Today there is a rather impressive amount of attempts being made. Most of them are to be considered as highly speculative as they truly reflect the present state of affairs in full development. However there is a remaining set of approaches that slowly start to emerge and that seems to be viable candidates and of interest for a finitist view of geometry (in terms of spacetime). It should be noted that for the authors concerned their principal aim is not so much to formulate a discrete form of geometry but rather to establish whether this or that model will serve as a common foundation to quantum (field) theory and GRT, hence to the whole of physics, so to speak or, if one likes, the “Theory of Everything”. Our concern here is actually more modest: do these models tell us anything about how discrete geometries can be formulated such that they generate classical geometry? So, even if the physicists were to reject such a model on the basis of good solid physical reasons, it might still be of interest to the question of the possibility of discrete geometry.