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Interoperability and objects

The book A Generative Theory of Shape (Michael Leyton, Springer-Verlag, 2001) develops new foundations for geometry specifically designed to give a single mathematical language for the enormous range of information objects involved in the product lifecycle. This is done by giving a mathematical theory of the structure of intelligently-generated objects. It is argued that intelligence is characterised by maximising transfer and recoverability - which are, in fact, the basic properties of interoperability. Thus the book gives a mathematical theory of intelligence, and, in doing so, brings interoperability into the very foundations of geometry.