Starting from the exposition of the fundamental guiding principles of Peirce's philosophy, mainly, its three categories viewed under his Phenomenology and its correlated Ontology, I conjecture about three possible dimensions of Time, considering the function of predicting the future course of events with varying degrees of certainty as the main role of our human rationality. In these three dimensions, the affection of the first of the three Peircean categories occurs with differentiated intensity, this first category precisely the one that includes (...) the way of being of the incidence of Chance, either in the course of a natural Chronos, or in the course of a temporality produced by human actions, or also equally having incidence in the spontaneity of a subjective time, assumed here as Kairós. Inspired by the recent experience of the pandemic that devastated all corners of the planet, this conjecture suggests dimensions of a temporality frayed ontologically in different degrees, leading to a corresponding fraying of our predictive rationality, imposing upon us the condition of being characters who are left to bet on the course of future factuality to the detriment of choices that would be feasible if a history circumscribed by an intense incidence of Chance had not occurred. Keywords: Peirce, Pragmatism, Semiotics, Chance, Time. (shrink)