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Author: John W. Schutz
Publisher:
ISBN:
Category : Axiomatic set theory
Languages : en
Pages : 10
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Book Description
Author: John W. Schutz
Publisher:
ISBN:
Category : Axiomatic set theory
Languages : en
Pages : 10
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Book Description
Author: J. W. Schutz
Publisher: Springer
ISBN: 3540379061
Category : Mathematics
Languages : en
Pages : 334
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Book Description
The aim of this monograph is to give an axiomatic development of Einstein's theory of special relativity from axioms which describe intuitive concepts concerning the kinematic behavior of inertial particles and light signals.
Author: John W Schutz
Publisher: CRC Press
ISBN: 9780582317604
Category : Science
Languages : en
Pages : 260
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Book Description
The primary aim of this monograph is to clarify the undefined primitive concepts and the axioms which form the basis of Einstein's theory of special relativity. Minkowski space-time is developed from a set of independent axioms, stated in terms of a single relation of betweenness. It is shown that all models are isomorphic to the usual coordinate model, and the axioms are consistent relative to the reals.
Author: Ulrich Majer
Publisher: Springer Science & Business Media
ISBN: 9401728720
Category : Science
Languages : en
Pages : 165
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Book Description
REFLECTIONS ON SPACETIME - FOUNDATIONS, PHILOSOPHY AND HISTORY During the academic year 1992/93, an interdisciplinary research group constituted itself at the Zentrum fUr interdisziplinare Forschung (ZiF) in Bielefeld, Germany, under the title 'Semantical Aspects of Spacetime Theories', in which philosophers and physicists worked on topics in the interpretation and history of relativity theory. The present issue consists of contributions resulting from material presented and discussed in the group during the course of that year. The scope of the papers ranges from rather specialised issues arising from general relativity such as the problem of referential indeterminacy, to foundational questions regarding spacetime in the work of Carnap, Weyl and Hilbert. It is well known that the General Theory of Relativity (GTR) admits spacetime models which are 'exotic' in the sense that observers could travel into their own past. This poses a number of problems for the physical interpretation of GTR which are also relevant in the philosophy of spacetime. It is not enough to exclude these exotic models simply by stating that we live in a non-exotic universe, because it might be possible to "operate time machines" by actively changing the topology of the future part of spacetime. In his contribution, Earman first reviews the attempts of physicists to prove "chronology protection theorems" (CPTs) which exclude the operation of time machines under reasonable assumptions.
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.
Author: Ulrich Majer
Publisher:
ISBN:
Category : Relativity (Physics)
Languages : en
Pages : 276
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Book Description
Author: Lawrence Krader
Publisher: Peter Lang
ISBN: 9781433107627
Category : Empiricism
Languages : en
Pages : 706
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Book Description
Noetics is Lawrence Krader's magnum opus, which he began while still an undergraduate philosophy major at the City College of New York in the 1930s. By examining the architectonics of some of the greatest thinkers in history - Aristotle, Plato, Descartes, Leibniz, Spinoza, Kant, Hegel, and Husserl among others - as works of art combining myth, speculation and empirical science, Krader tackles one of the central problems of the philosophy of science: what is science and how does it relate to human thinking and knowing more generally. Building on his theories concerning the different orders of nature adumbrated in his Labor and Value (2003), he follows not only the lines of development of the three fields of science corresponding to three orders of nature (material, quantum, and human) but also examines the development of all three as human processes and products. Krader takes up the relations of thinking and knowing in conjunction with emotions, feelings and judgment and examines the processes of abstraction as one of the key and unique features of human being and knowing. He proposes noetics as a science of thinking and knowing and establishes its relation to the natural sciences, the human sciences, and the arts. The breadth and depth of Krader's scholarship is stunning and evokes Spinoza's thought that «all things excellent are as difficult as they are rare.»
Author: Gregory L. Naber
Publisher: Cambridge University Press
ISBN: 9780521336123
Category : Mathematics
Languages : en
Pages : 196
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Book Description
An elementary introduction to the geometrical methods and notions used in special and general relativity. Emphasizes the ideas concerned with structure of space-time that play a role in Penrose-Hawking singularity theorems.
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.
Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 0486453154
Category : Mathematics
Languages : en
Pages : 514
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Book Description
All of the sciences―physical, biological, and social―have a need for quantitative measurement. This influential series, Foundations of Measurement, established the formal foundations for measurement, justifying the assignment of numbers to objects in terms of their structural correspondence. Volume I introduces the distinct mathematical results that serve to formulate numerical representations of qualitative structures. Volume II extends the subject in the direction of geometrical, threshold, and probabilistic representations, and Volume III examines representation as expressed in axiomatization and invariance.
