On Tue, Oct 26, 2010 at 11:34 AM, Don Dailey <dailey....@gmail.com> wrote:
>
> On Tue, Oct 26, 2010 at 11:07 AM, Álvaro Begué <alvaro.be...@gmail.com>
> wrote:
>>
>> A few years ago I had a conversation with John Tromp about this
>> measure of depth, and he pointed out that "who has bigger feet" has as
>> many levels as there are players, but doesn't make for a very
>> interesting game.
>
> That's not as logical as it sounds.   If you could measure ELO ratings with
> infinite precision,  you would have as many ratings as people too.    We are
> not interested in how many different foot sizes,  but the range of possible
> values in some context that has real meaning.      With ELO we don't care
> about how many different ELO ratings there are,  we care about the range of
> values and the context is how much 1 ELO point is worth in terms of winning
> probability.

No, the point is that a player with slightly larger feet than another
player will win with unbelievable consistency, while this is not true
of small ELO differences.

> Even with foot size,  if you measure the day to day variation,  you could
> probably classify them into just a few types.    For example there are
> finite number of shoe sizes and only 6 or 7 different shoe sizes fit 95% of
> the population (assuming adults only.)

OK, let's play "who has a higher Social Security Number", then.
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