Excerpt from Die Prinzipien der Mechanik in Neuem Zusammenhange Dargestellt Wahl eines Berufs entschliefsen mufste, wahlte er den des Ingenieurs. Es scheint, dafs die auch in spateren Jahren als ein charakteristischer Grundzug seines Wesens hervor tretende Bescheidenheit ihn an seiner Begabung fur theore tische Wissenschaft zweifeln liefs, und dafs er sich bei der Beschaftigung mit seinen geliebten mechanischen Arbeiten des Erfolges sicherer fuhlte, weil er deren Tragweite schon damals ausreichend verstand. Vielleicht hat ihn auch die in seiner Vaterstadt herrschende, mehr (...) dem Praktischen zugeneigte Sinnesweise beeinflufst. Ubrigens beobachtet man nicht selten diese Art zaghafter Bescheidenheit gerade bei jungen Leuten von hervorragenden Anlagen. Sie haben wohl eine deutliche Vorstellung von den Schwierigkeiten, die vor der Erreichung des ihnen vorschwebenden hohen Zieles zu uberwinden sind, und mussen ihre Krafte erst praktisch erprobt haben, ehe sie das zu ihrem schweren Werke notige Selbstvertrauen ge winnen. Aber auch in ihrer spateren Entwickelung pflegen reich veranlagte Naturen um so unzufriedener mit ihren eigenen Werken zu sein je hoher ihre Fahigkeiten und ihre Ideale reichen. Die Begabtesten erreichen offenbar nur des halb das Hochste, weil sie am empfindlichsten gegen jede Un vollkommenheit sind, und am unermudlichsten an deren Beseitigung arbeiten. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

As the discoverer of electromagnetic waves, Hertz is one of the most important figures in the history of physics. In commemoration of the 100th anniversary of his death, this volume ties together his personal and professional life. It contains 11 of Hertz's most important papers, seven accounts of his life by renowned contemporaries, and a biographical introduction. A bibliography of Hertz's scientific papers, a general bibliography of books and articles about his contributions to physics, and a comprehensive index round out (...) the coverage. Annotation copyright by Book News, Inc., Portland, OR. (shrink)

This article is an investigation of parallel themes in Heinrich Hertz's philosophy science and Kant's theory of schemata, symbols and regulative ideas. It is argued that Hertz's "pictures" bears close similarities to Kantian "schemata", that is, they are rules linking concepts to intuitions and provide them with their meaning. Kant's distinction between symbols and schemata is discussed and related to Hertz's three pictures of mechanics. It is argued that Hertz considered his own picture of mechanics as symbolic in a (...) different way than the force and energy pictures. In the final part of the article it is described how Harald Høffding soon after the publication of Hertz's Principles of Mechanics developed a general theory of analogical reasoning, relying on the ideas of Hertz and Kant. (shrink)

This article is an investigation of parallel themes in Heinrich Hertz's philosophy science and Kant's theory of schemata, symbols and regulative ideas. It is argued that Hertz's "pictures" bears close similarities to Kantian "schemata", that is, they are rules linking concepts to intuitions and provide them with their meaning. Kant's distinction between symbols and schemata is discussed and related to Hertz's three pictures of mechanics. It is argued that Hertz considered his own picture of mechanics (the "hidden mass" picture) (...) as symbolic in a different way than the force and energy pictures. In the final part of the article it is described how Harald Høffding soon after the publication of Hertz's Principles of Mechanics developed a general theory of analogical reasoning, relying on the ideas of Hertz and Kant. (shrink)

Among the most influential and well-known experiments of the 19th century was the generation and detection of electromagnetic radiation by Heinrich Hertz in 1887–1888, work that bears favorable comparison for experimental ingenuity and influence with that by Michael Faraday in the 1830s and 1840s. In what follows, we pursue issues raised by what Hertz did in his experimental space to produce and to detect what proved to be an extraordinarily subtle effect. Though he did provide evidence for the existence (...) of such radiation that other investigators found compelling, nevertheless Hertz’s data and the conclusions he drew from it ran counter to the claim of Maxwell’s electrodynamics that electric waves in air and wires travel at the same speed. Since subsequent experiments eventually suggested otherwise, the question arises of just what took place in Hertz’s. The difficulties attendant on designing, deploying, and interpreting novel apparatus go far in explaining his results, which were nevertheless sufficiently convincing that other investigators, and Hertz himself, soon took up the challenge of further investigation based on his initial designs. (shrink)

In a recently published article A. Nordmann highlighted the fact that Hertz considered it as the greatest pleasure of scientific research to be “alone with nature” and to learn “directly from nature” (see Nordmann, 1998, p. 156). Hertz contrasts this being on his own with nature with the “disputes about human opinions views and demands. (see Nordmann, 1998, p. 156) . It is this contrast between nature on the one hand and human beliefs etc. on the other that is fundamental (...) for his central epistemological pursuit: the attempt to sort out which features of our theories can be attributed to nature as opposed to those which depend on us. I will discuss the various writings in which Hertz touches this subject. (shrink)

Unfortunately, only after online first article publication, it was noticed that the first four sentences in footnote two were incorrect.

In searching for the origins of current conceptions of science in the history of physics, one encounters a remarkable phenomenon. A typical view today is that theoretical knowledge-claims have only relativized validity. Historically, however, this thesis was supported by proponents of a conception of nature that today is far from typical, a mechanistic conception within which natural phenomena were to be explained by the action of mechanically moved matter. Two of these proponents, Hermann von Helmholtz and his pupil Heinrich (...) Hertz, contributed significantly to the modernization of the conception of science. Paradigmatic for their common contribution to this development is the way in which they employed the concept of image. By considering the origin and the different meanings of this concept we may trace a line of development which begins with Helmholtz's original claim that a universally and forever valid theory provides a unique representation of nature. It continues with the realization that the status of scientific knowledge is capable of revision; and it arrives at Hertz's admission that a variety of theories over a domain of objects is possible, at least at times. (shrink)

A obra Eletric Waves foi o ponto de partida para a análise filosófico-metodológica das teorias científicas por parte de H. Hertz e a culminância dessa prática deu-se com a sua obra póstuma The Principles of Mechanics. Nas introduções a essas duas obras um tema metacientífico se apresenta como núcleo central. Nelas Hertz trata das diferentes representações, imagens ou modelos dos fenômenos físicos: no caso da primeira obra, dos fenômenos eletromagnéticos; no caso da segunda, dos fenômenos mecânicos. E a questão que (...) tenta resolver é a seguinte: qual é a origem da pluralidade de imagens nas teorias científicas? Seria ela inevitável? É sobre esse tipo de questões que se fixa o presente trabalho na intenção de apresentar o papel da noção de representação na concepção de ciência de Heinrich Hertz. (shrink)

In this paper I argue against readings of Hertz that overly assimilate him into the thought of late 20th century anti-realists and pluralists. Firstly, as is well-known, various images of the same objects are possible according to Hertz. However, I will argue that this envisaged pluralism concerns the situation before all the evidence is considered i. e. before we can decide whether the images are correct and appropriate. Hertz believes in final and decisive battles of the kind he participated in (...) while doing experiments in electrodynamics. Secondly, I will argue that the concept of representation is still quite appropriately applied to important aspects of images, namely when it comes to fundamental physical equations. In this context Hertz explicitly allows that “characteristics of our image, which claim to represent observable relations of things, do really and correctly correspond to them” (Hertz [1894] 1956, 9). A final consideration is Hertz’s consistent appeal to the concept of the hypothesis. I will argue that his use of the concept does not indicate that he contributed to an increasing hypothetization of science, if this trend is understood in a strong sense, i. e. as the belief that the correctness of scientific theories cannot be established for principled reasons. As mentioned, when it comes to experimental evidence Hertz believes in decisive battles. (shrink)

This book gives an analysis of Hertz's posthumously published Principles of Mechanics in its philosophical, physical and mathematical context. In a period of heated debates about the true foundation of physical sciences, Hertz's book was conceived and highly regarded as an original and rigorous foundation for a mechanistic research program. Insisting that a law-like account of nature would require hypothetical unobservables, Hertz viewed physical theories as images of the world rather than the true design behind the phenomena. This paved the (...) way for the modern conception of a model. Rejecting the concept of force as a coherent basic notion of physics he built his mechanics on hidden masses and rigid connections, and formulated it as a new differential geometric language.Recently many philosophers have studied Hertz's image theory and historians of physics have discussed his forceless mechanics. The present book shows how these aspects, as well as the hitherto overlooked mathematical aspects, form an integrated whole which is closely connected to the mechanistic world view of the time and which is a natural continuation of Hertz's earlier research on electromagnetism. Therefore it is also a case study of the strong interactions between philosophy, physics and mathematics. 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. Hertz's research program was cut short by the advent of relativity theory but its image theory influenced many philosophers as well as some physicists and mathematicians and its geometric form had a lasting influence on advanced expositions of mechanics. (shrink)

El artículo presenta una interpretación del abordaje axiomático temprano a la geometría de David Hilbert, i.e., el desarrollado entre 1891 y 1905. Se sostiene que diversos aspectos de este abordaje, a primera vista problemáticos, se pueden comprender mejor si se contrastan con una de sus influencias más importantes en este periodo: la teoría pictórica [Bildtheorie] de Heinrich Hertz. En particular se argumenta que un análisis de la concepción axiomática de Hilbert a la luz de la teoría de Hertz permite (...) aliviar ciertas tensiones en la concepción hilbertiana; más precisamente, las tensiones que surgen de mantener, al mismo tiempo, una posición axiomática abstracta o formal y una concepción empirista de la geometría, que la considera una ciencia natural. (shrink)

Helmholtz initially ascribes more to theoretical knowledge than merely that it is a picture of the world: it penetrates even to the unobservable causes of the phenomena which he conceived throughout his career as matter set mechanically in motion. The introduction of the picture-concept in the 1860s to characterize scientific theories marks the beginning of the loss of a direct connection with the world. Theories now constitute only a representation of a law-like structure of the world but no longer shed (...) light on the objects themselves. Beginning in the late 1870s, this knowledge of laws takes on an increasingly hypothetical character. (shrink)

En esta obra monumental de Jesper Lützen sobre la mecánica de Heinrich Hertz encontramos una magnífica exposición de la vida y obra de este insigne físico germano. Un interesante relato de las influencias intelectuales que modelaron su pensamiento científico, culmina con un exhaustivo análisis de la reformulación de la mecánica clásica que Hertz planteó poco antes de su prematuro fallecimiento.

Philosophers unacquainted with the workings of actual scientific practice are prone to imagine that our best scientific theories deliver univocal representations of the physical world that we can use to calibrate our metaphysics and epistemology. Those few philosophers who are also scientists, like Heinrich Hertz, tend to contest this assumption. As Jesper Lützen relates in his scholarly and engaging book, Hertz's Principles of Mechanics contributed to a lively debate about the content of classical mechanics and what, if anything, this (...) highly successful scientific theory told us about the physical world. Lützen provides an in-depth reconstruction of how Hertz reacted to the foundational problems within the physics of his day and then used these problems to motivate his influential philosophical reflections on the nature of science and scientific theorizing. While giving a thorough portrait of how Hertz brought together science and philosophy, Lützen himself offers an excellent example of the benefits of combining philosophy, the history of science, and the history of mathematics. Lützen convincingly argues that Hertz's most influential innovation was in bringing geometrical concepts to bear on mechanics in a novel and productive fashion. In his preface he motivates his book by noting that most of the work on Hertz's philosophy of science fails to engage with what Hertz does after the Introduction of his Principles. The bulk of Lützen's book, then, concerns the physical and mathematical content of Hertz's image of mechanics. This places certain demands on the reader who is otherwise unacquainted with analytic mechanics, but is sure to repay those who are willing to work carefully through the more technical details of Lützen's reconstruction.1Hertz is well known for his conception of scientific theories as images [Bilder] and for the fact that his preferred image of mechanics takes only space, …. (shrink)

Heinrich Hertz dedicated the last four years of his life to a systematic reformulation of mechanics. One of the main issues that troubled Hertz in the customary formulation of mechanics was a "logical obscurity" in the notion of force. However, it is unclear what this logical obscurity was, hence it is unclear how Hertz took himself to have avoided it. -/- In this paper, I argue that a subtle ambiguity in Newton's original laws of motion lay at the basis (...) of Hertz's concerns; an ambiguity which led to the development of two slightly different notions of force. I then show how Hertz avoided this ambiguity by deriving a unitary notion of force, thus dispelling the obscurity that lurked in the customary representation of mechanics. (shrink)

The German physicist Heinrich Hertz played a decisive role for Wittgenstein's use of a unique philosophical method. Wittgenstein applied this method successfully to critical problems in logic and mathematics throughout his life. Logical paradoxes and foundational problems including those of mathematics were seen as pseudo-problems requiring clarity instead of solution. In effect, Wittgenstein's controversial response to David Hilbert and Kurt Gödel was deeply influenced by Hertz and can only be fully understood when seen in this context. To comprehend the (...) arguments against the metamathematical programme, and to appreciate how profoundly the philosophical method employed actually shaped the content of Wittgenstein's philosophy, it is necessary to make an intellectual biographical reconstruction of their philosophical framework, tracing the Hertzian elements in the early as well as in the later writings. In order to write Wittgenstein's biography, we have to take seriously the coherence of his thought throughout his life, and not let convenient philosophical ideologies be our guidance in drawing up a “Wittgensteinian philosophy”. To do so, we have to take a second look upon what he actually wrote, not only in the already published material, but in the entire Nachlass. Clearly, this is not easily done, but it is a necessary task in the historical reconstruction of Wittgenstein's life and work. (shrink)

Many commentators agree that Wittgenstein took the idea that propositions are Bilder, or at least the terminology of Bilder, from Heinrich Hertz, or from Hertz and Ludwig Boltzmann. Boltzmann, the great Viennese theoretical physicist, was the founder of statistical thermodynamics, the modern theory of heat. The context within which Hertz and Boltzmann worked was one in which many prominent theoretical physicists accepted the Kantian restriction that our thought cannot access 'things in themselves', but works only with representations. Wittgenstein may (...) have found what Hertz said attractive, but even if he did develop a theory of representation or a picture theory of meaning, neither was something that he just took over from Hertz, fully formed, and his main concerns were puzzles about intentionality, not science. Hertz and Boltzmann did influence various aspects of the Tractatus. Their greatest and most lasting influence on Wittgenstein, though, was on his conception of philosophy itself: its aim, and its method. (shrink)

The influence of Heinrich Hertz's The Principles of Mechanics on Ludwig Wittgenstein's Tractatus Logico‐Philosophicus has been studied for decades, but it has never become a mainstream topic in the Wittgensteinian literature. This paper focusses on Tractarian notions of objects, elementary facts and elementary sentences and discusses their similarities with Hertz's concepts of mass, its constituents and their mechanistic images. As the paper demonstrates, the Hertzian context provides some fruitful interpretational leads concerning several controversial ideas endorsed by early Wittgenstein, namely (...) propositional analysis, logical independence of elementary facts, logical independence of elementary sentences, and modalities. (shrink)

There have recently appeared claims that the influence Heinrich Hertz exerted over Wittgenstein's later work was far more abiding than previously recognised. I critically evaluate such claims by Gordon Baker and Allan Janik. I first show that Hertz was indeed concerned with the same feature, clarity, which often exercised Wittgenstein. But I then argue that Wittgenstein should not be seen as having adopted the conception of philosophical method, which Hertz deployed in The Principles of Mechanics. I show that Hertz (...) ‘clarifies’ the concept of force only in the sense that he alters that concept, and that he is not using the sort of ‘contrastive’ methods characteristic of Wittgenstein's later works. (shrink)

There have recently appeared claims that the influence Heinrich Hertz exerted over Wittgenstein's later work was far more abiding than previously recognised. I critically evaluate such claims by Gordon Baker and Allan Janik. I first show that Hertz was indeed concerned with the same feature, clarity, which often exercised Wittgenstein. But I then argue that Wittgenstein should not be seen as having adopted the conception of philosophical method, which Hertz deployed in The Principles of Mechanics. I show that Hertz (...) ‘clarifies’ the concept of force only in the sense that he alters that concept, and that he is not using the sort of ‘contrastive’ methods characteristic of Wittgenstein's later works. (shrink)

This paper provides new elements for reconstructing Heinrich Hertz's conversion from an electrodynamic concept to a concept of field theory, a process that took place between September 1887 and February 1888. First of all, it is argued that, contrary to what one could deduce from Hertz's own presentation in his Untersuchungen (or Electric Waves), paper N∘ 5 was actually written after the first publication of papers N∘ 6 and N∘ 7; this fact is illuminated by Hertz's unpublished correspondence (Section (...) 1). Following this reordering, an approximative process of Hertz's conversion based only on his published papers is described (Section 2). Second, by complementing Hertz's published Erinnerungen (or Memoirs, Letters, Diaries) with his unpublished Versuchsprotokolle (Laboratory notes), a much finer description of this conversion process is discussed (Section 3). It is finally concluded that Hertz's idea of “air waves” belongs at the very end of this process, and was mainly attained through experimental hints found within Helmholtz's theoretical framework. (shrink)

The literature on Heinrich Hertz’s influence on Wittgenstein goes back some way. Not all the main commentators discuss or even notice that influence, although it has been particularly emphasised by James Griffin, by Allan Janik and Stephen Toulmin, and by Leonard Goddard and Brenda Judge.

The place of Heinrich Hertz’s The principles of mechanics in the history of the philosophy of science is disputed. Here I critically assess positivist interpretations, concluding that they are inadequate.There is a group of commentators who seek to align Hertz with positivism, or with specific positivists such as Ernst Mach, who were enormously influential at the time. Max Jammer is prominent among this group, the most recent member of which is Joseph Kockelmans. I begin by discussing what Hertz and (...) Mach had to say about one another, and I specify certain respects in which their views are indeed similar. I then go on to detail their differences, looking at Hertz’s attitude to the atomic theory, to the mechanical world-view, to simplicity, to unobservables and metaphysics, and his objections to Newtonian forces. I conclude that the positivist interpretation of Hertz’s mechanics significantly overplays its similarities to Mach’s views.Keywords: Ernst Mach; Heinrich Hertz; Mechanics; Positivism; Atomism; Force; Metaphysics. (shrink)

Various claims have been made about the influence of Heinrich Hertz's Principles of Mechanics on Wittgenstein's work. I consider some such recent claims, made by Allan Janik, to the effect that Hertz exercised a very strong influence on Wittgenstein, early and late. I suggest they are ill-founded, in virtue of misinterpretations either of Hertz, or of Wittgenstein, or of both. I try to set the record straight on issues such as the three criteria Hertz suggests for evaluating scientific 'representations' (...) [Darstellungen] or 'images' [Bilder], his conception of philosophy, the nature of Hertz's project and its relation to philosophy, the extent to which he agrees and disagrees with Ernst Mach, and his influence on the Tractatus. (shrink)