It admits no books in alien alphabets, nor any beyond the reasonable length say of the one you are now reading, but within those restrictions it boasts all possible books. There are books in all languages, transliterated where necessary. There are coherent books and incoherent, predominantly the latter. Other writers have sufficiently belabored the numbing combinatorial statistics. At 2,000 characters to the page we get 500,000 to the 250-page volume, so with say eighty capitals and smalls and other marks to choose from we arrive at the 500,000th power of eighty as the number of books in the library.
Numbers are cheap.
It is interesting, still, that the collection is finite. The entire and ultimate truth about everything is printed in full in that library, after all, insofar as it can be put in words at all. In seeking the truth we have no way of knowing which volume to pick up nor which to follow it with, but it is all right there. We could narrow down the choice by weeding out the gibberish, which makes up the bulk of the library. We could insist on English, and we could program a computer with English syntax and lexicon to do the scanning and discarding.