Self-referencing doomsday argument rebuttals attempt to refute the Doomsday argument (that there is a credible link between the brevity of the human race's existence and its expected extinction) by applying the same reasoning to the lifetime of the Doomsday argument (DA) itself.
The first researchers to write about this were P. T. Landsberg and J. N. Dewynne in 1997; they applied belief in the DA to itself, and claimed that a paradox results.
Read more about Self-referencing Doomsday Argument Rebuttal: The Paradox, Extensions, Critique of The Self-referencing Doomsday Argument Rebuttal
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