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.

Contemporary Natural Philosophy and Philosophies—Part 2

“…The traditional approach making the sharp distinction between the physical (expressed as formal) and abstract (expressed as representational) aspects of reality presented in Krzanowski's paper is in strong contrast to the following three papers. The strongest contrast is with the position presented in the paper Spurious, Emergent Laws in Number Worlds by Cristian S. Calude and Karl Svozil, which is an excellent example of the innovative methodology fitting the needs of Contemporary Natural Philosophy [11]. Calude and Svozil refer to Heidegger's Fundamental Question of Metaphysics "Why is there anything at all, rather than nothing?"…”

Quantum Randomness is Chimeric

“…Even in totally “random” datasets, some sort of structure must necessarily emerge by the law of large numbers: for instance, if two dice are thrown sufficiently often, the number seven appears to be the most likely sum of their two faces. Modern arguments for the emergence of laws from chaos employ, among other methods [ 194 , 195 , 196 , 197 , 198 , 199 , 200 , 201 ], Ramsey theory, for structure formation and structural continuity through spurious correlations [ 202 ]. It is irrelevant whether these events occur “absolutely randomly”—indeed, as has been pointed out earlier, on an individual level and with finitistic means, “absolute randomness” appears to be a vacuous concept.…”

Vector computation

“…6 Yet, unlike Wigner, I believe that there may be at least two handy but mutually contradicting reasons for the effectiveness of mathematics in the natural sciences: one postulates that laws "emerge" from disorder. [7][8][9] Another, apparently converse, reason for lawfulness is that we are inhabiting a virtual reality simulated by a computational process. [10][11][12][13][14] In this hypothesis whatever "laws of nature" science might discover should be perceived as epistemic, intrinsic reflections of, or correspondences to, this ontological, extrinsic (to us) computation.…”