Random close pack crystal lattices have maximum densities equal to this upper limit. Random close packing does not have a precise geometric definition. It is defined statistically, and results are empirical. A container is randomly filled with objects, and then the container is shaken or tapped until the objects do not compact any further, at this point the packing state is RCP. The definition of packing fraction can be given as: "the volume taken by number of particles in a given space of volume". In other words, packing fraction defines the packing density. It has been shown that the filling fraction increases with
A priori and a posteriori negation is not self-contradictory (thus, it is said that it is "not" true in every possible world). As Jason Baehr states, it seems plausible that all necessary propositions are known "a priori", because "[s]ense experience can tell us only about the actual world and hence about what is the case; it can say nothing about what must or must not be the case." Following Kant, some philosophers have considered the relationship between aprioricity, analyticity, and necessity to be extremely close. According to Jerry Fodor, "Positivism, in particular, took it for granted that "a priori" truths must be necessary..." However, since