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Mechanistic Images in Geometric Form

Mechanistic Images in Geometric Form PDF Author: Jesper Lützen
Publisher: Oxford University Press on Demand
ISBN: 0198567375
Category : Mathematics
Languages : en
Pages : 333

Book Description
Moreover, the book presents an analysis of the genesis of many of the central elements of Hertz's mechanics based on his manuscripts and drafts."--Jacket.

Mechanistic Images in Geometric Form

Mechanistic Images in Geometric Form PDF Author: Jesper Lützen
Publisher: Oxford University Press on Demand
ISBN: 0198567375
Category : Mathematics
Languages : en
Pages : 333

Book Description
Moreover, the book presents an analysis of the genesis of many of the central elements of Hertz's mechanics based on his manuscripts and drafts."--Jacket.

Interactions

Interactions PDF Author: Vincent F. Hendricks
Publisher: Springer Science & Business Media
ISBN: 1402051956
Category : Philosophy
Languages : en
Pages : 345

Book Description
The main theme of this anthology is the unique interaction between mathematics, physics and philosophy during the beginning of the 20th century. In this book, ten renowned philosopher-historians probe insightfully into key conceptual questions of pre-quantum mathematical physics. The result is a diverse yet thematically focused compilation of first class papers on mathematics, physics and philosophy, and a source-book on the interaction between them.

Image and Reality

Image and Reality PDF Author: Alan J. Rocke
Publisher: University of Chicago Press
ISBN: 0226723356
Category : Science
Languages : en
Pages : 403

Book Description
Nineteenth-century chemists were faced with a particular problem: how to depict the atoms and molecules that are beyond the direct reach of our bodily senses. In visualizing this microworld, these scientists were the first to move beyond high-level philosophical speculations regarding the unseen. In Image and Reality, Alan Rocke focuses on the community of organic chemists in Germany to provide the basis for a fuller understanding of the nature of scientific creativity. Arguing that visual mental images regularly assisted many of these scientists in thinking through old problems and new possibilities, Rocke uses a variety of sources, including private correspondence, diagrams and illustrations, scientific papers, and public statements, to investigate their ability to not only imagine the invisibly tiny atoms and molecules upon which they operated daily, but to build detailed and empirically based pictures of how all of the atoms in complicated molecules were interconnected. These portrayals of “chemical structures,” both as mental images and as paper tools, gradually became an accepted part of science during these years and are now regarded as one of the central defining features of chemistry. In telling this fascinating story in a manner accessible to the lay reader, Rocke also suggests that imagistic thinking is often at the heart of creative thinking in all fields. Image and Reality is the first book in the Synthesis series, a series in the history of chemistry, broadly construed, edited by Angela N. H. Creager, John E. Lesch, Stuart W. Leslie, Lawrence M. Principe, Alan Rocke, E.C. Spary, and Audra J. Wolfe, in partnership with the Chemical Heritage Foundation.

A Companion to Wittgenstein

A Companion to Wittgenstein PDF Author: Hans-Johann Glock
Publisher: John Wiley & Sons
ISBN: 1118641167
Category : Philosophy
Languages : en
Pages : 805

Book Description
A COMPANION TO WITTGENSTEIN The most comprehensive survey of Wittgenstein’s thought yet compiled, this volume of fifty newly commissioned essays by leading interpreters of his philosophy is a keynote addition to the Blackwell Companions to Philosophy series. Full of penetrating insights into the life and work of the most important philosopher of the twentieth century, the collection explores the full range of Wittgenstein’s contribution to philosophy. It includes essays on his intellectual development, his work in logic and mathematics, philosophy of language, philosophy of mind and action, epistemology, ethics, philosophy of religion, and much else. As well as examining Wittgenstein’s contribution to human understanding in detail, the Companion features vital contextual analysis that traces the relationship between his ideas and those of other philosophers and schools of thought, including the Aristotelian and continental philosophical traditions. Authors also address prominent themes that remain current in today’s philosophical debates, explaining Wittgenstein’s continuing legacy alongside his historical significance. Essential reading for scholars of philosophy at all levels, A Companion to Wittgenstein combines engaging commentary with unrivaled academic authority.

Mastering the History of Pure and Applied Mathematics

Mastering the History of Pure and Applied Mathematics PDF Author: Toke Knudsen
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110769964
Category : History
Languages : en
Pages : 272

Book Description
The present collection of essays are published in honor of the distinguished historian of mathematics Professor Emeritus Jesper Lützen. In a career that spans more than four decades, Professor Lützen's scholarly contributions have enhanced our understanding of the history, development, and organization of mathematics. The essays cover a broad range of areas connected to Professor Lützen's work. In addition to this noteworthy scholarship, Professor Lützen has always been an exemplary colleague, providing support to peers as well as new faculty and graduate students. We dedicate this Festschrift to Professor Lützen—as a scholarly role model, mentor, colleague, and friend.

The Significance of the Hypothetical in the Natural Sciences

The Significance of the Hypothetical in the Natural Sciences PDF Author: Michael Heidelberger
Publisher: Walter de Gruyter
ISBN: 3110210622
Category : Philosophy
Languages : en
Pages : 385

Book Description
How was the hypothetical character of theories of experience thought about throughout the history of science? The essays cover periods from the middle ages to the 19th and 20th centuries. It is fascinating to see how natural scientists and philosophers were increasingly forced to realize that a natural science without hypotheses is not possible.

David Hilbert and the Axiomatization of Physics (1898–1918)

David Hilbert and the Axiomatization of Physics (1898–1918) PDF Author: L. Corry
Publisher: Springer Science & Business Media
ISBN: 9781402027772
Category : Science
Languages : en
Pages : 542

Book Description
David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential involvement with physics, that spanned his entire career and that constituted a truly main focus of interest in his scientific horizon. His program for axiomatizing physical theories provides the connecting link with his research in more purely mathematical fields, especially geometry, and a unifying point of view from which to understand his physical activities in general. In particular, the now famous dialogue and interaction between Hilbert and Einstein, leading to the formulation in 1915 of the generally covariant field-equations of gravitation, is adequately explored here within the natural context of Hilbert’s overall scientific world-view. This book will be of interest to historians of physics and of mathematics, to historically-minded physicists and mathematicians, and to philosophers of science.

Phenomenology and QBism

Phenomenology and QBism PDF Author: Philipp Berghofer
Publisher: Taylor & Francis
ISBN: 1003824269
Category : Philosophy
Languages : en
Pages : 409

Book Description
This volume brings together philosophers and physicists to explore the parallels between Quantum Bayesianism, or QBism, and the phenomenological tradition. It is the first book exclusively devoted to phenomenology and quantum mechanics. By emphasizing the role of the subject’s experiences and expectations, and by explicitly rejecting the idea that the notion of physical reality could ever be reduced to a purely third-person perspective, QBism exhibits several interesting parallels with phenomenology. The central message of QBism is that quantum probabilities must be interpreted as the experiencing agent’s personal Bayesian degrees of belief – degrees of belief for the consequences of their actions on a quantum system. The chapters in this volume elaborate on whether and specify how phenomenology could serve as the philosophical foundation of QBism. This objective is pursued from the perspective of QBists engaging with phenomenology as well as the perspective of phenomenologists engaging with QBism. These approaches enable us to realize a better understanding of quantum mechanics and the world we live in, achieve a better understanding of QBsim, and introduce the phenomenological foundations of quantum mechanics. Phenomenology and QBism is an essential resource for researchers and graduate students working in the philosophy of physics, philosophy of science, quantum mechanics, and phenomenology.

WITTGENSTEINIAN (adj.)

WITTGENSTEINIAN (adj.) PDF Author: Shyam Wuppuluri
Publisher: Springer Nature
ISBN: 3030275698
Category : Science
Languages : en
Pages : 565

Book Description
“Tell me," Wittgenstein once asked a friend, "why do people always say, it was natural for man to assume that the sun went round the earth rather than that the earth was rotating?" His friend replied, "Well, obviously because it just looks as though the Sun is going round the Earth." Wittgenstein replied, "Well, what would it have looked like if it had looked as though the Earth was rotating?” What would it have looked like if we looked at all sciences from the viewpoint of Wittgenstein’s philosophy? Wittgenstein is undoubtedly one of the most influential philosophers of the twentieth century. His complex body of work has been analysed by numerous scholars, from mathematicians and physicists, to philosophers, linguists, and beyond. This volume brings together some of his central perspectives as applied to the modern sciences and studies the influence they may have on the thought processes underlying science and on the world view it engenders. The contributions stem from leading scholars in philosophy, mathematics, physics, economics, psychology and human sciences; all of them have written in an accessible style that demands little specialist knowledge, whilst clearly portraying and discussing the deep issues at hand.

Physics and Necessity

Physics and Necessity PDF Author: Olivier Darrigol
Publisher: OUP Oxford
ISBN: 0191021938
Category : Science
Languages : en
Pages : 432

Book Description
Can we prove the necessity of our best physical theories by rational means, without appeal to experience? This book recounts a few ingenious attempts to derive physical theories by reason only, beginning with Descartes' geometric construction of the world, and finishing with recent derivations of quantum mechanics from natural axioms. Deductions based on theological, metaphysical, or transcendental arguments are worth remembering for the ways they motivated and structured physical theory, even though we would now criticize their excessive confidence in the power of the mind. Other deductions more modestly relied on criteria for the comprehensibility of nature, including forms of measurability, causality, homogeneity, and correspondence. The central thesis of this book is that such criteria, when properly applied to idealized systems, effectively determine some of our most important theories as well as the mathematical character of the laws of physics. The relevant arguments are not purely rational, because only experience can tell us to which extent nature is comprehensible in a given way. Nor do they block the possibility of ever more varied forms of comprehensibility. They nonetheless suggest the inevitability of much of our theoretical physics.