Past Longevity as Evidence for the Future.

Gott (1993) has used the 'Copernican principle' to derive a probability distribution for the total longevity of any phenomenon, based solely on the phenomenon's past longevity. Leslie (1996) and others have used an apparently similar probabilistic argument, the 'Doomsday Argument', to claim that con...

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Publicado en:Philosophy of Science Vol. 76; no. 1; pp. 73 - 101
Autor principal: Pisaturo, Ronald
Formato: Artículo
Publicado: Cambridge University Press Jan2009
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Acceso en línea:Ver este registro en EBSCOhost
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        atl: Past Longevity as Evidence for the Future.
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      su:
        Longevity
        Evidence
        Future (Logic)
        Logical prediction
        Bayesian analysis
      sug:
        subj:
          Longevity
          Evidence
          Future (Logic)
          Logical prediction
          Bayesian analysis
      ab: Gott (1993) has used the 'Copernican principle' to derive a probability distribution for the total longevity of any phenomenon, based solely on the phenomenon's past longevity. Leslie (1996) and others have used an apparently similar probabilistic argument, the 'Doomsday Argument', to claim that conventional predictions of longevity must be adjusted, based on Bayes's Theorem, in favor of shorter longevities. Here I show that Gott's arguments are flawed and contradictory, but that one of his conclusions is plausible and mathematically equivalent to Laplace's famous--and notorious--'rule of succession'. On the other hand, the Doomsday Argument, though it appears consistent with some common-sense grains of truth, is fallacious; the argument's key error is to conflate future longevity and total longevity. Applying the work of Hill (1968) and Coolen (1998, 2006) in the field of nonparametric predictive inference, I propose an alternative argument for quantifying how past longevity of a phenomenon does provide evidence for future longevity. In so doing, I identify an objective standard by which to choose among counting time intervals, counting population, or counting any other measure of past longevity in predicting future longevity.
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