UNRAVELING THE DYNAMICS OF HYBRID ORDER DIMENSIONS

Abstract

Zeno's paradox, originating in antiquity, ignited the debate over whether time should be conceived as a discrete or a continuous entity. The notion of an instant devoid of duration represents a culmination of centuries of contemplation, spurred by Zeno's enigma. Time, conventionally, is understood as an entity isomorphic to real numbers, and in light of every experience possessing some duration, we tend to conceive of times as either devoid-of-duration instants or as assemblages of such instants. Consequently, the customary approach involves defining time intervals using instant time points and their relative precedence (sets of instant time points). A dissenting perspective was championed by Russell, who proposed an inverse formulation: temporal instants should be constructed from what he termed events. His aim was particularly focused on deducing an instant of time (or a point on a line) from a period of time (or from an interval on this line). Wiener, in his seminal work [28], introduces an axiomatic framework addressing Russell's conundrum, enabling the definition of instants. To achieve this, he establishes a precedence relation defined on a set of events, subject to a specific condition: