The utterly fantastic success of Mathematical Analysis (the mathematics of continuous functions of continuous variable) as applied to physics and engineering, tends to blind us to the possibility that the ultimate nature of space and time might be discrete. It is enlightening to recall the resistance of prominent physicists, such as Mach, to the atomic theory. But there is a simple reason why a discrete system can be well modeled by Mathematical Analysis. Completely discrete space-time-state physics, where quantities such as momentum, angular momentum and energy are also discrete, and where those same quantities are conserved (perhaps exactly, as is obviously true of electric charge) will exhibit symmetries, asymptotic to continuous. (A consequence of Noether’s Theorem). As a result, the gross behavior of such microscopically discrete space-time-state systems will be asymptotically well modeled by mathematical analysis. Today, we know that electric charge, angular momentum, matter, photons etc. are discrete, but it’s hard for almost everyone to imagine that space and time could be also be discrete. The major stumbling block is the mathematical beauty and simplicity of the assumption of translation symmetry… along with the absence of any experimental evidence to the contrary. However, I am certain that translation symmetry is an informational impossibility!