Information systems are anticipatory systems providing knowledge of the real world. If e-science is to operate reactively across the Grid it needs to be integrable with other information systems and e-commerce1. Theory suggests that four strong-anticipatory levels of computational types are sufficient to provide ultimate systemic closure with a single strong anticipation. Between the four level...

Artificial General Intelligence (AGI) seeks theories, models and techniques to endow machines with the kinds of intellectual abilities exemplified by humans. Yet, the predominant instance-driven approach in AI appears antithetical to this goal. This situation raises a question: What (if any) general principles underlie general intelligence? We approach this question from a (mathematical) catego...

Distinguished selfadjoint extension of Dirac operators are constructed for a class of potentials including Coulombic ones up to the critical case, −|x|. The method uses Hardy-Dirac inequalities and quadratic form techniques.

Abstract In the context of a geodesically complete Riemannian manifold M , we study self‐adjointness where ∇ is metric covariant derivative (with formal adjoint ) on Hermitian vector bundle over and V locally square integrable section such that (fiberwise) norm “negative” part belongs to local Kato class (or, more generally, contractive Dynkin class). Instead lower semiboundedness hypothesis, a...