74 found
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  1.  4
    Thinking in Complexity: The Complex Dynamics of Matter, Mind, and Mankind.Klaus Mainzer - 1994 - Springer.
    The theory of nonlinear complex systems has become a successful and widely used problem-solving approach in the natural sciences - from laser physics, quantum chaos and meteorology to molecular modeling in chemistry and computer simulations of cell growth in biology. In recent times it has been recognized that many of the social, ecological and political problems of mankind are also of a global, complex and nonlinear nature. And one of the most exciting topics of present scientific and public interest is (...)
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  2. Symmetry and Complexity. The Spirit and Beauty of Nonlinear Science.Klaus Mainzer - 2008 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 39 (1):173-177.
  3.  49
    Thinking in complexity: the computational dynamics of matter, mind, and mankind.Klaus Mainzer - 2004 - New York: Springer.
    Even beginners and young graduate students will have something to learn from this book." (Andre Hautot, Physicalia, Vol. 57 (3), 2005)"All-in-all, this highly ...
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  4.  1
    Symmetries of Nature: A Handbook for Philosophy of Nature and Science.Klaus Mainzer - 1996 - De Gruyter.
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  5.  5
    Wie Berechenbar Ist Unsere Welt: Herausforderungen Für Mathematik, Informatik Und Philosophie Im Zeitalter der Digitalisierung.Klaus Mainzer - 2018 - Springer Fachmedien Wiesbaden.
    Klaus Mainzer legt in diesem essential dar, dass die Zukunft von KI und Digitalisierung eine nüchterne Analyse erfordert, die Grundlagenforschung mit Anwendung verbindet. Berechenbarkeits- und Beweistheorie können dazu beitragen, Big Data und Machine Learning sicherer zu bewältigen. Dabei zeigt sich, dass die komplexen Herausforderungen der digitalen und analogen Welt in Grundlagenfragen der Mathematik, Informatik und Philosophie tief verwurzelt sind.
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  6. ECAP10. VIII European Conference on Computing and Philosophy.Klaus Mainzer (ed.) - 2010 - Hut.
     
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  7. The Embodied Mind: On Computational, Evolutionary, and Philosophical Interpretations of Cognition.Klaus Mainzer - 2005 - Synthesis Philosophica 20 (2):389-406.
    Modern cognitive science cannot be understood without recent developments in computer science, artificial intelligence, robotics, neuroscience, biology, linguistics, and psychology. Classic analytic philosophy as well as traditional AI assumed that all kinds of knowledge must eplicitly be represented by formal or programming languages. This assumption is in contradiction to recent insights into the biology of evolution and developmental psychology of the human organism. Most of our knowledge is implicit and unconscious. It is not formally represented, but embodied knowledge which is (...)
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  8.  14
    Symmetry and Complexity - Fundamental Concepts of Research in Chemistry.Klaus Mainzer - 1997 - Hyle 3 (1):29 - 49.
    Molecules have more or less symmetric and complex structures which can be defined in the mathematical framework of topology, group theory, dynamical systems theory, and quantum mechanics. But symmetry and complexity are by no means only theoretical concepts of research. Modern computer aided visualizations show real forms of matter which nevertheless depend on the technical standards of observation, computation, and representation. Furthermore, symmetry and complexity are fundamental interdisciplinary concepts of research inspiring the natural sciences since the antiquity.
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  9.  1
    Symmetrien der Natur: Ein Handbuch zur Natur- und Wissenschaftsphilosophie.Klaus Mainzer - 1988 - De Gruyter.
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  10.  4
    System: An Introduction to Systems Science.Klaus Mainzer - 2004 - In Luciano Floridi (ed.), The Blackwell Guide to the Philosophy of Computing and Information. Oxford, UK: Blackwell. pp. 28–39.
    The prelims comprise: Introduction Basic Concepts of Systems Science Dynamical Systems, Chaos, and Other Attractors Dynamical Systems and Time‐series Analysis Dynamical Systems in Nature and Society Dynamical, Information, and Computational Systems.
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  11.  59
    Der verkörperte geist: Über komputationale, evolutionäre und philosophische interprätationen der kognition.Klaus Mainzer - 2005 - Synthesis Philosophica 20 (2):389-406.
    Die moderne Kognitionswissenschaft kann nicht verstanden werden ohne Einbeziehung der neuesten Errungenschaften aus der Computerwissenschaft, künstlichen Intelligenz , Robotik, Neurowissenschaft, Biologie, Linguistik und Psychologie. Die klassische analytische Philosophie, wie auch die traditionelle AI, setzten voraus, dass alle Arten des Wissens explizit durch formale oder Programmsprachen dargestellt werden müssen. Diese Annahme steht im Widerspruch zu den rezenten Einsichten in die Evolutionsbiologie und Entwicklungspsychologie des menschlichen Organismus. Der größte Teil unseres Wissens ist implizit und unbewusst. Es ist kein formal repräsentiertes, sondern ein (...)
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  12. Wieviele Leben Hat Schrödingers Katze?Jürgen Audretsch & Klaus Mainzer (eds.) - 1990 - Bibliographisches Institut.
  13.  2
    Proof and Computation.Klaus Mainzer, Peter Schuster & Helmut Schwichtenberg (eds.) - 1995 - World Scientific.
    Proceedings of the NATO Advanced Study Institute on Proof and Computation, held in Marktoberdorf, Germany, July 20 - August 1, 1993.
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  14. Das Begründungsproblem des mathematischen Kontinuums in der neuzeitlichen Entwi..Klaus Mainzer - 1976 - Philosophia Naturalis 16:125-137.
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  15.  3
    Dynamisches Denken und Handeln: Philosophie und Wissenschaft in einer komplexen Welt: Festschrift für Klaus Mainzer zum 60. Geburtstag.Klaus Mainzer & Theodor Leiber (eds.) - 2007 - Stuttgart: S. Hirzel.
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  16. From Mathesis Universalis to Provability, Computability, and Constructivity.Klaus Mainzer - 2019 - In Peter Schuster, Deniz Sarikaya, Sara Negri & Stefania Centrone (eds.), Mathesis Universalis, Computability and Proof. Springer Verlag.
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  17. Grundlagenprobleme in der Geschichte der exakten Wissenschaften.Klaus Mainzer - 1981
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  18.  1
    Integration als globale Herausforderung der Menschheit: Beiträge der Deutsch-Japanischen Gesellschaft für Integrative Wissenschaft.Klaus Mainzer (ed.) - 2012 - Dettelbach: J.H. Röll.
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  19. Kants Philosophische Begründung des Mathematischen Konstructivismus Und Seine Wirkung in der Grundlagenforschung, Mit Einem Anhang Zur Mathematischen Präzisierung des Konstructiven Prädikativismus.Klaus Mainzer - 1973 - [S.N.].
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  20. Leben als Maschine? : Perspektiven der Forschung : Hoffungen und Ängste der Menschen.Klaus Mainzer - 2016 - In Elif Özmen (ed.), Über Menschliches: Anthropologie zwischen Natur und Utopie. Mentis.
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  21. Literatur, Artes Und Philosophie.Klaus Mainzer - 1992 - De Gruyter.
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  22. Leonardo-Welt Über Wissenschaft, Forschung und Verantwortung. [REVIEW]Klaus Mainzer - 1993 - ProtoSociology 5:163-166.
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  23. Logik des Beweisens.Klaus Mainzer - 1981 - In Oswald Schwemmer & Friedrich-Alexander-Universität Erlangen-Nürnberg (eds.), Vernunft, Handlung und Erfahrung: über die Grundlagen und Ziele der Wissenschaften. Beck.
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  24.  4
    Quanten, Chaos und Dämonen: erkenntnistheoretische Aspekte der modernen Physik.Klaus Mainzer & Walter Schirmacher - 1994
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  25. Toward a Theory of Intelligent Complex Systems: From Symbolic AI to Embodied and Evolutionary AI.Klaus Mainzer - 2016 - In Vincent Müller (ed.), Fundamental Issues of Artificial Intelligence. Springer.
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  26.  3
    The digital and the real world: computational foundations of mathematics, science, technology, and philosophy.Klaus Mainzer - 2017 - [Hackensack,] New Jersey: World Scientific.
    In the 21st century, digitalization is a global challenge of mankind. Even for the public, it is obvious that our world is increasingly dominated by powerful algorithms and big data. But, how computable is our world? Some people believe that successful problem solving in science, technology, and economies only depends on fast algorithms and data mining. Chances and risks are often not understood, because the foundations of algorithms and information systems are not studied rigorously. Actually, they are deeply rooted in (...)
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  27. Utjelovljeni um. O komputacijskim, evolucijskim i filozofskim tumačenjima spoznaje: The Embodied Mind.Klaus Mainzer - 2006 - Filozofska Istrazivanja 26 (2):405-421.
    Suvremenu kognitivnu znanost ne možemo razumjeti bez najnovijeg razvoja računalne znanosti, umjetne inteligencije , robotike, neuroznanosti, biologije, lingvistike i psihologije. Kako klasična analitička filozofija, tako i tradicionalna AI pretpostavile su da sve vrste znanja moramo prikazati formalnim ili programskim jezicima. Ova je pretpostavka u proturječju s nedavnim uvidima u biologiju evolucije i razvojnu psihologiju ljudskog organizma. Većina je našega znanja implicitna i nesvjesna. To nije formalno prikazano, nego utjelovljeno znanje koje učimo radeći, a razumijevamo tjelesnim suodnosom s ekološkim nišama i (...)
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  28. Von Einstein zur Medien-und Wissensgesellschaft.Klaus Mainzer - 2007 - In Philipp W. Balsiger & Rudolf Kötter (eds.), Die Kultur Moderner Wissenschaft Am Beispiel Albert Einstein. Spektrum Akademischer Verlag. pp. 97.
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  29. Wie ist ein 'Newton des Gehirns' möglich? - Grundlagen, Erfolge und Grenzen mathematischer Modellierung in der Hirnforschung.Klaus Mainzer - 1995 - Ethik Und Sozialwissenschaften 6 (1):103.
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  30.  24
    The Digital and the Real Universe. Foundations of Natural Philosophy and Computational Physics.Klaus Mainzer - 2019 - Philosophies 4 (1):3-0.
    In the age of digitization, the world seems to be reducible to a digital computer. However, mathematically, modern quantum field theories do not only depend on discrete, but also continuous concepts. Ancient debates in natural philosophy on atomism versus the continuum are deeply involved in modern research on digital and computational physics. This example underlines that modern physics, in the tradition of Newton’s Principia Mathematica Philosophiae Naturalis, is a further development of natural philosophy with the rigorous methods of mathematics, measuring, (...)
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  31.  36
    Computer Technology and Evolution.Klaus Mainzer - 1998 - Techné: Research in Philosophy and Technology 4 (1):63-71.
  32.  25
    Objektivität durch konstruktive Verfahren.Klaus Mainzer - 1975 - Kant Studien 66 (1-4):446.
  33.  30
    The Embodied Mind.Klaus Mainzer - 2006 - Filozofska Istrazivanja 26 (2):405-421.
  34.  27
    Attractors of Mathematical Progress—the Complex Dynamics of Mathematical Research.Klaus Mainzer - 2000 - In Emily Grosholz & Herbert Breger (eds.), The Growth of Mathematical Knowledge. Kluwer Academic Publishers. pp. 387--406.
  35.  41
    Knowledge-based systems.Klaus Mainzer - 1990 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 21 (1):47-74.
    No kind of technology has had such a profound effect upon our lives and society as the new knowledge-based systems which start to overcome the traditional computer technology. Few areas of science raise such high expectations and meet with so much sceptical resistance as Artificial Intelligence (AI). So it is the task of philosophy of science and technology to analyze the factual methodological possibilities of AI-technology. After a historical sketch of AI-development (Chapter 2), the technological foundations of expert systems are (...)
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  36.  18
    From Augmented Reality to the Internet of Things: Paradigm Shifts in Digital Innovation Dynamics.Klaus Mainzer - 2017 - In José María Ariso (ed.), Augmented Reality: Reflections on its Contribution to Knowledge Formation. De Gruyter. pp. 25-40.
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  37.  21
    L'intellect incarné: Sur Les interprétations computationnelLes, évolutives et philosophiques de la connaissance.Klaus Mainzer - 2005 - Synthesis Philosophica 20 (2):389-406.
    La science cognitive moderne ne peut être comprise sans les progrès récents en informatique, intelligence artificielle, robotique, neuroscience, biologie, linguistique et psychologie. La philosophie analytique classique et l’intelligence artificielle traditionnelle présumaient que toutes les sortes de savoir devaient être représentées explicitement par des langages formels ou programmatiques. Cette thèse est en contradiction avec les découvertes récentes en biologie de l’évolution et en psychologie évolutive de l’organisme humain. La majeure partie de notre savoir est implicite et inconsciente. Elle n’est pas représentée (...)
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  38.  17
    2.2 Grundlagen neuronaler Netze.Klaus Mainzer - 1994 - In Computer - Neue Flügel des Geistes?: Die Evolution Computergestützter Technik, Wissenschaft, Kultur Und Philosophie. De Gruyter. pp. 247-275.
  39.  22
    Computational Models and Virtual Reality. New Perspectives of Research in Chemistry.Klaus Mainzer - 1999 - Hyle 5 (2):135 - 144.
    Molecular models are typical topics of chemical research depending on the technical standards of observation, computation, and representation. Mathematically, molecular structures have been represented by means of graph theory, topology, differential equations, and numerical procedures. With the increasing capabilities of computer networks, computational models and computer-assisted visualization become an essential part of chemical research. Object-oriented programming languages create a virtual reality of chemical structures opening new avenues of exploration and collaboration in chemistry. From an epistemic point of view, virtual reality (...)
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  40.  16
    Utjelovljeni um. O komputacijskim, evolucijskim i filozofskim tumačenjima spoznaje.Klaus Mainzer - 2006 - Filozofska Istrazivanja 26 (2):405-421.
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  41.  13
    Symmetrie und Invarianz.Klaus Mainzer - 1983 - der 16. Weltkongress Für Philosophie 2:830-837.
    Die platonische Naturphilosophie erklärte die Symmetrie der Welt durch statische reguläre Körper, deren Konstruktion in der Euklidischen Geometrie gerschtfertigt wurde. Demgegenüber sucht die neuzeitliche Naturwissenschaft die Symmetrien der Welt in ihren dynamischen Makro- und Mikrogesstzen, die invariant bleiben gegen physikalische Automorphismen. Dabei fällt der mathematischen Gruppentheorie eine Schlüsselrolle zu. Invarianten zur Beschreibung von Symmetrien werden nicht nur in der Relativitätstheorie, Quantenmechankik und Kristallogie entdeckt, sondern neurdings such in Biologie, Chemie und Madizin.
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  42.  16
    Philosophische Grundlagen und die Entwicklung der Mathematik.Klaus Mainzer - 1983 - Grazer Philosophische Studien 20:179-197.
    Mit P. Bernays geht S. Körner in der Nachfolge von I. Kant und J.F. Fries davon aus, "daß eine gewisse Art rein-anschaulicher Erkenntnis als Ausgangspunkt der Mathematik genommen werden muß." Andererseits betont Körner einen Wechsel z.B. der geometrischen Anschauung in den nicht-euklidischen Geometrien, der durch die Unabhängigkeitsbeweise für geometrische Axiome (z.B. Parallelenaxiom) möglich wurde. Analog könnte man von einem Wechsel der mengentheoretischen Anschauung in nicht-cantorschen Mengenlehren sprechen, der durch Unabhängigkeitsbeweise mengentheoretischer Axiome (z.B. Auswahlaxiom, Kontinuumshypothese) eingeleitet wurde. In der Algebra werden (...)
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  43.  17
    Der Raum im Anschluss an Kant.Klaus Mainzer - 1978 - Perspektiven der Philosophie 4:161-175.
  44.  12
    Computer Technology and Evolution.Klaus Mainzer - 1998 - Techné: Research in Philosophy and Technology 4 (1):63-71.
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  45.  22
    Interdisciplinarity and innovation dynamics. On convergence of research, technology, economy, and society.Klaus Mainzer - 2011 - Poiesis and Praxis 7 (4):275-289.
    In the age of globalization, economic growth and the welfare of nations decisively depend on basic innovations. Therefore, education and knowledge is an important advantage of competition in highly developed countries with high standards of salaries, but raw material shortage. In the twenty-first century, innovations will arise from problem-oriented research, crossing over traditional faculties and disciplines. Therefore, we need platforms of interdisciplinary dialogue to choose transdisciplinary problems and to cluster new portfolios of technologies. The clusters of research during the excellence (...)
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  46.  22
    Symmetrie und symmetriebrechung.Klaus Mainzer - 1988 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 19 (2):290-307.
    In spite of their growing specialization, modern natural sciences intend to reduce their theories to some fundamental structures: Physics tries to unify the different physical forces in one fundamental force. Chemistry tries to explain the structure of chemical substances by the quantum mechanics of molecules. Biology tries to reduce the processes of life to biochemical and biophysical laws. Mathematically, the unification of natural science can be described by structures of symmetry, the specialization of science, the variety, and emergence of new (...)
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  47.  11
    4.2 Computergestützte Sprachphilosophie.Klaus Mainzer - 1994 - In Computer - Neue Flügel des Geistes?: Die Evolution Computergestützter Technik, Wissenschaft, Kultur Und Philosophie. De Gruyter. pp. 631-664.
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  48.  17
    Is the intuitionistic bar-induction a constructive principle?Klaus Mainzer - 1977 - Notre Dame Journal of Formal Logic 18 (4):583-588.
  49. Zeit in dynamischen Systemen. Von der Urzeit zur Computerzeit.Klaus Mainzer - 2004 - In Dieter Simon (ed.), Zeithorizonte in der Wissenschaft. Walter de Gruyter. pp. 75-100.
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  50.  9
    4.3 Computergestützte Wissenschaftstheorie.Klaus Mainzer - 1994 - In Computer - Neue Flügel des Geistes?: Die Evolution Computergestützter Technik, Wissenschaft, Kultur Und Philosophie. De Gruyter. pp. 664-742.
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