Space, Time, and Theology in the Leibniz-Newton Controversy PDF Download
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Author: Edward J. Khamara
Publisher: Walter de Gruyter
ISBN: 3110328305
Category : Philosophy
Languages : en
Pages : 178
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Book Description
In the famous Correspondence with Clarke, which took place during the last year of Leibniz’s life, Leibniz advanced several arguments purporting to refute the absolute theory of space and time that was held by Newton and his followers. The main aim of this book is to reassess Leibniz’s attack on the Newtonian theory in so far as he relied on the principle of the identity of indiscernibles. The theological side of the controversy is not ignored but isolated and discussed in the last three chapters, which deal with problems connected with the notions of omnipotence and omniscience.
Author: Edward J. Khamara
Publisher: Walter de Gruyter
ISBN: 3110328305
Category : Philosophy
Languages : en
Pages : 178
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Book Description
In the famous Correspondence with Clarke, which took place during the last year of Leibniz’s life, Leibniz advanced several arguments purporting to refute the absolute theory of space and time that was held by Newton and his followers. The main aim of this book is to reassess Leibniz’s attack on the Newtonian theory in so far as he relied on the principle of the identity of indiscernibles. The theological side of the controversy is not ignored but isolated and discussed in the last three chapters, which deal with problems connected with the notions of omnipotence and omniscience.
Author: Anders Björn
Publisher: European Mathematical Society
ISBN: 9783037190999
Category : Mathematics
Languages : en
Pages : 422
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Book Description
The $p$-Laplace equation is the main prototype for nonlinear elliptic problems and forms a basis for various applications, such as injection moulding of plastics, nonlinear elasticity theory, and image processing. Its solutions, called p-harmonic functions, have been studied in various contexts since the 1960s, first on Euclidean spaces and later on Riemannian manifolds, graphs, and Heisenberg groups. Nonlinear potential theory of p-harmonic functions on metric spaces has been developing since the 1990s and generalizes and unites these earlier theories. This monograph gives a unified treatment of the subject and covers most of the available results in the field, so far scattered over a large number of research papers. The aim is to serve both as an introduction to the area for interested readers and as a reference text for active researchers. The presentation is rather self contained, but it is assumed that readers know measure theory and functional analysis. The first half of the book deals with Sobolev type spaces, so-called Newtonian spaces, based on upper gradients on general metric spaces. In the second half, these spaces are used to study p-harmonic functions on metric spaces, and a nonlinear potential theory is developed under some additional, but natural, assumptions on the underlying metric space. Each chapter contains historical notes with relevant references, and an extensive index is provided at the end of the book.
Author: Vladimir Maz'ya
Publisher: Springer Science & Business Media
ISBN: 038785648X
Category : Mathematics
Languages : en
Pages : 395
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Book Description
This volume mark’s the centenary of the birth of the outstanding mathematician of the 20th century, Sergey Sobolev. It includes new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics.
Author: Joachim Schröter
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110484617
Category : Science
Languages : en
Pages : 154
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Book Description
In Minkowski-Space the space-time of special relativity is discussed on the basis of fundamental results of space-time theory. This idea has the consequence that the Minkowski-space can be characterized by 5 axioms, which determine its geometrical and kinematical structure completely. In this sense Minkowski-Space is a prolegomenon for the formulation of other branches of special relativity, like mechanics, electrodynamics, thermodynamics etc. But these applications are not subjects of this book. Contents Basic properties of special relativity Further properties of Lorentz matrices Further properties of Lorentz transformations Decomposition of Lorentz matrices and Lorentz transformations Further structures on Ms Tangent vectors in Ms Orientation Kinematics on Ms Some basic notions of relativistic theories
Author: Lawrence Sklar
Publisher: CRC Press
ISBN: 042997793X
Category : Science
Languages : en
Pages : 279
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Book Description
This book focuses on the most important questions of philosophy of physics, offering a sufficiently concise and clear treatment of the issues to lead the interested reader through the sometimes labyrinthian paths taken by the central debates.
Author: Hu Chang-Wei ( 胡昌伟 )
Publisher: Infinite Study
ISBN: 1599731878
Category :
Languages : en
Pages : 262
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Book Description
Author: Edward Slowik
Publisher: Springer
ISBN: 3319448684
Category : Science
Languages : en
Pages : 356
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Book Description
This volume explores the inadequacies of the two standard conceptions of space or spacetime, substantivalism and relationism, and in the process, proposes a new historical interpretation of these physical theories. This book also examines and develops alternative ontological conceptions of space, and explores additional historical elements of seventeenth century theories and other metaphysical themes. The author first discusses the two main opposing theories of the ontology of space. One, known as substantivalism, proposes space to be an entity that can exist independently of material things. The other, relationism, contends that space is a relation among material things. Readers will learn about specific problems with this dichotomy. First, Newton and Leibniz are often upheld as the retrospective forerunners of substantivalism and relationism. But, their work often contradicts the central tenets of these views. Second, these theories have proven problematic when transferred to a modern setting, especially with regards to general relativity and the recent quantum gravity hypotheses. The author details an alternative set of concepts that address these problems. The author also develops a new classificational system that provides a more accurate taxonomy for the elements of all spatial ontologies. This classification obtains successful analogies between Newton, Leibniz, and other natural philosophers with contemporary physical theories.
Author: Vesselin Petkov
Publisher: Springer Science & Business Media
ISBN: 1402063180
Category : Science
Languages : en
Pages : 283
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Book Description
The main focus of this volume is the question: is spacetime nothing more than a mathematical space (which describes the evolution in time of the ordinary three-dimensional world) or is it a mathematical model of a real four-dimensional world with time entirely given as the fourth dimension? The book contains fourteen invited papers which either directly address the main question of the nature of spacetime or explore issues related to it.
Author: Dimitrios Ntalampekos
Publisher: Springer Nature
ISBN: 3030508056
Category : Mathematics
Languages : en
Pages : 192
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Book Description
This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs from the classical approach of potential theory in metric spaces. The second part describes how this theory is utilized to prove a uniformization result for Sierpiński carpets. This book is intended for researchers in the fields of potential theory, quasiconformal geometry, geometric group theory, complex dynamics, geometric function theory and PDEs.
Author: John Earman
Publisher: U of Minnesota Press
ISBN: 0816657521
Category : Science
Languages : en
Pages : 482
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Book Description
Foundations of Space-Time Theories was first published in 1977. 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. The essays in this volume are based on the papers given at a conference on the philosophical aspects of the space-time theory held under the auspices of the Minnesota Center for Philosophy of Science.
