The positivists have a simple solution: the world must be divided into that which we can say clearly and the rest, which we had better pass over in silence. But can anyone conceive of a more pointless philosophy, seeing that what we can say clearly amounts to next to nothing? If we omitted all that is unclear, we would probably be left completely uninteresting and trivial tautologies.

His thinking on Dirac's theory and further development of the theory were set forth in two papers. Per Heisenberg. In Heisenberg's tenure at Leipzig the quality of doctoral students post-graduate and research associates who studied and worked with Heisenberg there is attested to by the acclaim later earned by these people; at various times they included: Erich Bagge Felix Bloch Ugo Fano Siegfried Flügge William Vermillion Houston Friedrich Hund Robert S.

He also made important contributions to the theories of the hydrodynamics of turbulent flows the atomic nucleus ferromagnetism cosmic rays and subatomic particles and he was instrumental in planning the first West German nuclear reactor at Karlsruhe together with a research reactor in Munich in 1957. Heisenberg along with Max Born and Pascual Jordan set forth the matrix formulation of quantum mechanics in 1925. Considerable controversy surrounds his work on atomic research during World War II.