Continua are Impossible To Define Mathematically? If the Plank length has any length at all, it has a front and back. Divide further. The descent goes on forever in a finite space. Hence our contradiction.
"In reality, space is therefore amorphous, a flaccid form, without rigidity, which is adaptable to everything, it has NO properties of its own. To geometrize is to study the properties of our instruments, that is, of solid bodies." Poincare