Defending transitivity against zeno’s paradox

Philosophy and Public Affairs 31 (3):272–279 (2003)
Abstract This article criticises one of Stuart Rachels' and Larry Temkin's arguments against the transitivity of 'better than'. This argument invokes our intuitions about our preferences of different bundles of pleasurable or painful experiences of varying intensity and duration, which, it is argued, will typically be intransitive. This article defends the transitivity of 'better than' by showing that Rachels and Temkin are mistaken to suppose that preferences satisfying their assumptions must be intransitive. It makes cler where the argument goes wrong by showing that it is a version of Zeno's paradox of Achilles and the Tortoise.
Keywords Transitivity  Decision Theory  Zeno's Paradox
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