Date: Jul 9, 2013 9:35 AM
Subject: Re: Matheology § 300
On Tuesday, 9 July 2013 13:54:03 UTC+2, Julio Di Egidio wrote:
> I have posted about the Ross-Littlewood paradox and resolutions in the past: scattered in the noise, but I could try and dig out something if you or anybody is really interested.
Not necessary. Here is a solid piece:
Just in case... Some advice for a deal with the devil.
In the paper http://arxiv.org/PS_cache/math/pdf/0212/0212047v1.pdf J.D. Hamkins describes a deal with the devil after which you have lost all your money.
> Thus, on the first transaction he accepts from you bill number 1, and pays you with bills numbered 2 and 4. On the next transaction he buys from you bill number 2 (which he had just paid you) and gives you bills numbered 6 and 8. Next, he buys bill number 3 from you with bills 10 and 12, and so on. When all the exchanges are completed, what do you discover? You have no money left at all! The reason is that at the nth exchange, the Devil took from you bill number n, and never subsequently returned it to you.
I think I can contribute an idea that saves you at least one bill. For that sake simply require that you never hand a bill to the devil unless you are in possession of at least another bill. This condition, laid down by an additional clause in the contract, must never be violated and remains valid in eternity. Or put it the other way round: In case you would go bancrupt, simply refuse to hand him the last bill you have. (There is no last natural number, but before you are in possession of zero bills, you must have been in possession of one.) It prevents your total bancrupt, doesn't it?
The devil is very reliable in matters of contracts. Much more than matheologians.