The End is Near: Grim Reapers and Endless Futures

Mind (forthcoming)
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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 favor 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.

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Joseph Schmid
Princeton University

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Philosophical papers.David Kellogg Lewis - 1983 - New York: Oxford University Press.
Paradox without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251-252.
Philosophical Papers.Graeme Forbes & David Lewis - 1985 - Philosophical Review 94 (1):108.
Infinity, Causation, and Paradox.Alexander R. Pruss - 2018 - Oxford, England: Oxford University Press.

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