Zafiris elias (22 Ergebnisse)

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Differential Sheaves and Connections
Mallios, National And Kapodistrian University Of Athens Greece Anastasios; Zafiris, National And Kapodistrian University Of Athens Greece Elias
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Zustand: New. In der Buchreihe des Bonn Center for Dependency and Slavery Studies werden Monographien und Tagungsbaende, die das Phaenomen der Sklaverei und andere Formen asymmetrischer Abhaengigkeiten in Gesellschaften untersuchen, veroeffentlicht. Die Reihe folgt dabe.

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Taschenbuch. Zustand: Neu. Neuware - Gödel's incompleteness theorems of 1931 challenged the foundations of mathematics - yet many mathematicians still adhere to rigid, Platonic notions.This book opens the door to a different perspective: mathematics as a creative, open system. The authors examine key revolutions of the 20th century and show that a flexible ontology reflects mathematical practice more accurately than traditional Platonism.A compelling contribution for anyone who wants to experience mathematics not as a frozen structure, but as a living, constantly evolving process.…

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In Natural Communication, the author criticizes the current paradigm of specific goal orientation in the complexity sciences and proposes an alternative that envisions a fundamental architectonics of communication. His model of 'natural communication' encapsulates modern theoretical concepts from mathematics and physics, in particular category theory and quantum theory. From these fields it abstracts precise concepts such as to constitute a terminological basis for this theory which offers the opportunity to open up novel ways of thinking about complexity. The author is convinced that it is only possible to establish a continuity and coherence with contemporary thinking, especially with respect to complexity, through looking into the past.…

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Taschenbuch. Zustand: Neu. Architectonics of Constellations | The Constellatory Unfolding Leitmotif in Mathematical Thinking | Elias Zafiris (u. a.) | Taschenbuch | Applied Virtuality Book Series | 320 S. | Englisch | 2026 | Birkhäuser Verlag GmbH | EAN 9783035631043 | Verantwortliche Person für die EU: De Gruyter GmbH, Genthiner Str. 13, 10785 Berlin, productsafety[at]degruyterbrill[dot]com | Anbieter: preigu.…

Sprache: Englisch
Verlag: Lexington Books, 2015
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Taschenbuch. Zustand: Neu. Neuware -Gödel's incompleteness theorems of 1931 challenged the foundations of mathematics - yet many mathematicians still adhere to rigid, Platonic notions.This book opens the door to a different perspective: mathematics as a creative, open system. The authors examine key revolutions of the 20th century and show that a flexible ontology reflects mathematical practice more accurately than traditional Platonism.A compelling contribution for anyone who wants to experience mathematics not as a frozen structure, but as a living, constantly evolving process. 320 pp. Englisch.…

Sprache: Englisch
Verlag: Lexington Books, 2013
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume offers a fundamentally different way of conceptualizing time and reality. Today, we see time predominantly as the linear-sequential order of events, and reality accordingly as consisting of facts that can be ordered along sequential time. But what if this conceptualization has us mistaking the 'exhausts' for the 'real thing', i.e. if we miss the best, the actual taking place of reality as it occurs in a very differently structured, primordial form of time, the time-space of the present In this new conceptual framework, both the sequential aspect of time and the factual aspect of reality are emergent phenomena that come into being only after reality has actually taken place. In the new view, facts are just the 'traces' that the actual taking place of reality leaves behind on the co-emergent 'canvas'' of local spacetime. Local spacetime itself emerges only as facts come into being - and only facts can be adequately localized in it.But, how does reality then actually occur It is conceived as a 'constellatory self-unfolding', characterized by strong self-referentiality, and taking place in the primordial form of time, the not yet sequentially structured 'time-space of the present'. Time is seen here as an ontophainetic platform, i.e. as the stage on which reality can first occur. This view of time (and, thus, also space) seems to be very much in accordance with what we encounter in quantum physics before the so-called collapse of the wave function. In parallel, classical and relativistic physics largely operate within the factual portrait of reality, and the sequential aspect of time, respectively. Only singularities constitute an important exemption: here the canvas of local spacetime - that emerged together with factization - melts down again. In the novel framework quantum reduction and singularities can be seen and addressed as inverse transitions: In quantum physical state reduction reality 'gains' the chrono-ontological format of facticity, and the sequential aspect of time becomes applicable. In singularities, by contrast, the inverse happens: Reality loses its local spacetime formation and reverts back into its primordial, pre-local shape - making in this way the use of causality relations, Boolean logic and the dichotomization of subject and object obsolete. For our understanding of the relation between quantum and relativistic physics this new view opens up fundamentally new perspectives: Both are legitimate views of time and reality, they just address very different chrono-ontological portraits, and thus should not lead us to erroneously subjugating one view under the other. The task of the book is to provide a formal framework in which this radically different view of time and reality can be addressed properly. The mathematical approach is based on the logical and topological features of the Borromean Rings. It draws upon concepts and methods of algebraic andgeometric topology - especially the theory of sheaves and links, group theory, logic and information theory, in relation to the standard constructions employed in quantum mechanics and general relativity, shedding new light on the pestilential problems of their compatibility. The intended audience includes physicists, mathematicians and philosophers with an interest in the conceptual and mathematical foundations of modern physics.…

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume offers a fundamentally different way of conceptualizing time and reality. Today, we see time predominantly as the linear-sequential order of events, and reality accordingly as consisting of facts that can be ordered along sequential time. But what if this conceptualization has us mistaking the 'exhausts' for the 'real thing', i.e. if we miss the best, the actual taking place of reality as it occurs in a very differently structured, primordial form of time, the time-space of the present In this new conceptual framework, both the sequential aspect of time and the factual aspect of reality are emergent phenomena that come into being only after reality has actually taken place. In the new view, facts are just the 'traces' that the actual taking place of reality leaves behind on the co-emergent 'canvas'' of local spacetime. Local spacetime itself emerges only as facts come into being - and only facts can be adequately localized in it.But, how does reality then actually occur It is conceived as a 'constellatory self-unfolding', characterized by strong self-referentiality, and taking place in the primordial form of time, the not yet sequentially structured 'time-space of the present'. Time is seen here as an ontophainetic platform, i.e. as the stage on which reality can first occur. This view of time (and, thus, also space) seems to be very much in accordance with what we encounter in quantum physics before the so-called collapse of the wave function. In parallel, classical and relativistic physics largely operate within the factual portrait of reality, and the sequential aspect of time, respectively. Only singularities constitute an important exemption: here the canvas of local spacetime - that emerged together with factization - melts down again. In the novel framework quantum reduction and singularities can be seen and addressed as inverse transitions: In quantum physical state reduction reality 'gains' the chrono-ontological format of facticity, and the sequential aspect of time becomes applicable. In singularities, by contrast, the inverse happens: Reality loses its local spacetime formation and reverts back into its primordial, pre-local shape - making in this way the use of causality relations, Boolean logic and the dichotomization of subject and object obsolete. For our understanding of the relation between quantum and relativistic physics this new view opens up fundamentally new perspectives: Both are legitimate views of time and reality, they just address very different chrono-ontological portraits, and thus should not lead us to erroneously subjugating one view under the other. The task of the book is to provide a formal framework in which this radically different view of time and reality can be addressed properly. The mathematical approach is based on the logical and topological features of the Borromean Rings. It draws upon concepts and methods of algebraic andgeometric topology - especially the theory of sheaves and links, group theory, logic and information theory, in relation to the standard constructions employed in quantum mechanics and general relativity, shedding new light on the pestilential problems of their compatibility. The intended audience includes physicists, mathematicians and philosophers with an interest in the conceptual and mathematical foundations of modern physics.…

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Sprache: Englisch
Verlag: Lexington Books, 2013
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