Moore's problem with iterated belief

Philosophical Quarterly 50 (198):28-43 (2000)
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Abstract

Positive thinkers love Watty Piper's The little engine that could. The story features a train laden with toys for deserving children on the other side of the mountain. After the locomotive breaks down, a sequence of snooty locomotives come up the track. Each engine refuses to pull the train up the mountain. They are followed by a weary old locomotive that declines, saying "I cannot. I cannot. I cannot." But then a bright blue engine comes up the track. He manages to chug over the mountain by averring "I think I can. I think I can. I think can.".

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Roy Sorensen
University of Texas at Austin