Space Time And The Categories
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Space Time And Spacetime
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Author : Vesselin Petkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-02
Space Time And Spacetime written by Vesselin Petkov 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 2010-09-02 with Science categories.
Dedicated to the centennial anniversary of Minkowski's discovery of spacetime, this volume contains papers, most presented at the Third International Conference on the Nature and Ontology of Spacetime, that address some of the deepest questions in physics.
Categories Bundles And Spacetime Topology
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Author : C.T. Dodson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Categories Bundles And Spacetime Topology written by C.T. Dodson 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 2013-03-09 with Mathematics categories.
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Gad in Crane Feathers' in R. Brown'The point of a Pin'. van Gulik's TheChinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging SUbdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Space Time And Spacetime
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Author : Lawrence Sklar
language : en
Publisher: Univ of California Press
Release Date : 2023-07-28
Space Time And Spacetime written by Lawrence Sklar and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-28 with Philosophy categories.
In this book, Lawrence Sklar demonstrates the interdependence of science and philosophy by examining a number of crucial problems on the nature of space and time—problems that require for their resolution the resources of philosophy and of physics. The overall issues explored are our knowledge of the geometry of the world, the existence of spacetime as an entity over and above the material objects of the world, the relation between temporal order and causal order, and the problem of the direction of time. Without neglecting the most subtle philosophical points or the most advanced contributions of contemporary physics, the author has taken pains to make his explorations intelligible to the reader with no advanced training in physics, mathematics, or philosophy. The arguments are set forth step-by-step, beginning from first principles; and the philosophical discussions are supplemented in detail by nontechnical expositions of crucial features of physical theories. In this book, Lawrence Sklar demonstrates the interdependence of science and philosophy by examining a number of crucial problems on the nature of space and time—problems that require for their resolution the resources of philosophy and of physics. “/DIV
Space Geometry And Kant S Transcendental Deduction Of The Categories
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Author : Thomas C. Vinci
language : en
Publisher:
Release Date : 2015
Space Geometry And Kant S Transcendental Deduction Of The Categories written by Thomas C. Vinci and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Philosophy categories.
Thomas C. Vinci aims to reveal and assess the structure of Kant's argument in the Critique of Pure Reason called the "Transcendental Deduction of the Categories." At the end of the first part of the Deduction in the B-edition Kant states that his purpose is achieved: to show that all intuitions in general are subject to the categories. On the standard reading, this means that all of our mental representations, including those originating in sense-experience, are structured by conceptualization. But this reading encounters an exegetical problem: Kant states in the second part of the Deduction that a major part of what remains to be shown is that empirical intuitions are subject to the categories. How can this be if it has already been shown that intuitions in general are subject to the categories? Vinci calls this the Triviality Problem, and he argues that solving it requires denying the standard reading. In its place he proposes that intuitions in general and empirical intuitions constitute disjoint classes and that, while all intuitions for Kant are unified, there are two kinds of unification: logical unification vs. aesthetic unification. Only the former is due to the categories. A second major theme of the book is that Kant's Idealism comes in two versions-for laws of nature and for objects of empirical intuition-and that demonstrating these versions is the ultimate goal of the Deduction of the Categories and the similarly structured Deduction of the Concepts of Space, respectively. Vinci shows that the Deductions have the argument structure of an inference to the best explanation for correlated domains of explananda, each arrived at by independent applications of Kantian epistemic and geometrical methods.
Beyond Spacetime
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Author : Nick Huggett
language : en
Publisher: Cambridge University Press
Release Date : 2020-05-14
Beyond Spacetime written by Nick Huggett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-14 with Philosophy categories.
A collection of essays discussing the philosophy and foundations of quantum gravity. Written by leading philosophers and physicists in the field, chapters cover the important conceptual questions in the search for a quantum theory of gravity, and the current state of understanding among philosophers and physicists.
The Large Scale Structure Of Space Time
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Author : S. W. Hawking
language : en
Publisher: Cambridge University Press
Release Date : 1975-02-27
The Large Scale Structure Of Space Time written by S. W. Hawking and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-02-27 with Science categories.
Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.
Categories For The Working Philosopher
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Author : Elaine Landry
language : en
Publisher: Oxford University Press
Release Date : 2017-11-17
Categories For The Working Philosopher written by Elaine Landry and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-17 with Philosophy categories.
Often people have wondered why there is no introductory text on category theory aimed at philosophers working in related areas. The answer is simple: what makes categories interesting and significant is their specific use for specific purposes. These uses and purposes, however, vary over many areas, both "pure", e.g., mathematical, foundational and logical, and "applied", e.g., applied to physics, biology and the nature and structure of mathematical models. Borrowing from the title of Saunders Mac Lane's seminal work "Categories for the Working Mathematician", this book aims to bring the concepts of category theory to philosophers working in areas ranging from mathematics to proof theory to computer science to ontology, from to physics to biology to cognition, from mathematical modeling to the structure of scientific theories to the structure of the world. Moreover, it aims to do this in a way that is accessible to non-specialists. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, and in a way that builds on the concepts that are already familiar to philosophers working in these areas.
Kant S Theory Of A Priori Knowledge
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Author : Robert Greenberg
language : en
Publisher: Penn State Press
Release Date : 2001-03-28
Kant S Theory Of A Priori Knowledge written by Robert Greenberg and has been published by Penn State Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-28 with Philosophy categories.
The prevailing interpretation of Kant’s First Critique in Anglo-American philosophy views his theory of a priori knowledge as basically a theory about the possibility of empirical knowledge (or experience), or the a priori conditions for that possibility (the representations of space and time and the categories). Instead, Robert Greenberg argues that Kant is more fundamentally concerned with the possibility of a priori knowledge—the very possibility of the possibility of empirical knowledge in the first place. Greenberg advances four central theses:(1) the Critique is primarily concerned about the possibility, or relation to objects, of a priori, not empirical knowledge, and Kant’s theory of that possibility is defensible; (2) Kant’s transcendental ontology must be distinct from the conditions of the possibility of a priori knowledge; (3) the functions of judgment, in Kant’s discussion of the Table of Judgments, should be seen according to his transcendental logic as having content, not as being just logical forms of judgment making; (4) Kant’s distinction between and connection of ordering relations (Verhaltnisse) and reference relations (Beziehungen) have to be kept in mind to avoid misunderstanding the Critique. At every step of the way Greenberg contrasts his view with the major interpretations of Kant by commentators like Henry Allison, Jonathan Bennett, Paul Guyer, and Peter Strawson. Not only does this new approach to Kant present a strong challenge to these dominant interpretations, but by being more true to Kant’s own intent it holds promise for making better sense out of what have been seen as the First Critique’s discordant themes.
Foundations Of Space Time Theories
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Author : Michael Friedman
language : en
Publisher: Princeton University Press
Release Date : 2014-07-14
Foundations Of Space Time Theories written by Michael Friedman and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Science categories.
This book, explores the conceptual foundations of Einstein's theory of relativity: the fascinating, yet tangled, web of philosophical, mathematical, and physical ideas that is the source of the theory's enduring philosophical interest. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Quanta Logic And Spacetime
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Author : Stephen Allan Selesnick
language : en
Publisher: World Scientific
Release Date : 2003
Quanta Logic And Spacetime written by Stephen Allan Selesnick and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
In this expanded edition of Quanta, Logic and Spacetime, the logical base is greatly broadened and quantum-computational aspects of the approach are brought to the fore. The first two parts of this edition may indeed be regarded as providing a self-contained and logic-based foundation for ? and an introduction to ? the enterprise known as quantum computing.The rest of the work takes on the task (as in the first edition) of computing from first principles certain dynamical expressions which turn out to compare favorably with the Lagrangian densities of the (massless) Standard Model, including gravity. The logic of this process is now subject to greater formal rigor than was possible in the first edition, and the central thesis ? that quantum physics at a fundamental level may itself be realized as a species of quantum computation ? is strongly underscored.