Either we abandon the long-honored Theory of Relativity, or we cease to believe that we can engage in continued accurate prediction of the future. Indeed, knowing the future raises a host of questions which cannot be answered under conventional assumptions unless one first projects an Observer outside of Time and, second, nullifies all movement. If you accept the Theory of Relativity, it can be shown that Time and the Observer must stand still in relationship to each or inaccuracies will intervene. This would seem to say that it is impossible to engage in accurate prediction of the future. How, then, do we explain the continued seeking after this visionary goal by respected scientists? How, then, do we explain Muad'Dib?
Lectures on Prescience by Harq al-Ada
Children of Dune

This was Muad'Dib's achievement: He saw the subliminal reservoir of each individual as an unconscious bank of memories going back to the primal cell of our common genesis. Each of us, he said, can measure out his distance from that common origin. Seeing this and telling of it, he made the audacious leap of decision. Muad'Dib set himself the task of integrating genetic memory into ongoing evaluation. Thus did he break through Time's veils, making a single thing of the future and the past. That was Muad'Dib's creation embodied in his son and his daughter.
Testament of Arrakis by Harq al-Ada
Children of Dune

Natural selection has been described as an environment selectively screening for those who will have progeny. Where humans are concerned, though, this is an extremely limiting viewpoint. Reproduction by sex tends toward experiment and innovation. It raises many questions, including the ancient one about whether environment is a selective agents after the variation occurs, or whether environment plays a pre-selective role in determining the variations which it screens. Dune did not really answer those questions: it merely raised new questions which Leto and the Sisterhood may attempt to answer over the next five hundred generations.
The Dune Catastrophe After Harq al-Ada
Children of Dune

Peace demands solutions, but we never reach living solutions; we only work toward them. A fixed solution is, by definition, a dead solution. The trouble with peace is that it tends to punish mistakes instead of rewarding brilliance.
The Words of My Father: an account of Muad'Dib reconstructed by Harq al-Ada
Children of Dune

There exist obvious higher-order influences in any planetary system. This is often demonstrated by introducing terraform life onto newly discovered planets. In all such cases, the life in similar zones develops striking similarities of adaptive form. This form signifies much more than shape; it connects a survival organization and a relationship of such organizations. The human quest for this interdependent order and our niche within it represents a profound necessity. The quest can, however, be perverted into a conservative grip on sameness. This has always proved deadly for the entire system.
The Dune Catastrophe after Harq al-Ada
Children of Dune