Conventional wisdom holds that the von Neumann entropy corresponds to thermodynamic entropy, but Hemmo and Shenker (2006) have recently argued against this view by attacking von Neumann's (1955) argument. I argue that Hemmo and Shenker's arguments fail due to several misunderstandings: about statistical-mechanical and thermodynamic domains of applicability, about the nature of mixed states, and about the role of approximations in physics. As a result, their arguments fail in all cases: in the single-particle case, the finite particles case, (...) and the infinite particles case. (shrink)

John von Neumann's proof that quantum mechanics is logically incompatible with hidden varibales has been the object of extensive study both by physicists and by historians. The latter have concentrated mainly on the way the proof was interpreted, accepted and rejected between 1932, when it was published, and 1966, when J.S. Bell published the first explicit identification of the mistake it involved. What is proposed in this paper is an investigation into the origins of the proof rather than the (...) aftermath. In the first section, a brief overview of the his personal life and his proof is given to set the scene. There follows a discussion on the merits of using here the historical method employed elsewhere by Andrew Warwick. It will be argued that a study of the origins of von Neumann's proof shows how there is an interaction between the following factors: the broad issues within a specific culture, the learning process of the theoretical physicist concerned, and the conceptual techniques available. In our case, the ‘conceptual technology’ employed by von Neumann is identified as the method of axiomatisation. (shrink)

In spite of the many efforts made to clarify von Neumann’s methodology of science, one crucial point seems to have been disregarded in recent literature: his closeness to Hilbert’s spirit. In this paper I shall claim that the scientific methodology adopted by von Neumann in his later foundational reflections originates in the attempt to revaluate Hilbert’s axiomatics in the light of Gödel’s incompleteness theorems. Indeed, axiomatics continues to be pursued by the Hungarian mathematician in the spirit of Hilbert’s (...) school. I shall argue this point by examining four basic ideas embraced by von Neumann in his foundational considerations: a) the conservative attitude to assume in mathematics; b) the role that mathematics and the axiomatic approach have to play in all that is science; c) the notion of success as an alternative methodological criterion to follow in scientific research; d) the empirical and, at the same time, abstract nature of mathematical thought. Once these four basic ideas have been accepted, Hilbert’s spirit in von Neumann’s methodology of science will become clear. (shrink)

We show that the respective oversights in the von Neumann's general theorem against all hidden variable theories and Bell's theorem against their local-realistic counterparts are homologous. When latter oversight is rectified, the bounds on the CHSH correlator work out to be ±2√2 instead of ±2.

This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory. In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in 1941 by John von Neumann to Stanislaw Ulam, this paper clarifies von Neumann's contribution to discovering the relationship between spatial isomorphism and spectral isomorphism. The main message of the paper is that von Neumann's argument described in his letter to Ulam is the very (...) first proof that spatial isomorphism and spectral isomorphism are not equivalent because spectral isomorphism is weaker than spatial isomorphism: von Neumann shows that spectrally isomorphic ergodic dynamical systems with mixed spectra need not be spatially isomorphic. (shrink)

In this brief paper, we argue about the conceptual relationship between the role of observer in quantum mechanics and the von Neumann Chain. -/- .

This paper examines Georg Simmel’s philosophy of culture in relation to anthropological debates, developing a historical and a systematic argument: First, I show that Simmel’s approach can be read as a response to the anthropological challenge of modernity. Second, I demonstrate that Simmel’s theory of culture can be brought to bear on current anthropological debates. Focusing on his concept of cultivation, I argue that Simmel advances a transformative concept of humanity that considers both the biological nature of humans and the (...) distinct character of human culture. (shrink)

Seit wenigen Jahren erfreuen sich in den Lebenswissenschaften mehrere Theorien eines immer weitergehenden Einflusses, die unter Etikettierungen wie Systembiologie, Netzwerktheorie oder Signalomics nur scheinbar unabhängige Herangehensweisen an komplexe Zusammenhänge darstellen. Navigation ist der übergreifende Gedanke, der so unterschiedliche Gebiete wie Regelungstheorie, Entscheidungstheorie und Systemwissenschaft verbindet. Navigation als Lage- und Kursbestimmung nebst den zugehörigen Signalverarbeitungsprozessen und Steuerkommandos ist die Grundlage dessen, was lebende Organismen von der blo§en Ansammlung materieller Ingredienzien unterscheidet – von der molekularen Ebene bis zum Sozialverhalten. Denn stets stellen (...) sich Prozesse des Lebens als solche des Suchens, Kommunizierens, Disponierens und Vervollkommnens dar, ob es sich nun um die Regulation der Sauerstoffspannung im Blut oder die Organisation eines Ameisenvolkes handelt. Navigationsaufgaben sind damit schließlich auch Fragestellungen ärztlicher Entscheidungsfindung, die sich in einem komplexen Raum aus individuellen, sozialen und ethischen Anforderungen entfalten. (shrink)

Das Thema des vorliegenden Aufsatzes ist Georg Simmels »relativistische[s] Weltbild« , anhand dessen die Prinzipien seiner Kulturphilosophie dargelegt werden. Im ersten Teil wird die systematische Fragestellung der Philosophie des Geldes im historischen Kontext rekonstruiert. Dabei steht der philosophiegeschichtliche Zusammenhang zwischen dem Wertproblem und der Debatte um den Relativismus im Zentrum. Im zweiten Teil wird Simmels kulturphilosophische Lösung des Wertproblems, durch die das Geld zum Paradigma seines Relativismus wird, systematisch analysiert. Der dritte Teil setzt sich mit dem Prinzip der kulturellen Formung (...) auseinander. Am Beispiel der Formwelt Erkenntnis wird die Grundlage von Simmels Kulturtheorie in toto dargelegt. Der vierte Teil wendet sich der Weiterentwicklung von Simmels Kulturtheorie in seiner späten Lebensphilosophie zu. Dabei wird einerseits seine Theorie der kulturellen Formwelten analysiert, und andererseits deren Integration in eine umfassende Dialektik des Lebens nachvollzogen. Im fünften Teil wird die Frage gestellt, ob Simmel aus heutiger Sicht als ein Relativist zu bezeichnen ist. Dabei wird argumentiert, dass Simmels kulturphilosophische Position große Ähnlichkeiten mit dem konzeptuellen Relativismus hat, der gegenwärtig von Carol Rovane vertreten wird. Deshalb plädiere ich dafür Simmel in der gegenwärtigen Debatte um den Relativismus ernster zu nehmen. (shrink)

Das Dissertationsprojekt soll eine Verbindung zwischen zwei augenscheinlich separaten Debattensträngen in der kontemporären Wissenschaftstheorie erforschen. Das ist zum einen die Debatte um die humesche Doktrin, der zufolge es keine de-re notwendigen Verbindungen respektive modale Fakten in der natürlichen Welt gibt. Diese Debatte betrifft die Grundlagen der Naturwissenschaften sowie der Natur selbst. Und das ist zum anderen die Debatte um die materiale Theorie der Induktion, welche auf John D. Norton zurückgeht und die Grundlagen der Rationalität und Logik betrifft. Nach dieser Theorie (...) werden induktive Schlüsse qua relevanter, lokaler Hintergrundfakten zuverlässig. Norton bringt viele - in meinen Augen überzeugende - Beispiele für diese Theorie, lässt uns aber im Unklaren darüber, wie diese Hintergrundfakten induktive Schlüsse lizensieren können. Ich werde argumentieren, dass es sich bei diesen relevanten Fakten zumindest in einigen paradigmatischen Fällen um irreduzibel-modale oder modal grundierte Fakten handeln muss, ansonsten können diese die ihnen zugedachte Funktion nicht erfüllen. Infolgedessen steht der Humeanismus vor einer materialen Form des Induktionsproblems. -/- Meine Forschungshypothese lautet, dass es sich bei dem materialen Induktionsproblem um das eigentliche und zentrale Problem des Humeanismus handelt. Zum einen werden viele altbekannte Probleme des Humeanismus durch das materiale Induktionsproblem motiviert und bestärkt. Zum anderen begründet das materiale Induktionsproblem ein neues und tiefgreifendes Problem des Humeanismus. Es stellt sich darin, dass der Humeanismus den empirischen Erfolg unserer verfügbaren wissenschaftlichen und alltäglichen Gesetzesannahmen nicht zirkelfrei erklären kann. Darauf aufbauend formuliere ich ein Super-Wunderargument, das im Kern in einer Inferenz von den bisherigen empirischen Erfolgen unserer verfügbaren Gesetzesannahmen auf die Wahrheit des Anti-Humeanismus besteht. Dieses Argument steht im Zentrum meiner Arbeit. Alles Weitere wird im Kontext dieses Argumentes diskutiert und illustriert. Zu diesen Untersuchungen gehören die schrittweise Motivation des Argumentes durch das materiale Induktionsproblem, die Unterscheidung und Diskussion verschiedener logischer Formen des Argumentes, das Herausarbeiten der Vorteile sowie die Antizipation von möglichen Einwänden gegen das Argument. (shrink)

Nationalistische Ideen haben in der gegenwärtigen Politik Konjunktur. Dabei ist auch die Wiederkehr einer völkisch-traditionalistischen Ideologie zu beobachten. Der völkische Nationalismus ist in rechtsextremen Gruppen weit verbreitet. Mittlerweile wirken völkische Ideen jedoch weit in die bürgerliche Mitte hinein, nicht zuletzt aufgrund der erfolgreichen Strategien der sogenannten „Neuen Rechten“. Die Identitäre Bewegung (IB) spielt in dieser Szene eine wesentliche Rolle und wird zumeist als eine „neurechte Jugendbewegung“ (Bruns et al 2017) definiert. Diese Einschätzung möchte ich im Folgenden näher betrachten. Meine Auseinandersetzung (...) mit der Ideologie der IB umfasst drei Schritte: Im ersten Schritt wird mit dem Konzept des Ethnopluralismus, das Grundmotiv der identitären Ideologie, analysiert. Im zweiten Schritt entfalte ich eine genealogische Perspektive. Deshalb wird hier eine bestimmte Variante völkischen Denkens der 20er und 30er Jahre thematisiert. Ausgehend von einer kulturkritischen Zeitdiagnose entwickelten Philosophen wie Alfred Baeumler (1887–1968), Ernst Krieck (1882–1947) oder Erich Rothacker (1888–1965) eine identitätspolitische Antwort auf die Moderne und sahen diese im Nationalsozialismus (NS) verwirklicht. Der völkische Partikularismus war das Grundmotiv dieser politischen Anthropologie. Meine genealogische Analyse wird zeigen, dass die IB keine „neurechte Jugendbewegung“ (Bruns et al 2017; Hervorhebung J.S.) in einem inhaltlichen Sinne ist. Denn die identitäre Ideologie ist keine Erneuerung, sondern eine simple Wiederkehr völkischen Denkens, das bereits vor 1945 weit verbreitet war. Im dritten Schritt präsentiere ich eine Kritik der völkischen Ideologie, die sich auf das Modell der „ethnokulturellen Identität“ konzentriert. (shrink)

Gesellschaft ist ein schwieriger, weil prinzipiell nie konkret faßbarer Gegenstand der Erkenntnis. Zu diesem Problem gibt es u.a. transzendentale, phänomenologische, systemtheoretische Ansätze. Die Gegenstandsverfassung hat weitreichende forschungspraktische Konsequenzen, auch hinsichtlich sozialwissenschaftlicher Wissenschaftlichkeit. Pragmatismus und Semiotik fand, trotz Apels Peirce- und Joas’ Meadrezeption, noch nicht genügend Beachtung. Gesellschaft wird nicht als Objekt, sondern als erkenntnisdeterminierendes Ziel eines kognitiven Verhaltens eingeführt. Sie wird so kontextualisiert in einer Wahrheitstheorie, die sowohl objektive Fakten wie kognitive Allgemeinheit in sich vereint, und zwar konkret in jeder (...) Zeichenrelation. Von hier ließe sich die Systemtheorie Luhmanns debattieren, nicht in ihren attraktiven Anwendungen, sondern ihrem logischen Kern nach. (shrink)

Eine Rezension des Buches "Every Thing Must Go - Metaphysics Naturalized" von James Ladyman und Don Ross.

Täglich hören wir auf den Kanälen der mittlerweile unsere Lebenswelten prägenden Medien von unfreien Staatsformen, von Menschen, die sich gegen ihre Unterdrücker erheben und dafür einen hohen Preis zahlen, von Vergewaltigungen, Menschenhandel und allerlei andern Grausamkeiten. Was in den Medien thematisiert wird erzeugt auch einen gewissen Widerhall in der Bevölkerung. Je nach Tragweite des Themas fällt der Widerhall unterschiedlich aus. Bei schrecklichen Taten folgt auf den ersten Schock das moralische Urteil über den Täter, die Tätergruppe oder die ausführende Instanz. Man (...) verlangt nach einem Ausgleich, wie auch immer dieser Begriff geartet sein sollte. Dabei geht es nicht nur um Vergeltung, sondern auch darum, dass die unmenschlich handelnden Menschen aus dem Verkehr gezogen werden sollen, sodass diese keinen weiteren Schaden anrichten können. (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)

Nach einer kurzen Erinnerung an einige von Keplers Hauptwerken, in denen traditionelle und moderne Elemente eingehen (Abschnitt 1), wird zwei Beispielen die Differenz zwischen diesen beiden Elementen näher untersucht. Das erste Beispiel, Keplers Naturbegriff, dient zur Diskussion der Kritik qualitativer Unterscheidungen. Hierbei stehen Keplers Verhältnis zur aristotelischen Naturauffassung und die Relevanz dieser Relation für die moderne Wissenschaftsauffassung im Mittelpunkt (Abschnitt 2). Das andere Beispiel befasst sich mit dem absoluten Wahrheitsanspruch von Keplers Wissenschaft und rückt damit exemplarisch eine Differenz zur modernen (...) Wissenschaftsauffassung in den Vordergrund (Abschnitt 3). Anschließend werden umfassender traditionelle Elemente der frühneuzeitlichen Wissenschaft, wie sie Kepler vertrat, dem modernen Wissenschaftsverständnis gegenübergestellt. Nachdem damit die Entfernung Keplers zur Gegenwart gleichsam maximiert ist, wende ich mich den Wissenschaftsauffassungen von Wolfgang Pauli und Werner Heisenberg zu, die in bemerkenswerter Nähe zu Keplers vormodernen Ansichten stehen und doch ganz im Kontext der Moderne entwickelt wurden (Abschnitt 4). Obwohl also in jüngster Zeit ganz differente Einstellungen zu Keplers Verhältnis zur modernen Wissenschaft vertreten wurden, lässt sich doch eine Tendenz zur Abstandsvergrößerung in dieser Relation ausmachen (Abschnitt 5). (shrink)

Wydane w latach 1782-1786 Niemieckie baśnie ludowe Johanna Karla Augusta Musausa, znanego oświeceniowej publiczności autora poczytnych Podróży fizjognomicznych, przyjęto początkowo entuzjastycznie, uznając je za wyjątkowo udaną formę literaryzacji elementów baśniowej tradycji ustnej i pisanej oraz podkreślając walory "dowcipnej" narracji. W wieku XVIII pojęcie "baśni" (Miirchen) miało szerokie znaczenie. Słowniki i leksykony wskazują na to, iż pojęcia: "bajka" (Fabel), "baśń" (Mcirchen), "podanie" (Sage) i "legenda"(Legende) mogły być używane zamiennie. Musaus definiuje we wstępie do swego zbioru zatytułowanym Słowo wstępne do pana Dawida (...) Runkela, będącym humorystyczną autoprezentacją pisarza i jego baśni, pojęcie "baśni" jako "poetę cudowną" (wunderbare Dichtung), przemawiającą w sposób szczególny do wyobraźni czytelnika. Taka definicja baśni pozwoliła zebrać Musausowi w swym zbiorze teksty, które według dzisiejszych kryteriów określono by w większości jako podania. Ukazanie się w roku 1812 pierwszego tomu Baśni dziecięcych i domowych braci Jakuba i Wilhelma Grimmów było wydarzeniem epokowym w historii baśni. Baśnie braci Grimmów na długo stały się normą o uniwersalnym znaczeniu, według której oceniano baśniowość tego typu utworów. Podług romantycznej miary Grimmów oceniano również oświeceniowe baśnie Musausa, a ocena ta najczęściej nie wypadała pozytywnie. Artykuł przedstawia recepcję Niemieckich baśni ludowych Musausa u braci Grimmów, Ludwika Tiecka, Achima von Arnima i u nawiązującego bezpośrednio do romantycznych koncepcji Grimmów Ludwika Bechsteina, uwypuklając na ich przykładzie różnicę w ujęciu fenomenu baśniowości w oświeceniu i romantyzmie. (shrink)

Kurz bevor Goethe in den Jahren 1808/9 die Wahlverwandtschaften schrieb, hatte sich sein ehemaliger naturwissenschaftlicher Kooperationspartner Johann Ritter in Untersuchungen zu Wünschelruten und Pendeln (1807/8) verloren, aus denen angeblich eine weitere tiefgreifende Analogie zwischen den Polaritäten in der Natur und denen beim Menschen hervorgehen sollte. Ritter arbeitete damals schon seit Jahren erfolgreich mit Goethes Polaritätsbegriff, und war dadurch sogar auf seinen größten Erfolg geleitet worden (die Entdeckung des UV-Lichts). So ist es nicht überraschend, dass sich Goethe für die Pendelexperimente (...) interessierte – und ihnen im Roman ein literarisches Denkmal setzte (während er sich wissenschaftlich dazu sicherheitshalber nicht äußerte). Die von beiden geteilte Polaritätsidee lief auf mehr hinaus als den vagen Gegensatz zwischen irgendwelchen antagonistischen Wirkfaktoren; vielmehr hatte sie handfeste strukturelle Implikationen im Sinne einer mathematischen Symmetrie: Bei Vertauschung der entgegengesetzten Pole in irgendeiner gegebenen Konfiguration kehren sich die ursprünglich beobachtbaren Wirkungen genau in ihr Gegenteil um. Diese Idee ist ein Kerngedanke der Farbenlehre (1810) und liegt z. B. Goethes Farbenkreis zugrunde; überraschenderweise lässt sie sich an einigen entscheidenden Wendepunkten der Wahlverwandtschaften präzise dingfest machen, und dadurch gewinnt ein beliebtes Spiel unter Goethelesern einen neuen Dreh: Die Farben des Farbenkreises haben eindeutig identifizierbare Gegenstücke im Personentableau des Romans. (shrink)

What does it mean to be conservative? What could it mean in the arts? Whoever merely conserves works of art may be a collector but is not an artist. Brahms’s trio op. 40 conserves the hand horn idiom. Yet its aesthetics will not be captured by the opposition of ‘conservative’ versus ‘progressive’. What is superior in terms of technology, Brahms maintained, need not be superior in terms of art.

Review of two recent works on J.G.H. Feder: -/- Johann Georg Heinrich Feder. Ausgewählte Schriften. Hrgb. Von Hans-Peter Nowitzki, Udo Roth, Gideon Stiening. Berlin/Boston: De Gruyter, 2018. Werkprofile Band 9. -/- and -/- Johann Georg Heinrich Feder (1740-1821): Empirismus und Popularphilosophie Zwischen Wolff und Kant. Hrgb. Von Hans-Peter Nowitzki, Udo Roth, Gideon Stiening. Berlin/Boston: De Gruyter, 2018. Werkprofile Band 10.

The paper summarizes expected utility theory, both in its original von Neumann-Morgenstern version and its later developments, and discusses the normative claims to rationality made by this theory.

Harsanyi claimed that his Aggregation and Impartial Observer Theorems provide a justification for utilitarianism. This claim has been strongly resisted, notably by Sen and Weymark, who argue that while Harsanyi has perhaps shown that overall good is a linear sum of individuals’ von Neumann-Morgenstern utilities, he has done nothing to establish any con- nection between the notion of von Neumann-Morgenstern utility and that of well-being, and hence that utilitarianism does not follow. The present article defends Harsanyi against the (...) Sen-Weymark cri- tique. I argue that, far from being a term with precise and independent quantitative content whose relationship to von Neumann-Morgenstern utility is then a substantive question, terms such as ‘well-being’ suffer (or suffered) from indeterminacy regarding precisely which quantity they refer to. If so, then (on the issue that this article focuses on) Harsanyi has gone as far towards defending ‘utilitarianism in the original sense’ as could coherently be asked. (shrink)

I argue that prioritarianism cannot be assessed in abstraction from an account of the measure of utility. Rather, the soundness of this view crucially depends on what counts as a greater, lesser, or equal increase in a person’s utility. In particular, prioritarianism cannot accommodate a normatively compelling measure of utility that is captured by the axioms of John von Neumann and Oskar Morgenstern’s expected utility theory. Nor can it accommodate a plausible and elegant generalization of this theory that has (...) been offered in response to challenges to von Neumann and Morgenstern. This is, I think, a theoretically interesting and unexpected source of difficulty for prioritarianism, which I explore in this article. (shrink)

In the first part of his magnum opus Hans Urs von Balthasarpresents his project of theological aesthetics where the experience of art becomes an entrance to a religious act and an ennobling way leading to the contemplation of God. Defining the essence of being human as a spiritual being directed towards God bears a deep ethical meaning in this consideration. H.U. von Balthasar’s reflection over the religious dimension of the essence of art is shaped within theology but at the same (...) time in the opposition to aesthetic theology which is de-scribed as ‘aesthetisation’ of the Mystery of Revelation. The art of music occupies a particular place in this reflection. For this reason Mass in B Minor BWV 232 by Johann Sebastian Bach, which is an emblematic example of the revelation of the glory of the Lord (Herrlichkeit), will be analysed not only from the perspective of philosophical or musicological aesthetics, but also theological aesthetics. This article outlines characteristic features of theological aesthetics specifically developed from traditional philosophical aesthetics whose range was extended by the human being’s relation to God. (shrink)

Phenomenological reflection on the essence of art goes towards the revelation of its ultimate Source, which is also the Source of spirituality of a man and, finally, of artistic works. Art occupies a prominent place in the works of Martin Heidegger, Hans Urs von Balthasar and Michel Henry, and what they have in common is pointing out the ability of transcending artistic work towards beyond-aesthetic and over-aesthetic dimensions. For those philosophers the work of art is a ‘way’ which may lead (...) human spirit towards Transcendence (the Absolute, God), but also towards the inner self. In this article the reflection over a religious dimension of the essence of art is extended by the analysis of St John Passion, BWV 245 by Johann Sebastian Bach, as a particular example of an artistic realization of phenomenologically rooted philosophical and theological reflection. (shrink)

Der Artikel analysiert die Aussagen Fichtes zur ästhetischen Diskussion seiner Zeit und die von ihm entwickelte Kulturauffassung als Mittler zwischen empirischen und transzendentalen Ich bis hin zur Aufnahme seiner Theoreme in der Jenaer Frühromantik. The article analyzes Fichte's statements on the aesthetic discussion of his time and the conception of culture he developed as a mediator between the empirical and transcendental ego up to the inclusion of his theorems in the Jena early romantic period.

A possible world is a junky world if and only if each thing in it is a proper part. The possibility of junky worlds contradicts the principle of general fusion. Bohn (2009) argues for the possibility of junky worlds, Watson (2010) suggests that Bohn‘s arguments are flawed. This paper shows that the arguments of both authors leave much to be desired. First, relying on the classical results of Cantor, Zermelo, Fraenkel, and von Neumann, this paper proves the possibility of (...) junky worlds for certain weak set theories. Second, the paradox of Burali-Forti shows that according to the Zermelo-Fraenkel set theory ZF, junky worlds are possible. Finally, it is shown that set theories are not the only sources for designing plausible models of junky worlds: Topology (and possibly other "algebraic" mathematical theories) may be used to construct models of junky worlds. In sum, junkyness is a relatively widespread feature among possible worlds. (shrink)

We review our approach to quantum mechanics adding also some new interesting results. We start by giving proof of two important theorems on the existence of the A(Si) and i,±1 N Clifford algebras. This last algebra gives proof of the von Neumann basic postulates on the quantum measurement explaining thus in an algebraic manner the wave function collapse postulated in standard quantum theory. In this manner we reach the objective to expose a self-consistent version of quantum mechanics. In detail (...) we realize a bare bone skeleton of quantum mechanics recovering all the basic foundations of this theory on an algebraic framework. We give proof of the quantum like Heisenberg uncertainty relations using only the basic support of the Clifford algebra. In addition we demonstrate the well known phenomenon of quantum Mach Zender interference using the same algebraic framework, as well as we give algebraic proof of quantum collapse in some cases of physical interest by direct application of the theorem that we derive to elaborate the i,±1 N algebra. We also discuss the problem of time evolution of quantum systems as well as the changes in space location, in momentum and the linked invariance principles. We are also able to re-derive the basic wave function of standard quantum mechanics by using only the Clifford algebraic approach. In this manner we obtain a full exposition of standard quantum mechanics using only the basic axioms of Clifford algebra. We also discuss more advanced features of quantum mechanics. In detail, we give demonstration of the Kocken-Specher theorem, and also we give an algebraic formulation and explanation of the EPR paradox only using the Clifford algebra. By using the same approach we also derive Bell inequalities. Our formulation is strongly based on the use of idempotents that are contained in Clifford algebra. Their counterpart in quantum mechanics is represented by the projection operators that, as it is well known, are interpreted as logical statements, following the basic von Neumann results. Von Neumann realized a matrix logic on the basis of quantum mechanics. Using the Clifford algebra we are able to invert such result. According to the results previously obtained by Orlov in 1994, we are able to give proof that quantum mechanics derives from logic. We show that indeterminism and quantum interference have their origin in the logic. Therefore, it seems that we may conclude that quantum mechanics, as it appears when investigated by the Clifford algebra, is a two-faced theory in the sense that it looks from one side to “matter per se”, thus to objects but simultaneously also to conceptual entities. We advance the basic conclusion of the paper: There are stages of our reality in which we no more can separate the logic ( and thus cognition and thus conceptual entity) from the features of “matter per se”. In quantum mechanics the logic, and thus the cognition and thus the conceptual entity-cognitive performance, assume the same importance as the features of what is being described. We are at levels of reality in which the truths of logical statements about dynamic variables become dynamic variables themselves so that a profound link is established from its starting in this theory between physics and conceptual entities. Finally, in this approach there is not an absolute definition of logical truths. Transformations , and thus … “redefinitions”…. of truth values are permitted in such scheme as well as the well established invariance principles, clearly indicate . (shrink)

Ancient Greek philosophers were the first to postulate the possibility of explaining nature in theoretical terms and to initiate attempts at this. With the rise of monotheistic religions of revelation claiming supremacy over human reason and envisaging a new world to come, studies of the natural order of the transient world were widely considered undesirable. Later, in the Middle Ages, the desire for human understanding of nature in terms of reason was revived. This article is concerned with the fundamental reversal (...) of attitudes, from "undesirable" to "desirable", that eventually led into the foundations of modern science. One of the earliest, most ingenious and most interesting personalities involved was Eriugena, a theologian at the Court of Charles the Bald in the 9th century. Though understanding what we call nature is only one of the several aspects of his philosophical work, his line of thought implies a turn into a pro-scientific direction: the natural order is to be understood in abstract terms of "primordial causes"; understanding nature is considered to be the will of God; man encompasses the whole of creation in a physical as well as a mental sense. Basically similar ideas on the reconciliation of scientific rationality and monotheistic religions of revelation were conceived, independently and nearly simultaneously, by the Arab philosopher al-Kindi in Bagdad. Eriugena was more outspoken in his claim that reason is superior to authority. This claim is implicit in the thought of Nicholas of Cusa with his emphasis on human mental creativity as the image of God's creativity; and it is the keynote of Galileo's "Letter to the Grand Duchess Christina" some 800 years later, the manifesto expressing basic attitudes of modern science. (shrink)

Does consciousness collapse the quantum wave function? This idea was taken seriously by John von Neumann and Eugene Wigner but is now widely dismissed. We develop the idea by combining a mathematical theory of consciousness (integrated information theory) with an account of quantum collapse dynamics (continuous spontaneous localization). Simple versions of the theory are falsified by the quantum Zeno effect, but more complex versions remain compatible with empirical evidence. In principle, versions of the theory can be tested by experiments (...) with quantum computers. The upshot is not that consciousness-collapse interpretations are clearly correct, but that there is a research program here worth exploring. (shrink)

Artykuł dotyczy dwóch bardzo mało znanych utworów słynnych twórców literatury niemieckiej. Johann Wolfgang von Goethe, twórca Fausta, ma w swym dorobku moralizatorski wiersz pt. Dziennik. Jednak z obawy o posądzenie go o niemoralne treści, nigdy za życia poety utwór ten nie został opublikowany. Również Siedem wierszy Rainera Marii Rilkego jest bardzo rzadko drukowanych. Mimo, iż Rilke długo wzbraniał się przed lekturą utworów niemieckiego wieszcza, to jednak Dziennik stanowił wyjątek. Wiersz Goethego poświęcony jest kryzysowi seksualnemu i twórczemu bohatera, za którym (...) kryje się sam poeta. Wiersze Rilkego stanowią cykl poświęcony aktowi miłosnemu dwojga kochanków. Artykuł stara się przeanalizować wzajemne związki obu tych tak różnych dzieł i odpowiedzieć na pytanie, czy R. M. Rilke wzorował się na twórczości J. W. Goethego. (shrink)

The biomedical literature makes extensive use of the concept of a genetic program. So far, however, the nature of genetic programs has received no satisfactory elucidation from the standpoint of computer science. This unsettling omission has led to doubts about the very existence of genetic programs, on the grounds that gene regulatory networks lack a predetermined schedule of execution, which may seem to contradict the very idea of a program. I show, however, that we can make perfect sense of genetic (...) programs, if only we abandon the preconception that all computers have a von Neumann architecture. Instead, genetic programs instantiate the computational architecture of Post–Newell Production Systems. That is, genetic programs are unordered sets of conditional instructions, instructions that fire independently when their conditions are matched. For illustration I present a paradigm Production System that regulates the functioning of the well-known lac operon of E. coli. On close reflection it turns out that not only genes, but also proteins encode instructions. I propose, therefore, to rename genetic programs to biomolecular programs. Biomolecular and/or genetic programs, and the cellular computers than run them, are to be understood not as von Neumann computers, but as Post–Newell production systems. (shrink)

People with the kind of preferences that give rise to the St. Petersburg paradox are problematic---but not because there is anything wrong with infinite utilities. Rather, such people cannot assign the St. Petersburg gamble any value that any kind of outcome could possibly have. Their preferences also violate an infinitary generalization of Savage's Sure Thing Principle, which we call the *Countable Sure Thing Principle*, as well as an infinitary generalization of von Neumann and Morgenstern's Independence axiom, which we call (...) *Countable Independence*. In violating these principles, they display foibles like those of people who deviate from standard expected utility theory in more mundane cases: they choose dominated strategies, pay to avoid information, and reject expert advice. We precisely characterize the preference relations that satisfy Countable Independence in several equivalent ways: a structural constraint on preferences, a representation theorem, and the principle we began with, that every prospect has a value that some outcome could have. (shrink)

Since John Von Neumann's proposition in 1932 of a relationship between quantum mechanics and the brain, different perspectives and proposals have evolved (Tarlaci, 2010). Hu & Wu (2006) point out that the seat of consciousness would be the spin within the membranes of neurons and proteins in the brain. Sieb (2016) applied the theory of relativity to spatiotemporal consciousness and found correlations with aspects of brain functioning. Another suggestion is that consciousness emerges because of the Orchestrated Objective Reduction in (...) microtubules (Hameroff & Penrose, 2003). However, few studies about the psychological implications of the relationship between quantum mechanics and the brain and its application to individual psychology exist. (shrink)

In 1957, Feyerabend delivered a paper titled ‘On the Quantum-Theory of Measurement’ at the Colston Research Symposium in Bristol to sketch a completion of von Neumann's measurement scheme without collapse, using only unitary quantum dynamics and well-motivated statistical assumptions about macroscopic quantum systems. Feyerabend's paper has been recognised as an early contribution to quantum measurement, anticipating certain aspects of decoherence. Our paper reassesses the physical and philosophical content of Feyerabend's contribution, detailing the technical steps as well as its overall (...) philosophical motivations and consequences. Summarising our results, Feyerabend interpreted collapse as a positivist assumption in quantum mechanics leading to a strict distinction between the uninterpreted formalism of unitary evolution in quantum mechanics and the classically interpreted observational language describing post-measurement outcomes. Thus Feyerabend took the no-collapse completion of the von Neumann measurement scheme to show the dispensability of the positivist assumption, leading the way to a realistic interpretation of quantum theory. We note, however, that there are substantial problems with his account of measurement that bring into question its viability as a legitimate foil to the orthodox view. We further argue that his dissatisfaction with the von Neumann measurement scheme is indicative of early views on theoretical pluralism. (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)

Could a sufficiently detailed computer simulation of consciousness replicate consciousness? In other words, is performing the right computations sufficient for artificial consciousness? Or will there remain a difference between simulating and being a conscious system, because the right computations must be implemented in the right way? From the perspective of Karl Friston's free energy principle, self-organising systems (such as living organisms) share a set of properties that could be realised in artificial systems, but are not instantiated by computers with a (...) classical (von Neumann) architecture. I argue that at least one of these properties, viz. a certain kind of causal flow, can be used to draw a distinction between systems that merely simulate, and those that actually replicate consciousness. Since this property is instantiated by all systems that conform to the free energy principle (not just conscious beings), the account on offer here can be extended to draw a distinction between simulating and being a certain type of system, more generally. In particular, this may inform meta-ethical accounts of artificial moral status and artificial moral agency. (shrink)

“There’s Plenty of Room at the Bottom”, said the title of Richard Feynman’s 1959 seminal conference at the California Institute of Technology. Fifty years on, nanotechnologies have led computer scientists to pay close attention to the links between physical reality and information processing. Not all the physical requirements of optimal computation are captured by traditional models—one still largely missing is reversibility. The dynamic laws of physics are reversible at microphysical level, distinct initial states of a system leading to distinct final (...) states. On the other hand, as von Neumann already conjectured, irreversible information processing is expensive: to erase a single bit of information costs ~3 × 10−21 joules at room temperature. Information entropy is a thermodynamic cost, to be paid in non-computational energy dissipation. This paper addresses the problem drawing on Edward Fredkin’s Finite Nature hypothesis: the ultimate nature of the universe is discrete and finite, satisfying the axioms of classical, atomistic mereology. The chosen model is a cellular automaton with reversible dynamics, capable of retaining memory of the information present at the beginning of the universe. Such a CA can implement the Boolean logical operations and the other building bricks of computation: it can develop and host all-purpose computers. The model is a candidate for the realization of computational systems, capable of exploiting the resources of the physical world in an efficient way, for they can host logical circuits with negligible internal energy dissipation. (shrink)

This paper provides a brief introduction to quantum theory and the proceeds to discuss the different ways in which the relationship between quantum theory and mind/consciousness is seen in some of the main alternative interpretations of quantum theory namely by Bohr; von Neumann; Penrose: Everett; and Bohm and Hiley. It briefly considers how qualia might be explained in a quantum framework, and makes a connection to research on quantum biology, quantum cognition and quantum computation. The paper notes that it (...) is widely agreed that conscious experience has dynamical and holistic features. It asks whether these features might in some way be a reflection of the dynamic and holistic quantum physical processes associated with the brain that may underlie (and make possible) the more mechanistic neurophysiological processes that contemporary cognitive neuroscience is measuring. If so, these macroscopic processes would be a kind of shadow, or amplification of the results of quantum processes at a deeper (pre-spatial or "implicate") level where our minds and conscious experience essentially live and unfold. The macroscopic, mechanistic level is of course necessary for communication, cognition and life as we know it, including science; but perhaps the experiencing (consciousness) of that world and the initiation of our actions takes place at a more subtle, non-mechanical level of the physical world, which quantum theory has begun to discover. At the very least a quantum perspective will help a “classical” consciousness theorist to become better aware of some of the hidden assumptions in his or her approach. Given that consciousness is widely thought to be a “hard” problem, its solution may well require us to question and revise some of our assumptions that now seem to us completely obvious. This is what quantum theory is all about – learning, on the basis of scientific experiments, to question the “obvious” truths about the nature of the physical world and to come up with more coherent alternatives. (shrink)

The Schrodinger's Cat and Wigner's Friend thought experiments, which logically follow from the universality of quantum mechanics at all scales, have been repeatedly characterized as possible in principle, if perhaps difficult or impossible for all practical purposes. I show in this paper why these experiments, and interesting macroscopic superpositions in general, are actually impossible in principle. First, no macroscopic superposition can be created via the slow process of natural quantum packet dispersion because all macroscopic objects are inundated with decohering interactions (...) that constantly localize them. Second, the SC/WF thought experiments depend on von Neumann-style amplification to achieve quickly what quantum dispersion achieves slowly. Finally, I show why such amplification cannot produce a macroscopic quantum superposition of an object relative to an external observer, no matter how well isolated the object from the observer, because: the object and observer are already well correlated to each other; and reducing their correlations to allow the object to achieve a macroscopic superposition relative to the observer is equally impossible, in principle, as creating a macroscopic superposition via the process of natural quantum dispersion. (shrink)

In this paper, we examine how a research institution’s social structure and academic opinion leaders’ presence shaped the early adoption of a scientific innovation. Our case considers the early engagement of mathematical economists at the Cowles Commission with John von Neumann and Oskar Morgenstern’s Theory of Games and Economic Behavior. We argue that scholars with administrative leadership functions who were not only scientifically but also organizationally central – in our case the director of research Jacob Marschak – played a (...) crucial role in promoting the adoption of the Theory of Games. We support our argument with a scientometric analysis of all acknowledgments made in 488 papers published from 1944 to 1955 in the two main paper series at Cowles. We apply blockmodeling techniques to the acknowledgments network to reconstruct the formal and informal social structure at Cowles at the time. Our findings suggest that studies of the early adoption of scientific theories benefit from complementary perspectives on the role of academic leaders and scientists. Our study reveals the importance of formal and informal social structures and the agenda of administrative leaders in these structures to explain their adoption. (shrink)

Whereas many others have scrutinized the Allais paradox from a theoretical angle, we study the paradox from an historical perspective and link our findings to a suggestion as to how decision theory could make use of it today. We emphasize that Allais proposed the paradox as a normative argument, concerned with ‘the rational man’ and not the ‘real man’, to use his words. Moreover, and more subtly, we argue that Allais had an unusual sense of the normative, being concerned not (...) so much with the rationality of choices as with the rationality of the agent as a person. These two claims are buttressed by a detailed investigation – the first of its kind – of the 1952 Paris conference on risk, which set the context for the invention of the paradox, and a detailed reconstruction – also the first of its kind – of Allais’s specific normative argument from his numerous but allusive writings. The paper contrasts these interpretations of what the paradox historically represented, with how it generally came to function within decision theory from the late 1970s onwards: that is, as an empirical refutation of the expected utility hypothesis, and more specifically of the condition of von Neumann–Morgenstern independence that underlies that hypothesis. While not denying that this use of the paradox was fruitful in many ways, we propose another use that turns out also to be compatible with an experimental perspective. Following Allais’s hints on ‘the experimental definition of rationality’, this new use consists in letting the experiment itself speak of the rationality or otherwise of the subjects. In the 1970s, a short sequence of papers inspired by Allais implemented original ways of eliciting the reasons guiding the subjects’ choices, and claimed to be able to draw relevant normative consequences from this information. We end by reviewing this forgotten experimental avenue not simply historically, but with a view to recommending it for possible use by decision theorists today. (shrink)

contents -/- ONT vol 1 i. short review: Beyond the Black Rainbow ii. as you die, hold one thought iii. short review: LA JETÉE -/- ONT vol 2 i. maya means ii. short review: SANS SOLEIL iii. vocab iv. eros has an underside v. short review: In the Mood for Love -/- ONT vol 3 i. weed weakens / compels me ii. an Ender's Game after-party iii. playroom is a realm of the dead iv. a precise german History v. short (...) review: STATUES ALSO DIE vi. Kenneth Clark, curator for Fascism vii. a protest poem, in industry lit viii. Lawrence and the English Romance -/- ONT vol 4 i. short review: The Eyes of Tammy Faye ii. vR is efficient R iii. all thru Asia, robes for monks iv. same of God, and of the one God sent v. i thought of the Messiah / muse would be vi. conscience is strong vii. a monk's exalted end -/- ONT vol 5 -/- i. for Shakespeare's Richard the Third ii. the truth is i pass over so many words iii. the boori nazar / nadhar iv. i've awe for jihaad v. short review: Hail, Caesar! vi. a minute of Nothing, gone from YouTube vii. we were rivalrous friends, again viii. my bardo pdf ix. within i'm a weak old mandarin -/- ONT vol 6 i. short review: The Intern ii. the confusion of Chinatown iii. we'll remember water, in Theology iv. Respironics versus ResMed v. i'd bet my life for what vi. the Mad Max deity vii. they'd kill my rat, not heal him -/- ONT vol 7 i. Austen would eroticize all life ii. Merchant/Ivory, a name oddly right iii. Ellie Arroway / Agent Starling iv. abattoir / l’abattoir / laboratoire v. von Neumann's brain an anomaly vi. was terrified of death, delighted in the a-bomb vii. the Greatest Brain is variously named -/- ONT vol 8 i. the day they shot the sacrifice ii. Yay or Nay, on Animal Testing iii. an ought is an is / an is is an ought iv. Behaviorism is for zombies v. a finding from the neuro-lab, on empathy vi. i’ve never had discernible abs vii. a cowardice i'm assenting to perpetually -/- ONT vol 9 i. Day of the Locust / Triffids ii. we're wide on a Paramount soundstage iii. HOLLYWOOD, an ecologic history iv. yet one more site of end-time art v. he's "a bookworm with bulging lobes" vi. apartment is my state of being apart vii. enlightenment means a weight's release -/- ONT lates and xtras i. re Gödel's ontological argument ii. deep in pi's numeric noise iii. from Nothing, something iv. endless in the wrong direction, tragic v. they give you all Eternity to answer vi. what of God's mercy? vii. informed consent and prayer viii. i won't live on. a deed i've done may ix. my selective memory x. Janus means: in close-up foam, two faces xi. a liveable world is a readable world xii. what Supervenes from this? xiii. at each extreme our naming is anachronism xiv. Cat is a collapsing of the wave-function xv. diminishing returns in the history of Experiment xvi. all those undershared Nobels xvii. ice preserves the Cold from heat xviii. a desert spreads xix. Pinker's wit, on jokes xx. Rome surrounds St. Paul / Paul is now the center xxi. each is a gathering Ministry xxii. white boy shot execution-style xxiii. the McDonald's Statement of Claim xxiv. first & last: Don Quixote / Ulysses xxv. The Summer of Rave xxvi. this electro is intrinsically anonymous xxvii. all thru Asia, Drake-Rihanna xxviii. WHO IS BETTER: PLATON OR KANT? (shrink)