Clock-Dedekind cuts-Time
Clock-Dedekind cuts-Time

Summary/Abstract: This article approaches its subject in a philosophical manner. It has as objective to formulate a problem. The formulation of the problem is based on the Dedekind cuts and on a continuous function nowhere differentiable (it has no tangent line to the points of its graph): the Takagi-Knopp function. The study mainly approaches two contents: one from the algebra and one from the mathematical analysis. The interpretation of the formulation requires an epistemological frame. This study is only a first step. The next part of the study is the construction of another continuous function nowhere differentiable, for time. The main intention is to construct time only from “moments” understanding them as points of the graph in which the function is not differentiable

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