The problem occurs when affirming such a smooth transition that undermines the discreteness of the phenomenal moment. For the discreteness, and hence identity, of the moment that makes up time, the smooth transition of moments would have to be sacrificed. Transitional smoothness, an axiom of temporal phenomena, would be forfeited. Likewise, affirming the axiom of smooth transitions between the moments denies the discreteness of the phenomenal moment. The discrete moment, the building block of time, would be forfeited. In both Hume and Husserl’s analysis of time, we get the same problem. Time contradicts itself when one side is affirmed. Time is both the discrete identity of its constituent moments, and the smooth transition between a multiplicity of them. To solve the problem would mean to satisfy both sides, without self-contradiction.
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