Geometry and Chronometry in Philosophical Perspective

Geometry and Chronometry in Philosophical Perspective PDF Author: Adolf Grünbaum
Publisher:
ISBN: 9780196807188
Category : Space and time
Languages : en
Pages : 378

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Book Description

Geometry and Chronometry in Philosophical Perspective

Geometry and Chronometry in Philosophical Perspective PDF Author: Adolf Grünbaum
Publisher:
ISBN: 9780196807188
Category : Space and time
Languages : en
Pages : 378

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Book Description


Geometry and Chronometry in Philosophical Perspective

Geometry and Chronometry in Philosophical Perspective PDF Author: Adolf Grunbaum
Publisher: U of Minnesota Press
ISBN: 0816604908
Category : Science
Languages : en
Pages : 394

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Book Description
Geometry and Chronometry in Philosophical Perspective was first published in 1968. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. In this volume Professor Grünbaum substantially extends and comments upon his essay "Geometry, Chronometry, and Empiricism," which was first published in Volume III of the Minnesota Studies in the Philosophy of Science. Commenting on the essay when it first appeared J. J. C. Smart wrote in Mind (England): "In my opinion Adolf Grünbaum's paper ... supersedes nearly all that has been written on the logical status of physical geometry and chronometry." The full text of the essay is given here with the author's extension of it and his discussion of some of the critical comment it has evoked, particularly, a critique published by Hilary Putnam. Adolph Grünbaum is Andrew Mellon Professor of Philosophy at the University of Pittsburgh and the current president of the Philosophy of Science Association.

Geometry and chronometry

Geometry and chronometry PDF Author: Adolf Grünbaum
Publisher:
ISBN: 9780783729534
Category : Mathematics
Languages : en
Pages : 0

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Book Description
In this volume Professor Grunbaum substantially extends and comments upon his essay "Geometry, Chronometry, and Empiricism," which was first published in Volume III of the Minnesota Studies in the Philosophy of Science. Commenting on the essay when it first appeared J. J. C. Smart wrote in Mind (England): "In my opinion Adolf Grunbaum's paper ... supersedes nearly all that has been written on the logical status of physical geometry and chronometry." The full text of the essay is given here with the author's extension of it and his discussion of some of the critical comment it has evoked, particularly, a critique published by Hilary Putnam. Adolph Grunbaum is Andrew Mellon Professor of Philosophy at the University of Pittsburgh and the current president of the Philosophy of Science Association.

Philosophy and Geometry

Philosophy and Geometry PDF Author: L. Magnani
Publisher: Springer Science & Business Media
ISBN: 9401096228
Category : Science
Languages : en
Pages : 284

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Book Description
Philosophers have studied geometry since ancient times. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge. Lorenzo Magnani's new book Philosophy and Geometry illustrates the rich intrigue of this fascinating story of human knowledge, providing a new analysis of the ideas of many scholars (including Plato, Proclus, Kant, and Poincaré), and discussing conventionalist and neopositivist perspectives and the problem of the origins of geometry. The book also ties together the concerns of philosophers of science and cognitive scientists, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are dealt with using a novel combination of both historical and contemporary perspectives. Philosophy and Geometry is a valuable contribution to the renaissance of research in the field.

Relativity and Geometry

Relativity and Geometry PDF Author: Roberto Torretti
Publisher: Elsevier
ISBN: 1483147371
Category : Science
Languages : en
Pages : 409

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Book Description
Relativity and Geometry aims to elucidate the motivation and significance of the changes in physical geometry brought about by Einstein, in both the first and the second phases of relativity. The book contains seven chapters and a mathematical appendix. The first two chapters review a historical background of relativity. Chapter 3 centers on Einstein's first Relativity paper of 1905. Subsequent chapter presents the Minkowskian formulation of special relativity. Chapters 5 and 6 deal with Einstein's search for general relativity from 1907 to 1915, as well as some aspects and subsequent developments of the theory. The last chapter explores the concept of simultaneity, geometric conventionalism, and a few other questions concerning space time structure, causality, and time.

Space, Time and Geometry

Space, Time and Geometry PDF Author: Patrick Suppes
Publisher: Springer Science & Business Media
ISBN: 9401026866
Category : Science
Languages : en
Pages : 437

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Book Description
The articles in this volume have been stimulated in two different ways. More than two years ago the editor of Synthese, laakko Hintikka, an nounced a special issue devoted to space and time, and articles were solicited. Part of the reason for that announcement was also the second source of papers. Several years ago I gave a seminar on special relativity at Stanford, and the papers by Domotor, Harrison, Hudgin, Latzer and myself partially arose out of discussion in that seminar. All of the papers except those of Griinbaum, Fine, the second paper of Friedman, and the paper of Adams appeared in a special double issue of Synthese (24 (1972), Nos. 1-2). I am pleased to have been able to add the four additional papers mentioned in making the special issue a volume in the Synthese Library. Of these four additional articles, only the one by Fine has pre viously appeared in print (Synthese 22 (1971), 448-481); its relevance to the present volume is apparent. In preparing the papers for publication and in carrying out the various editonal chores of such a task, I am very much indebted to Mrs. Lillian O'Toole for her extensive assistance. INTRODUCTION The philosophy of space and time has been of permanent importance in philosophy, and most of the major historical figures in philosophy, such as Aristotle, Descartes and Kant, have had a good deal to say about the nature of space and time.

Relativity: The Theory and Its Philosophy

Relativity: The Theory and Its Philosophy PDF Author: Roger B. Angel
Publisher: Elsevier
ISBN: 1483150038
Category : Science
Languages : en
Pages : 272

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Book Description
Relativity: The Theory and its Philosophy provides a completely self-contained treatment of the philosophical foundations of the theory of relativity. It also surveys the most essential mathematical techniques and concepts that are indispensable to an understanding of the foundations of both the special and general theories of relativity. In short, the book includes a crash course in applied mathematics, ranging from elementary trigonometry to the classical tensor calculus. Comprised of 11 chapters, this book begins with an introduction to fundamental mathematical concepts such as sets, relations, and functions; N-tuples, vectors, and matrices; and vector algebra and calculus. The discussion then turns to the concept of relativity and elementary foundations of Newtonian mechanics, as well as the principle of special relativity and its interpretation by means of empiricism and rationalism. Subsequent chapters focus on the status of the doctrine of conventionalism in the theory of special relativity; the commensurability of classical and relativistic mechanics; mathematical foundations of special relativistic physics; and the classical or Newtonian theory of gravitation. The principle of general covariance and its relation to the principle of general relativity are also examined. The final chapter addresses the fundamental question as to the actual information concerning the structure of spacetime that is conveyed to us through the theory of general relativity. This monograph will be of interest to students, teachers, practitioners, and researchers in physics, mathematics, and philosophy.

Philosophical Problems of Space and Time

Philosophical Problems of Space and Time PDF Author: Adolf Grünbaum
Publisher: Springer Science & Business Media
ISBN: 940102622X
Category : Science
Languages : en
Pages : 903

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Book Description
It is ten years since Adolf Griinbaum published the first edition of this book. It was promptly recognized to be one of the few major works in the philosophy of the natural sciences of this generation. In part, this is so because Griinbaum has chosen a problem basic both to philosophy and to the natural sciences - the nature of space and time; and in part, this is so because he so admirably exemplifies that Aristotelian devotion to the intimate and mutual dependence of actual science and philosophical understanding. More than this, however, the quality of his work derives from his achievement in combining detail with scope. The problems of space and time have been among the most difficult in contemporary and classical thought, and Griinbaum has been responsible to the full depth and complexity of these difficulties. This revised and enlarged second edition is a work in progress, in the tradition of reflective analysis of modern science of such figures as Ehrenfest and Reichenbach. In publishing this work among the Boston Studies in the Philosophy of Science, we hope to contribute to and encourage that broad tradition of natural philosophy which is marked by the close collaboration of philoso phers and scientists. To this end, we have published the proceedings of our Colloquia, of meetings and conferences here and abroad, as well as the works of single authors.

Boston Studies in the Philosophy of Science

Boston Studies in the Philosophy of Science PDF Author: Robert S. Cohen
Publisher: Springer Science & Business Media
ISBN: 9401033811
Category : Science
Languages : en
Pages : 492

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Book Description
In this fifth volume of Boston Studies in the Philosophy of Science, we have gathered papers about the logic and methods of the natural sciences. Along with the individual pieces, there are several which have originated as commentaries but are now supplementary contributions: those by Stachel and Putnam. Grlinbaum's long essay developed from a paper first suggested for our Colloquium some years ago, and we are glad of the occasion to publish it here. Several of the papers were not first presented to our Colloquium but they are the work of friends and scholars who have contributed to our discussions along similar lines. We are grateful to them for allowing us to publish their papers: L Bernard Cohen, Hilary Putnam, Mihailo Markovic. And we are also grateful to C. F. von Weizsacker for his paper, recently presented to the Boston philosophical and scientific community as a lecture at M. LT. With these few exceptions, the fifth volume presents work which was partially supported by a grant from the U. S. National Science Foundation to Boston University. Such support will conclude with the fourth volume of philosophical studies of psychology, the social sciences, history, and the inter-relationships of the sciences with ethics and metaphysics. Unimportant circumstances made it necessary to publish that fourth volume after this fifth volume, and perhaps this will mildly suggest that neither science nor the philosophy of science needs to be constrained by orthodoxy of procedure.

Can Theories be Refuted?

Can Theories be Refuted? PDF Author: Sandra Harding
Publisher: Springer Science & Business Media
ISBN: 9401018634
Category : Science
Languages : en
Pages : 343

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Book Description
According to a view assumed by many scientists and philosophers of science and standardly found in science textbooks, it is controlled ex perience which provides the basis for distinguishing between acceptable and unacceptable theories in science: acceptable theories are those which can pass empirical tests. It has often been thought that a certain sort of test is particularly significant: 'crucial experiments' provide supporting empiri cal evidence for one theory while providing conclusive evidence against another. However, in 1906 Pierre Duhem argued that the falsification of a theory is necessarily ambiguous and therefore that there are no crucial experiments; one can never be sure that it is a given theory rather than auxiliary or background hypotheses which experiment has falsified. w. V. Quine has concurred in this judgment, arguing that "our statements about the external world face the tribunal of sense experience not indi vidually but only as a corporate body". Some philosophers have thought that the Duhem-Quine thesis gra tuitously raises perplexities. Others see it as doubly significant; these philosophers think that it provides a base for criticism of the foundational view of knowledge which has dominated much of western thought since Descartes, and they think that it opens the door to a new and fruitful way to conceive of scientific progress in particular and of the nature and growth of knowledge in general.