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Usul comments on The Number Choosing Game: Against the existence of perfect theoretical rationality - Less Wrong Discussion

-1 Post author: casebash 29 January 2016 01:04AM

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Comment author: Silver_Swift 05 January 2016 04:42:28PM 2 points [-]

I see I made Bob unnecessarily complicated. Bob = 99.9 Repeating (sorry don't know how to get a vinculum over the .9) This is a number. It exists.

It is a number, it is also known as 100, which we are explicitly not allowed to pick (0.99 repeating = 1 so 99.99 repeating = 100).

In any case, I think casebash successfully specified a problem that doesn't have any optimal solutions (which is definitely interesting) but I don't think that is a problem for perfect rationality anymore than problems that have more than one optimal solution are a problem for perfect rationality.

Comment author: Usul 06 January 2016 03:01:58AM 1 point [-]

I was born a non-Archimedean and I'll die a non-Archimedean.

"0.99 repeating = 1" I only accept that kind of talk from people with the gumption to admit that the quotient of any number divided by zero is infinity. And I've got college calculus and 25 years of not doing much mathematical thinking since then to back me up.

I'll show myself out.

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