The need to reconcile Aristotle's theory of elementary spheres with the evidence of earth above sea level - the so-called terra firma' - induced an important conceptual shift. As a consequence anti-Aristotelian arguments were brought to the fore in order to be incorporated into the very same Aristotelian tradition. The German Jesuit Christophorus Clavius played a momentous role in this process. He introduced the idea of the terraqueous globe into the Scholastic cosmology, modifying the logical frame of Aristotelian physics. The present work analyses Clavius' theory as well as the procedures he considers to reach his purpose. He used a combinatorial approach to study the relations occurring between the four elements - earth, water, air and fire - and analysed their relations from a physical perspective, proposing a possible structure of the sublunary world.