The authors aim to reinstate a spirit of philosophical enquiry in physics. They abandon the intuitive continuum concepts and build up constructively a combinatorial mathematics of process. This radical change alone makes it possible to calculate the coupling constants of the fundamental fields which - via high energy scattering - are the bridge from the combinatorial world into dynamics. The untenable distinction between what is `observed', or measured, and what is not, upon which current quantum theory is based, is not needed. If we are to speak of mind, this has to be present - albeit in primitive form - at the most basic level, and not to be dragged in at one arbitrary point to avoid the difficulties about quantum observation. There is a growing literature on information-theoretic models for physics, but hitherto the two disciplines have gone in parallel. In this book they interact vitally.