The use of figurate numbers (e. g. in the context of elementary number theory) can be considered a heuristic in the field of problem solving or proving. In this paper, we want to discuss this heuristic from the perspectives of the semiotic theory of Peirce (“diagrammatic reasoning” and “collateral knowledge”) and cognitive psychology (“schema theory” and “Gestalt psychology”). We will make use of several results taken from our research to illustrate first-year students’ problems when dealing with figurate numbers in the (...) context of proving. The considerations taken from both theoretical perspectives will help to partly explain such phenomena. It will be shown that the use of figurate numbers must not be considered to be any kind of help for learners or some way of ‘easy’ mathematics. Working in this representational system has to be learned and practiced as another kind of knowledge is necessary for working with figurate numbers. The named findings also touch upon the concept of ‘proofs that explain’. Finally, we will highlight some implications for teaching and point to a number of demands for future research. (shrink)

The Sense of a Beginning is the first comprehensive exploration of the openings of novels. With a title that deliberately echoes Frank Kermode's famous book on endings, the book addresses the formal challenge of opening lines, especially in modernism, and illustrates their significance to both literary creation and literary criticism. Niels Buch Leander's approach is wide-ranging, examining how beginnings in fiction relate to beginnings in nature, how they work from a formal and narrative point of view, how modernist self-awareness (...) plays out in openings, and how openings have altered criticism itself through intertextuality. Drawing on examples from D. H. Lawrence, Thomas Mann, Paul Valery, and more, as well as appraisals by critics like Roland Barthes and Edward Said, Leander fills a truly surprising gap in literary scholarship. (shrink)

ZusammenfassungDieser Beitrag ist Teil des Forums COVID-19: Perspektiven in den Geistes- und Sozialwissenschaften. Medizingeschichte wird gegenwärtig mit wenigen Ausnahmen als Geschichte der Humanmedizin geschrieben. COVID-19 und andere zoonotische Infektionskrankheiten legen allerdings nahe, Medizingeschichte grundsätzlich ökologischer zu denken und nicht-menschliche Akteur*innen sowie verschiedene „Umwelten“ miteinzubeziehen. Der vorliegende Beitrag diskutiert mögliche Ansätze für eine ökologische Medizingeschichte, die der Überlagerung mehrerer Krisen gerecht wird und aktuelle Dringlichkeiten aufgreift.

In this paper, I use a framework from computational linguistics, the Rational Speech Act framework, to model deceptive probabilistic communication. This account allows agents to discount for the biases they perceive their interlocutors to have. This way, agents can update their credences with the perceived interests of others in mind.

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In this article, we present a new logical framework to think about surprise. This research does not just aim to better understand, model and predict human behaviour, but also attempts to provide tools for implementing artificial agents. Moreover, these artificial agents should then also be able to reap the same epistemic benefits from surprise as humans do. We start by discussing the dominant literature regarding propositional surprise and explore its shortcomings. These shortcomings are of both an empirical and a conceptual (...) nature. Next, we propose a philosophical solution to the problems that ail these systems, based on the notion of issue of epistemic interest. Finally, we give a formal framework to think about surprise. More specifically, we develop a probabilistic dynamic epistemic logic that succeeds at formalizing the relevant philosophical concepts. This will be done through an issue management system grounded in topology. As an added bonus, the additional expressive power allows us to capture a richer variety of scenarios, and it also enables a more careful analysis of said scenarios. (shrink)

This review essay explores the potential of a European perspective on the history of epidemics and pandemics over the last three centuries. To this end, it follows Benoît Majerus’ proposal to distinguish four different “European” perspectives on the history of medicine. Europe is simultaneously an imaginary, geographical, imperial, and integrative space. As an imaginary space (1), “European” ideas about pandemics reveal a specific conception of public health and the state; as a geographical space (2), many historical case studies examined the (...) development of comparable “European” practices at the national level; as an imperial space (3), it is necessary to provincialize Europe and ask about knowledge production and practices in non-European countries; and as an integrative space (4), European responses to pandemics and epidemics represent a neglected but important aspect of European integration. This essay can only suggest that the European perspective is an interesting analytical category for both the history of pandemics and the history of “Europe.”. (shrink)

This paper presents a theory of the syntactic aspects of human sentence production. An important characteristic of unprepared speech is that overt pronunciation of a sentence can be initiated before the speaker has completely worked out the meaning content he or she is going to express in that sentence. Apparently, the speaker is able to build up a syntactically coherent utterance out of a series of syntactic fragments each rendering a new part of the meaning content. This incremental, left‐to‐right mode (...) of sentence production is the central capability of the proposed Incremental Procedural Grammar (IPG). Certain other properties of spontaneous speech, as derivable from speech errors, hesitations, self‐repairs, and language pathology, are accounted for as well.The psychological plausibility thus gained by the grammar appears compatible with a satisfactory level of linguistic plausibility in that sentences receive structural descriptions which are in line with current theories of grammar. More importantly, an explanation for the existence of configurational conditions on transformations and other linguistics rules is proposed.The basic design feature of IPG which gives rise to these psychologically and linguistically desirable properties, is the “Procedures + Stack” concept. Sentences are built not by a central constructing agency which overlooks the whole process but by a team of syntactic procedures (modules) which work—in parallel—on small parts of the sentence, have only a limited overview, and whose sole communication channel is a stack.IPG covers object complement constructions, interrogatives, and word order in main and subordinate clauses. It handles unbounded dependencies, crossserial dependencies and coordination phenomena such as gapping and conjunction reduction. It is also capable of generating self‐repairs and elliptical answers to questions. IPG has been implemented as an incremental Dutch sentence generator written in LISP. (shrink)

In this paper, we take a fresh look at three Popperian concepts: riskiness, falsifiability, and truthlikeness of scientific hypotheses or theories. First, we make explicit the dimensions that underlie the notion of riskiness. Secondly, we examine if and how degrees of falsifiability can be defined, and how they are related to various dimensions of the concept of riskiness as well as the experimental context. Thirdly, we consider the relation of riskiness to truthlikeness. Throughout, we pay special attention to probabilistic theories (...) and we offer a tentative, quantitative account of verisimilitude for probabilistic theories. (shrink)

Human beings can be ethically frail under the pressure of situational forces, therefore the constraining force of the law is required. The ethics community need to have the confidence and courage to seek for the best ethical guidelines to become such constraining laws. However laws are themselves only ethical when they informed by a consensus that includes and represents the needs of the parties they are intended to protect, therefore the voice of the volunteer must be heard. Specific examples are (...) adduced to show how the current Clinical Trials Regulations are either insufficient in their scope, or not being fully met. To conclude eight suggestions are given as to how volunteers might be better protected. These include the establishment of an independent funded body to inform and support volunteers, a volunteers charter, greater consultation with volunteers, and a change in ethos involving a more egalitarian partnership between all those involved in the development of new medicines. (shrink)

The “fearful ape hypothesis” could be regarded as one aspect of a more general “suffering ape hypothesis”: Humans are more likely to experience negative emotions (e.g., fear, sadness), aversive symptoms (e.g., pain, fever), and to engage in self-harming behavior (e.g., cutting, suicide attempts) because these might motivate affiliative, consolatory, and supportive behavior from their prosocial environment thereby enhancing evolutionary fitness.

Alles, was der Mensch von sich wissen kann, lässt sich an den Werkzeugen und Medien ablesen, die er gebraucht. Diese These steht im Mittelpunkt des Werks von Ernst Kapp (1808-1896), Gymnasiallehrer für Geschichte und Erdkunde, Technikphilosoph und Farmer in Texas. Obwohl Ernst Kapp unbestritten als Begründer der modernen Technikphilosophie gilt, ist sein anthropologischer Ansatz bislang kaum systematisch rezipiert worden. Zwar wird sein Werk in Überblicken meist als wichtiger Ausgangspunkt für die Technikphilosophie des 20. Jahrhunderts genannt, sein heuristisches Theorem der Organprojektion (...) wird dabei jedoch oft falsch als Vorläufer der Prothesentheorie von Freud bis McLuhan eingeordnet und nicht als kulturhistorische Erkenntnistheorie verstanden. Bei dem vorliegenden Buch handelt es sich um den ersten Forschungsband zum Werk von Ernst Kapp. Mit Beiträgen von Suzana Alpsancar, Christine Blättler, Lorenz Engell, Volker Gerhardt, Frank Hartmann, Christoph Hubig, Friedrich A. Kittler, Harun Maye, Alfred Nordmann, Birgit Recki, Hans-Martin Sass, Leander Scholz, Johanna Seifert, Christiane Voss und Niels Werber"--Back cover. (shrink)

Die Reihe versammelt Forschung in deutscher und englischer Sprache, die die Trias aus Kultur, Text und Medium in ihrer wechselseitigen Bezogenheit zum Gegenstand der Untersuchung macht. Prozesse des Mitteilens und der Vermittlung entfalten sich stets in kulturellen Zusammenhängen, auf die sie auch zurückwirken. In der Reihe werden Kommunikationskulturen sowohl als Effekt von Formgebung als auch mit Blick auf ihre medialen Bedingungen untersucht.

This paper is part of the Forum COVID-19: Perspectives in the Humanities and Social Sciences. The history of medicine is mostly written as a history of human medicine. COVID-19 and other zoonotic infectious diseases, however, demand a reconsideration of medical history in terms of ecology and the inclusion of non-human actors and diverse environments. This contribution discusses possible approaches for an ecological history of medicine which satisfies the needs of several current and overlapping crises.

In logical geometry, Aristotelian diagrams are studied in a precise and systematic way. Although there has recently been a good amount of progress in logical geometry, it is still unknown which underlying mathematical framework is best suited for formalizing the study of these diagrams. Hence, in this paper, the main aim is to formulate such a framework, using the powerful language of category theory. We build multiple categories, which all have Aristotelian diagrams as their objects, while having different kinds of (...) morphisms between these diagrams. The categories developed here are assessed according to their ability to generalize previous work from logical geometry as well as their interesting category-theoretical properties. According to these evaluations, the most promising category has as its morphisms those functions on fragments that increase in informativity on both the opposition and implication relations. Focusing on this category can significantly increase the effectiveness of further research in logical geometry. (shrink)

Marine interstitial environments are teeming with an extraordinary diversity of coexisting microeukaryotic lineages collectively called “meiofauna.” Interstitial habitats are broadly distributed across the planet, and the complex physical features of these environments have persisted, much like they exist today, throughout the history of eukaryotes, if not longer. Although our general understanding of the biological diversity in these environments is relatively poor, compelling examples of developmental heterochrony (e.g., pedomorphosis) and convergent evolution appear to be widespread among meiofauna. Therefore, an improved understanding (...) of meiofaunal biodiversity is expected to provide some of the deepest insights into the following themes in evolutionary biology: (i) the origins of novel body plans, (ii) macroevolutionary patterns of miniaturization, and (iii) the intersection of evolution and community assembly – e.g., “community convergence” involving distantly related lineages that span the tree of eukaryotes. (shrink)

It is now time! Time to stop worrying about the Bible and to start worrying about ourselves. Time to stop using the Bible and to start living with it. And time to stop telling the Bible what it means and to let its mythological character restore imagination to our thought and praise.

This article explores one aspect of digital politics, the politics of videos and more specifically of DAESH recruitment videos. It proposes a practice theoretical approach to the politics of DAESH recruitment videos focused on the re-production of regimes of (in)visibility. The article develops an argument demonstrating specifically how digital and commercial logics characterize the aesthetic, circulatory, and infrastructuring practices re-producing the regime of (in)visibility. It shows that digital/commercial logics are at the heart of the combinatorial marketing of multiple, contradictory images (...) of the DAESH polity in the videos; that they are core to the participatory, entrepreneurial, individualized and affective processes of contagion determining whom the videos reach and involve; and that they shape the sorting, linking, flagging and censoring of the videos that define their accessibility on the internet. The theoretical and political cost of overlooking these digital and commercial characteristics of DAESH visibility practices are high. It perpetuates misconceptions of how the videos work and what their politics are and it reinforces the digital Orientalism/occidentalism in which these misconceptions are anchored. (shrink)

Standing literally at the center of the New Testament, the Paul who emerges from the letters and Acts is a richly diverse figure, about whom no easy conclusions can be reached concerning his historical shape or theological legacy.

Paul s interpretation of the Christ event, thoroughly apocalyptic in tone, nevertheless reflects the creative transformation of Christian tradition and experience to be found everywhere in his letters.

The prior issue of Krisis (42:1) published Critical Naturalism: A Manifesto, with the aim to instigate a debate of the issues raised in this manifesto – the necessary re-thinking of the role (and the concept) of nature in critical theory in relation to questions of ecology, health, and inequality. Since Krisis considers itself a place for philosophical debates that take contemporary struggles as starting point, it issued an open call and solicited responses to the manifesto. This is one of the (...) sixteen selected responses, which augment, specify, or question the assumptions and arguments of the manifesto. (shrink)

Examining the work on dialogue done by Gadamer, Habermas and Derrida, this article shows the theoretical depth and complexity of this concept. Drawing together different views, its highlights the stakes of the competing understandings of this topic. The diversity in their individual conceptualisations of dialogue gives an insight into the wealth of conceptual resources that is hidden in this word. This piece reads selected pieces from these thinkers through the lens of the concept of dialogue — building and refining a (...) definition of what dialogue could mean. (shrink)

Animals populate our artistic and philosophical discourses in critical ways. From Jacques Derrida's or Karen Barad's cat, to Donna Haraway's dog, to the fish in Lucien Castaing-Taylor and Véréna Paravel's Leviathan, these animals feature heavily in discussions regarding limits – the limits of the human and thus its relation with non-humans, but also the limits of knowledge itself. Cute or dangerous, real or fantasised, dead or alive: in this article, I juxtapose the various ways that such animals confront us with (...) what Jacques Derrida describes as “the point of view of the absolute other”. Similarly, recent texts stage encounters with animals – thus distributing agency towards a larger variety of beings, carving out space for a previously excluded non-human other. Yet these encounters are mediated in profoundly different ways. In researching how encounters with the animal are differentially inflected and “defracted” respective to the medium in which they are staged, this article invokes questions of form and style within the critical dialogue that attempts to centre non-human animals. Highlighting how formal decisions are not accidental, but rather integral, to the praxis of the philosophy of animality, this article aims to draw attention to how specific forms and styles allow for a moment of contact with a non-human other. To this end, this article examines three oft-cited encounters: Derrida's encounter with his cat, an intense stare with a fish in Leviathan, and Barad's inflection of Schrödinger's cat. This juxtaposition gives insight into the limits of certain styles of producing thought and critically reflects on these works in their discussion of non-human life and agency. (shrink)

Grodzinsky interprets linguistic differences between agrammatic comprehension and production symptoms as supporting the hypothesis that the mechanisms underlying grammatical encoding (sentence formulation) and grammatical decoding (syntactic parsing) are at least partially distinct. This inference is shown to be premature. A range of experimentally established similarities between the encoding and decoding processes is highlighted, testifying to the viability of the hypothesis that receptive and productive syntactic tasks are performed by the same syntactic processor.

Le propos de ce texte est d’interroger quelques-unes des mises en discours de la notion de risque appliquée à l’enfant, afin de soulever les questions éthiques trop souvent laissées dans l’ombre et néanmoins inhérentes à ces discours. Les auteurs analysent principalement ceux qui proviennent de la psychologie, de la démographie et de la sociologie de la famille à propos de l’impact des désunions conjugales sur le destin des enfants. Cela afin de démontrer l’extrême polysémie de la notion de risque et (...) d’interroger les effets stigmatisants du recours abusif à cette notion du côté des interventions publiques. (shrink)