The Concept of Law in Science, European Review European Review (Cambridge University Press) Vol 22, supplement no.1 (2014)
Proceedings of an International Conference on Complexity of the Academia Europaea (The Academy of Europe) supported by the Klaus Tschira Stiftung.
The conference topic was dedicated to the concept of law in science. In the classical tradition, natural laws were considered as eternal truths of the world. Galileo and Newton even proclaimed them as "thoughts of God" represented by mathematical equations. In the Kantian tradition, they became categories of the human mind. David Hume criticized their ontological status and demanded their reduction to habituations of sentiments and statistical correlations of observations.
(with H.-D. Ebbinghaus, H. Hermes, F. Hirzebruch, M. Koecher, J. Neukirch, A. Prestel, R. Remmert), Springer: Berlin/Heidelberg/New York/Tokyo 1990,
391 pages, (German editions: 1983, 3rd edition 1992).
This is a book about numbers - all kinds of numbers, from integers to p-adics, from rationals to octonions, from reals to infinitesimals. This is the story about one of the major threads of mathematics over thousands of years. This is also a fundamental view of some major developments in the 20th century mathematics.
Japanese Translation of
the German Edition 1983:
Numbers 2 vols.
Springer: Tokyo 1992, 452 pages
French Translation of the
3rd German Edition 1992:
Vuibert 1998, 433 pages
Philosophy and Physics of Space-Time (German)
(Ed. with J. Audretsch), Series: Foundations of Mathematical Sciences vol. 7, B. I. Wissenschaftsverlag: Mannheim/Wien/Zürich 1988, 231 pages, 2nd edition 1994.
Physical foundations of space-time in special relativity with respect to philosophical and historical aspects.
Contributions of K. Mainzer, J. Audretsch, P. Mittelstaedt, E. Scheibe, G. Ludwig, J. Schröter, J. Ehlers, P. Janich.
The Beginning of the Universe.
Science - Philosophy - Religion - Myth (German)
(Ed. with J. Audretsch), C.H. Beck: München 1989, 2nd edition 1990, 288 pages.
Discussion of the relativistic standard models in modern cosmology with respect to philosophical and religious questions of the world view. Contributions of K. Mainzer, J. Mittelstraß, J. Audretsch, G. A. Tammann, H. Dehnen, B. Kanitscheider, A. Deißler, K. Hübner.
How Many Lives has Schrödinger’s Cat?
Physics and Philosophy of Quantum Mechanics
(Ed. with J. Audretsch), B.I. Wissenschaftsverlag: Mannheim/Wien/Zürich 1990, 318 pages, 2nd edition: Spektrum-Verlag: Heidelberg/Berlin/Oxford 1996.
Introduction of quantum mechanical concepts and epistemic discussion of the measurement problem (‘Schrödinger’s Cat’). Contributions of J.Audretsch, A. Zeilinger, H. Walther, P. Mittelstaedt, E. Scheibe, G. Ludwig, H. Primas, K. Mainzer.
The Question of Life (German)
(Ed. with E. P. Fischer), Piper-Verlag: Munich 1990, 264 pages.
Nearly fifty years after Schrödinger’s famous book ‘What is Life?’, physicists, chemists, biologists, mathematicians, and philosophers discuss the origin of life from a modern point of view. Contributions of K. Mainzer, E. P. Fischer, H. Primas, B.-O. Küppers, R. Knippers, H. Haken/A. Wunderlin, G. Adam, E. Florey, E. Bohl.
Natural Sciences and Humanities.
Perspectives and Experiences with Interdisciplinary Teaching (German) (Ed.), Springer: Berlin/Heidelberg/New York/London/Tokyo 1990, 124 pages.
The global problems arising with modern technology, economy, and society cannot be solved in the disciplinary framework of sciences.
The book discusses interdisciplinary models of teaching in several universities and institutions. Contributions of K. Mainzer, W. Wild, U. Müller-Herold, J. Brüning, W. Arber, J. Audretsch, J. Becker, C. Rückhardt, H. Mohr, W. Prinz, D. Groh, H. Gassert.
Economy and Ecology (German/French)
(Ed.), P. Haupt-Verlag: Bern/Stuttgart 1993.
German-Swiss conference on ecological, economical, social, and political problems of modern society with contributions of R. Bürgenmeier, C. Raffestin, K. Mainzer, R. Blum, S. C. Schaltegger, A. J. Sturm, G. Gandard, J. Grinevald, U. Müller-Herold, R. Civelli, D. Wachter, R. Schmidt, M. Timmermann.
Quanta, Chaos, and Demons.
Epistemic Aspects of Modern Physics (German)
(Ed. with W. Schirmacher), B.I. Wissenschaftsverlag: Mannheim/Wien/Zürich 1994, 363 pages.
Epistemic discussion of chaos theory, quantum theory (‘quantum chaos’), and applications of complex dynamical systems in nature and society. Contributions of K. Mainzer, J. Audretsch, P. Mittelstaedt, P. Busch, W. Brenig, H. Thomas, T. Leiber, H. Friedrich, O. E. Rössler, H. Haken, A. Wunderlin, W. Weidlich, M. Markus, P. Kafka.
From Simplicity to Complexity. Part II
(Ed. with A. Müller and W. G. Saltzer), Vieweg: Braunschweig/Wiesbaden 1998, 233 pages.
Physicists, chemists, biologists, and philosophers of science try to decode nature's pathways from simple to more complex systems. Contributions of S. D. Bosanac, H.-P. Dürr, T. Görnitz, C. K. Jørgensen, T. Dorfmüller, A. Müller, M. T. Pope, C. L. Hill, X. Zhang, B. Hess, W. F. Gutmann, G. J. Klauer, K. Mainzer, P. L. Eisenhardt, D. Kurth, E. R. Scerri, R. E. Zimmermann, R. Löther, H. Hörz, W. G. Saltzer.
Complex Systems and Nonlinear Dynamics in Nature and Society. Complexity Research in Germany towards the next Century (German) (Ed.) Springer: Berlin/Heidelberg /New York 1999, 484 pages.
ISBN 3 540 65329 5
Complex Systems are analyzed in different sciences like physics, chemistry, biology and medicine, but also in cognitive sciences and psychology, sociology and economics.
The book is a comprehensive overview on current and future research on complex systems and nonlinear dynamics in nearly all disciplines of sciences. It dates back to the 1st congress of the German Society of Complex Systems and Nonlinear Dynamics and can be read in the internet. Contributions by K. Mainzer, H. Haken, S. Großmann, J. Kurths, H. Kantz, E. R. Nakamura, A. Müller, P. Schuster, H. Meinhard, C. von der Malsburg, M. A. Stadler, K.-H. Leist, Z. J. Kowalik, T. Leiber, U. an der Heiden, H. M. Emrich, K. G. Troitzsch, W. Weidlich, G. Küppers, H.-W. Lorentz, C. J. G. Evertsz, H.-O. Peitgen, F. J. Radermacher, W. Ebeling et al.
European Review (Cambridge University Press) Vol 17 (2009) 2, p. 219-452
Proceedings of an International Conference on Complexity of the Academia Europaea (The Academy of Europe) supported by the Klaus Tschira Stiftung
The theory of nonlinear complex systems has become a proven problem-solving approach in the natural sciences from cosmic and quantum systems to cellular organisms and the brain. It is now recognized that many of our ecological, social, economic, and political problems are also of a global, complex, and nonlinear nature ... Cover/Content
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