 |
Bates Hall at the Boston Public Library |
One of the most effective metaphors for evolutionary change is the image of an exploration of a space, perhaps a map that shows "fitness peaks" or, better, a library of possibilities. The philosopher Daniel Dennett, writing in Darwin's Dangerous Idea, suggested The Library of Mendel as a way of thinking about the total set of possible gene sequences. He was adapting an idea famously employed in a short story by Jorge Luis Borges called "The Library of Babel," which consists of the total set of possible books of a particular length. (This "library" exists on a website designed for creators and researchers.)
Contemplating a space of possibilities—whether that space consists of books written in English (26 letters), or "books" written in the language of DNA (four letters), or "books" written in the language of protein (20 letters)—is both fun and dizzying. The dizziness is induced (for me, at least) by the vastness of these libraries (Babel or Mendel, doesn't matter). How vast? Here is how Dennett describes the Library of Babel's size (italics are his):
No actual astronomical quantity (such as the number of elementary particles in the universe, or the amount of time since the Big Bang, measured in nanoseconds) is even visible against the backdrop of these huge-but-finite numbers. If a readable volume in the Library were as easy to find as a particular drop in the ocean, we'd be in business!
—Darwin's Dangerous Idea, p. 109
Dennett then uses Vast to indicate "Very-much-more-than-astronomically" large and Vanishingly small to indicate the likelihood of something like discovering a "volume with so much as a grammatical sentence in it" in the Library. In other words, we lack words to adequately describe the size of the Library and the improbability of randomly discovering anything coherent inside it.