Might one explore a neighborhood about an abstract mathematical object, representing an element of a set of integers; likewise for all elements? Would such exploration in neighborhood involve inbetweeness (i.e. continuity) and smoothness concepts for such 1-manifold? Would it be sufficient to map integers to a set of positive definite moments (always exponentially changing, and thus essentially analytical-like), describing so-called common cosmic time as an analytic engine? Hence then can the integers be described as analytical? Is thus the flow of cosmic time not only always exponentially changing, but also very smooth, and analytical?
see https://sites.Google.com/site/zankaon SRM page. Also see philosophy of time blog.
Could one then have two concomitant renditions of an overall common cosmic
time; the Hubble Expansion, intrinsic to changing 3-volume, and MGS Modified Global Simultaneity, intrinsic to an evolving dynamic System, described as an analytical engine, consisting of an entangled array of manifolds, endlessly evolving? apeiron