:PROPERTIES: :ID: b005fb71-2a16-40f9-9bb6-29138f4719a2 :END: #+title: emergence #+author: Preston Pan #+html_head: * Emergence systems are… Existent in many forms and at many levels. They are the fundamental building block of everything that exists, I argue, and nothing in this theory of everything will contradict this statement! ** What is Emergence? Emergence can be broadly defined as a system whose components organize themselves into a larger structure via simpler rules that each component follows. Entire systems such as [[id:a6bc601a-7910-44bb-afd5-dffa5bc869b1][mathematics]] can be explained in terms of a couple axioms, where all the theorems arising from those axioms are emergent from those axioms. At least, that is a relatively simple explanation, and does not capture the full beauty of emergent systems. Therefore, I call apoun an example from daily life: *** Societies At every scale, societies exhibit properties of emergence. For example, families and small communities comprise small areas of town, which comprise cities, which then make up provinces, and finally countries. In this particular example, we self organize into self-similar [[id:8f265f93-e5fd-4150-a845-a60ab7063164][recursive]] hierarchies. This is for a good reason; in order for societies to scale, there need to be abstractions. Each level in the hierarchy conveys more but less exact information, until we get to the national level which deals the most with aggregates. *** Markets Emergent To use a particular hierarchy example, markets are emergent from barter in goods.