José Benardete developed a famous paradox involving a beginningless set of items each member of which satisfies some predicate just in case no earlier member satisfies it. The Grim Reaper version of this paradox has recently been employed in favour of various finitist metaphysical theses, ranging from temporal finitism to causal finitism to the discrete nature of time. Here, I examine a new challenge to these finitist arguments—namely, the challenge of implying that the future cannot be endless. In particular, I develop future-oriented Benardete paradoxes and examine their epistemic symmetry with past-oriented paradoxes.

中文翻译：

---

末日临近：死神和无尽的未来

何塞·贝纳德特（José Benardete）提出了一个著名的悖论，涉及一组无始的项目，其中每个成员都满足某些谓词，以防万一没有更早的成员满足它。这个悖论的死神版本最近被用来支持各种有限主义形而上学命题，从时间有限论到因果有限论再到时间的离散本质。在这里，我研究了对这些有限论论证的新挑战，即暗示未来不可能是无限的挑战。特别是，我开发了面向未来的贝纳德特悖论，并用面向过去的悖论检验了它们的认知对称性。