Vorlesungen über die Algebra der Logik ist ein unveränderter, hochwertiger Nachdruck der Originalausgabe aus dem Jahr 1890. Hansebooks ist Herausgeber von Literatur zu unterschiedlichen Themengebieten wie Forschung und Wissenschaft, Reisen und Expeditionen, Kochen und Ernährung, Medizin und weiteren Genres. Der Schwerpunkt des Verlages liegt auf dem Erhalt historischer Literatur. Viele Werke historischer Schriftsteller und Wissenschaftler sind heute nur noch als Antiquitäten erhältlich. Hansebooks verlegt diese Bücher neu und trägt damit zum Erhalt selten gewordener Literatur und historischem Wissen auch für die (...) Zukunft bei. (shrink)

We discuss conceptual change and progress within mathematics, in particular how tools, structural concepts and representations are transferred between fields that appear to be unconnected or remote from each other. The theoretical background is provided by the frame concept, which is used in linguistics, cognitive science and artificial intelligence to model how explicitly given information is combined with expectations deriving from background knowledge. In mathematical proofs, we distinguish two kinds of frames, namely structural frames and ontological frames. The interaction between (...) both kinds of frames can drive mathematical interpretation. We first discuss two examples where structural frames (formulaic notation) drive ontological development (the discovery or exploration of mathematical objects). The development of Boole’s Boolean algebra may at first appear as a metaphorical treatment of the (then) new area of logic. In the analysis, we discuss how different (aspects of) certain algebraic frames change in the transfer, how arising difficulties are solved and overall argue that Boole uses the numerical algebra frame as a research template for the discovery of a system for calculations in logic. Following Ifrah, we analyse the discovery of zero as an extension to the number ontology as driven by the development of notation. Both structural and ontological frames are extended and simplified as notation progresses. Finally, we discuss two examples from infinite combinatorics, viz. topological graph theory, and one foundational issue. In both examples, the two simultaneous frames about one object are maintained independently. They motivate different research questions, but may also fruitfully interact: shifting between multiple synchronously maintained perspectives acts as a motor of innovation. The analysis shows how a frame-based approach allows to model how different perspectives drive mathematical innovation because they highlight different aspects, questions and heuristics. (shrink)

We propose a unified theory of intentions as neural processes that integrate representations of states of affairs, actions, and emotional evaluation. We show how this theory provides answers to philosophical questions about the concept of intention, psychological questions about human behavior, computational questions about the relations between belief and action, and neuroscientific questions about how the brain produces actions. Our theory of intention ties together biologically plausible mechanisms for belief, planning, and motor control. The computational feasibility of these mechanisms is (...) shown by a model that simulates psychologically important cases of intention. (shrink)

Teaching ethics in public health programmes is not routine everywhere – at least not in most schools of public health in the European region. Yet empirical evidence shows that schools of public health are more and more interested in the integration of ethics in their curricula, since public health professionals often have to face difficult ethical decisions.

Frames are a concept in knowledge representation that explains how the receiver, using background information, completes the information conveyed by the sender. This concept is used in different disciplines, most notably in cognitive linguistics and artificial intelligence. This paper argues that frames can serve as the basis for describing mathematical proofs. The usefulness of the concept is illustrated by giving a partial formalisation of proof frames, specifically focusing on induction proofs, and relevant parts of the mathematical theory within which the (...) proofs are conducted; for the latter, we look at natural numbers and trees specifically. (shrink)

Frames are a concept in knowledge representation that explains how the receiver, using background information, completes the information conveyed by the sender. This concept is used in different disciplines, most notably in cognitive linguistics and artificial intelligence. This paper argues that frames can serve as the basis for describing mathematical proofs. The usefulness of the concept is illustrated by giving a partial formalisation of proof frames, specifically focusing on induction proofs, and relevant parts of the mathematical theory within which the (...) proofs are conducted; for the latter, we look at natural numbers and trees specifically. (shrink)

In this article we investigate whether long-term radioactive waste management by means of geological disposal can be understood as a social experiment. Geological disposal is a rather particular technology in the way it deals with the analytical and ethical complexities implied by the idea of technological innovation as social experimentation, because it is presented as a technology that ultimately functions without human involvement. We argue that, even when the long term function of the ‘social’ is foreseen to be restricted to (...) safeguarding the functioning of the ‘technical’, geological disposal is still a social experiment. In order to better understand this argument and explore how it could be addressed, we elaborate the idea of social experimentation with the notion of co-production and the analytical tools of delegation, prescription and network as developed by actor-network theory. In doing so we emphasize that geological disposal inherently involves relations between surface and subsurface, between humans and nonhumans, between the social, material and natural realm, and that these relations require recognition and further elaboration. In other words, we argue that geological disposal concurrently is a social and a technical experiment, or better, a long-term socio-technical experiment. We end with proposing the idea of ‘actor-networking’ as a sensitizing concept for future research into what geological disposal as a socio-technical experiment could look like. (shrink)

English summary: Deism, the "Religionsphilosophie der Aufklarung" (religious philosophy of the Enlightenment, Ernst Troeltsch) played a significant role in the modernization of philosophy in the early modern age and of European culture in a broader sense. Although this has been known for a long time, there is still the need for a differentiated overall picture of the subject. Therefore, on the occasion of Gunter Gawlick's 80th birthday in June 2010, a seminar on the manifestations of Deism in Europe was held (...) at the "Herzog August Bibliothek Wolfenbuttel" (library of Duke August of Brunswick-Wolfenbuttel). The resulting anthology, edited by Winfried Schroder, assembles the partial results of current research on Deism, thereby providing a definition of Deism's role in the cultural, ideological and intellectual history of early modern times. German description: Zu den philosophie- und theologiegeschichtlichen Formationen, denen in der Zeitspanne zwischen dem spaten 16. und dem 18. Jahrhundert die Uberwindung der vormodernen Welt die wichtigsten Impulse verdankt, gehort ohne Zweifel der Deismus. Seine Leitideen sind der Gedanke der Suffizienz einer um moralische Vorschriften zentrierten 'naturlichen' Religion, die aus blosser Vernunft zuganglich ist, die Uberflussigkeit einer ubernaturlichen Offenbarung und die daraus abgeleitete Forderung nach Toleranz und Denkfreiheit. Diese Ideen weisen den Deismus geradezu als "die Religionsphilosophie der Aufklarung" (Ernst Troeltsch) aus. Diese massgebliche Rolle, die der Deismus im Modernisierungsprozess der fruhneuzeitlichen Philosophie und der europaischen Kultur im weiteren Sinne gespielt hat, ist seit langem bekannt - und doch fehlt es an einem differenzierten Gesamtbild. In den letzten Jahrzehnten sind zum einen wichtige Forschungsertrage erzielt worden, zum anderen hat die Deismus-Forschung etliche Desiderate festgestellt, denen sie teilweise bereits nachgegangen ist. Aus Anlass des 80. Geburtstags von Gunter Gawlick fand deshalb im Juni 2010 ein Arbeitsgesprach zu den Gestalten des Deismus in Europa in der Herzog August Bibliothek Wolfenbuttel statt. Der zugehorige von Winfried Schroder herausgegebene Sammelband bundelt die Teilergebnisse der bisherigen Desismus-Forschung zu einer Positionsbestimmung des Deismus in der Kultur-, Ideen- und Geistesgeschichte der Fruhen Neuzeit. (shrink)

One of several problems concerning the possibility of mental causation is that the causal potential of a supervenient property seems to be absorbed by its supervenience base if that base and the supervenient property are not identical. If the causal powers of the supervenient property are a proper subset of the causal powers of the supervenience base then, according to the causal individuation of properties, the supervenience base seems to do all the causal work and the supervenient property appears to (...) be futile. Against this consequence it is possible to argue, first, that the relevant properties of causes must be in some sense proportional to the relevant properties of their effects and, second, that the principle of causal closure serving as a premise in the supervenience argument is probably false. The constraint that the relevant properties of causes should be proportional to the relevant properties of their effects together with the falsity of the closure principle leads to a restoration of the causal efficacy of supervenient properties. (shrink)

ZusammenfassungDer vorliegende Beitrag diskutiert das Konzept eines säkularen Religionsunterrichts als fachdidaktischen Ausgangspunkt einer religionswissenschaftlich ausgerichteten schulischen Religionskunde. „Säkularität“ erweist sich in diesem Zusammenhang als contested concept: Eine religionswissenschaftlich-konzeptionelle Perspektive, die Säkularität als eine weltanschaulich neutrale Metaperspektive interpretiert (Säkularität 1), steht idealtypisch einer individuell-identitätsformativen (Säkularität 2) sowie einer weltanschaulich-normativen (Säkularität 3) Interpretation eines säkularen Religionsunterrichts gegenüber, die in der schulpraktischen Wirklichkeit in Deutschland historisch dominieren. Der Artikel mündet in ein Plädoyer für einen differenzierteren und bewussteren bildungspolitischen Umgang mit einer säkularen Rahmung (...) von Religion/en in religionsbezogenem Unterricht in Deutschland und eine Stärkung des von der Religionswissenschaft präferierten Säkularitätsverständnisses. (shrink)

This paper tries to show that Kim's strategy of preventing the problem of generalization of mental causation is not successful and that his original supervenience argument can be applied to cases of nonmental macrolevel causation, with the effect that nonmental macroproperties which only supervene on, but are not identical with, configurations of microproperties turn out to be epiphenomenal after all.

Theodor W. Adorno, one of the leading social thinkers of the twentieth century, long concerned himself with the problems of moral philosophy, or "whether the good life is a genuine possibility in the present." This book consists of a course of seventeen lectures given in May-July 1963. Captured by tape recorder, these lectures present a somewhat different, and more accessible, Adorno from the one who composed the faultlessly articulated and almost forbiddingly perfect prose of the works published in his lifetime. (...) Here we can follow Adorno's thought in the process of formation, endowed with the spontaneity and energy of the spoken word. The lectures focus largely on Kant, "a thinker in whose work the question of morality is most sharply contrasted with other spheres of existence." After discussing a number of the Kantian categories of moral philosophy, Adorno considers other, seemingly more immediate general problems, such as the nature of moral norms, the good life, and the relation of relativism and nihilism. In the course of the lectures, Adorno addresses a wide range of topics, including: theory and practice, ethics as bad conscience, the repressive character, the problem of freedom, dialectics in Kant and Hegel, the nature of reason, the moral law as a given, psychoanalysis, the element of the Absurd, freedom and law, the Protestant tradition of morality, _Hamlet,_ self-determination, phenomenology, the concept of the will, the idea of humanity, _The Wild Duck,_ and Nietzsche's critique of morality. (shrink)

Die Beiträge zur Altertumskunde enthalten Monographien, Sammelbände, Editionen, Übersetzungen und Kommentare zu Themen aus den Bereichen Klassische, Mittel- und Neulateinische Philologie, Alte Geschichte, Archäologie, Antike Philosophie sowie Nachwirken der Antike bis in die Neuzeit. Dadurch leistet die Reihe einen umfassenden Beitrag zur Erschließung klassischer Literatur und zur Forschung im gesamten Gebiet der Altertumswissenschaften.

In a recent paper, probabilistic processes are used to generate Borel probability measures on topological spaces X that are equipped with a representation in the sense of type-2 theory of effectivity. This gives rise to a natural representation of the set of Borel probability measures on X. We compare this representation to a canonically constructed representation which encodes a Borel probability measure as a lower semicontinuous function from the open sets to the unit interval. We show that this canonical representation (...) is admissible with respect to the weak topology on Borel probability measures. Moreover, we prove that for countably-based topological spaces the representation via probabilistic processes is equivalent to the canonical representation and thus admissible with respect to the weak topology. (shrink)

This article provides a transcription and analysis of a newly located fragment of Kant’s autograph fair copy of his essay on Perpetual Peace. The 4-page manuscript is part of the John Wild Autograph Collection at Princeton University (USA) and constitutes the immediate sequel to a similar fragment preserved in the Staatsarchiv Hamburg and published in Kant-Studien 77 (1986). The Princeton fragment was not included in volume 23 of the Akademie-Ausgabe and was unavailable to recent editors; it presents a number of (...) textual variants and allows new insights into Kant’s writing process. (shrink)

Zusammenfassung Der vorliegende Beitrag schlägt sechs religionswissenschaftliche Metakonzepte als fachliche Bausteine einer Didaktik für schulische Religionskunde vor. Exemplarisch werden das Metakonzept „Religion als essentially contested concept“ und seine Implikationen für anzustrebende Lernwege im Religionskundeunterricht ausführlich erörtert. Die Metakonzepte bieten nicht nur eine Alternative zu essenzialistischen Kanonentwürfen wie dem Weltreligionenparadigma in der Diskussion um die Inhaltsdimension von Religionskundeunterricht; sie können und sollen auch als Beitrag zum Selbstverständigungsdiskurs der Religionswissenschaft als akademische Disziplin gelesen werden.

Definition of the problem This article critically addresses the conceptualization of trust in the ethical discussion on artificial intelligence (AI) in the specific context of social robots in care. First, we attempt to define in which respect we can speak of ‘social’ robots and how their ‘social affordances’ affect the human propensity to trust in human–robot interaction. Against this background, we examine the use of the concept of ‘trust’ and ‘trustworthiness’ with respect to the guidelines and recommendations of the High-Level (...) Expert Group on AI of the European Union. Arguments Trust is analyzed as a multidimensional concept and phenomenon that must be primarily understood as departing from trusting as a human functioning and capability. To trust is an essential part of the human basic capability to form relations with others. We further want to discuss the concept of _responsivity _which has been established in phenomenological research as a foundational structure of the relation between the self and the other. We argue that trust and trusting as a capability is fundamentally _responsive_ and needs responsive others to be realized. An understanding of _responsivity_ is thus crucial to conceptualize trusting in the ethical framework of human flourishing. We apply a phenomenological–anthropological analysis to explore the link between certain qualities of social robots that construct responsiveness and thereby simulate responsivity and the human propensity to trust. Conclusion Against this background, we want to critically ask whether the concept of trustworthiness in social human–robot interaction could be misguided because of the limited ethical demands that the constructed responsiveness of social robots is able to answer to. (shrink)

Im Angesicht der Klimakatastrophe häufen sich die Versuche, Autor*innen der frühen Kritischen Theorie in Debatten um das sogenannte Anthropozän einzubringen. Häufig wird eine produktive Auseinandersetzung mit anderen Theorietraditionen allerdings kategorisch verweigert. In diesem Beitrag wird Theodor W. Adornos Naturbegriff in ein Gespräch mit den Arbeiten der Wissenschaftstheoretikerin Donna J. Haraway gebracht. Er zeigt, dass die gemeinsame Diskussion einen wertvollen Beitrag zu einer Kritik an gesellschaftlichen Naturverhältnissen leisten kann. Dafür werden zunächst Punkte der Überschneidung in den jeweiligen Naturbegriffen herausgearbeitet. Anschließend wird (...) die Differenz in der Frage danach, wie sich innerhalb der Logik der Naturbeherrschung dem Besonderen oder Nichtidentischen überhaupt genähert werden kann, ausgehend von dem Verhältnis von Kritik und Spekulation in beiden Ansätzen diskutiert. Es wird argumentiert, dass Adorno auch die spekulativen Momente unter die Identitätslogik der Naturbeherrschung subsumiert, während Haraway einige dieser Fallstricke vermeiden kann. Allerdings drohen ihre Spekulationen den Kontakt zum Gegenstand der Kritik zu verlieren. Zwischen den diskutierten Ansätzen lässt sich ein Verhältnis von Spekulation und Kritik anvisieren, das die Ausarbeitung eines Naturbegriffs ermöglichen kann, der auf ein herrschaftsfreies Zusammenleben aller abzielt. (shrink)

Philosophical texts of the early modern era in which sanctions were imposed on those who entertained deviating views require a particular hermeneutical approach: According to Leo Strauss the interpreter's task is to uncover their esoteric messages. The contributions both address the methodological problems of Strauss's hermeneutics and discuss paradigmatic cases of candidates for a reading between the lines: Hobbes, Spinoza, and Bayle.".

This paper makes a comparison between naturalist and non-naturalist theories of consciousness with respect to their explanatory merits. It focuses on David Rosenthal's higher-order thought theory, arguing that the motives for higher-order theories are based on a confusion of three distinct meanings of the term 'intrinsic'. The explanatory power of HOT theories is compared with that of an alternative nonrepresentational theory, offered as an example of a naturalistic account. The latter is found overall to have more virtues and less shortcomings (...) that the higher-order theory. (shrink)

Paper prepared for the XVIII World Congress of Philosophy, Brighton, U.K.

Martin Davies' criterion for the knowledge of implicit rules, viz. the causal systematicity of cognitive processes, is first exposed. Then the inference from causal systematicity of a process to syntactic properties of the input states is examined. It is argued that Davies' notion of a syntactic property is too weak to bear the conclusion that causal systematicity implies a language of thought as far as the input states are concerned. Next, it is shown that Davies' criterion leads to a counterintuitive (...) consequence: it groups together distributed connectionist systems with look-up tables. To avoid this consequence, a modified construal of causal systematicity is proposed and Davies' argument for the causal systematicity of thought is shown to be question-begging. It is briefly sketched how the modified construal links up with multiple dispositions of the same categorical base. Finally, the question of the causal efficacy of single rules is distinguished from the question of their psychological reality: implicit rules might be psychologically real without being causally efficacious. (shrink)

ZusammenfassungIn diesem Aufsatz wird diskutiert, wie die Erkenntnisse aus Religionspsychologie und Cognitive Science of Religion für die Religionswissenschaft zugänglich werden können. Das geschieht im Rahmen eines transdiziplinären Konzeptes von Religionswissenschaft. Beide individualistischen Zugänge zu Religion\en werden kurz in Bezug auf religionstheoretische Unterschiede und die Gemeinsamkeit im Bereich des kognitionspsychologischen Paradigmas eingeführt. Für die Auseinandersetzung mit der Cognitive Science of Religion wird dargestellt, wie trotz des ontologischen Reduktionismus und in Auseinandersetzung mit dem epistemologischen Reduktionismus ein Bezug zu anderen disziplinären Zugängen der (...) Religionswissenschaft möglich ist. Dabei wird ihr Naturalismus einer Lesart des methodischen Konstruktivismus unterworfen. Es wird gezeigt, wie empirisch überprüfbare Theorien der Cognitive Science of Religion und der Religionspsychologie auf Grundlage der nomothetisch-deduktiven Wissenschaftstheorie weiterentwickelt werden, die Hubert Seiwert und Bretislav Horyna bereits in die Religionswissenschaft eingeführt haben. Insgesamt ist dies ein Vorschlag, sich in der Auseinandersetzung mit der Cognitive Science of Religion nicht so sehr an den Prämissen und Unterschieden aufzuhalten, sondern die psychologische Perspektive als Ergänzung in der Beschreibung und Erklärung von Religion\en zu behandeln. (shrink)

The present study, for the first time, provides a comparative analysis of the objections raised against Christianity by late antique pagan philosophers (esp. Celsus in Alethes logos, Porphyry in Contra Christianos, and Julian the Apostate in Contra Gali-laeos) and Enlightenment philosophers and freethinkers and examines the impact of pagan thinking on the critique of Christianity in the 16th to 18th centuries - in particular, on discussions concerning the authority of the Bible, biblical exegesis, the Christian concept of faith, religious coercion (...) and the uniformity of faith, the belief in miracles, and the Christ-ian understanding of morality. (shrink)

While current literature on examination and testing mostly engages with the objectivity of exams and their procedural logic, this article is concerned with the ‘ethical dimension’ of examination: Examinations provoke a particular relation to oneself, possibly self-transformation. The praxis of examination entails self-confrontation in the light of the uncertainty regarding that which is expected of the self. Referring to an example taken from the field of early education, four ‘figures' – positional difference, exposition, identification, and representation – are used in (...) a heuristic manner to elaborate on the ethical dimension in examination. The aim of the paper is to view ‘examination’ from a theoretical point of view focusing on practices, on the one hand, and to analyze the ethical norms and expectations that the self is addressed with in the field of early education, on the other. (shrink)

The present authors have given a mathematical model of Mach's principle and of the Mach–Einstein doctrine about the complete induction of the inertial masses by the gravitation of the universe. The analytical formulation of the Mach–Einstein doctrine is based on Riemann's generalization of the Lagrangian analytical mechanics (with a generalization of the Galilean transformation) on Mach's definition of the inertial mass and on Einstein's principle of equivalence. All local and cosmological effects—which are postulated as consequences of Mach's principle by C. (...) Neumann, Mach, Friedländer and Einstein—result from the Riemannian dynamics with the Mach–Einstein doctrine. In celestial mechanics it follows, in addition, Einstein's formula for the perihelion motion. In cosmology, the Riemannian mechanics yields two models of an evolutionary universe with the expansion lows R ~ t or R ~ t2. In this paper, secular consequences of the Mach–Einstein doctrine are examined concerning palaeogeophysics and celestial mechanics. The research predicted secular decrease of the Earth's flattening and secular acceleration of the motion of the Moon and of the planets. The numerical values of this secular effect agree very well with the empirical facts. In all cases, the secular variation $\dot{\alpha}$ of the parameter α is the order of magnitude $\dot{\alpha}=-H_0 \alpha$ , where H0 is the instantaneous value of the Hubble constant: $H_0 =\left({\dot{R}/R} \right)_0 \approx \left( {0.5-1.0} \right) \times 10^{-10}a^{-1}$ . The relation of the secular consequences of the Mach–Einstein doctrine to those of Dirac's hypothesis on the expanding Earth, and to Darwin's theory of tidal friction are also discussed. (shrink)

Die Aufklärung erfuhr ihre wohl radikalste Infragestellung in Max Horkheimers und Theodor W. Adornos Dialektik der Aufklärung. Ihre These, dass die Aufklärung, statt Emanzipation und Humanität zu befördern, verhängnisvolle Folgen zeitigte, stützt sich einerseits auf eine grundsätzliche Rationalitätskritik, andererseits auf eine Analyse der Philosophien von Autoren, die sie als Protagonisten der Aufklärung einstufen: Bacon, Spinoza, Kant und de Sade. Zwar ist ‚Aufklärung‘ im Sinne Horkheimers und Adornos ein von Anbeginn mit der okzidentalen Kultur verbundenes Phänomen. Doch trat aus ihrer Sicht (...) erst in den Philosophien des 17. und 18. Jahrhunderts ihre ambivalente, ja fatale Natur vollends zutage. Während sich die Diskussionen über die Dialektik der Aufklärung zumeist auf die grundsätzliche Rationalitätskritik Horkheimers und Adornos konzentrierten, haben Philosophiehistoriker nur selten die Frage aufgeworfen, ob die dort herangezogenen Philosophen tatsächlich geeignete Kronzeugen ihrer Aufklärungskritik sind. Ziel des vorliegenden Bandes ist es daher, das von Horkheimer und Adorno gezeichnete Gesamtbild der Aufklärung und ihre Interpretationen Bacons, Spinozas, Kants und de Sades auf den Prüfstand zu stellen. (shrink)