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DanielLC comments on Approaching Infinity - Less Wrong Discussion

-1 Post author: Psychohistorian 01 February 2011 08:11AM

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Comment author: DanielLC 01 February 2011 07:21:33PM 1 point [-]

I don't see what you're trying to say. Finite numbers are different than infinite ones. What do you mean by a second point representing infinity? Is it supposed to be the number of points between it and the period? In that case, ((2)) isn't even on there, or any other finite number besides zero. The paradoxes of infinity aren't because it's big. They're because it doesn't behave the same as finite numbers.

Comment author: Vladimir_Nesov 01 February 2011 09:09:02PM *  0 points [-]

Finite numbers are different than infinite ones.

What's "infinite number" you refer to, for finite numbers to be different from it? (There're infinite cardinals, of course, but that's set theory, a step bigger than flipping the "finite" modifier.)

Comment author: DanielLC 01 February 2011 09:57:23PM 0 points [-]

All of them. Different ones behave in different ways, but none of them behave like finite numbers.

... but that's set theory, a step bigger than flipping the "finite" modifier.

What if I started with finite cardinals?

I think what we'd use for utility is like cardinal numbers, although that's not precisely what it is. There isn't a set of different QALYs. The finite values are more like real numbers. You still talk about how many QALYs, though.