<p>According to a prominent philosophical argument for the beginning of time – the Grim Reaper Argument (GRA) – had it been possible for the past to be infinite, then a provably impossible scenario could have been constructed. Such a scenario is not possible, so, the GRA concludes, the past cannot be infinite. Here, we show that the GRA includes one premise acceptable only for Humeans and another premise acceptable only for anti-Humeans. Since, plausibly, everyone is either a Humean or an anti-Humean, the GRA is an argument for no one. Additionally, we argue that there may not be a way to successfully reformulate the GRA with premises acceptable to either Humeans or anti-Humeans.</p>

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The Grim Reaper Argument is an argument for no one

  • Daniel Linford,
  • Alex Malpass

摘要

According to a prominent philosophical argument for the beginning of time – the Grim Reaper Argument (GRA) – had it been possible for the past to be infinite, then a provably impossible scenario could have been constructed. Such a scenario is not possible, so, the GRA concludes, the past cannot be infinite. Here, we show that the GRA includes one premise acceptable only for Humeans and another premise acceptable only for anti-Humeans. Since, plausibly, everyone is either a Humean or an anti-Humean, the GRA is an argument for no one. Additionally, we argue that there may not be a way to successfully reformulate the GRA with premises acceptable to either Humeans or anti-Humeans.