a persistent substrate of everything and that it should be treated as arche and physis in the typical Ionian sense. Heraclitus, following Aristotle, determined a single principle, fire, which is 'of the nature of matter' and which, in his typology of causes, was categorized as a material cause. The authors then investigate the substance of justice in Heraclitus' teachings, starting the examination by referring to its correlation, i.e. to the uniqueness of opposing terms, justice ...