When in discoursing about an object in its singular way, we resort to the math of whole numbers..which doesn't have the measurement of breadth or width but relies on identity of the object. Topological analysis digresses in the single thing being analysed and as such it run upon limits in terms of its ability to demonstrate a rhizome or a plurity of essence. Irrational numbers prove to the undefinate nature of the physical world. It cannot in terms of pure calculation reach an finality. But as Ockam's razor might explain, the digression into irrational numbers resolves roughly the exact quotient where the most basic microcosm of space undergoes a fluctuation.. and hence through this the dice are being rolled and things as such suffer entropy. Irrational Numbers (By Seung Kim)