His paradoxes and other subsequent problems, such as the results of the Michelson-Morely experiment, defy logic to this day, not because things move, but because we believe things move continuously. Their theory was never generally accepted because the duration of moment of existence had never been defined. Wilfrid Boisvert , in his discovery of the discontinuity of motion, identifies the duration of that moment and validates their claim that time is atomic. The following web pages will show you how motion is discontinuous and demonstrate that it is indeed discontinuity, and not continuity, that is by nature perceivable. Space, you will see, is not a thing but a distance between things, and only as distance can it be measured, and measured only in terms of shorter perceivable distances.
Space is then discontinuous.
Time is not a thing either, but a duration of immobility between motions, a duration that can only be measured in terms of perceivable durations. Time, therefore, is also discontinuous.