Randomness And Complexity From Leibniz To Chaitin
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Randomness And Complexity From Leibniz To Chaitin
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Author : Cristian S Calude
language : en
Publisher: World Scientific
Release Date : 2007-10-18
Randomness And Complexity From Leibniz To Chaitin written by Cristian S Calude and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-18 with Computers categories.
The book is a collection of papers written by a selection of eminent authors from around the world in honour of Gregory Chaitin's 60th birthday. This is a unique volume including technical contributions, philosophical papers and essays.
Randomness Through Computation
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Author : Hector Zenil
language : en
Publisher: World Scientific
Release Date : 2011
Randomness Through Computation written by Hector Zenil and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computers categories.
This review volume consists of an indispensable set of chapters written by leading scholars, scientists and researchers in the field of Randomness, including related subfields specially but not limited to the strong developed connections to the Computability and Recursion Theory. Highly respected, indeed renowned in their areas of specialization, many of these contributors are the founders of their fields. The scope of Randomness Through Computation is novel. Each contributor shares his personal views and anecdotes on the various reasons and motivations which led him to the study of the subject. They share their visions from their vantage and distinctive viewpoints. In summary, this is an opportunity to learn about the topic and its various angles from the leading thinkers.
Unravelling Complexity
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Author : Francisco Antônio Doria
language : en
Publisher: World Scientific
Release Date : 2020
Unravelling Complexity written by Francisco Antônio Doria and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Computational complexity categories.
The revolutions that Gregory Chaitin brought within the fields of science are well known. From his discovery of algorithmic information complexity to his work on Gödel's theorem, he has contributed deeply and expansively to such diverse fields. This book attempts to bring together a collection of articles written by his colleagues, collaborators and friends to celebrate his work in a festschrift. It encompasses various aspects of the scientific work that Chaitin has accomplished over the years. Topics range from philosophy to biology, from foundations of mathematics to physics, from logic to computer science, and all other areas Chaitin has worked on. It also includes sketches of his personality with the help of biographical accounts in some unconventional articles that will provide a rare glimpse into the personal life and nature of Chaitin. Compared to the other books that exist along a similar vein, this book stands out primarily due to its highly interdisciplinary nature and its scope that will attract readers into Chaitin's world
Nonlinearity Complexity And Randomness In Economics
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Author : Stefano Zambelli
language : en
Publisher: John Wiley & Sons
Release Date : 2012-01-17
Nonlinearity Complexity And Randomness In Economics written by Stefano Zambelli and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-17 with Business & Economics categories.
Nonlinearity, Complexity and Randomness in Economics presents a variety of papers by leading economists, scientists, and philosophers who focus on different aspects of nonlinearity, complexity and randomness, and their implications for economics. A theme of the book is that economics should be based on algorithmic, computable mathematical foundations. Features an interdisciplinary collection of papers by economists, scientists, and philosophers Presents new approaches to macroeconomic modelling, agent-based modelling, financial markets, and emergent complexity Reveals how economics today must be based on algorithmic, computable mathematical foundations
Causality Meaningful Complexity And Embodied Cognition
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Author : A. Carsetti
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-10
Causality Meaningful Complexity And Embodied Cognition written by A. Carsetti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-10 with Philosophy categories.
Arturo Carsetti According to molecular Biology, true invariance (life) can exist only within the framework of ongoing autonomous morphogenesis and vice versa. With respect to this secret dialectics, life and cognition appear as indissolubly interlinked. In this sense, for instance, the inner articulation of conceptual spaces appears to be linked to an inner functional development based on a continuous activity of selection and “anchorage” realised on semantic grounds. It is the work of “invention” and g- eration (in invariance), linked with the “rooting” of meaning, which determines the evolution, the leaps and punctuated equilibria, the conditions related to the unfo- ing of new modalities of invariance, an invariance which is never simple repetition and which springs on each occasion through deep-level processes of renewal and recovery. The selection perpetrated by meaning reveals its autonomy aboveall in its underpinning, in an objective way, the ongoing choice of these new modalities. As such it is not, then, concerned only with the game of “possibles”, offering itself as a simple channel for pure chance, but with providing a channel for the articulation of the “ le” in the humus of a semantic (and embodied) net in order to prepare the necessary conditionsfor a continuousrenewal and recoveryof original creativity. In effect, it is this autonomy in inventing new possible modules of incompressibility whichdeterminestheactualemergenceofnew(andtrue)creativity,whichalsotakes place through the “narration” of the effected construction.
Methods And Applications Of Algorithmic Complexity
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Author : Hector Zenil
language : en
Publisher: Springer Nature
Release Date : 2022-05-16
Methods And Applications Of Algorithmic Complexity written by Hector Zenil and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-16 with Technology & Engineering categories.
This book explores a different pragmatic approach to algorithmic complexity rooted or motivated by the theoretical foundations of algorithmic probability and explores the relaxation of necessary and sufficient conditions in the pursuit of numerical applicability, with some of these approaches entailing greater risks than others in exchange for greater relevance and applicability. Some established and also novel techniques in the field of applications of algorithmic (Kolmogorov) complexity currently coexist for the first time, ranging from the dominant ones based upon popular statistical lossless compression algorithms (such as LZW) to newer approaches that advance, complement, and also pose their own limitations. Evidence suggesting that these different methods complement each other for different regimes is presented, and despite their many challenges, some of these methods are better grounded in or motivated by the principles of algorithmic information. The authors propose that the field can make greater contributions to science, causation, scientific discovery, networks, and cognition, to mention a few among many fields, instead of remaining either as a technical curiosity of mathematical interest only or as a statistical tool when collapsed into an application of popular lossless compression algorithms. This book goes, thus, beyond popular statistical lossless compression and introduces a different methodological approach to dealing with algorithmic complexity. For example, graph theory and network science are classic subjects in mathematics widely investigated in the twentieth century, transforming research in many fields of science from economy to medicine. However, it has become increasingly clear that the challenge of analyzing these networks cannot be addressed by tools relying solely on statistical methods. Therefore, model-driven approaches are needed. Recent advances in network science suggest that algorithmic information theory could play an increasingly important role in breaking those limits imposed by traditional statistical analysis (entropy or statistical compression) in modeling evolving complex networks or interacting networks. Further progress on this front calls for new techniques for an improved mechanistic understanding of complex systems, thereby calling out for increased interaction between systems science, network theory, and algorithmic information theory, to which this book contributes.
Information And The History Of Philosophy
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Author : Chris Meyns
language : en
Publisher: Routledge
Release Date : 2021-06-17
Information And The History Of Philosophy written by Chris Meyns and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-17 with Language Arts & Disciplines categories.
In recent years the philosophy of information has emerged as an important area of research in philosophy. However, until now information’s philosophical history has been largely overlooked. Information and the History of Philosophy is the first comprehensive investigation of the history of philosophical questions around information, including work from before the Common Era to the twenty-first century. It covers scientific and technology-centred notions of information, views of human information processing, as well as socio-political topics such as the control and use of information in societies. Organised into five parts, 19 chapters by an international team of contributors cover the following topics and more: Information before 500 CE, including ancient Chinese, Greek and Roman approaches to information; Early theories of information processing, sources of information and cognition; Information and computation in Leibniz, visualised scientific information, copyright and social reform; The nineteenth century, including biological information, knowledge economies and information’s role in empire and eugenics; Recent and contemporary philosophy of information, including racialised information, Shannon information and the very idea of an information revolution. Information and the History of Philosophy is a landmark publication in this emerging field. As such, it is essential reading for students and researchers in the history of philosophy, philosophy of science and technology, and library and information studies. It is also a valuable resource for those working in subjects such as the history of science, media and communication studies and intellectual history.
Concept And Formalization Of Constellatory Self Unfolding
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Author : Albrecht von Müller
language : en
Publisher: Springer
Release Date : 2018-05-29
Concept And Formalization Of Constellatory Self Unfolding written by Albrecht von Müller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-29 with Science categories.
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 and geometric 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.
Qualitative Computing A Computational Journey Into Nonlinearity
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Author : Francoise Chatelin
language : en
Publisher: World Scientific
Release Date : 2012-06-15
Qualitative Computing A Computational Journey Into Nonlinearity written by Francoise Chatelin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-15 with Mathematics categories.
High technology industries are in desperate need for adequate tools to assess the validity of simulations produced by ever faster computers for perennial unstable problems. In order to meet these industrial expectations, applied mathematicians are facing a formidable challenge summarized by these words — nonlinearity and coupling. This book is unique as it proposes truly original solutions: (1) Using hypercomputation in quadratic algebras, as opposed to the traditional use of linear vector spaces in the 20th century; (2) complementing the classical linear logic by the complex logic which expresses the creative potential of the complex plane.The book illustrates how qualitative computing has been the driving force behind the evolution of mathematics since Pythagoras presented the first incompleteness result about the irrationality of √2. The celebrated results of Gödel and Turing are but modern versions of the same idea: the classical logic of Aristotle is too limited to capture the dynamics of nonlinear computation. Mathematics provides us with the missing tool, the organic logic, which is aptly tailored to model the dynamics of nonlinearity. This logic will be the core of the “Mathematics for Life” to be developed during this century.
Unconventional Computing Arts Philosophy
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Author : Andrew Adamatzky
language : en
Publisher: World Scientific
Release Date : 2022-10-04
Unconventional Computing Arts Philosophy written by Andrew Adamatzky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-04 with Computers categories.
The unique compendium re-assesses the value of future and emergent computing technologies via artistic and philosophical means. The book encourages scientists to adopt inspiring thinking of artists and philosophers to reuse scientific concepts in their works.The useful reference text consists of non-typical topics, where artistic and philosophical concepts encourage readers to adopt unconventional approaches towards computing and immerse themselves into discoveries of future emerging landscape.Related Link(s)