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Infinity, Causation, and Paradox | Oxford Scholarship Online
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Infinity, Causation, and Paradox

Alexander R. Pruss

Abstract

Infinity is paradoxical in many ways. A particular large family of paradoxes is examined that on its face iswidely varied. Some involve deterministic supertasks, such as Thomson’s Lamp where a switch is toggled an infinite number of times over a finite period of time, or the Grim Reaper, where it seems that infinitely many reapers can produce a result without doing anything. Others involve infinite lotteries. Yet others involve paradoxical results in decision theory, such as the surprising observation that if you perform a sequence of fair coin-flips that goes infinitely far back into the past ... More

Keywords: infinity, causation, cosmological argument, Kalām, space, time, paradox, mathematics, God

Bibliographic Information

Print publication date: 2018 Print ISBN-13: 9780198810339
Published to Oxford Scholarship Online: September 2018 DOI:10.1093/oso/9780198810339.001.0001

Authors

Affiliations are at time of print publication.

Alexander R. Pruss, author
Professor of Philosophy, Baylor University