The object in this article is to discuss the philosophical bearing of recent inquiries concerning geometrical axioms and the possibility of working out analytically other systems of geometry with other axioms than Euclid's. Digital edition compiled by Gabriele Dörflinger, Heidelberg University Library.

The object in this article is to discuss the philosophical bearing of recent inquiries concerning geometrical axioms and the possibility of working out analytically other systems of geometry with other axioms than Euclid's. Digital edition compiled by Gabriele Dörflinger, Heidelberg University Library.

We propose a French translation of the preface written by H. nov Helmholtz to the second part of volume one of the translation of the Treatise on Natural Philosophy due to Sir William Thompson and Tait. The numbers in square brackets refer to the page numbers of the original text.RésuméNous proposons une traduction française de la préface de H. von Helmholtz à la seconde partie du premier volume de la traduction du Treatise on Natural Philosophy de Sir William (...) Thompson et Tait. Les nombres entre crochets rappellent la pagination du texte original. (shrink)

Nous proposons une traduction française de la préface de H. von Helmholtz à la seconde partie du premier volume de la traduction du Treatise on Natural Philosophy de Sir William Thompson et Tait. Les nombres entre crochets rappellent la pagination du texte original.

We propose a French translation of the preface written by H. nov Helmholtz to the German translation of Fragments of Science by Tyndall. The German translation was by Anna von Helmholtz and Du-Bois Reymond and reviewed by H. von Helmholtz. The numbers in square brackets refer to the page numbers of the original text.RésuméNous proposons une traduction française de la préface de H. von Helmholtz à la traduction allemande des Fragments of Science de Tyndall, traduction allemande (...) réalisée par Anna von Helmholtz et Du-Bois Reymond et revue par H. von Helmholtz. Les nombres entre crochets rappellent la pagination du texte original. (shrink)

Nous proposons une traduction française de la préface de H. von Helmholtz à la traduction allemande des Fragments of Science de Tyndall, traduction allemande réalisée par Anna von Helmholtz et Du-Bois Reymond et revue par H. von Helmholtz. Les nombres entre crochets rappellent la pagination du texte original.

This anthology collects readings from important nineteenth and early twentieth century figures who contributed to the philosophy of science before that discipline emerged in the last 40 years as an area of study in its own right. It begins with a seldom-read selection by Kant ) and ends with a selection from Bridgman's The Logic of Modern Physics. Each selection is preceded by a three-page biography of the author together with a bibliography of his major writings and some writings on (...) his work. Many familiar names appear, e.g., Mill, Mach, Pearson, Hertz, Poincare, Peirce, Duhem, Russell, Whitehead, and Campbell. But there are others represented whose actual writings are not so familiar to many students of the philosophy of science, e.g., J. F. W. Herschel, William Whewell, Hermann Von Helmholtz, J. B. Stallo, Emile Boutroux and William Ostwald. With the exception of Stallo, the writings of these figures have been long out of print. In one case, a selection from Ludwig Boltzmann on the nature of mechanics, the editor has translated the selected passage into English expressly for this volume. A wide range of topics are considered in the readings: physical laws, theories, induction, observation, space, time, and others; but, as the nature of the case requires, the focus of attention is on classical science. For this reason most existing courses in the philosophy of science could use this collection only as a supplementary text. But it would function well in such a role. Moreover, specialized courses in the history of philosophical thinking about science will find it very useful.--R. H. K. (shrink)

In this paper, the Helmholtz equation with quadratic damping themes is used for modeling the dynamics of a simple prey-predator system also called a simple Lotka–Volterra system. From the Helmholtz equation with quadratic damping themes obtained after modeling, the equilibrium points have been found, and their stability has been analyzed. Subsequently, the harmonic oscillations have been studied by the harmonic balance method, and the phenomena of resonance and hysteresis are observed. The primary and secondary resonances have been researched (...) by the multiple-scale method, and the conditions of stability of the amplitudes of oscillations are determined. Chaos is detected analytically by the Melnikov method and numerically using the basin of attraction, the bifurcation diagram, the Lyapunov exponent, the phase portrait, and the Poincaré section. The effects of all the parameters of the system are analyzed in detail, and special emphasis is placed on the new parameters. Through this analysis, the complex phenomena such as hysteresis, bistability, amplitude jump, resonances, and chaos have been obtained. The control of the parameters and the necessary conditions to control the aforementioned phenomena have been found. (shrink)

This chapter finds two versions of the distinction between primary and secondary qualities in Galileo, Descartes, Boyle, and Locke. Although agreeing that primary qualities are physically basic properties of extended particles (including size, shape, position, and motion), these authors differed on whether secondary qualities such as color exist only in the mind as sensations or belong to bodies as powers to cause sensations. Kant was initially a metaphysical realist about primary qualities as spatialized forces (vs. bare extended particles), before placing (...) space among the appearances in his critical period. Space becomes the subjective form in which transcendently real forces and relations appear. Kant viewed color as a subjective sensation in the mind, whereas Helmholtz treated color as a power to cause sensations. Helmholtz was initially a realist about primary qualities as spatialized masses and forces, but he later adopted the epistemically modest view of space as the subjective form in which forces and relations appear. (shrink)

In 1887 Helmholtz discussed the foundations of measurement in science as a last contribution to his philosophy of knowledge. This essay borrowed from earlier debates on the foundations of mathematics, on the possibility of quantitative psychology, and on the meaning of temperature measurement. Late nineteenth-century scrutinisers of the foundations of mathematics made little of Helmholtz’s essay. Yet it inspired two mathematicians with an eye on physics, and a few philosopher-physicists. The aim of the present paper is to situate (...) Helmholtz’s contribution in this complex array of nineteenth-century philosophies of number, quantity, and measurement.Author Keywords: Helmholtz; Measurement; Arithmetic; P. Du Bois-Reymond; H. and R. Grassmann; J. von Kries. (shrink)

Die von Helmholtz zur Begründung des Energieprinzips in der Einleitung zu seiner Schrift "Über die Erhaltung der Kraft" genannten Bedingungen der physikalischen Forschung teile Ich in zwei Gruppen. Die erste betrifft methodische und begriffliche Voraussetzungen, die zunächst unabhängig von Erfahrung gelten (1); die zweite schränkt diese Geltung ein, indem sie die Reichweite der Methode und die Bestimmung des Ziels der Forschung Erkenntnissen unterordnet, die allein in der Erfahrung gewonnen werden können (2). Nicht den allgemeinen Bedingungen der physikalischen Forschung, sondern (...) speziellen Forschungsergebnissen entnimmt Helmholtz dann die vermeintlichen Hinweise auf die mechanische, d. h. energieerhaltende Struktur der Natur (3). Dieser Argumentation entspricht es. daß er dem physikalischen Naturwissen einen, mit der Zeit abnehmenden hypothetischen Charakter zuweist(4). (shrink)

Le présent dossier s’inscrit dans la continuité des travaux menés au sein du projet : « Histoire du post- et néokantisme » au sein de l’axe 3 des Archives Poincaré, projet mené en étroite collaboration avec l’Académie Helmholtz présidée par Gerhard Heinzmann, et de nombreux partenaires universitaires, enseignants et doctorants, qui travaillent sur l’histoire de la philosophie allemande d’inspiration kantienne. Dans un précédent volume de Philosophia Scientiæ (20-1) paru en 2016, Le kantisme h...

This article aims to read feminist new materialisms (Barad), together with ‘postulated’ linguistic or cultural primacy of Queer Theory (Butler), to show how both are engaged in similar critical-ethical endeavours. The central argument is that the criticism of Barad and new materialisms misses Butler’s materialistic insights due to a narrow interpretation of Butler's alleged social-constructivist position. There is, therefore, a specific focus on where they both make similar ethical appeals. Moreover, the article relies on Adorno's negative dialectic to highlight an (...) interpretation of Barad and Butler as being part of the same dialectical movement, in which materialism and idealism fluctuate in their mutual criticisms, thus continuing the procession towards 'new knowledge' and emancipation, or freedom, through their motions back and forth. (shrink)

This paper examines Helmholtz's attempt to use empirical psychology to refute certain of Kant's epistemological positions. Particularly, Helmholtz believed that his work in the psychology of visual perception showed Kant's doctrine of the a priori character of spatial intuition to be in error. Some of Helmholtz's arguments are effective, but this effectiveness derives from his arguments to show the possibility of obtaining evidence that the structure of physical space is non-Euclidean, and these arguments do not depend on (...) his theory of vision. Helmholtz's general attempt to provide an empirical account of the "inferences" of perception is regarded as a failure. (shrink)

Philosophers ask just whose expression, if anyone’s, we hear in lyric poetry. Walton provides a novel possibility: it’s the reader who “uses” the poem (just as a speech giver uses a speech) who makes the language expressive. But worries arise once we consider poems in particular social or political settings, those which require a strong self-other distinction, or those with expressions that should not be disassociated from the subjects whose experience they draw from. One way to meet this challenge is (...) to consider the poem expressive of a plural subject, which frees us from looking for a particular individual whose voice we hear in the work, whether she be fictional or actual. Some lyrics give voice to a group whose experience is attended to in the work. This may be done through a posited fictional speaker, but the ontology of the speaker is shown to be less important. Attending to a group whose concerns are voiced allows us to explain how poems can manage to address our-worldly concerns even when lacking actual persons whose expressions we encounter in the poems. (shrink)

This is a study of the nature of time. In it, redeploying an argument first presented by McTaggart, the author argues that although time itself is real, tense is not. He accounts for the appearance of the reality of tense - our sense of the passage of time, and the fact that our experience occurs in the present - by showing how time is indispensable as a condition of action. Time itself is further analysed, and Dr Mellor gives answers to (...) most of the metaphysical questions it provokes, concerning the relation of time to space, the dissection of time, and its relation to change and causation. (shrink)

The problems which that earlier period considered fundamental to all science were those of the theory of knowledge: What is true in our sense perceptions and thought? and In what way do our ideas correspond to reality? Philosophy and the natural sciences attack these questions from opposite directions, but they are the common problems of both. Philosophy, which is concerned with the mental aspect, endeavours to separate out whatever in our knowledge and ideas is due to the effects of the (...) material world, in order to determine the nature of pure mental activity. The natural sciences, on the other hand, seek to separate out definitions, systems of symbols, patterns of representation, and hypotheses, in order to study the remainder, which pertains to the world of reality whose laws they seek, in a pure form. Both try to achieve the same separation, though each is interested in a different part of the divided field. (shrink)

Hermann von Helmholtz was a leading figure of nineteenth-century European intellectual life, remarkable even among the many scientists of the period for the range and depth of his interests. A pioneer of physiology and physics, he was also deeply concerned with the implications of science for philosophy and culture. From the 1850s to the 1890s, Helmholtz delivered more than two dozen popular lectures, seeking to educate the public and to enlighten the leaders of European society and governments about (...) the potential benefits of science and technology to a developing modern society. David Cahan has selected fifteen of these lectures, which reflect the wide range of topics of crucial importance to Helmholtz and his audiences. Among the subjects discussed are the origins of the planetary system, the relation of natural science to science in general, the aims and progress of the physical sciences, the problems of perception, and academic freedom in German universities. This collection also includes Helmholtz's fascinating lectures on the relation of optics to painting and the physiological causes of harmony in music, which provide insight into the relations between science and aesthetics. Science and Culture makes available again Helmholtz's eloquent arguments on the usefulness, benefits, and, intellectual pleasures of understanding the natural world. With Cahan's Introduction to set these essays in their broader context, this collection makes an important contribution to the philosophical and intellectual history of Europe at a time when science played an increasingly significant role in social, economic, and cultural life. (shrink)