The bottle imp paradox can be sidestepped if your currency is infinitely divisible (or if the imp can be persuaded to take account of inflation).
Alas, RLS spotted the first loophole and does specify "Only remember it must be coined money that you sell it for." But this is what relates it (as I see it) to the unexpected hanging, which is similarly sidestepped if the prisoner is to be executed at any moment between Monday and Friday, since there is no "next-to-last" moment for the induction to get its teeth into.
Inflation, on the other hand, I agree does do what we need.
Thanks for the link to the Wayback Machine. We'll have to see whether the Mathematical Institute's archives stretch back that far...
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Date: 2004-03-24 04:15 pm (UTC)Alas, RLS spotted the first loophole and does specify "Only remember it must be coined money that you sell it for." But this is what relates it (as I see it) to the unexpected hanging, which is similarly sidestepped if the prisoner is to be executed at any moment between Monday and Friday, since there is no "next-to-last" moment for the induction to get its teeth into.
Inflation, on the other hand, I agree does do what we need.
Thanks for the link to the Wayback Machine. We'll have to see whether the Mathematical Institute's archives stretch back that far...