(urth) Sigh
Adam Thornton (IO)
adam at io.com
Wed Jan 12 10:42:19 PST 2011
On Wed, 12 Jan 2011 09:46:10 -0600, Jeff Wilson <jwilson at io.com> wrote:
> On 1/12/2011 12:09 AM, Adam Thornton wrote:
>> But of course that, in turn, assumes that all the copies of the library
>> are complete. If we then postulate that any iteration of the library
may
>> or may not have a copy of a particular book then the number of
(complete
>> and partial) libraries our immortal traveler must traipse through
before
>> encountering repetition becomes the power set of the number of complete
>> libraries, or 2 ^ ( 10 ^ ( 2.4548624015714 x 10 ^ 1834215 ) ) . This,
>> rightly, seems like a big number.
>>
>> But, in fact, to an arbitrarily good approximation, *all* integers are
>> bigger than that.
>
> Really? I would've said a bit less than half.
I'm positive.
Or rather, I should have specified positive integers.
Adam
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