Download or read book Space Time and the Limits of Human Understanding written by Shyam Wuppuluri and published by Springer. This book was released on 2016-12-01 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this compendium of essays, some of the world’s leading thinkers discuss their conceptions of space and time, as viewed through the lens of their own discipline. With an epilogue on the limits of human understanding, this volume hosts contributions from six or more diverse fields. It presumes only rudimentary background knowledge on the part of the reader. Time and again, through the prism of intellect, humans have tried to diffract reality into various distinct, yet seamless, atomic, yet holistic, independent, yet interrelated disciplines and have attempted to study it contextually. Philosophers debate the paradoxes, or engage in meditations, dialogues and reflections on the content and nature of space and time. Physicists, too, have been trying to mold space and time to fit their notions concerning micro- and macro-worlds. Mathematicians focus on the abstract aspects of space, time and measurement. While cognitive scientists ponder over the perceptual and experiential facets of our consciousness of space and time, computer scientists theoretically and practically try to optimize the space-time complexities in storing and retrieving data/information. The list is never-ending. Linguists, logicians, artists, evolutionary biologists, geographers etc., all are trying to weave a web of understanding around the same duo. However, our endeavour into a world of such endless imagination is restrained by intellectual dilemmas such as: Can humans comprehend everything? Are there any limits? Can finite thought fathom infinity? We have sought far and wide among the best minds to furnish articles that provide an overview of the above topics. We hope that, through this journey, a symphony of patterns and tapestry of intuitions will emerge, providing the reader with insights into the questions: What is Space? What is Time? Chapter [15] of this book is available open access under a CC BY 4.0 license.

Download or read book Differential Sheaves And Connections A Natural Approach To Physical Geometry written by Anastasios Mallios and published by World Scientific. This book was released on 2015-09-17 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to 'physical geometry'. In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums.

Download or read book Creative Complex Systems written by Kazuo Nishimura and published by Springer Nature. This book was released on 2021-10-26 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, problems such as environmental and economic crises and pandemics caused by new viruses have been occurring on a global scale. Globalization brings about benefits, but it can increase the potential risks of “systemic problems”, leading to system-wide disruptions. The coronavirus pandemic, declared on March 11, 2020, by the World Health Organization, has revealed social disparities in the form of a higher risk of death for people of low-socioeconomic status and has caused massive destruction of the economy and of globalization itself. Extensive efforts to cope with these challenges have often led to the emergence of additional problems due to the chain of hidden causation. What can be done to protect against such emerging challenges? Despite the resulting complexity, once these individual problems are considered as different aspects of a single whole, seemingly contradictory issues can become totally understandable, as they can be integrated into a single coherent framework. This is the integrationist approach in contrast to the reductionist approach. Situations of this kind are truly relevant to understanding the question, “What are creative complex systems?” This book features contributions by members and colleagues of the Kyoto University International Research Unit of Integrated Complex System Science. It broadens our outlook from the traditional view of stability, in which global situations are eventually stabilized after the impact of destruction, to “creative” complex systems.

Download or read book A First Course in Topos Quantum Theory written by Cecilia Flori and published by Springer. This book was released on 2013-03-27 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last five decades various attempts to formulate theories of quantum gravity have been made, but none has fully succeeded in becoming the quantum theory of gravity. One possible explanation for this failure might be the unresolved fundamental issues in quantum theory as it stands now. Indeed, most approaches to quantum gravity adopt standard quantum theory as their starting point, with the hope that the theory’s unresolved issues will get solved along the way. However, these fundamental issues may need to be solved before attempting to define a quantum theory of gravity. The present text adopts this point of view, addressing the following basic questions: What are the main conceptual issues in quantum theory? How can these issues be solved within a new theoretical framework of quantum theory? A possible way to overcome critical issues in present-day quantum physics – such as a priori assumptions about space and time that are not compatible with a theory of quantum gravity, and the impossibility of talking about systems without reference to an external observer – is through a reformulation of quantum theory in terms of a different mathematical framework called topos theory. This course-tested primer sets out to explain to graduate students and newcomers to the field alike, the reasons for choosing topos theory to resolve the above-mentioned issues and how it brings quantum physics back to looking more like a “neo-realist” classical physics theory again.

Download or read book Digital Timescapes written by Rob Kitchin and published by John Wiley & Sons. This book was released on 2023-01-16 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital technologies are having a profound effect on the temporalities of individuals, households and organisations. We now expect to be able to instantly source a vast array of information at any time and from anywhere, as well as buy goods with the click of a button and have them delivered within hours, while time management apps and locative media have altered how everyday scheduling and mobility unfolds. Digital Timescapes makes the case that we have transitioned to an era where the production and experience of time is qualitatively different to the pre-digital era. Rob Kitchin provides a synoptic account of this transition, charting how digital technologies, in a wide range of manifestations, are reconfiguring everyday temporalities. Attention is focused on the temporalities associated with six sets of everyday practices: history and memory; politics and policy; governance and governmentality; mobility and logistics; planning and development; and work and labour. Critically, how to challenge and reorder digitally mediated temporal power is examined through the development of an ethics of temporal care and temporal justice. Conceptually and empirically rich, Digital Timescapes is an essential guide to our new temporal regime. It will be of interest to students and scholars of Media Studies, Science and Technology Studies, Sociology, Anthropology, Human Geography, and History and Memory Studies, as well as those who are interested in how digital technologies are transforming society.

Download or read book Coding Dimensions and the Power of Finite Element Volume and Difference Methods written by Hamad, Abdulsattar Abdullah and published by IGI Global. This book was released on 2024-07-26 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers, researchers, and students attempting to effectively utilize numerical methods to solve complex engineering problems in today's fast-paced technological world are increasingly struggling to keep up without the necessary tools. While theoretical knowledge is vital, it can feel disconnected from practical application, leaving many ill-equipped to tackle real-world challenges. Coding Dimensions and the Power of Finite Element, Volume, and Difference Methods offers a comprehensive understanding and hands-on experience with numerical methods, empowering you to push the boundaries of innovation. By providing practical examples of coding and real-world applications, you will be equipped with the skills to tackle dynamic systems, partial and ordinary differential equations, and other mathematical simulations confidently.

Download or read book Quain s Elements of Anatomy written by Jones Quain and published by . This book was released on 1900 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quain s Elements of Anatomy pt 4 Splanchnology written by Jones Quain and published by . This book was released on 1893 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Differential Equations Theory Numerics and Applications written by E. van Groesen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the ICDE'96 held in Bandung, Indonesia

Download or read book Sketches of an Elephant A Topos Theory Compendium written by P. T. Johnstone and published by Oxford University Press. This book was released on 2002-09-12 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from the interplay of ideas drawn from these different areas. Because of this, an account of topos theory which approaches the subject from one particular direction can only hope to give a partial picture; the aim of this compendium is to present as comprehensive an account as possible of all the main approaches and to thereby demonstrate the overall unity of the subject. The material is organized in such a way that readers interested in following a particular line of approach may do so by starting at an appropriate point in the text.

Download or read book Temporal Type Theory written by Patrick Schultz and published by Springer. This book was released on 2019-01-29 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative monograph explores a new mathematical formalism in higher-order temporal logic for proving properties about the behavior of systems. Developed by the authors, the goal of this novel approach is to explain what occurs when multiple, distinct system components interact by using a category-theoretic description of behavior types based on sheaves. The authors demonstrate how to analyze the behaviors of elements in continuous and discrete dynamical systems so that each can be translated and compared to one another. Their temporal logic is also flexible enough that it can serve as a framework for other logics that work with similar models. The book begins with a discussion of behavior types, interval domains, and translation invariance, which serves as the groundwork for temporal type theory. From there, the authors lay out the logical preliminaries they need for their temporal modalities and explain the soundness of those logical semantics. These results are then applied to hybrid dynamical systems, differential equations, and labeled transition systems. A case study involving aircraft separation within the National Airspace System is provided to illustrate temporal type theory in action. Researchers in computer science, logic, and mathematics interested in topos-theoretic and category-theory-friendly approaches to system behavior will find this monograph to be an important resource. It can also serve as a supplemental text for a specialized graduate topics course.

Download or read book Elements of Temporal Topos written by Goro C. Kato and published by Abramis. This book was released on 2013-05 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are several approaches to quantum gravity. The most well known approach is string theory (M-theory), followed by loop quantum gravity. Temporal topos (t-topos) is an application of a modified topos over a category with a Grothendieck topology. We give explicit formulations in terms of t-topos for characteristic microcosmic phenomena such as wave-particle duality, uncertainty principle, and quantum entanglement. In order to claim that t-topos theory is leading to quantum gravity with the same mathematical model, i.e., t-topos, we need to formulate also relativistic notions as a light cone, gravitational effect by mass, black hole, and big bang. The main devises of t-topos as a unifying theory of microcosm and macrocosm are the notions of a (micro) decomposition of a presheaf and a (micro) factorization of a morphism of a t-site. Before the chapter on t-topos, we provide the necessary mathematical background from categories, sheaves, cohomologies, and D-modules, which can be useful to study the connections to twister covering cohomology, abstract differential geometry, and p-adic string theory. About the author Goro C. Kato is a professor of mathematics at California Polytechnic State University, San Luis Obispo, C. A, and the author of research monographs in algebraic geometry (cohomological algebra & p-adic cohomology) The Heart of Cohomology, published by Springer, Kohomoloji No Kokoro (in Japanese), published by Iwanami-Shoten, and in algebraic analysis (D-modules) Fundamentals of Algebraic Microlocal Analysis, (coauthor: Daniele Struppa), published by Taylor-Francis. Goro C. Kato belongs to the Association of the Members of the Institute for Advanced Study, Princeton, N. J.

Download or read book Quain s Elements of Anatomy pt 1 The spinal cord and brain written by Jones Quain and published by . This book was released on 1895 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book From Brain Dynamics to the Mind written by Georg Northoff and published by Elsevier. This book was released on 2024-04-01 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Brain Dynamics to the Mind: Spatiotemporal Neuroscience explores how the self and consciousness is related to neural events. Sections in the book cover existing models used to describe the mind/brain problem, recent research on brain mechanisms and processes and what they tell us about the self, consciousness and psychiatric disorders. The book presents a spatiotemporal approach to understanding the brain and the implications for artificial intelligence, novel therapies for psychiatric disorders, and for ethical, societal and philosophical issues. Pulling concepts from neuroscience, psychology and philosophy, the book presents a modern and complete look at what we know, what we can surmise, and what we may never know about the distinction between brain and mind. - Reviews models of understanding the mind/brain problem - Identifies neural processes involved in consciousness, sense of self and brain function - Includes concepts and research from neuroscience, psychology, cognitive science and philosophy - Discusses implications for AI, novel therapies for psychiatric disorders and issues of ethics - Suggests experimental designs and data analyses for future research on the mind/brain issue

Download or read book Algebra Topology and Category Theory written by Alex Heller and published by Academic Press. This book was released on 2014-05-10 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, Topology, and Category Theory: A Collection of Papers in Honor of Samuel Eilenberg is a collection of papers dealing with algebra, topology, and category theory in honor of Samuel Eilenberg. Topics covered range from large modules over artin algebras to two-dimensional Poincaré duality groups, along with the homology of certain H-spaces as group ring objects. Variable quantities and variable structures in topoi are also discussed. Comprised of 16 chapters, this book begins by looking at the relationship between the representation theories of finitely generated and large (not finitely generated) modules over an artin algebra. The reader is then introduced to reduced bar constructions on deRham complexes; some properties of two-dimensional Poincaré duality groups; and properties invariant within equivalence types of categories. Subsequent chapters explore the work of Samuel Eilenberg in topology; local complexity of finite semigroups; global dimension of ore extensions; and the spectrum of a ringed topos. This monograph will be a useful resource for students and practitioners of algebra and mathematics.

Download or read book The Struggle with Time 2nd edition written by Kari Palonen and published by LIT Verlag Münster. This book was released on 2006 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The author presents in this volume a synthesis of his long-term studies on the conceptual history of politics. He offers a rhetorical history of the horizons of conceptualizing politics an activity in terms of nine topoi: irregularity, judgment, policy, deliberation, commitment, contestation, possibility, situation and play & game. He both constructs a schema for conceptualization of the spectrum of activities that are called politics and applies it to British, French and German debates on the concept since the nineteenth century."--BOOK JACKET.

Download or read book Singular Coverings of Toposes written by Marta Bunge and published by . This book was released on 2006-08-21 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a self-contained theory of certain singular coverings of toposes, including branched coverings. This book is distinguished from classical treatments of the subject by its unexpected connection with a topic from functional analysis, namely, distributions. Although primarily aimed at topos theorists, this book may also be used as a textbook for advanced graduate courses introducing topos theory with an emphasis on geometric applications.