A new form of skepticism is described, which holds that objectivity and understanding are incompossible ideals of modern science. This is attributed to Weyl, hence its name: Weylean skepticism. Two general defeat strategies are then proposed, one of which is rejected.

Hermann Weyl was one of the most important figures involved in the early elaboration of the general theory of relativity and its fundamentally geometrical spacetime picture of the world. Weyl’s development of “pure infinitesimal geometry” out of relativity theory was the basis of his remarkable attempt at unifying gravitation and electromagnetism. Many interpreters have focused primarily on Weyl’s philosophical influences, especially the influence of Husserl’s transcendental phenomenology, as the motivation for these efforts. In this article, I (...) argue both that these efforts are most naturally understood as an outgrowth of the distinctive mathematical-physical tradition in Göttingen and also that phenomenology has little to no constructive role to play in them. (shrink)

Brouwer’s intuitionism was a far-reaching attempt to reform the foundations of mathematics. While the mathematical community was reluctant to accept Brouwer’s work, its response to later-developed brands of intuitionism, such as those presented by Hermann Weyl and Arend Heyting, was different. The paper accounts for this difference by analyzing the intuitionistic versions of Brouwer, Weyl, and Heyting in light of a two-tiered model of the body and image of mathematical knowledge. Such a perspective provides a richer account (...) of each story and points to a possible connection between the community’s reaction and the changes each mathematician had proposed. (shrink)

Grete Hermann’s essay “Die naturphilosophischen Grundlagen der Quantenmechanik” has received much deserved scholarly attention in recent years. In this paper, I follow the lead of Elise Crull who sees in Hermann’s work the general outlines of a neo-Kantian interpretation of quantum theory. In full support of this view, I focus on Hermann’s central claim that limited spatio-temporal, and even analogically causal, representations of events exist within an overall relational structure of entangled quantum mechanical states that defy any (...) unified spatio-temporal description. In my view, Hermann also advances an important transcendental argument that perspectival spatio-temporal representations of nature have their foundations in general relational networks that are not spatio-temporal. The key point is that the adoption of a perspectival system within the general network induces the representation but only for that context. These ideas are consistent with a perspectival subject–object principle in Kant and also with Weyl’s work on Lie groups and their representations. (shrink)

This paper for an upcoming journal volume examines Grete Hermann's Naturphilosophischen Grundlagen der Quantenmechanik (1935) and the relative context, or perspectival, interpretation of standard quantum mechanics found therein. I find an argument for the emergence of limited spatio-temporal and retrocausal stories, from a chosen experimental perspective, within a larger set of entangled systems not subject to a spatio-temporal interpretation. This argument can be read in reverse as giving some of the necessary preconditions of spatio-temporal representations as based upon perspectival (...) relations, carrying on a Kantian transcendental argument on one hand, and on the other hand, looking forward to Weyl's use of symmetry groups, Lie algebras and their representations in quantum mechanics. (shrink)

One of the key episodes of history of modern physics – Paul Dirac’s startling contrivance of the relativistic theory of the electron – is elicited in the context of lucid epistemological model of mature theory change. The peculiar character of Dirac’s synthesis of special relativity and quantum mechanics is revealed by comparison with Einstein’s sophisticated methodology of the General Relativity contrivance. The subtle structure of Dirac’s scientific research program and first and foremost the odd principles that put up its powerful (...) heuristics is scrutinized with special emphasis on the highly controversial tenet of “mathematical beauty.” It is contended that despite the relentless Dirac’s remarks denigrating the controversial role of philosophy one can trace its indirect influence through Arthur Eddington’s and Hermann Weyl’s whimsical mathematical models. Accordingly, the milestones of Dirac’s research programme realization in the distinctive context of the applied epistemological doctrine are indicated. (shrink)

We often speak of 'Eastern' and 'Western' philosophy, yet it is not always easy to distinguish the key factors that justify this distinction. This essay explores the two very different conceptions of the continuum that underlie these traditions of thought and knowledge. The views of Hermann Weyl are given and it is proposed they are correct. Attention is drawn to the mutually-exclusive visions of the continuum that separate the philosophies of East and West, for they offer us a (...) way of pinning down a definition of these vague geographical terms so as to give them, in at least one respect, a clear philosophical and scientific meaning. (shrink)

General Relativity generated various early philosophical interpretations. His adherents have highlighted the "relativization of inertia" and the concept of simultaneity, Kantians and Neo-Kantians have underlined the approach of certain synthetic "intellectual forms" (especially the principle of general covariance, and logical empirics have emphasized the philosophical methodological significance of the theory. Reichenbach approached the GR through the "relativity of geometry" thesis, trying to build a "constructive axiomatization" of relativity based on "elementary matters of fact" (Elementartatbestande) for the observable behavior of light (...) rays, rods and clocks. The mathematician Hermann Weyl attempted a reconstruction of Einstein's theory based on the epistemology of a "pure infinitesimal geometry", an extended geometry with additional terms that formally identified with the potential of the electromagnetic field. DOI: 10.13140/RG.2.2.11641.93281. (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)

In this essay, our goal is to discover science in Martin Heidegger's Introduction to Metaphysics, lecture notes for his 1935 summer semester course, because, after all, his subject is metaphysica generalis, or ontology, and this could be construed as a theory of the human brain. Here, by means of verbatim quotes from his text, we attempt to show that indeed these lectures can be viewed as suggestion for an objective scientific theory of human perception, the human capacity for deciphering phenomena, (...) ie. hermeneutics in its broadest sense. His added notes from the 1953 edition, all of which are comments, not corrections, imply that he never abandoned these thoughts on metaphysics, despite all of his utterances about a need to overcome it, and their popular interpretations to that effect. In his presentation, he further develops the colorful and intuitive style, an hermeneutic language, that he had created in his earlier work Being and Time. Of human existence he speaks in such expressions as being-there -- ``Dasein" -- and being-in-the-world, the latter term no longer explicit in the 1935 lectures. The lectures can be read as a pre-scientific analysis of how man, being-there, perceives his environment, artfully managing to deal with the manifold challenges posed by the phenomenal structures of the universe. Man attentively recognizes and deciphers their pre-linguistic contents and, while trying to make sense of it all, puts into words his awareness. There are numerous passages in Heidegger's work where he in fairly concrete terms provides us with hints for a perceptive science that, as it turns out and is demonstrated below in this essay, can be explained in terms of recent advances in neuroscience. It would be implausible, even unthinkable, unimaginable, for there not to be found essential agreement between on one hand his philosophical insights gained by hermeneutics of Dasein, into how our brain functions to let us know what's happening & on the other hand, scientific discoveries obtained through anatomy, EEG, fMRI, TMS, electrode implants, etc, of brain structures & functions employed in perception of the momentary scene. A nexus between science and philosophy is provided in Heidegger's definitive treatment of the Logos, here interpreted as a structural version of Platonic forms (Burchard, 2014). This allows for neurolinguistic brain functions to serve as meta-context for Heidegger's being-in-the-world. The logical functions of Dasein's anatomical brain are performed by the logos machine, formerly the human soul, using top-down processing based on a global context, the noumenal cosmos which humans maintain internally. Heidegger's 1942/43 winter semester lectures Parmenides extend in unbroken fashion his 1935 work, proving that he never abandoned, as is widely claimed, his metaphysical avenue of thought. (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)

Conscious existence is the product of a neural brain mechanism, which is largely identical with Immanuel Kant's Oneness Function, a service performed by 200 million neurons in the prefrontal lobe, & makes possible our interior cosmos, the record of our interconnected, or general, experience. Essential for us humans is the well-being of our interior cosmos, or Saint Teresa of Avila's interior castle, in all interactions with each other \& the greater environment. Any disorders of our cosmos are liable to make (...) us fall ill, setting our existence on a path of psychosomatic etiology of a large class of mysterious undiagnosed diseases. (shrink)

From the earliest times, American ethics, the rules for the moral \& intellectual life of the West, used to be founded upon the two principles of self-reliance and good neighborliness. Here we consider the underlying functions of neural brain circuits, organic structures that have evolved adaptively by Darwinian rules subject to selection pressure. In the left brain resides our self-reliant private Ego, making plans, launching initiatives. Your public Ego dwells in the right brain, looking around, meeting with your friendly neighbor. (...) A main component is our bilateral interior cosmos, providing us with all the detailed information about our environment as well as the universe at large. (shrink)

Recent advances in neuroscience lead to a wider realm for philosophy to include the science of the Darwinian-evolved computational brain, our inner world producing organ, a non-recursive super- Turing machine combining 100B synapsing-neuron DNA-computers based on the genetic code. The whole system is a logos machine offering a world map for global context, essential for our intentional grasp of opportunities. We start from the observable contrast between the chaotic universe vs. our orderly inner world, the noumenal cosmos. So far, philosophy (...) has been rehearsing our thoughts, our human-internal world, a grand painting of the outer world, how we comprehend subjectively our experience, worked up by the logos machine, but now we seek a wider horizon, how humans understand the world thanks to Darwinian evolution to adapt in response to the metaphysical gap, the chasm between the human animal and its environment, shaping the organism so it can deal with its variable world. This new horizon embraces global context coded in neural structures that support the noumenal cosmos, our inner mental world, for us as denizens of the outer environment. Kant’s inner and outer senses are fundamental ingredients of scientific philosophy. Several sections devoted to Heidegger, his lizard debunked, but his version of the metaphysical gap & his doctrine of the logos praised. Rorty and others of the behaviorist school discussed also. (shrink)

Origin of the Yellowstone hotspot & Columbia River Basalts has remained uncertain until now. Here, we present evidence of meteorite impact origin. The hotspot is shallow, only 200 km deep, invalidating a theory of mantle plume origin. The hotspot track runs from the Yellowstone National Park in NW Wyoming to the volcanic Modoc Plateau in NE California. We present evidence of apparent remnants of an impact crater existing in the Modoc, a large multi-ring structure at least 160 km diameter. Much (...) of the complex crater has become obliterated by later Cascadia and Sierra orogenies. The crater has a tall 4,100 foot central uplift cone, locally known as Chalk Mountain, consisting of diatomaceous earth, presumably the rebound cone of a meteorite impact. This falsifies a theoretical prohibition of cosmic impact volcanism. Based on recent insights into explosive volcanism a plausible mechanism is proposed for how meteorite impacts can lead to resurgent calderas of the Yellowstone type, & of apparent LIP origin from thin crust ET impacts, invalidating theoretical constructs of mantle plumes. We mention chaotic terrains, including plutons, arising antipodal to impacts. (shrink)

Georg Cantor's absolute infinity, the paradoxical Burali-Forti class Ω of all ordinals, is a monstrous non-entity for which being called a "class" is an undeserved dignity. This must be the ultimate vexation for mathematical philosophers who hold on to some residual sense of realism in set theory. By careful use of Ω, we can rescue Georg Cantor's 1899 "proof" sketch of the Well-Ordering Theorem––being generous, considering his declining health. We take the contrapositive of Cantor's suggestion and add Zermelo's choice function. (...) This results in a concise and uncomplicated proof of the Well-Ordering Theorem. (shrink)

Studie se zabývá tím, jak se v českých zemích obráželo bouřlivé období vývoje biologického myšlení od přelomu 19. a 20. století do první světové války, kdy vedle sebe existovaly velmi různé názory na evoluci. Mnohovrstevnatost teoretickou přitom doplňuje i kulturní a vědecká mnohovrstevnatost českých zemí, kde se jednak mísí vlivy německé a české biologie na svých autonomních institucích, a jednak lze spatřovat rozdíly i mezi lokálními centry Prahou a Brnem se svými badatelskými tradicemi a nezávislými vazbami na další centra ve (...) Vídni a evropských univerzitách. Centrem zájmu jsou teoreticky uvažující biologové, kteří buď sami dlouhodobě profilovali české biologické myšlení, anebo na něj měli díky zdejšímu působení přímý vliv. V letech ca 1900–1915 došlo k prvnímu otevřenému a diskutovanému vrcholu v české recepci evolucionismu a před jednoznačnými pozicemi a „velkými teoriemi“ má navrch spíše prostředkování diferencované zahraniční diskuse, podněty vlastní experimentální práce a opatrné očekávání od nového studia variability a dědičnosti. (shrink)

Guided by key insights of the four great philosophers mentioned in the title, here, in review of and expanding on our earlier work (Burchard, 2005, 2011), we present an exposition of the role played by language, & in the broader sense, λογοζ, the Logos, in how the CNS, the brain, is running the human being. Evolution by neural Darwinism has been forcing the linguistic nature of mind, enabling it to overcome & exploit the cognitive gap between an animal and its (...) world by recognizing environmental structures. Our work was greatly influenced by Heidegger’s lecture notes on metaphysics (Heidegger, 1935). We found agreement with recent progress in neuroscience, but also mathematical foundations of language theory, equating Logos with the mathematical concept of structure. The mystery of perception across the gap is analyzed as radiation and molecules impinging on sensory neurons that carry linguistic information about gross environmental structures, and only remotely about the physical reality of elementary particles. The most important logical brain function is Ego or Self, guiding the workings of the brain as a logos machine. Ego or Self operates from neurons in frontopolar cortex with global receptive fields. The logos machine can function only by availing itself of global context, its internally stored noumenal cosmos NK, and the categorical-conceptual apparatus CCA, updated continually through the neural default mode network (Raichle, 2005). In the Transcendental Deduction, Immanuel Kant discovered that Ego or Self is responsible for conscious control in perception relying on concepts & categories for a fitting percept to be incorporated intoNK. The entire CNS runs as a “movie-in-the-brain” (Parvizi & Damasio, 2001), at peak speed processing simultaneously in a series of cortical centers a stack of up to twelve frames in gamma rhythm of 25 ms intervals. We equate global context, or NK, with our human world, Heidegger’s Dasein being-in-the-world, and are able to demonstrate that the great philosopher in EM parallels neuro-science concerning the human mind. (shrink)

How could ectogestative technology disrupt gender roles, parenting practices, and concepts such as ‘birth’, ‘body’, or ‘parent’? In this chapter, we situate this emerging technology in the context of the history of reproductive technologies and analyse the potential social and conceptual disruptions to which it could contribute. An ectogestative device, better known as ‘artificial womb’, enables the extra-uterine gestation of a human being, or mammal more generally. It is currently developed with the main goal of improving the survival chances of (...) extremely premature neonates. We argue that the intended use of the technology in neonatal intensive care units, as an alternative to current incubators (’partial-ectogestation’), challenges concepts such as ‘birth’, ‘fetus’, and ‘neonate’, and has several ethico-legal implications. We moreover address a more futuristic scenario where the entire embryological and fetal development could happen within an artificial womb (’full-ectogestation’). Such a scenario reveals the disruption of gender roles, parenting practices, and concepts such as ‘mother’, ‘father’, and ‘parent’. Both full- and partial-ectogestation would have implications for engineering and design, law-making, ethics, and philosophical anthropology. (shrink)

This paper argues that the plethora of experiments with decentralized social technologies (DSTs)—clusters of which are sometimes called “the Web 3.0 ecosystem” or “the Fediverse”—have brought us to a constitutional moment. These technologies enable radical innovations in social, economic, and political institutions and practices, with the potential to support transformative approaches to political economy. They demand governance innovation. The paper develops a framework of prudent vigilance for making ethical choices in this space that help to both grasp positive opportunities for (...) transformation and avoid the potentially problematic consequences. Most of our specific examples and concerns come from the blockchain/Web3 universe, as this has received the greatest investment, attention, and adoption to date. However, we aim to offer a framework for governance decision-making in conditions of uncertainty that applies more broadly to other DSTs. Specifically, under the framework of prudent vigilance, we propose a pragmatic, democratic, and pluralist approach to navigating bold experimentation with social practices and political economy enabled by these technologies. Our overarching goal is to provide a framework open to transformative improvement and constrained by guardrails and guiding values supportive of democracy, freedom, and pluralism. We take a relatively strong position, rather than simply laying out ethical issues and potential approaches. We seek to be provocative in order to spur further work and hope this paper will serve as a first bridge between academic philosophy and the DST community, which have hardly interacted to date. (shrink)

Previous research in Explainable Artificial Intelligence (XAI) suggests that a main aim of explainability approaches is to satisfy specific interests, goals, expectations, needs, and demands regarding artificial systems (we call these “stakeholders' desiderata”) in a variety of contexts. However, the literature on XAI is vast, spreads out across multiple largely disconnected disciplines, and it often remains unclear how explainability approaches are supposed to achieve the goal of satisfying stakeholders' desiderata. This paper discusses the main classes of stakeholders calling for explainability (...) of artificial systems and reviews their desiderata. We provide a model that explicitly spells out the main concepts and relations necessary to consider and investigate when evaluating, adjusting, choosing, and developing explainability approaches that aim to satisfy stakeholders' desiderata. This model can serve researchers from the variety of different disciplines involved in XAI as a common ground. It emphasizes where there is interdisciplinary potential in the evaluation and the development of explainability approaches. (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 Bertrand Russell's 1903 Principles of Mathematics, he offers an apparently devastating criticism of the neo-Kantian Hermann Cohen's Principle of the Infinitesimal Method and its History (PIM). Russell's criticism is motivated by his concern that Cohen's account of the foundations of calculus saddles mathematics with the paradoxes of the infinitesimal and continuum, and thus threatens the very idea of mathematical truth. This paper defends Cohen against that objection of Russell's, and argues that properly understood, Cohen's views of limits and (...) infinitesimals do not entail the paradoxes of the infinitesimal and continuum. Essential to that defense is an interpretation, developed in the paper, of Cohen's positions in the PIM as deeply rationalist. The interest in developing this interpretation is not just that it reveals how Cohen's views in the PIM avoid the paradoxes of the infinitesimal and continuum. It also reveals some of what is at stake, both historically and philosophically, in Russell's criticism of Cohen. (shrink)

The neo-Kantian Hermann Cohen is famously anti-empiricist in that he denies that sensations can make a definable contribution to knowledge. However, in the second edition of Kant’s Theory of Experience (1885), Cohen considers a proposition that contrasts with both his other work and that of his followers: a Kantian who studies scientific claims to truth—and the grounds on which they are made—cannot limit himself to studying mathematics and logical principles, but needs to also investigate underlying presuppositions about the empirical (...) element of science. Due to his subjectivist approach, Cohen argues, Kant not only failed to explain how scientific observation and experiments are possible, but also misconceived the role of the ideas, particularly the idea of a system of nature. (shrink)

(2005). Hermann Cohen and the Renewal of Kantian philosophy2. Angelaki: Vol. 10, continental philosophy and the sciences the german traditionissue editor: damian veal, pp. 95-108.

European Journal of Philosophy, Volume 30, Issue 1, Page 148-168, March 2022.

Hermann Cohen’s 1871 classic, Kants Theorie der Erfahrung, had a formative influence, not only on the Marburg school’s reading of Kant, but on their entire conception of philosophy. This influence was further magnified by the substantially revised and expanded second edition of 1885 and the yet further expanded third edition of 1918. Neo-Kantianism was the dominant philosophical movement in Germany in the late nineteenth and twentieth centuries, which means that a work, ostensibly, of Kant scholarship had an influence on (...) the development of German philosophy that few works of secondary literature can claim. (shrink)

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)

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)

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)

The Prussian Protestant Daniel Hermann is an important Neo-Latin poet. He lived from probably 1543 until 1601. Hermann studied at Königsberg, Straßburg, Basel and Wittenberg. Afterwards he served as a secretary at the Imperial Court at Vienna, later as a secretary of the city of Danzig and permanent ambassador of Danzig at the Royal Polish court during the wars against Russia. After the war he married and settled down in Riga and became the secretary of the Polish governor (...) Cardinal Radziwil and later of the general Georg Fahrensbach. Besides lots of poems on academical, political and private occasions he wrote letters in poetic form as well as theological, philosophical and political poems. This paper provides an overview over Hermann ’s life and his poetry, especially the poems written and published in Riga, and a short summary of the research on this poet. (shrink)

This article intends to shed new light on the impressive series of “war writings,” in which Hermann Cohen developed the idea of a possible messianic collaboration of German imperial ambitions and a modern Jewish Diaspora regenerated by German Spirit (from Russia to America). My paper pays special attention to two lecture tours planed by Cohen in the year 1914, one to Petersburg, Moscow, Riga, Vilna and Warsaw in May 1914, a few weeks before the outbreak of WWI; the other (...) a propaganda trip to America imagined at the beginning of WWI (Autumn 1914) by Cohen and a group of Jews linked to the Centralverein deutscher Staatsbürger jüdischen Glaubens – a plan which failed and turned only into the publication of an article in several American newspapers in German, English and Yiddish in early 1915. The article brings into consideration new archival material concerning the political background of these two initiatives. The article demonstrates how Cohen’s writings and activities during WWI were deploying a new Jewish and Imperial politics – which sought to pave the way for a messianic integration of Jewish Diaspora in the Imperial project of Germany, understood as the political realization of German Idealism. (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)

As a philosopher, psychologist, and physician, the German thinker Hermann Lotze defies classification. Working in the mid-nineteenth-century era of programmatic realism, he critically reviewed and rearranged theories and concepts in books on pathology, physiology, medical psychology, anthropology, history, aesthetics, metaphysics, logic, and religion. Leading anatomists and physiologists reworked his hypotheses about the central and autonomic nervous systems. Dozens of fin-de-siècle philosophical contemporaries emulated him, yet often without acknowledgment, precisely because he had made conjecture and refutation into a method. In (...) spite of Lotze's status as a pivotal figure in nineteenth-century intellectual thought, no complete treatment of his work exists, and certainly no effort to take account of the feminist secondary literature. Hermann Lotze: An Intellectual Biography is the first full-length historical study of Lotze's intellectual origins, scientific community, institutional context, and worldwide reception. (shrink)

The paper focuses on the problem of anthropodicy in the philosophical system of Hermann Cohen and its interpretation by Jacob Gordin (1896—1947). Gordin was one of the last followers of Cohen in Russia. He developes his interpretation in the lecture “Anthropodicy”, which was given in the Philosophical Circle at the Petrograd University in December 1921. For the study of the problem of anthropodicy he was apparently inspired by the discussions at the Free Philosophical Association in 1919—1921. Gordin places Cohen’s (...) concept of man in the wide intellectual context given by the ideas of the Russian religious philosophy, German classical philosophy, Neo-Kantianism, and the West European and Jewish mysticism (cabbala). Gordin compares Cohen’s anthropodicy with Vladimir Soloviev’s one and shows that there is a similarity in their approaches. Both philosophers point out that the justification of man is possible only in form of the justification of humanity and not as for Berdyaiev in form of the justification of personality. But Gordin uses Soloviev’s concept of all-unity and Berdyaiev’s concept of creativity in order to “improve” Cohen’s conception and to reveal the contribution of a person to the justification of humanity. Stronger as Cohen Gordin connects the programm of anthropodicy with individuality and underlines the participation of the individual in creating culture. (shrink)

In my dissertation, I present Hermann Cohen's foundation for the history and philosophy of science. My investigation begins with Cohen's formulation of a neo-Kantian epistemology. I analyze Cohen's early work, especially his contributions to 19th century debates about the theory of knowledge. I conclude by examining Cohen's mature theory of science in two works, The Principle of the Infinitesimal Method and its History of 1883, and Cohen's extensive 1914 Introduction to Friedrich Lange's History of Materialism. In the former, Cohen (...) gives an historical and philosophical analysis of the foundations of the infinitesimal method in mathematics. In the latter, Cohen presents a detailed account of Heinrich Hertz's Principles of Mechanics of 1894. Hertz considers a series of possible foundations for mechanics, in the interest of finding a secure conceptual basis for mechanical theories. Cohen argues that Hertz's analysis can be completed, and his goal achieved, by means of a philosophical examination of the role of mathematical principles and fundamental concepts in scientific theories. (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)

The task of this paper is to show that Franz Brentano was not a solitary figure who advanced his philosophy in complete isolation from other contemporary philosophers in Germany, as some Neo-Brentanists have claimed over the last 30–40 years. He developed his philosophical psychology in the context of his time—in particular, under the influence of Hermann Lotze.

Lotze’s "Microcosm" was published in three volumes, in 1856, 1858 and 1864, respectively. It was soon one of the most widely read philosophy books of the time. It was translated into French and Russian immediately, into English in 1885/87, and into Italian in 1911/16. The book saw six editions in Germany alone by 1923.

Some commentators on Hermann Cohen have remarked on what they take to be a puzzle about the origins of his mature anti-psychologism. When Cohen was young, he studied a kind of psychology, the Völkerpsychologie of Moritz Lazarus and Heymann Steinthal, and wrote apparently psycholgistic accounts of knowledge almost up until the moment he first articulated his anti-psychologistic neo-Kantianism. To be sure, Cohen's mature anti psycholgism does constitute a rejection of certain central commitments of Völkerpsychologie. However, the relation between Völkerpsychologie (...) and Cohen's mature anti-psychologism is not one of straightforward opposition. This paper argues that Cohen had significantly less distance to travel than it appears to get from his early Völkerpsychologie to his mature anti-psychologism. In particular, this paper argues that Cohen always had an anti-psychologistic account of knowledge, even during the period when he was studying Völkerpsychologie, and further, that key features of his Völkerpsychologie partly shaped his mature account of knowledge. Finally, the paper identifies how Cohen’s views did change over the transition from his völkerpsychological period to his later anti-psychologism. It thus identifies what changes in Cohen’s views do need to be explained. (shrink)

The article includes a short biography of Hermann of Dalmatia and gives an account of his translations and philosophical and scientific work. In order to have a better understanding of Hermann’s philosophy, a reminder of Greek and Arabic philosophy of nature, on which he relies in his interpretation of the world picture, needs to be presented. Cosmological models by Plato, Aristotle, Eudoxus, Heraclides of Pont, Apollonius of Perga, Hipparchus, Ptolemy, and the Arab scientist Abu Ma’shar, are presented. The (...) main focus of interest is on Hermann’s translations. The immense importance of his translations from Greek and Arabic into Latin is due to the fact that some of the seminal Greek and Arabic works became known in Western Europe in the middle of the twelfth century. Hermann is also important as the author of the original work De essentiis, which presented a blend of Platonian and Aristotelian as well as Western European and Arab traditions. (shrink)

The purpose of this study is to assess Husserl’s debt to Lotze’s philosophy during the Halle period (1886-1901). I shall first track the sources of Husserl’s knowledge of Lotze’s philosophy during his studies with Brentano in Vienna and then with Stumpf in Halle. I shall then briefly comment on Husserl’s references to Lotze in his early work and research manuscripts for the second volume of his Philosophy of Arithmetic. In the third section, I examine Lotze’s influence on Husserl’s antipsychologistic turn (...) in the mid-1890s. The fourth section is a commentary on Husserl’s manuscript entitled “Microcosmus,” to which he explicitly refers in his Prolegomena, and which he planned to publish as an annex of his Logical Investigations. This work contains a detailed analysis of the third book of Lotze’s 1874 Logic. The last section examines Husserl’s arguments against logical psychologism in his Prolegomena, which I discuss through the lens of Stumpf’s critique of psychologism in his paper “Psychology and theory of knowledge”. I argue that Stumpf’s early works on this topic make it possible to establish a connection between Lotze’s interpretation of Plato’s theory of Ideas and Husserl’s antipsychologism. My hypothesis is that Stumpf’s analyses represent the background of Husserl's critique of logical psychologism in his Logical Investigations. I shall conclude this study by showing that Husserl’s position with respect to Lotze’s philosophy remains basically unchanged after the publication of his Logical Investigations, and that Husserl’s main criticism of Lotze pertains, in the final analysis, to the absence of a theory of intentionality in Lotze’s philosophy. (shrink)

Anticipating Martin Buber, Hermann Cohen said we must recognize the living, breathing individual as a “Thou,” and not just as a generic example of humanity. As significant as the universal ethical ideal is for Cohen, he recognized that ethics is concerned with individuals only insofar as they are members of humanity as a whole. Ethics can’t always deal with individual moral feelings or with sin. In other words, it is religion -- rather than ethics -- that concerns itself with (...) the sin of the individual. (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)

El propósito del presente estudio es afirmar la deuda de Husserl con la filosofía de Lotze durante el período de Halle. Mi interés se centra especialmente en el pensamiento del joven Husserl desde su llegada a Halle en 1886 hasta la publicación de su Hauptwerk en 1900-1901. Primero me remontaré a las fuentes del conocimiento de la filosofía de Lotze por parte de Husserl durante sus estudios con Brentano en Viena y después con Stumpf en Halle. Luego comentaré brevemente las (...) referencias de Husserl a Lotze en sus primeros trabajos y en sus manuscritos de investigación para el segundo volumen de su Filosofía de la aritmética. En la tercera sección, examino la influencia de Lotze en el giro antipsicologista de Husserl a mediados de la década de 1890. La cuarta sección es un comentario al manuscrito de Husserl titulado "Microcosmos", al cual se refiere explícitamente en sus Prolegómenos, y que planeaba publicar como anexo a sus Investigaciones lógicas. Esta obra contiene un análisis detallado del tercer volumen de la Lógica de Lotze de 1874. La última sección examina los argumentos de Husserl contra el psicologismo lógico en sus Prolegómenos, que yo expongo a través del prisma de la crítica de Stumpf al psicologismo en su artículo "Psicología y teoría del conocimiento". Sostengo que las primeras obras de Stumpf sobre este asunto hacen posible establecer una conexión entre la interpretación de Lotze de la teoría de las Ideas de Platón y el antipsicologismo de Husserl. Mi hipótesis es que los análisis de Stumpf representan el fondo de la crítica de Husserl al psicologismo lógico en sus Investigaciones lógicas. Concluiré este estudio mostrando que la posición de Husserl respecto de la filosofía de Lotze permanece básicamente la misma después de la publicación de sus Investigaciones lógicas, y que la principal crítica de Husserl a Lotze se refiere, en un último análisis, a la ausencia de una teoría de la intencionalidad en la filosofía de Lotze. (shrink)

The appearance of negative terms in quasiprobability representations of quantum theory is known to be inevitable, and, due to its equivalence with the onset of contextuality, of central interest in quantum computation and information. Until recently, however, nothing has been known about how much negativity is necessary in a quasiprobability representation. Zhu :120404, 2016) proved that the upper and lower bounds with respect to one type of negativity measure are saturated by quasiprobability representations which are in one-to-one correspondence with the (...) elusive symmetric informationally complete quantum measurements. We define a family of negativity measures which includes Zhu’s as a special case and consider another member of the family which we call “sum negativity.” We prove a sufficient condition for local maxima in sum negativity and find exact global maxima in dimensions 3 and 4. Notably, we find that Zhu’s result on the SICs does not generally extend to sum negativity, although the analogous result does hold in dimension 4. Finally, the Hoggar lines in dimension 8 make an appearance in a conjecture on sum negativity. (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)