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I briefly consider the Kuhnian notion of "paradigm shifts" applied to thehistory of mathematics and argue that the succession and intergenerationalcontinuity of mathematical thought was undeservedly neglected in the historicalstudies. To this end, I focus on the history of mathematical theory of time andperiodicity, from Ptolemy's epicycles to Schroedinger's quantum amplitudesinterference and contemporary cosmological models.

Time and periodicity from Ptolemy to Schroedinger: paradigm shifts vs continuity