Defending transitivity against zeno’s paradox

Philosophy and Public Affairs 31 (3):272–279 (2003)
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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.

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reprint Voorhoeve, Alex; Binmore, Ken (2005) "Defending transitivity against Zeno's paradox". In Rønnow-Rasmussen, Toni, Zimmerman, Michael J., Recent work on intrinsic value, pp. 265-272: Springer (2005)

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Alex Voorhoeve
London School of Economics

References found in this work

A Continuum Argument for Intransitivity.Larry S. Temkin - 1996 - Philosophy and Public Affairs 25 (3):175-210.
Counterexamples to the transitivity of better than.Stuart Rachels - 1998 - Australasian Journal of Philosophy 76 (1):71 – 83.
Internal consistency of choice.Amartya Sen - 1993 - Econometrica 61:495–521.
Counterexamples to the Transitivity of Better Than.Stuart Rachels - 2005 - In Toni Rønnow-Rasmussen & Michael J. Zimmerman (eds.), Recent work on intrinsic value. Dordrecht: Springer. pp. 249--263.

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