Problems With The SIA
The SIA is not an assumption or axiom of Dieks' system. In fact, as stated, the negation of the SIA is a theorem of Dieks' system. A proposition similar to the SIA can be derived from Dieks' system, but it is necessary to revise the SIA to limit it to situations where you don't know the date or your birth order number. Even this related proposition is not an axiom of Dieks. It is a theorem, derived from other fundamental assumptions. In Dieks, you may never have been born and the end of the human race is independent of your birth order number. A proposition related to the SIA, but not the SIA itself, can be derived from these assumptions. Hence, no one assumes the SIA. It should be called the Self-Indication Corollary, perhaps.
Read more about this topic: Self-Indication Assumption Doomsday Argument Rebuttal
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