HTS Teologiese Studies/Theological Studies ISSN: (Online) 2072-8050, (Print) 0259-9422 Page 1 of 8 Original Research Metaphysics and mathematics: Perspectives on reality Author: The essence of number was regarded by the ancient Greeks as the root cause of the existence 1 Gideon J. Kühn of the universe, but it was only towards the end of the 19th century that mathematicians Affiliation: initiated an in-depth study of the nature of numbers. The resulting unavoidable actuality of 1Department of Electrical infinities in the number system led mathematicians to rigorously investigate the foundations and Electronic Engineering, of mathematics. The formalist approach to establish mathematical proof was found to be University of Pretoria, inconclusive: Gödel showed that there existed true propositions that could not be proved to be South Africa true within the natural number universe. This result weighed heavily on proposals in the mid- Corresponding author: 20th century for digital models of the universe, inspired by the emergence of the programmable Gideon Kühn, digital computer, giving rise to the branch of philosophy recognised as digital philosophy. In
[email protected] this article, the models of the universe presented by physicists, mathematicians and theoretical Dates: computer scientists are reviewed and their relation to the natural numbers is investigated. A Received: 17 May 2017 quantum theory view that at the deepest level time and space may be discrete suggests a Accepted: 15 July 2017 profound relation between natural numbers and reality of the cosmos. The conclusion is that Published: 16 Aug. 2017 our perception of reality may ultimately be traced to the ontology and epistemology of the How to cite this article: natural numbers.