[Alamo-Girl]

It occurs to me I ought to make this additional observation so my Platonist position is clear to Lurkers.

You can take the entire Shakespeare manuscript, digitized on a computer (typed in on your computer) and then read it as a single number. In base two, it is simply the bit string of the manuscript. But you can likewise convert the base two to decimal (base ten) so it is more digestible. Of course, the number will be huge, but unique.

To a Platonist, the number itself is part of "reality."

BTW, it is much easier to do this than to start a counter at one and roll it up to the number which is the Shakespearean manuscript (Champernowne.)

[Doctor Stochastic]

But you are missing the point. One can also start with the primes and concatenate them (base two) 10,11,101,111,1011,1101,... and these will also generate the Works of Shakespeare. You could take these as being 8-bit ASCII, 7-bit ASCII, or even 16-bit Unicode. Again one could concatenate the squares, 1,100,1001,10000,11001,.... This will also generate Shakespeare.

The point is that there are many very simple algorithms that generate compicated output.