Two seemingly contradictory tendencies have accompanied the development of the natural sciences in the past 150 years. On the one hand, the natural sciences have been instrumental in effecting a thoroughgoing transformation of social structures and have made a permanent impact on the conceptual world of human beings. This historical period has, on the other hand, also brought to light the merely hypothetical validity of scientific knowledge. As late as the middle of the 19th century the truth-pathos in the natural (...) sciences was still unbroken. Yet in the succeeding years these claims to certain knowledge underwent a fundamental crisis. For scientists today, of course, the fact that their knowledge can possess only relative validity is a matter of self-evidence. The present analysis investigates the early phase of this fundamental change in the concept of science through an examination of Hermann von Helmholtz's conception of science and his mechanistic interpretation of nature. Helmholtz (1821-1894) was one of the most important natural scientists in Germany. The development of this thoughts offers an impressive but, until now, relatively little considered report from the field of the experimental sciences chronicling the erosion of certainty. (shrink)

Nineteenth-century scientist Hermann von Helmholtz’s peculiar wavering between empiricism and transcendentalism in his philosophy of science in general, and in his theory of perception in particular, is a much debated and well-documented topic in the history and philosophy of science. This contribution aims at providing a fresh angle on this classical issue, by considering Helmholtz’s account of differential consciousness against the background of a centuries-old philosophical debate between the empiricist tradition and the tradition of transcendental idealism. By (...) placing Helmholtz’s psychology against the background of a historical narrative stretching from Hume to Fichte, one can gain insight into the possible merits of his empirico-transcendentalism with regard to the problem of differentiation. More particularly, it is argued that Helmholtz’s psychology tilted towards transcendentalism when met with the classical theoretical problems of strict empiricism in dealing with the foundation of consciousness, most notably circularity and infinite regress. Without claiming that Helmholtz’s theorizing presented a self-conscious attempt to overcome the latter issues, his well-known wavering between perspectives in general, and his appropriation of the a priori in particular, might have served him well in avoiding the deadlocks of empiricism. As noted at the end, however, Helmholtz’s account produced complex philosophical problems of its own. (shrink)

Nach einer kurzen Übersicht über das Leben und Werk von Helmholtz, diskutiere ich die drei Themenbereiche, die für die Beurteilung seines Verhältnisses zu Kant vornehmlich ins Gewicht fallen. Der erste Bereich bildet die Begründung des Energieerhaltungssatzes von 1847, den der späte Helmholtz selbst „durch Kant’s erkenntnistheoretische Ansichten […] beeinflusst“ gesehen hat. Während viele Interpreten diese Selbstauskunft für berechtigt halten, sehe ich in der Struktur der Begründung einen Ausdruck der gegensätzlichen Wissenschaftsauffassungen von Helmholtz und Kant. Als zweites gehe (...) ich auf die Rolle der Kausalität in der Wahrnehmungstheorie ein. In diesem Kontext bezieht sich Helmholtz erstmals und durchaus positiv explizit auf Kant. Seine Rede "Über das Sehen des Menschen" von 1855 zur Einweihung eines Kantdenkmals in Königsberg gilt als eines der Gründungsdokumente des Neukantianismus und spiegelt doch zugleich die tiefgreifenden Differenzen zwischen empiristischer und idealistischer Wissenschaftsphilosophie wider. Zeitlich wiederum nachfolgend steht die Begründung der nichteuklidischen Geometrien als dritter Bereich für die deutlichste Kritik an Kants transzendentaler Begründung der Wissenschaft. Sie ist zugleich wohl auch Helmholtz’ bekanntester Beitrag zur Hypothetisierung der Wissenschaftssauffassung. -/- der Gründungsdokumente des Neukantianismus und spiegelt doch zugleich die tiefgreifenden Differenzen zwischen empiristischer und idealistischer Wissenschaftsphilosophie wider. Zeitlich wiederum nachfolgend steht die Begründung der nichteuklidischen Geometrien als dritter Bereich für die deutlichste Kritik an Kants transzendentaler Begründung der Wissenschaft. Sie ist zugleich wohl auch Helmholtz’ bekanntester Beitrag zur Hypothetisierung der Wissenschaftssauffassung. Dem Werk von Hermann von Helmholtz wird gemeinhin ein maßgeblicher Stellenwert bei der Begründung der neukantianischen Bewegung im 19. Jahrhundert beigemessen. Wo diese Zuordnung Helmholtz’ positive Bezüge auf Immanuel Kant ohne hinreichende Kontextualisierung hervorhebt, läuft sie Gefahr, die Distanz zu übersehen, die zwischen den wissenschaftsphilosophischen Positionen von Helmholtz und Kant bestand. In meinem Beitrag gewinnt das Verhältnis von Helmholtz zu Kant erst seine Bedeutung vor dem Hintergrund ihrer konträren ontologischen und erkenntnistheoretischen Grundannahmen. Helmholtz betrachte ich als repräsentativen Vertreter einer szientistischen Wissenschaftsauffassung in der Naturforschung des 19. Jahrhunderts. Demgegenüber bietet Kant ein paradigmatisches Beispiel einer metaphysischen Wissenschaftsbegründung. Im Gegensatz zu Kant beschränkt Helmholtz seinen Ausgangspunkt nicht auf erfahrungsfreie Prinzipien, sondern entwickelt und stützt seine Begründung des Geltungsanspruches der wissenschaftlichen Erkenntnis auf forschungsbewährte Theorien und Experimente. Eine Differenz zwischen den beiden Positionen findet sich ebenfalls in den Strukturen der jeweils vertretenen Naturkonzeptionen. Führt Kants dynamischer Mechanismus alle Eigenschaften der Materie auf Kräfte zurück, so geht Helmholtz von einer Dualität von Kraft und Materie aus. (shrink)

Aus dem vielfältigen Werk von Hermann von Helmholtz versammelt diese Ausgabe die im engeren Sinne philosophischen Abhandlungen, vor allem zur Wissenschaftsphilosophie und Erkenntnistheorie, sowie Vorträge und Reden, bei denen der Autor seine Ausnahmestellung im Wissenschaftsbetrieb nutzte, um die Wissenschaften und ihre Institutionen in der bestehenden Form zu repräsentieren und zu begründen. Ein Philosoph wollte Helmholtz nicht sein, aber er legte der philosophischen Reflexion wissenschaftlicher Erkenntnis und wissenschaftlichen Handelns große Bedeutung bei. Vor allem bezog er, in der Regel (...) ausgehend von seinen fachwissenschaftlichen Forschungen, in den verschiedensten Kontexten zu erkenntnistheoretischen und methodologischen Problemen der Wissenschaften Stellung. Bereits »Ueber die Erhaltung der Kraft« (1847) lässt erkennen, wie verwoben naturwissenschaftliche Grundlagenforschung und philosophische Grundlagenreflexion in seinem Werk sind. Die aus den frühen sinnesphysiologischen Forschungen hervorgegangene empiristische Wahrnehmungslehre trug ihm den Ruf ein, ein maßgeblicher Vertreter des Neukantianismus zu sein. Spätere Arbeiten v.a. zur Geometrie und Arithmetik – das zeigt die vorliegende Ausgabe – stellen jedoch eine radikale Absage an den konstitutiven Kern des Kantianismus (nämlich die Existenz synthetischer Urteile a priori) dar. Helmholtz’ philosophische Beiträge sind bisher in ihrer Vollständigkeit nicht annähernd so gut zugänglich wie sein naturwissenschaftliches Werk. Die Ausgabe enthält außerdem bibliographische Vorberichte zur Einordnung, detaillierte Namens- und Sachregister sowie mit 575 Einträgen für den Zeitraum zwischen 1842 und 2012 die erste umfassende Bibliographie von Helmholtz verfasster Werke überhaupt. »Ich glaube, dass der Philosophie nur wieder aufzuhelfen ist, wenn sie sich mit Ernst und Eifer der Untersuchung der Erkenntnissprocesse und der wissenschaftlichen Methode zuwendet. Da hat sie eine wirkliche und berechtigte Aufgabe.« Helmholtz in einem Brief um 1875. (shrink)

Der Verzicht auf absolut gültige Erkenntnis, heute in den Naturwissenschaften beinahe schon selbstverständlich, ist erst jüngeren Datums. Noch im vergangenen Jahrhundert zweifelte die experimentelle Forschung kaum an der vollkommenen Begreifbarkeit der Welt. Diesen Wandel zu erkunden und aufzuzeigen ist Thema der vorliegenden Studie. Der erste Teil präsentiert verschiedene Typen neuzeitlicher und moderner Wissenschaftsauffassungen von Galilei über Newton bis hin zu Kant. Im zweiten Teil werden Entwicklung und Wandel der Wissenschafts- und Naturauffassung bei Helmholtz (1821-1895) erstmals mittels detaillierter Textanalysen einer (...) umfassenden Rekonstruktion unterzogen. Die Relativierung des Wahrheitsanspruchs erlaubt es Helmholtz, seine Naturauffassung trotz der antimechanistischen Kritik innerhalb der Physik, die im letzten Viertel des vergangenen Jahrhunderts laut wurde, als Hypothese aufrechtzuerhalten. Auch gewährt die Studie eine neue Sichtweise des Verhältnisses zwischen Helmholtz und Kant, das in der Vergangenheit kontroverse Beurteilungen erfuhr. (shrink)

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)

With his influence on the development of physiology, physics and geometry, Hermann von Helmholtz – like few scientists of the second half of the 19th century – is representative of the research in natural science in Germany. The development of his understanding of science is not less representative. Until the late sixties, he emphatically claimed the truth of science; later on, he began to see the conditions for the validity of scientific knowledge in relative terms, and this can, (...) in summary, be referred to as hypothesizing. Already in the past century, HeImholtz made first approaches to an understanding of science, which were incompatible with his own former position and which pointed to the modern age to an astonishingly large extent. A comparison with Karl R. Popper's logic of research will illustrate how closely he nevertheless approached modern understanding of science. In Popper's logic of research, hypothesizing of scientific knowledge is definitely much more advanced than in Helmholtz's theory of science. What begins vaguely to emerge with Helmholtz has already become an explicitly formulated programme with Popper. Although HeImholtz and Popper are not on a direct line of epistemological development and Popper refers to HeImholtz only rarely and casually, there are in fact surprising points of contact which have not been taken notice of so far and which appear above all if one looks at Helmholtz's understanding of science against the background of Popper's logic of research. (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)

Mit seinem Einfluß auf die Entwicklung der Physiologie, Physik und Geometrie ist Hermann von Helmholtz wie kaum ein anderer Wissenschaftler der zweiten Hälfte des 19. Jahrhunderts repräsentativ für die Naturforschung in Deutschland. Nicht weniger repräsentativ nimmt sich die Entwicklung seiner Wissenschaftsauffassung aus. Während er bis in die späten 60er Jahre einen emphatischen Wahrheitsanspruch der Wissenschaft vertrat, begann er in der nachfolgenden Zeit, die Geltungsbedingungen der wissenschaftlichen Erkenntnis einer Relativierung zu unterwerfen, die zusammenfassend als Hypothetisierung bezeichnet werden kann. (...) class='Hi'>Helmholtz entwickelte damit schon im vergangenen Jahrhundert Ansätze einer Wissenschaftsauffassung , die in erstaunlichem Umfang in die Richtung der Moderne weisen. Wie nah er späteren Wissenschaftsauffassungen bereits gekommen ist, kann ein Vergleich mit Karl R. Poppers Forschungslogik illustrieren. In seiner Forschungslogik ist die Hypothetisierung der wissenschaftlichen Erkenntnis entschieden weiter vorangeschritten als in Heimholtz' Wissenschaftstheorie. Was sich bei Helmholtz erst vage abzuzeichnen beginnt, ist bei ihm bereits explizit formuliertes Programm geworden. Obwohl HeImholtz und Popper in keiner direkten wissenschaftstheoretischen Entwicklungslinie stehen und Popper sich in seinen Schriften auch nur sehr selten und beiläufig auf Helmholtz bezieht, finden sich dennoch überraschende und bisher nicht beachtete Berührungspunkte, die insbesondere dann hervortreten, wenn man Heimholtz' Wissenschaftsauffassung vor dem Hintergrund von Poppers Forschungslogik betrachtet. (shrink)

Die Entwicklung von HeImholtz' Mechanismus ist durch einen Wandel im Geltungsanspruch gekennzeichnet und läßt sich in einer noch sehr groben Übersicht in zwei Perioden einteilen. Auf die erste Periode bis etwa zum Ende der 60er Jahre werde ich im ersten Teil meines Beitrages eingehen. Hier rekonstruiere ich umrißhaft die empiristische Begründung, die Helmholtz für den Wahrheitsanspruch seiner Naturauffassung gegeben hat. Im zweiten Teil werde ich dann die wichtigsten Merkmale der im Verlauf der 70er Jahre hervortretenden Hypothetisierungstendenz charakterisieren. Abschliessend will (...) ich in einem dritten Teil zeigen, wie Helmholtz auf der Grundlage seines gewandelten Wissenschaftsverständnisses das Programm einer mechanistischen Naturerklärung mit großem wirkungsgeschichtlichen Einfluß weiter verfolgt hat. (shrink)

Meine Rekonstruktion von HeImholtz' Begründung der Energieerhaltung beabsichtigt, vor allem das Verhältnis von empirischen und nichtempirischen Elementen aufzuklären. Als erstes möchte ich zeigen, worin die nichtempirischen Elemente bestehen und dass Helmholtz bereits in der Einleitung, wo der selbständige Energiebegriff noch nicht entwickelt ist, an entscheidenden Stellen auf die wissenschaftliche Erfahrung Bezug nimmt. Im Gegensatz zur Transzendentalphilosophie macht Helmholtz die Geltungsbedingungen seines Mechanismus von zukünftigen empirischen Ergebnissen der Wissenschaft abhängig. Er gibt seinem Mechanismus in diesem Zusammenhang eine hypothetische Geltung, (...) an deren bloß vorübergehenden Charakter er aber bemerkenswerterweise keinen Zweifel hegt. (1.) Im zweiten Teil gehe ich der Frage nach, in welchem Maß die mit großer Siegesgewissheit vorgetragene mechanistische Begründung in die Formulierungen des Erhaltungssatzes Eingang findet. Helmholtz verwendet mehrere Energiebegriffe. Haben diese insgesamt oder nur teilweise einen von speziellen naturphilosophischen Annahmen unabhängigen Status? Auf welche Teile der Schrift hätte sich ein Wissenschaftler im vergangenen Jahrhundert stützen können, weIcher von der Energieerhaltung, nicht aber von Helrnholtz' Mechanismus überzeugt gewesen wäre? (2.). (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)

Helmholtz's public reflection about the nature of the experiment and its role in the sciences is a historically important description, which also helps to analyze his own works. It is a part of his conception of science and nature, which can be seen as an ideal type of science and its goals. But its historical reach seems to be limited in an important respect. Helmholtz's understanding of experiments is based on the idea that their planning, realization and evaluation (...) lies in the hands of a person or group acting according to decisions of free will. In my opinion this idea is characteristic for the foundation of the experimental method in early modern times, not however for several forms of its present structures. Above all, the increasing technization of producing knowledge reduces the roIe of the subject in conducting experiments. My lecture consists of three parts. In its first part I would like to present a summary of Helmholtz's own theory of experiment and the change of his conception of science and nature. In the second part I would like to discuss three examples of his experimental practice, which were taken in chronological order from three different periods of his work; in the third part I would like to compare the examples with the change of his conception of science and nature. (shrink)

Hermann von Helmholtz’s work on perceptual science had a fundamental impact on Neo-Kantian movements in the late nineteenth century, and his influence continues to be felt in psychology and analytic philosophy of perception. As is widely acknowledged, Helmholtz denied that we can perceive mind-independent properties of external objects, a view I label Ignorance. Given his commitment to Ignorance, Helmholtz might seem to be committed to a subjectivism according to which we only perceive properties of our own (...) representations. Against this, I argue that for Helmholtz, the properties we perceive are not monadic properties of either the subject or the object. Rather, Helmholtz endorsed a relationalism about the properties we perceive: the properties of objects we perceive are all relational properties. I then suggest that once we take into account oft-neglected terminological distinctions in Helmholtz’s corpus, we are better able to make sense of his commitment to relationalism. (shrink)

Hermann von Helmholtz (1821-1894) established results both controversial and enduring: analysis of mixed colors and of combination tones, arguments against nativism, and the analysis of sensation and perception using the techniques of natural science. The paper focuses on Helmholtz’s account of sensation, perception, and representation via “physiological psychology”. Helmholtz emphasized that external stimuli of sensations are causes, and sensations are their effects, and he had a practical and naturalist orientation toward the analysis of phenomenal experience. However, (...) he argued as well that sensation must be interpreted to yield representation, and that representation is geared toward objective representation (the central thesis of contemporary intentionalism). The interpretation of sensation is based on “facts” revealed in experiment, but extends to the analysis of the quantitative, causal relationships between stimuli and responses. A key question for Helmholtz’s theory is the extent to which mental operations are to be ascribed a role in interpreting sensation. (shrink)

Hermann von Helmholtz hat als Naturforscher sowohl die Physik als auch die Physiologie um eine beeindruckende Anzahl grundlegender Erkenntnisse bereichert, ihr heutiges Selbstverständnis entscheidend mitgeprägt, ihre Verfahren auf neue Gegenstandsbereiche angewendet und war führend an ihrem institutionellen Ausbau zu Laborwissenschaften beteiligt.

The physiologist Johannes Müller’s doctrine of specific nerve energies had a decisive influence on neo-Kantian conceptions of the objectivity of knowledge in the 1850s - 1870s. In the first half of the nineteenth century, Müller amassed a body of experimental evidence to support his doctrine, according to which the character of our sensations is determined by the structures of our own sensory nerves, and not by the external objects that cause the sensations. Neo-Kantians such as Hermann von Helmholtz, (...) F.A. Lange, and Otto Liebmann took Müller’s doctrine to have far-reaching consequences for their epistemologies. Over the course of the 1850s - 1870s, these three neo-Kantians, each in his own way, argued that reflection on Müller’s doctrine ruled out a certain conception of the objectivity of knowledge. It ruled out the view that knowledge is objective in virtue of affording us information about objects in a mind-independent external world. -/- This paper traces how Helmholtz, Lange, and Liebmann developed their arguments for this view, and how each developed his own alternative conception of objectivity, according to which objectivity has nothing to do with a mind-independent world. Finally, the paper concludes by considering why these arguments modelled on Müller’s doctrine would have been so powerful against rival post-Hegelian conceptions of objectivity, especially those of scientific materialists like Ludwig Büchner. (shrink)

Hermann von Helmholtz’s geometrical papers have been typically deemed to provide an implicitly group-theoretical analysis of space, as articulated later by Felix Klein, Sophus Lie, and Henri Poincaré. However, there is less agreement as to what properties exactly in such a view would pertain to space, as opposed to abstract mathematical structures, on the one hand, and empirical contents, on the other. According to Moritz Schlick, the puzzle can be resolved only by clearly distinguishing the empirical qualities of (...) spatial perception from those describable in terms of axiomatic geometry. This paper offers a partial defense of the group-theoretical reading of Helmholtz along the lines of Ernst Cassirer in the fourth volume of The Problem of Knowledge of 1940. In order to avoid the problem raised by Schlick, Cassirer relied on a Kantian view of space not so much as an object of geometry, but as a precondition for the possibility of measurement. Although the concept of group does not provide a description of space, the modern way to articulate the concept of space in terms of transformation groups reveals something about the structure and the transformation of spatial concepts in mathematical and natural sciences. (shrink)

The fact that the same equations or mathematical models reappear in the descriptions of what are otherwise disparate physical systems can be seen as yet another manifestation of Wigner's “unreasonable effectiveness of mathematics.” James Clerk Maxwell famously exploited such formal similarities in what he called the “method of physical analogy.” Both Maxwell and Hermann von Helmholtz appealed to the physical analogies between electromagnetism and hydrodynamics in their development of these theories. I argue that a closer historical examination of (...) the different ways in which Maxwell and Helmholtz each deployed this analogy gives further insight into debates about the representational and explanatory power of mathematical models. (shrink)

This paper will focus on a famous nineteenth century debate over the physiology of perception between Ewald Hering and Hermann von Helmholtz. This debate is often explained as a contest between empiricism (Helmholtz) and nativism (Hering) about perception. I will argue that this is only part of the picture. Hering was a pioneer of Lamarckian explanations, arguing for an early version of the biogenetic law. Hering explains physical processes, including perception, in terms of ‘organic memory’ that is (...) supported by ‘vital forces’ located throughout the body. Helmholtz, on the other hand, argues that vital forces are in direct conflict with the results he and others proved in the 1840s and 50s on the conservation of force. The battleground of the debate was the interpretation of Johannes Müller’s ‘law of specific nerve energies’, which Hering interpreted in terms of vital forces, and Helmholtz interpreted using a naturalized neo-Kantian approach. In the end, the debate revealed deep fissures in nineteenth century accounts of scientific explanation, as well as in the conception of how physiology, psychology, physics, and philosophy are related. (shrink)

In the second volume of the "Handbuch der physiologischen Optik", published in 1860, Helmholtz sets out a three-receptor theory of color vision using coterminal response curves, and shows that this theory can unify most phenomena of color mixing known at the time. Maxwell had publicized the same theory five years earlier, but Helmholtz barely acknowledges this fact in the "Handbuch". Some historians have argued that this is because Helmholtz independently discovered the theory around the same time as (...) Maxwell. This paper argues that this hypothesis is implausible. By writing what he did in the "Handbuch", Helmholtz influenced the field's perception of its own history. As a result, Helmholtz has received more recognition for his contributions to the field of color mixing than was his due, and Maxwell less. (shrink)

Hermann von Helmholtz allows for not only physiological facts and psychological inferences, but also perspectival reasoning, to influence perceptual experience and knowledge gained from perception. But Helmholtz also defends a version of the view according to which there can be a kind of “perspectival truth” revealed in scientific research and investigation. Helmholtz argues that the relationships between subjective and objective, real and actual, actual and illusory, must be analyzed scientifically, within experience. There is no standpoint outside (...) experience from which we can reason, no extra-sensory knowledge of the constitution of the “ideal subject” or of the properties of “real objects.” In the tradition of psychophysics inherited by Helmholtz, we can arrive at a kind of perspectival analysis of perceptual experience, which embeds an account of that experience within the context of the history and situation of the perceiving subject. That analysis is relative to the perceiving subject, but the perspectival explanations Helmholtz constructs are not thereby relativist: in fact, for Helmholtz, the more squarely the perceiving subject is placed in a scientific, perspectival context, the more facts we are able to learn about her experience and the objects with which she interacts. (shrink)

Review of: R. Steven Turner, In the Eye's Mind: Vision and the Helmholtz-Hering Controversy. xiv + 338 pp., frontis., illus., figs., tables, bibl., index. Princeton, N.J.: Princeton University Press, 1994.

David Hyder.The Determinate World: Kant and Helmholtz on the Physical Meaning of Geometry. viii + 229 pp., bibl., index. Berlin/New York: Walter de Gruyter, 2009.

Francesca Biagioli’s Space, Number, and Geometry from Helmholtz to Cassirer is a substantial and pathbreaking contribution to the energetic and growing field of researchers delving into the physics, physiology, psychology, and mathematics of the nineteenth and twentieth centuries. The book provides a bracing and painstakingly researched re-appreciation of the work of Hermann von Helmholtz and Ernst Cassirer, and of their place in the tradition, and is worth study for that alone. The contributions of the book go far (...) beyond that, however. It is a clear, accurate, and deep account of fascinating and philosophically momentous implications of the move to relativity theory. (shrink)

Maxwellian electrodynamics genesis is considered in the light of the author’s theory change model previously tried on the Copernican and the Einstein revolutions. It is shown that in the case considered a genuine new theory is constructed as a result of the old pre-maxwellian programmes reconciliation: the electrodynamics of Ampere-Weber, the wave theory of Fresnel and Young and Faraday’s programme. The “neutral language” constructed for the comparison of the consequences of the theories from these programmes consisted in the language of (...) hydrodynamics with its rich content of analogous models ranging from the uncompressible fluid up to molecular vortices. The programmes’ meeting led to construction of the whole hierarchy of crossbred objects beginning from the displacement current and up to common hybrids. After that the interpenetration of the pre-maxwellian programmes began that marked the beginning of theoretical schemes of optics and electromagnetism unification. Maxwell’s programme did assimilate some ideas of the Ampere-Weber programme, as well as the presuppositions of the programmes of Fresnel and Faraday; and the significance of this fact for further methodology of scientific research programmes development is discussed. It is argued that the core of Maxwell’s unification strategy was formed by Kantian epistemology looked through the prism of William Whewell and such representatives of Scottish Enlightenment as Thomas Reid and William Hamilton. All these enabled Maxwell to start to unify not only optics and electromagnetism, but British and continental research traditions as well. Maxwell’s programme did supersede the Ampere-Weber one because Maxwell did put forward as a synthetic principle the idea, that differed from that of Ampere-Weber by its flexible and contra-ontological, strictly epistemological, Kantian character. For Maxwell, ether was not the last building block of physical reality, from which fields and charges should be constructed . “Action at a distance”, “incompressible fluid”, “molecular vortices” were only analogies for Maxwell, capable to direct the researcher on the “right” mathematical relations. From the “representational” point of view all this hydrodynamical models were doomed to failure efforts to describe what can not be described in principle – things in themselves, the “nature” of electrical and magnetic phenomena. On the contrary, Maxwell aimed his programme to find empirically meaningful mathematical relations between the electrodynamics basic objects, i.e. the creation of inter - coordinated electromagnetic field equations system. Namely the application of this epistemology enabled Hermann von Helmholtz and his pupil Heinrich Hertz to arrive at such a version of Maxwell’s theory that served a heuristical basis for the radiowaves discovery. (shrink)

The Marburg neo-Kantians argue that Hermann von Helmholtz's empiricist account of the a priori does not account for certain knowledge, since it is based on a psychological phenomenon, trust in the regularities of nature. They argue that Helmholtz's account raises the 'problem of validity' (Gueltigkeitsproblem): how to establish a warranted claim that observed regularities are based on actual relations. I reconstruct Heinrich Hertz's and Ludwig Wittgenstein's Bild theoretic answer to the problem of validity: that scientists and philosophers (...) can depict the necessary a priori constraints on states of affairs in a given system, and can establish whether these relations are actual relations in nature. The analysis of necessity within a system is a lasting contribution of the Bild theory. However, Hertz and Wittgenstein argue that the logical and mathematical sentences of a Bild are rules, tools for constructing relations, and the rules themselves are meaningless outside the theory. Carnap revises the argument for validity by attempting to give semantic rules for translation between frameworks. Russell and Quine object that pragmatics better accounts for the role of a priori reasoning in translating between frameworks. The conclusion of the tale, then, is a partial vindication of Helmholtz's original account. (shrink)

RESUMO: O presente texto põe algumas questões referentes à “história” dos fundamentos da Psicologia entre os séculos XIX e XX, mostrando como ocorrem ainda, em História da Psicologia, certos fatores controversos, muitos deles tributários de postulados filosóficos do século XIX, especialmente em torno do positivismo. O artigo concentra-se em mostrar, preliminarmente, de que forma a ruptura da Filosofia Natural e a ascensão da figura do “cientista” no século XIX ensejaram novos motivos de análise, dentre eles certo cientificismo que se impôs (...) inclusive como chave de interpretação histórica. Após uma exposição inicial do problema – chamando a atenção também às consequências institucionais, da formação à profissão –, o artigo faz três breves estudos de caso – em torno de Fechner, Helmholtz e Wundt – e termina por defender perspectivas que abram a História da Psicologia a histórias mais alargadas, tais como a História da Filosofia e as Histórias das Ciências._ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ABSTRACT: The present work poses several questions concerning the history of Psychological’s foundations between 19th and 20th centuries, showing how there are still today certain controversial factors derived from 19th century philosophical postulates acting on the ways of describing psychology’s history, notably around positivism. The article concentrates in showing, in a preliminary way, how the rupture of Natural Philosophy of 18th century and the rise of the figure of the scientist in the 19th century gave rise to new analytical patterns, as well as a certain Scientism that tried to impose itself as the keystone to historical interpretation. The work begins with an initial exposition of the problem – calling into attention the institutional consequences as well, from the psychological common sense to professional issues -, and then analyzes three case studies - Gustav Fechner, Hermann von Helmholtz and Wilhelm Wundt – ending with the defense of perspectives that open the History of Psychology into another historical procedures, such as History of Philosophy and History of Sciences. (shrink)

The aim of this paper is to show that a comprehensive account of the role of representations in science should reconsider some neglected theses of the classical philosophy of science proposed in the first decades of the 20th century. More precisely, it is argued that the accounts of Helmholtz and Hertz may be taken as prototypes of representational accounts in which structure preservation plays an essential role. Following Reichenbach, structure-preserving representations provide a useful device for formulating an up-to-date version (...) of a (relativized) Kantian a priori. An essential feature of modern scientific representations is their mathematical character. That is, representations can be conceived as (partially) structure-preserving maps or functions. This observation suggests an interesting but neglected perspective on the history and philosophy of this concept, namely, that structure-preserving representations are closely related to a priori elements of scientific knowledge. Reichenbach’s early theory of a relativized constitutive but non-apodictic a priori component of scientific knowledge provides a further elaboration of Kantian aspects of scientific representation. To cope with the dynamic aspects of the evolution of scientific knowledge, Cassirer proposed a re-interpretation of the concept of representation that conceived of a particular representation as only one phase in a continuous process determined by pragmatic considerations. Pragmatic aspects of representations are further elaborated in the classical account of C.I. Lewis and the more modern of Hasok Chang. (shrink)

Hearing has traditionally been regarded as the second sense--as somehow less rational and less modern than the first sense, sight. Reason and Resonance explodes this myth by reconstructing the process through which the ear came to play a central role in modern culture and rationality. For the past four hundred years, hearing has been understood as involving the sympathetic resonance between the vibrating air and various parts of the inner ear. But the emergence of resonance as the centerpiece of modern (...) aurality also coincides with the triumph of a new type of epistemology in which the absence of resonance is the very condition of thought. Our mind's relationship to the world is said to rest on distance or, as the very synonym for reason suggests, reflection. Reason and Resonance traces the genealogy of this "intimate animosity" between reason and resonance through a series of interrelated case studies involving a varied cast of otologists, philosophers, physiologists, pamphleteers, and music theorists. Among them are the seventeenth-century architect-zoologist Claude Perrault, who refuted Cartesianism in a book on sound and hearing; the Sturm und Drang poet Wilhelm Heinse and his friend the anatomist Samuel Sömmerring, who believed the ventricular fluid to be the interface between the soul and the auditory nerve; the renowned physiologist Johannes Müller, who invented the concept of "sense energies"; and Müller's most important student, Hermann von Helmholtz, author of the magisterial Sensations of Tone. Erlman also discusses key twentieth-century thinkers of aurality, including Ernst Mach; the communications engineer and proponent of the first nonresonant wave theory of hearing, Georg von Békésy; political activist and philosopher Günther Anders; and Martin Heidegger. (shrink)

It is exhibited that maxwellian electrodynamics grew out of the old pre-maxwellian programmes reconciliation: the electrodynamics of Ampere-Weber, the wave theory of Young-Fresnel and Faraday’s scientific research programme. The programmes’ meeting led to construction of the whole hierarchy of theoretical objects starting from the genuine crossbreeds (the displacement current) and up to usual mongrels. After the displacement current invention the interpenetration of the pre-maxwellian programmes began that marked the beginning of theoretical schemes of optics and electromagnetism real unification. Maxwell’s programme (...) did supersede its rivals because it had assimilated some ideas of the Ampere-Weber programme, as well as the presuppositions of the programmes of Young-Fresnel and Faraday. Maxwellian programme’s victory over its rivals became possible because the core of Maxwell’s unification strategy was formed by Kantian epistemology looked through the prism of William Whewell and such representatives of Scottish Enlightenment as Thomas Reid and William Hamilton. It was Kantian epistemology that enabled Hermann von Helmholtz and Heinrich Hertz to arrive at such a version of Maxwell’s theory that could serve a heuristical basis for the radio waves discovery. (shrink)

Werner Heisenberg hat einen wichtigen, noch nicht hinreichend untersuchten Beitrag zum Wandel des neuzeitlichen Wissenschaftsverständnisses geleistet. Der Wandel führte von der Charakterisierung des wissenschaftlichen Wissens als sichere Erkenntnis zu seiner - heute weithin anerkannten - Charakterisierung als bloß hypothetische Erkenntnis. Anfänge dieses Wandlungsprozesses lassen sich im 19. Jahrhundert nachweisen (z.B. bei John Hersehel, William Whewell oder Hermann von Helmholtz). Ich möchte am Beispiel von Heisenberg der Frage nachgehen, welchen Einfluss die Begründung der Quantenmechanik, die seine Wissenschaftsauffassung prägte, auf (...) den Prozess der Relativierung von Geltungsansprüchen hatte. Meine Vermutung ist, dass eine entscheidende Rolle hierbei weniger dem Wahrscheinlichkeitsbegriff als vielmehr dem Wahrheits- und Realitätsbegriff zukam. Ich werde als erstes den historischen Prozess der Hypothetisierung von Geltungsansprüchen, zu dem ich Heisenbergs Konzeption ins Verhältnis setzen möchte, charakterisieren. Anschließend rekonstruiere ich Heisenbergs Konzeption, soweit sie sich seinen populären Reden und Aufsätzen entnehmen lässt. Als drittes werde ich ihre Wirkungsgeschichte kurz ansprechen und sie mit Wissenschaftsauffassungen vergleichen, die die Bedeutung des Hypothetischen für die modernen Theorien der Naturwissenschaften betonen. Ihnen gegenüber erweist sich Heisenbergs Beitrag als durchaus eigenständig. (shrink)

This essay illustrates the main aspects of the discussion between Brentano and Stumpf about «tonal fusion». In his Tonpsychologie, Stumpf essentially moved from a Brentanian standpoint. Yet, he did not adopt Brentano’s subsequently developed new theory of «sensible qualities», so that a polemic eventually arouse between them. Far from representing a marginal issue, the episode is relevant to our understanding of their relationship. The discussion as to the mechanism of tonal fusion reveals a general divergence between Brentano and Stumpf concerning (...) the idea of human sensibility as a whole and of the method of psychology. (shrink)

The essay brings a summation of human efforts seeking to understand our existence. Plato and Kant & cognitive science complete reduction of philosophy to a neural mechanism, evolved along elementary Darwinian principles. Plato in his famous Cave Allegory explains that between reality and our experience of it there exists a great chasm, a metaphysical gap, fully confirmed through particle-wave duality of quantum physics. Kant found that we have two kinds of perception, two senses: By the spatial outer sense we perceive (...) phenomena, objects in space. Our temporal inner sense lets us perceive our inner state, noumena . Kant's two senses are fully confirmed through bilateral brain duality of cognitive science. The bilateral brain serves inner, temporal sense, logic & noumena in the left hemisphere. The right brain half is for the outer, spatial sense, geometry & phenomena. We form a whole system, a bilateral interior cosmos, a kind of world model, expressing what may lie beyond the metaphysical gap. In the right brain we build a phenomenal cosmos, to resemble the outer environment. In the brain's left hemisphere a noumenal cosmos, a model of our private world including Saint Teresa of Avila's castillo interior. The cosmos is regularly updated with novel sense data integrated into our memory banks. This was recognized early by Helmholtz (1860s). Our lives, health & well-being depend on us keeping our interior cosmos in good order. This used to be seen as saving one's precious soul from perdition. While we endeavour to keep our phenomenal cosmos neat & orderly by protecting the environment from harm, our noumenal cosmos to be livable requires us to engage in ethical conduct. This bilateral cosmos is responsible for our common sense judgment power, that we depend on for being able to lead a good & benign life. The 200 million neurons of BA10 in the prefrontal lobe have global access to the interior cosmos, & apply massive feedback to identify environmental conditions rapidly. The global access also gives conscious presence of the individual to itself, all that is present in the interior cosmos, for total freedom of action. In the left brain private ego, we are guarded by faith in divine mercy, & guided to choose the best course of action, able to survive under the most adverse conditions. For this, we receive directions from the Holy Ghost in Saint Teresa's castillo interior. (shrink)

Precision medicine and molecular systems medicine (MSM) are highly utilized and successful approaches to improve understanding, diagnosis, and treatment of many diseases from bench-to-bedside. Especially in the COVID-19 pandemic, molecular techniques and biotechnological innovation have proven to be of utmost importance for rapid developments in disease diagnostics and treatment, including DNA and RNA sequencing technology, treatment with drugs and natural products and vaccine development. The COVID-19 crisis, however, has also demonstrated the need for systemic thinking and transdisciplinarity and the limits (...) of MSM: the neglect of the bio-psycho-social systemic nature of humans and their context as the object of individual therapeutic and population-oriented interventions. COVID-19 illustrates how a medical problem requires a transdisciplinary approach in epidemiology, pathology, internal medicine, public health, environmental medicine, and socio-economic modeling. Regarding the need for conceptual integration of these different kinds of knowledge we suggest the application of general system theory (GST). This approach endorses an organism-centered view on health and disease, which according to Ludwig von Bertalanffy who was the founder of GST, we call Organismal Systems Medicine (OSM). We argue that systems science offers wider applications in the field of pathology and can contribute to an integrative systems medicine by (i) integration of evidence across functional and structural differentially scaled subsystems, (ii) conceptualization of complex multilevel systems, and (iii) suggesting mechanisms and non-linear relationships underlying the observed phenomena. We underline these points with a proposal on multi-level systems pathology including neurophysiology, endocrinology, immune system, genetics, and general metabolism. An integration of these areas is necessary to understand excess mortality rates and polypharmacological treatments. In the pandemic era this multi-level systems pathology is most important to assess potential vaccines, their effectiveness, short-, and long-time adverse effects. We further argue that these conceptual frameworks are not only valid in the COVID-19 era but also important to be integrated in a medicinal curriculum. (shrink)

In the present paper we discuss: a) how Hilbert’s unification program failed completely, and b) we outline a new electron model based on Helmholtz’s electron vortex and Kolmogorov theory of turbulence. Novelty aspect: we discuss among other things, electron capture event, and von Karman vortex street. We also discuss a new model of origination of charge and matter. This paper is a sequel to a preceding paper on similar theme.

Hermanns Lotze (1817–1881) hat nachweislich einige der bedeutendsten Philosophen des fin de siècle beeinflusst: (i) die britischen „Neo-Hegelianer“; (ii) Husserls Phänomenologie; (iii) Diltheys Philosophie des Lebens; (iv) die Neukantianer; (v) die frühere analytische Philosophie. Das angegebene Ziel seines dreibändigen Mikrokosmos (1856–1864) war „die Reflexion über den Sinn unseres menschlichen Daseins“. Die Aktualität dieser Aufgabe war eine Folge der wissenschaftlichen und industriellen Revolution Mitte des 19. Jahrhunderts. Sie veränderte die Art, wie sich die Menschen das Universum vorstellten. Lotze sah Gefahr in (...) den zahlreichen Versuchen seitens einiger philosophisch interessierter Wissenschaftler in Deutschland, zu beweisen, dass das menschliche Sein nur mechanisch und materialistisch zu verstehen ist. Er machte es sich zur Aufgabe, den Menschen das Gefühl von Heimat in dieser stark veränderten Welt zurückzugeben. Dies erklärt auch, wieso Lotze seine Untersuchung in „völlig populärer Form“ darstellte. Lotzes Mikrokosmos war jedoch nicht nur ein Werk der populären Philosophie. Sie fußt auf fundierten theoretischen Überlegungen. Man kann Lotzes Werk als einen gewagten Versuch betrachten, die sich abzeichnende Spaltung zwischen akademischer und populärer Philosophie zu überwinden. (shrink)

Die Psychologie hat sich im zweiten Viertel des 19. Jahrhunderts langsam zu einer autonomen Disziplin entwickelt. Im Unterschied zu den anderen Figuren in dieser Entwicklung, Johann Friedrich Herbart, Ernst Heinrich Weber und Gustav Theodor Fechner, hat Lotze in seiner Medicinische Psychologie (1852) von Anfang an die neue Disziplin, die Psychologie, konsequent in enger Verbindung mit der Philosophie entwickelt. Damit hat er die Hoffnung gebremst, die Psychologie völlig experimentellen Untersuchungen zu überlassen, die um diese Zeit schon viele gepflegt haben. Lotze scheute (...) sich jedoch, diese Disziplin „philosophische Psychologie“ zu benennen. Sie war für ihn nur physiologische Psychologie, herausarbeitet mit Hilfe der Philosophie. Sie stellt nur Tatsachen fest, untersucht wie Körper und Seele sich zueinander verhalten und dies nicht nur empirisch, sondern auch „metaphysisch“. (shrink)

This paper argues that the ‘scientific dispute’ between Hermann Cohen and Rudolf Stammler is symptomatic of a philosophical movement of left-wing Kant interpretations at the turn of the twentieth century. By outlining influential predecessors that shaped Cohen’s and Stammler’s thinking, I show that their Kantian justifications of socialism differ regarding their conception of law, history, and the political implications that follow from their practical philosophies. Against scholars who suggest that the Marburg School’s view on socialism was a coherent school (...) of thought, I introduce the concept of ‘left-Kantianism’ as an open term that includes a wide variety of novel socialist approaches to Kant at the time. (shrink)

Der Aufsatz wurde zum Anlass des 25. Todestages von Hermann Buddensieg geschrieben. Es wird bestrebt an, die Gestalt dieses Übersetzers, Dichters, Literaturforschers, Philosophen und Publizisten zu erinnern. Es ist ein Versuch, die bisherigen Forschungsergebnisse zu sammeln und unser Wissen über die Aktivität eines Menschen zu ordnen, der in der Geschichte der Aufnahme der polnischen Literatur und Kultur in Deutschland eine Sonderstellung hat. Eine besondere Bedeutung wird seiner kongenialen Übertragung von Pan Tadeusz, seinem Vorsitz bei dem Mickiewicz-Gremium und der Redaktion (...) der „Mickiewicz-Blätter” zu geschrieben. (shrink)

Commentaires sur le débat nativisme-empirisme au XIXe siècle et la théorie des signes locaux de Lotze.

This paper offers some brief reflections on pragmatist themes in Georg Simmel’s philosophy. §1 presents a number of assessments – by Simmel’s contemporaries, by later interpreters, and by Simmel himself – concerning his proximity to pragmatism. §2 offers a reconstruction of Simmel’s 1885-paper “The Relationship between the Theory of Selection and Epistemology,” focusing in particular on what the argument owed to von Helmholtz. It was this paper first and foremost that suggested to many that Simmel was close to pragmatism. (...) §§3-5 follow the development of the core idea of the 1885-paper in Simmel’s subsequent writings. §§6-8 compare and contrasts Simmel’s views on evolution and truth with the positions of Peirce, James, and Dewey. §9 returns to the overall question whether Simmel was a pragmatist and offers an irenic answer. (shrink)

This paper argues that Frege's notoriously long commitment to Kant's thesis that Euclidean geometry is synthetic _a priori_ is best explained by realizing that Frege uses ‘intuition’ in two senses. Frege sometimes adopts the usage presented in Hermann Helmholtz's sign theory of perception. However, when using ‘intuition’ to denote the source of geometric knowledge, he is appealing to Hermann Cohen's use of Kantian terminology. We will see that Cohen reinterpreted Kantian notions, stripping them of any psychological connotation. (...) Cohen's defense of his modified Kantian thesis on the unique status of the Euclidean axioms presents Frege's own views in a much more favorable light. (shrink)

Review of THEO C. MEYERING, Historical Roots of Cognitive Science : The Rise of a Cognitive Theory of Perception from Antiquity to the Nineteenth Century. Boston: Kluwer, xix + 250 pp. $69.00. Examines the author's interpretation of Aristotelian theories of perceptual cognition, early modern theories, and Helmholtz's theory.

Die Natur ist als Thema in der Phänomenologie von Husserl bis zu Schmitz wenig bearbeitet worden. Der Grund ist teilweise in der respektvollen oder auch kritischen Distanz vieler Phänomenologen zur Naturwissenschaft zu suchen, teils darin, dass es auf dem Feld der Selbstgegebenheit - Leib, Gefühl, zwischenmenschliche Beziehungen - zunächst die eigentlichen Entdeckungen zu machen galt. Selbst die Leibphilosophie wurde nicht als ein Teil einer Phänomenologie der Natur entwickelt. Doch ist der Leib nicht die Natur, die wir selbst sind? Im vorliegenden (...) Band unternehmen Forscher verschiedener Herkunft die gemeinsame Anstrengung, mit dem Thema Natur der Phänomenologie ein neues Forschungsfeld zu eröffnen. Dabei wird nicht nur an die phänomenologische Bewegung angeknüpft, sondern auch an aristotelische goethische Naturwissenschaft, soweit sie als phänomenologisch betrachtet werden kann. Damit wird die Absicht verfolgt, die Phänomenologie der Natur als eine alternative Erkenntnisweise im Unterschied zur herrschenden naturwissenschaftlich-technischen zu entwickeln. Nach der Entfaltung des Programms wird zunächst die goethische Naturwissenschaft als ein Paradigma von Naturphänomenologie dargestellt. Dann werden die Beiträge aus der phänomenologischen Bewegung (Husserl, Klages, Schmitz) durchmustert. Und schließlich werden Fallbeispiele gegenwärtiger phänomenologischer Erforschung der Natur vorgeführt. Dabei geht es einerseits um Beiträge von seiten goetheanischer Wissenschaft (Botanik und Wärmelehre), andererseits um Beispiele, die im Rahmen der Naturphilosophie entstanden sind (Phänomenologie von Wind und Wetter, Phänomenologie des eigenen Leibes als Natur, Phänomenologie der Stoffe). (shrink)

The ancient Greeks already used to give ethnic names to their different scales, and observations on differences in music of the various nations always raised the interest of musicians and philosophers. Yet, it was only in the late nineteenth century that “comparative musicology” became an institutional science. An important role in this process was played by Carl Stumpf, a former pupil of Brentano’s who pioneered these researches in Berlin. Stumpf founded the Phonogrammarchiv to collect recordings of folk and extra-European music (...) and a dedicated journal, the Sammelbände für vergleichende Musikwissenschaft. Gifted in the field of science no less than in that of musicology, Stumpf developed an empirically-oriented approach to phenomenology, deeply divergent from Husserl’s and highly influential over the Berlin school of Gestalt psychology. A self-declared “outsider” among armchair philosophers, Stumpf experimentally investigated the perception of sounds and the origins of musical consonance. Developing the physiological studies of Ernst Weber on the sense of touch, Stumpf discovered that two sensations of tone, given at the same time, tend to mix in a certain degree. Musical consonance – he claimed – lays in this level of “tonal fusion”, not in the allegedly “natural” series of the harmonic partials of a vibrating chord, as suggested by the naturalists of all times from Pythagoras to Stumpf’s great contemporary Hermann Helmholtz. Accordingly, no musical system can claim for preponderance over the others: Stumpf’s researches in comparative musicology served to corroborate his theses on “tonal fusion” and the psychological foundations of consonance. Although Stumpf later revised and finally abandoned this theory, its permanent value lays in its opposition to dominant naturalistic approaches. The commitment for comparative musicology at the Berlin School is then no concession to a positivistic fashion for exoticism. The fundamentally Eurocentric stance of naturalistic theories of music is also fiercely contrasted by Stumpf’s pupil Erich Hornbostel, who suggests that music ought to be considered as culture, rather than as nature, and focuses attention on the eventually melting human cultures. The Berlin school flourished until the Nazis forced most of its exponents to emigration and, for tragically obvious reasons, heavily discouraged researches on these topics. (shrink)

This paper aims to show that Frege’s and Hilbert’s mutual disagreement results from different notions of Anschauung and their relation to axioms. In the first section of the paper, evidence is provided to support that Frege and Hilbert were influenced by the same developments of 19th-century geometry, in particular the work of Gauss, Plücker, and von Staudt. The second section of the paper shows that Frege and Hilbert take different approaches to deal with the problems that the developments in 19th-century (...) geometry posed for the traditional Kantian philosophy of mathematics. Frege maintains that Anschauung is a source of knowledge by which we acknowledge geometrical axioms as true. For Hilbert, in contrast, axioms provide one of several correct “pictures” of reality. Hilbert’s position is thereby deeply influenced by epistemological ideas from Hertz and Helmholtz, and, in turn, influenced the neo-Kantian Cassirer. (shrink)

Puzio, Anna: Zeig mir deine Technik und ich sag dir, wer du bist? Was Technikanthropologie ist und warum wir sie dringend brauchen. In: Diebel-Fischer, Hermann/Kunkel, Nicole/Zeyher-Quattlender, Julian (Hg.): Mensch und Maschine im Zeitalter "Künstlicher Intelligenz". Theologisch-ethische Herausforderungen. LIT 2023. -/- Abstract: Der Aufsatz untersucht das vielschichtige Verhältnis von Mensch und Technik und plädiert für eine Technikanthropologie. Wie schon Gernot Böhme für die Technikphilosophie diagnostiziert hat, gibt es die Technikanthropologie „faktisch [ . . . ] nämlich mit einschlägigen Publikationen, Curricula (...) und Lehrstühlen“ und doch scheint es „kein überzeugendes Paradigma“ der Technikanthropologie und keine Technikanthropologie als voll entwickelte Disziplin oder Denkrichtung zu geben. Der Beitrag trägt zur Profilierung der Technikanthropologie bei. Es werden Aufgaben der Technikanthropologie herausgestellt, neue Ansätze vorgestellt und wegweisende Perspektiven für eine theologische Technikanthropologie entwickelt. Im ersten Schritt wird in Abschnitt 1 in die Technikanthropologie eingeführt. Es erfolgen die Einordnung technikanthropologischer Konzepte und die Erklärung wichtiger Begriffe. Anschließend wird in Abschnitt 2 das Verhältnis von Mensch und Maschine/Technik reflektiert und verdeutlicht, wie beide im Verhältnis zueinander neu ausgehandelt werden. Es wird gegen ein vorgängiges Verständnis sowohl desMenschen als auch derMaschine/Technik plädiert und auf die jahrhundertelangen Einschreibungen in die Vorstellungen von beiden hingewiesen. Zeig mir deine Technik und ich sag dir, wer du bist? Abschnitt 3 führt aus, wie Technik Mensch und Körper verändert und mitbestimmt, wasMensch und Körper bedeuten. In diesem Kontext wird bereits die Notwendigkeit einer Neukonzeption von Technikanthropologie deutlich. Abschnitt 4 zeigt, anhand zweier Ansätze, neue Wege der Technikanthropologie auf: einen radikalen Neuentwurf des Menschen durch Donna Haraway und des Sozialen durch Bruno Latour. Schließlich werden in Abschnitt 5 Perspektiven für eine konkrete theologische Technikanthropologie entwickelt. Gerade der anthropologische Zugang zur Technik wird sich als wichtiger Zugang der Theologie zum Technikdiskurs erweisen. (shrink)

Non-commuting quantities and hidden parameters – Wave-corpuscular dualism and hidden parameters – Local or nonlocal hidden parameters – Phase space in quantum mechanics – Weyl, Wigner, and Moyal – Von Neumann’s theorem about the absence of hidden parameters in quantum mechanics and Hermann – Bell’s objection – Quantum-mechanical and mathematical incommeasurability – Kochen – Specker’s idea about their equivalence – The notion of partial algebra – Embeddability of a qubit into a bit – Quantum computer is not Turing machine (...) – Is continuality universal? – Diffeomorphism and velocity – Einstein’s general principle of relativity – „Mach’s principle“ – The Skolemian relativity of the discrete and the continuous – The counterexample in § 6 of their paper – About the classical tautology which is untrue being replaced by the statements about commeasurable quantum-mechanical quantities – Logical hidden parameters – The undecidability of the hypothesis about hidden parameters – Wigner’s work and и Weyl’s previous one – Lie groups, representations, and psi-function – From a qualitative to a quantitative expression of relativity − psi-function, or the discrete by the random – Bartlett’s approach − psi-function as the characteristic function of random quantity – Discrete and/ or continual description – Quantity and its “digitalized projection“ – The idea of „velocity−probability“ – The notion of probability and the light speed postulate – Generalized probability and its physical interpretation – A quantum description of macro-world – The period of the as-sociated de Broglie wave and the length of now – Causality equivalently replaced by chance – The philosophy of quantum information and religion – Einstein’s thesis about “the consubstantiality of inertia ant weight“ – Again about the interpretation of complex velocity – The speed of time – Newton’s law of inertia and Lagrange’s formulation of mechanics – Force and effect – The theory of tachyons and general relativity – Riesz’s representation theorem – The notion of covariant world line – Encoding a world line by psi-function – Spacetime and qubit − psi-function by qubits – About the physical interpretation of both the complex axes of a qubit – The interpretation of the self-adjoint operators components – The world line of an arbitrary quantity – The invariance of the physical laws towards quantum object and apparatus – Hilbert space and that of Minkowski – The relationship between the coefficients of -function and the qubits – World line = psi-function + self-adjoint operator – Reality and description – Does a „curved“ Hilbert space exist? – The axiom of choice, or when is possible a flattening of Hilbert space? – But why not to flatten also pseudo-Riemannian space? – The commutator of conjugate quantities – Relative mass – The strokes of self-movement and its philosophical interpretation – The self-perfection of the universe – The generalization of quantity in quantum physics – An analogy of the Feynman formalism – Feynman and many-world interpretation – The psi-function of various objects – Countable and uncountable basis – Generalized continuum and arithmetization – Field and entanglement – Function as coding – The idea of „curved“ Descartes product – The environment of a function – Another view to the notion of velocity-probability – Reality and description – Hilbert space as a model both of object and description – The notion of holistic logic – Physical quantity as the information about it – Cross-temporal correlations – The forecasting of future – Description in separable and inseparable Hilbert space – „Forces“ or „miracles“ – Velocity or time – The notion of non-finite set – Dasein or Dazeit – The trajectory of the whole – Ontological and onto-theological difference – An analogy of the Feynman and many-world interpretation − psi-function as physical quantity – Things in the world and instances in time – The generation of the physi-cal by mathematical – The generalized notion of observer – Subjective or objective probability – Energy as the change of probability per the unite of time – The generalized principle of least action from a new view-point – The exception of two dimensions and Fermat’s last theorem. (shrink)

I demonstrate that Bell's theorem is based on circular reasoning and thus a fundamentally flawed argument. It unjustifiably assumes the additivity of expectation values for dispersion-free states of contextual hidden variable theories for non-commuting observables involved in Bell-test experiments, which is tautologous to assuming the bounds of ±2 on the Bell-CHSH sum of expectation values. Its premises thus assume in a different guise the bounds of ±2 it sets out to prove. Once this oversight is ameliorated from Bell's argument by (...) identifying the impediment that leads to it and local realism is implemented correctly, the bounds on the Bell-CHSH sum of expectation values work out to be ±2√2 instead of ±2, thereby mitigating the conclusion of Bell's theorem. Consequently, what is ruled out by any of the Bell-test experiments is not local realism but the linear additivity of expectation values, which does not hold for non-commuting observables in any hidden variable theories to begin with. I also identify similar oversight in the GHZ variant of Bell's theorem, invalidating its claim of having found an inconsistency in the premisses of the argument by EPR for completing quantum mechanics. Conceptually, the oversight in both Bell's theorem and its GHZ variant traces back to the oversight in von Neumann's theorem against hidden variable theories identified by Grete Hermann in the 1930s. (shrink)