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Author: John Anderson Publisher: Sydney University Press ISBN: 192089862X Category : Business & Economics Languages : en Pages : 317
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.
Author: John Anderson Publisher: Sydney University Press ISBN: 192089862X Category : Business & Economics Languages : en Pages : 317
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.
Author: Thomas C. Vinci Publisher: ISBN: 019938116X Category : Philosophy Languages : en Pages : 265
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.
Author: Vesselin Petkov Publisher: Springer Science & Business Media ISBN: 3642135382 Category : Science Languages : en Pages : 316
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.
Author: Barry Dainton Publisher: McGill-Queen's Press - MQUP ISBN: 9780773523067 Category : Philosophy Languages : en Pages : 406
Book Description
Is the passage of time a basic feature of reality or merely illusory? How can the present move? Is the past real, or only the present? If the present is durationless, have we any reason to think that our now is the interface between past and future? Is space just nothingness, or is it an entity in its own right? Is there a spatial structure independent of things in space? Are objects separated by spatial relations, although space doesn't exist?
Author: Elizabeth Brannon Publisher: Academic Press ISBN: 0123859484 Category : Mathematics Languages : en Pages : 375
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
Author: Fabio Cardone Publisher: Springer Science & Business Media ISBN: 1402062834 Category : Science Languages : en Pages : 499
Book Description
This volume provides a detailed discussion of the mathematical aspects and physical applications of a new geometrical structure of space-time, based on a generalization ("deformation") of the usual Minkowski space, as supposed to be endowed with a metric whose coefficients depend on the energy. This new five-dimensional scheme (Deformed Relativity in Five Dimensions, DR5) represents a true generalization of the usual Kaluza-Klein (KK) formalism.
Author: Andrew Zimmerman Jones Publisher: John Wiley & Sons ISBN: 047046724X Category : Science Languages : en Pages : 387
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.
Author: Lawrence Sklar Publisher: Univ of California Press ISBN: 9780520031746 Category : Philosophy Languages : en Pages : 444
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.
Author: C.T. Dodson Publisher: Springer Science & Business Media ISBN: 9401577765 Category : Mathematics Languages : en Pages : 257
Book Description
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.
Author: John Anderson
Author: John Anderson
Author: Thomas C. Vinci
Author: Vesselin Petkov
Author: Barry Dainton
Author: Elizabeth Brannon
Author: Fabio Cardone
Author: Andrew Zimmerman Jones
Author: Lawrence Sklar
Author: Alain Connes
Author: C.T. Dodson