In Taleb's The Black Swan, he talks about author Umberto Eco's library of 30,000 book. Eco stated he found he could only read about 25,200 books if he read one book a day, every day, between the ages of ten and eighty. A “trifle,” he laments, compared to the million books available at any good library.
Taleb called it an Antilibrary.
Read books are far less valuable than unread ones. [Your] library should contain **as much of what you do not know **as your financial means, mortgage rates, and the currently tight real-estate market allows you to put there. You will accumulate more knowledge and more books as you grow older, and the growing number of unread books on the shelves will look at you menacingly. Indeed, the more you know, the larger the rows of unread books. Let us call this collection of unread books an antilibrary
There is a much more subtle word that gets to heart of this — tsundoku 
tsundoku is the Japanese word for the stack(s) of books you’ve purchased but haven’t read. Its morphology combines **tsunde-oku **(letting things pile up) and dukosho