The emergence of a fractal structure of formal logic via the spatiotemporal reflexive self-identification

Abstract

In this paper, we aim to analyze the structure of formal logic in relation to its emergence as a universal tool for understanding and description of reality. There are some extended variations of logic that treat time and/or space (e.g. temporal logic), however in general, formal logic is regarded as universal. This universality makes formal logic neither spatial nor temporal. Nevertheless, the emergence of formal logic takes place in time and space and its operation is characterized by the simultaneous temporal and spatial features. We realize these aspects of formal logic along the line of the previously developed model of the Double Homunculus (Sawa K., Igamberdiev A.U., 2016, BioSystems 144, 1–7) which can be seen as an emergence of logic. A diagrammatic representation of this concept reveals fractal structures. At the same time, we present actual logical connectives on these fractal figures with the transformations over time and space. This can provide the basis for understanding the relationships between time, space, and logic.