Spurious, Emergent Laws in Number Worlds

Abstract

We study some aspects of the emergence of lógos from xáos on a basal model of the universe using methods and techniques from algorithmic information and Ramsey theories. Thereby an intrinsic and unusual mixture of meaningful and spurious, emerging laws surfaces. The spurious, emergent laws abound, they can be found almost everywhere. In accord with the ancient Greek theogony one could say that lógos, the Gods and the laws of the universe, originate from “the void,” or from xáos, a picture which supports the unresolvable/irreducible lawless hypothesis. The analysis presented in this paper suggests that the “laws” discovered in science correspond merely to syntactical correlations, are local and not universal.