Space Time and the Categories

Space Time and the Categories PDF Author: John Anderson
Publisher: Sydney University Press
ISBN: 192089862X
Category : Business & Economics
Languages : en
Pages : 317

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Book Description
'With this scheme, John Anderson joins a very distinguished line of philosophers who have presented us with a set of categories. We have first Plato (the doctrine of Highest Kinds in his dialogue The Sophist), then Aristotle, Kant, Hegel, and Samuel Alexander.' - D. M. Armstrong, from the introduction. Space, Time and the Categories presents a unique record of personal influence and inspiration over three generations of philosophers in Australia, England and Scotland. This work is a vitally important text in the history of the development of realist philosophy in Australian universities. With an introduction by emeritus professor D.M. Armstrong whose own student notes are the basis for the text used, this book brings together three of the major figures in the history of Australian philosophy.

Space Time and the Categories

Space Time and the Categories PDF Author: John Anderson
Publisher: Sydney University Press
ISBN: 192089862X
Category : Business & Economics
Languages : en
Pages : 317

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Book Description
'With this scheme, John Anderson joins a very distinguished line of philosophers who have presented us with a set of categories. We have first Plato (the doctrine of Highest Kinds in his dialogue The Sophist), then Aristotle, Kant, Hegel, and Samuel Alexander.' - D. M. Armstrong, from the introduction. Space, Time and the Categories presents a unique record of personal influence and inspiration over three generations of philosophers in Australia, England and Scotland. This work is a vitally important text in the history of the development of realist philosophy in Australian universities. With an introduction by emeritus professor D.M. Armstrong whose own student notes are the basis for the text used, this book brings together three of the major figures in the history of Australian philosophy.

Space, Geometry, and Kant's Transcendental Deduction of the Categories

Space, Geometry, and Kant's Transcendental Deduction of the Categories PDF Author: Thomas C. Vinci
Publisher:
ISBN: 019938116X
Category : Philosophy
Languages : en
Pages : 265

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Book Description
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.

Space, Time, and Spacetime

Space, Time, and Spacetime PDF Author: Vesselin Petkov
Publisher: Springer Science & Business Media
ISBN: 3642135382
Category : Science
Languages : en
Pages : 316

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Book Description
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.

Space, Time, and Spacetime

Space, Time, and Spacetime PDF Author: Lawrence Sklar
Publisher: Univ of California Press
ISBN: 0520340701
Category : Philosophy
Languages : en
Pages : 438

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Book Description
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.

On Space and Time

On Space and Time PDF Author: Alain Connes
Publisher: Cambridge University Press
ISBN: 1107641683
Category : Science
Languages : en
Pages : 306

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Book Description
Gets to the heart of science by asking a fundamental question: what is the true nature of space and time?

Space, Time and Number in the Brain

Space, Time and Number in the Brain PDF Author: Elizabeth Brannon
Publisher: Academic Press
ISBN: 0123859484
Category : Mathematics
Languages : en
Pages : 375

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Book Description
The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields

String Theory For Dummies

String Theory For Dummies PDF Author: Andrew Zimmerman Jones
Publisher: John Wiley & Sons
ISBN: 047046724X
Category : Science
Languages : en
Pages : 387

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Book Description
A clear, plain-English guide to this complex scientific theory String theory is the hottest topic in physics right now, with books on the subject (pro and con) flying out of the stores. String Theory For Dummies offers an accessible introduction to this highly mathematical "theory of everything," which posits ten or more dimensions in an attempt to explain the basic nature of matter and energy. Written for both students and people interested in science, this guide explains concepts, discusses the string theory's hypotheses and predictions, and presents the math in an approachable manner. It features in-depth examples and an easy-to-understand style so that readers can understand this controversial, cutting-edge theory.

The Theory of Space, Time and Gravitation

The Theory of Space, Time and Gravitation PDF Author: V. Fock
Publisher: Elsevier
ISBN: 1483184900
Category : Science
Languages : en
Pages : 461

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Book Description
The Theory of Space, Time, and Gravitation, 2nd Revised Edition focuses on Relativity Theory and Einstein's Theory of Gravitation and correction of the misinterpretation of the Einsteinian Gravitation Theory. The book first offers information on the theory of relativity and the theory of relativity in tensor form. Discussions focus on comparison of distances and lengths in moving reference frames; comparison of time differences in moving reference frames; position of a body in space at a given instant in a fixed reference frame; and proof of the linearity of the transformation linking two inertial frames. The text then ponders on general tensor analysis, including permissible transformations for space and time coordinates, parallel transport of a vector, covariant differentiation, and basic properties of the curvature tensor. The publication examines the formulation of relativity theory in arbitrary coordinates and principles of the theory of gravitation. Topics include equations of mathematical physics in arbitrary coordinates; integral form of the conservation laws in arbitrary coordinates; variational principle and the energy tensor; and comparison with the statement of the problem in Newtonian theory. The manuscript is a dependable reference for readers interested in the theory of space, time, and gravitation.

Space, Time, Matter

Space, Time, Matter PDF Author: Hermann Weyl
Publisher:
ISBN:
Category : Relativity (Physics)
Languages : en
Pages : 380

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Book Description


The Geometry of Minkowski Spacetime

The Geometry of Minkowski Spacetime PDF Author: Gregory L. Naber
Publisher: Courier Corporation
ISBN: 9780486432359
Category : Mathematics
Languages : en
Pages : 276

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Book Description
This mathematically rigorous treatment examines Zeeman's characterization of the causal automorphisms of Minkowski spacetime and the Penrose theorem concerning the apparent shape of a relativistically moving sphere. Other topics include the construction of a geometric theory of the electromagnetic field; an in-depth introduction to the theory of spinors; and a classification of electromagnetic fields in both tensor and spinor form. Appendixes introduce a topology for Minkowski spacetime and discuss Dirac's famous "Scissors Problem." Appropriate for graduate-level courses, this text presumes only a knowledge of linear algebra and elementary point-set topology. 1992 edition. 43 figures.