library

Following Joyce’s Ulysses and Finnegan’s Wake, Queneau’s Cent mille milliards de poèmes and Borges’ The Library of Babel, the ternary relation R(x, y, z) where

x is the primary identifier

y is the secondary identifier and

z is the value associated with x and y,

describes a schema capable of both indexing and containing any and all texts.

The relation on x and y supports the concept of class and attribute and allows the construction of syntactic structures of any complexity. The resulting name value relation between (x, y) and (z) allows the creation of both propositional and predicate grammars, (including the Chomsky hierarchy).

When combined with the binary class {0, 1, 00, 01, 10, 11, 000, . . .} of N length symbol strings where N equals {1, 2, 3, . . .}, the library contains all possible binary combinations of x, y, and z and, as a result, all classes, attributes and relations as well as all formal grammars and the statements derived from them.