[BMCDA]

just like the words of a book contain more information than is embodied by an arbitrary collection of the same number of letters.

Wrong, an arbitrary collection of the same number of letters can contain more information than the original text. Just think of how this text looks like if you use a compression algorithm and how long the output may be if compared to the input.

[Rachumlakenschlaff]

Rachumlakenschlaff wrote:
just like the words of a book contain more information than is embodied by an arbitrary collection of the same number of letters.

BMCDA wrote:

Wrong, an arbitrary collection of the same number of letters can contain more information than the original text. Just think of how this text looks like if you use a compression algorithm and how long the output may be if compared to the input.

Ummmm. Neither the compression algorithm nor its output are arbitrary.