The present article provides a mereological analysis of Euclid’s planar geometry as presented in the first two books of his Elements. As a standard of comparison, a brief survey of the basic concepts of planar geometry formulated in a set-theoretic framework is given in Section 2. Section 3.2, then, develops the theories of incidence and order using a blend of mereology and convex geometry. Section 3.3 explains Euclid’s “megethology”, i.e., his theory of magnitudes. In Euclid’s system of geometry, megethology takes (...) over the role played by the theory of congruence in modern accounts of geometry. Mereology and megethology are connected by Euclid’s Axiom 5: “The whole is greater than the part.” Section 4 compares Euclid’s theory of polygonal area, based on his “Whole-Greater-Than-Part” principle, to the account provided by Hilbert in his Grundlagen der Geometrie. An hypothesis is set forth why modern treatments of geometry abandon Euclid’s Axiom 5. Finally, in Section 5, the adequacy of atomistic mereology as a framework for a formal reconstruction of Euclid’s system of geometry is discussed. (shrink)

The present volume collects novel approaches to two classical topics within verbal semantics, namely argument structure and the treatment of time and aspect.

The present article first places Mach’s consideration about space and geometry into the context of the discussion of these issues in the nineteenth and early twentieth century and then proposes three interpretations of Mach’s thesis, put forward in chapter XXI of his Knowledge and Error, that the problem of measuring the volumes of material bodies is the origin of geometry. According to the first of these interpretations, Mach’s thesis is an assertion about the historical origin of the science of geometry. (...) Alternatively, one may understand Mach as suggesting that our geometric theorizing is best understood by relating it to our handling of material bodies and our interest in their volumes. Finally, Mach’s thesis may be conceived as asserting that the most appropriate form of geometry would be a metric geometry of the volumes of solids. The article concludes with a discussion of objections raised by Brentano against both Mach’s thesis of the priority of the measurement of volumes and his conception of bodies as complexes as sensations. (shrink)

In the 1930s Otto Selz developed a novel approach to the psychology of perception which he called “synthetic psychology of wholes”. This “synthetic psychology” is based on a phenomenological description of the structural relationships between elementary items building up integral wholes. The present article deals with Selz’s account of spatial cognition within this general framework. Selz Zeitschrift für Psychologie, 114, 351–362 argues that his approach to spatial cognition delivers answers to the long-discussed question of the epistemological status of the laws (...) of geometry. More specifically he tries to derive the Euclidean axioms from the structural laws valid for phenomenal space. After a brief description of the discussion of the status of geometry in the 1920s/1930, the present article explains Selz’s understanding of “phenomenology”. Section 4 then deals with Selz’s attempt to derive the Euclidean laws from the structural phenomenological laws of space. Selz’s attempted derivation suffers from some formal shortcomings, which however can be repaired. The question arises, though, whether the necessary improvements do not rely upon more intricate geometric intuitions and thus render Selz’s attempt to base geometry upon the phenomenology of spatial cognition circular. (shrink)

Following ideas elaborated by Hering in his celebrated analysis of color, the psychologist and gestalt theorist Otto Selz developed in the 1930s a theory of “natural space”, i.e., space as it is conceived by us. Selz’s thesis is that the geometric laws of natural space describe how the points of this space are related to each other by directions which are ordered in the same way as the points on a sphere. At the end of one of his articles, Selz (...) tries to derive within his framework two of Hilbert’s axioms for Euclidean geometry. Such derivations would, according to Selz, disclose the psychological origin and meaning of the geometric axioms and would thus contribute to a clarification of their epistemological status. In the present article Selz’s theory is explained and analyzed, his basic principles are amended, and implicit assumptions are made explicit. It is shown that the resulting system is one of ordered affine geometry in which all of Hilbert’s axioms except the axioms of congruence and those of continuity are derivable. The primary aim of the present paper is to make explicit the basic principles behind Selz’s geometry of natural space. The question of the logical independence of these principle is not investigated. (shrink)

Papers presented at a workshop held during 17th-18th, January, 2008 at Technische Universit'at Berlin.

Even beginners and young graduate students will have something to learn from this book." (Andre Hautot, Physicalia, Vol. 57 (3), 2005)"All-in-all, this highly ...

Societies change; and sociology has, since its inception, described and evaluated these changes. This article proposes a revised theory of collective learning processes, a conceptual framework which addresses ways in which people make sense of and cope with change. Drawing on Habermas’ classic proposal, but shifting the focus from argumentation towards storytelling, it explains how certain articulations allow for collective learning processes (imagining more inclusive orders), while others block learning processes (imagining more exclusive orders). More specifically, the article points to (...) narrative genres (romance, tragedy, comedy and irony) which organize feelings and shape the social bond, proposing that ironic and tragic stories have the potential to trigger collective learning processes, while romantic and comic stories tend to block them. (shrink)

In _The Idealism of Freedom_, Klaus Vieweg argues for a Hegelian turn in philosophy: Hegel’s idealism of freedom contains a number of epoch-making ideas that articulate a new understanding of freedom, which still shape contemporary philosophy.

La menzogna è irrinunciabile per vincere in politica? Davi ci spiega quali sono i meccanismi di persuasione a cui ricorrono taluni politici per farsi eleggere e quali le responsabilità di quegli elettori che scelgono comunque di votare chi sostiene anche ciò che non può essere vero. È indubbio che la comunicazione politica si rifaccia al simbolismo e al linguaggio delle favole; non necessariamente per occultare la realtà, ma più direttamente per esprimere con maggiore efficacia il suo messaggio. Alle celebri favole (...) di 'Biancaneve', 'Cenerentola', 'Il brutto anatroccolo' sono ricorsi infatti uomini politici del calibro di Berlusconi, Prodi, Nixon, Carter, Mitterrand e partiti quali la Democrazia Cristiana; l'hanno fatto per conquistare voti ma anche per attivare ampi meccanismi di consenso che attingessero direttamente dall'inconscio collettivo. Le conseguenze - ammonisce l'autore - possono essere molto serie, come nel caso dell'attuale politica americana che ha portato la manipolazione e l'inganno a essere riconosciuti come tratti identitari della presidenza di George W. Bush. (shrink)

In this book, linguists and philosophers combine to offer a unique insight not only into Grice's contribution to philosophy of language, but on his theories of natural and non-natural meaning, implicatures and the semantic-pragmatic distinction.

We highlight the need to focus on the underlying determinants and production mechanisms to fully understand the nature of facial expression of emotion and to settle the theoretical debate about the meaning of motor expression. Although emotion theorists have generally remained rather vague about the details of the process, this has been a central concern of componential appraisal theories. We describe the fundamental assumptions and predictions of this approach regarding the patterning of facial expressions for different emotions. We also review (...) recent evidence for the assumption that specific facial muscle movements may be reliable symptoms of certain appraisal outcomes and that facial expressions unfold over time on the basis of a sequence of appraisal check results. (shrink)

Appraisal theories of emotion have had a strong impact on the development of theory and experimental research in the domain of the affective sciences. While there is generally a high degree of convergence between theorists in this tradition, some central issues are open to debate. In this contribution three issues have been chosen for discussion: (a) varieties of relevance detection, (b) varieties of valence appraisal, and (c) sequential-cumulative effects of appraisal results. In addressing these issues, new theoretical ideas are suggested (...) and an update of recent research on the sequence of appraisal processes is provided. Special emphasis is placed on nonverbal signatures of appraisal processes. (shrink)

I show that in his De motu animalium Aristoteles proposes a teleology of the practical on the most general zoological level, i.e. on the level common to humans and self-moving animals. A teleology of the practical is a teleological account of the highest practical goals of animal and human self-motion. I argue that Aristotle conceives of such highest practical goals as goals that are contingently related to their realizations. Animal and human self-motion is the kind of action in which certain (...) state of affairs that realize values are mechanized. (shrink)

Aus dem Inhalt: Die transzendentallogische Funktion des Ich (Klaus Hammacher). - Du formel au transcendental: remarques sur l'itineraire de Husserl et de Fichte (Therese Pentzopoulou-Valalas). - Fichte und das Problem des intelligiblen Fatalismus (Georg Wallwitz). - Die Philosophie in Freiheit setzen: Freiheitsbegriff und Freiheit des Begriffs bei Schelling (Felix Duque).

Zusammenfassung Der Beitrag analysiert auf der Basis theoretischer Überlegungen sowie empirischer Ergebnisse Möglichkeiten und Grenzen einer „interkulturellen Öffnung“ von Sportvereinen, worunter Strukturanpassungen verstanden werden, die auf die Inklusion und Integration von Personen mit Migrationshintergrund zielen. Es wird gezeigt, inwiefern eine nachhaltige interkulturelle Öffnung der Vereine von der programmatischen Anbindung an den Vereinszweck, von der kontinuierlichen Behandlung in den Kommunikationswegen, von spezifischen Personalentscheidungen und der Kompatibilität mit der Organisationskultur abhängig ist.

Vorwort. Das Verhältnis zwischen transzendentalphilosophischem Denkansatz und evolutionärer Erkenntnistheorie, Thema unserer Wuppertaler Tagung vom Dezember 1990, diskutiert dieser Band in seinen ersten beiden Teilen aus sehr...

Charles Taylor indicates in A Secular Age his admiration for Henri de Lubac, Yves Congar, and other Catholic theologians associated with la nouvelle théologie. This essay reads de Lubac and Taylor on the secular, analyzing convergences as well as key differences. In particular, it argues that both underestimate the possibilities of political and liberation theologies. The concluding section puts de Lubac and Taylor in dialogue with forms of political theology that have been in dialogue with their work. The author argues (...) that a stronger political theology can be drawn out of the approach of de Lubac and Taylor despite the trepidations of each toward such a project. (shrink)

This important and challenging book is the fruit of many years of engagement with Aristotle’s thinking about the soul-body relation by one of the most distingui.

The goal of this paper is to propose a unified approach to the split scope readings of negative indefinites, comparative quantifiers, and numerals. There are two main observations that justify this approach. First, split scope shows the same kinds of restrictions across these different quantifiers. Second, split scope always involves low existential force. In our approach, following Sauerland, natural language determiner quantifiers are quantifiers over choice functions, of type <<,t>,t>. In split readings, the quantifier over choice functions scopes above other (...) operators (such as intensional verbs like must or can). Determiner quantifiers leave a choice-function trace when they move and this trace combines with the noun restriction, which is interpreted low. That split scope always involves low existential force is derived, without stipulation, from Kratzer’s idea that low existential force can be achieved via binding (into the noun restriction). (shrink)

This paper discusses Aristotle's notion of the practical syllogism. It is argued that the notion of ‘practical’ reasoning in the sense of reasoning which implies motion in one sense or the other is alien to Aristotle's philosophy of nature. All (at least in type) the relevant passages will be discussed. The outcome is that there are three different contexts in which it would be justified to speak of practical syllogisms: (i) human deliberation, (ii) the illustration of the triggering cause of (...) animal motion, and (iii) the teleological ex post explanationof human action. (i) is genuine, but non-deductive reasoning which does not immediately result in action/motion, whereas (ii) is not genuine reasoning, but an analogy with deductive reasoning. Finally, the relation between (i) and (ii) in Aristotle's theory of animal motion will be discussed. (shrink)

Proceedings of the NATO Advanced Study Institute on Proof and Computation, held in Marktoberdorf, Germany, July 20 - August 1, 1993.

The aim of this chapter is to explain Aristotle’s definition of the vegetative part of the soul in the De anima from a methodological point of view. I discuss Aristotle’s conception of the soul and his conception of “parts of the soul” before I turn to his definition of the vegetative part of the soul in De anima II 4. I argue that the definition of the vegetative capacity is deliberately abstract so as to cover its various activities under one (...) common heading. I also argue that the De anima deliberately avoids a positive and determinate description of the activity of the soul that is properly responsible for the vegetative functions, and that Aristotle offers such a positive and determinate description in his works dedicated to the actions and affections “common to body and soul”. (shrink)

Dieses Buch entwirft mit den Mitteln einer frei an Husserl und Heidegger anknüpfenden Phänomenologie der Welt eine neue systematische Interpretation des in Israel entstandenen und in Judentum, Christentum und Islam weiterbestehenden Glaubens an den einen Gott. Der Weltbezug versetzt die phänomenologische Analyse dieses Monotheimus in die Lage, über seine Herkunft ebenso wie über seine denkbare Zukunft mehr Klarheit als bisher zu gewinnen. Grundzug der Herkunft ist die Selbstunterscheidung des biblischen Glaubens an den einen Wüstengott, der sich jeder lebensweltlichen Anschauung entzieht, (...) von dem in dieser Hinsicht eingängigeren Polytheismus. Als mögliche Zukunft zeichnet sich eine Tragödie ab: Der antipolytheistische Glaube treibt in seiner christlichen Spielart sich selbst gerade dadurch in den Untergang, dass er im Zeitalter der globalisierten Erfahrung der einen Welt in seine reine Gestalt gelangt und so einer radikalen Vergessenheit der Lebenswelt anheimfällt. (shrink)

Diese komparatistische Monographie stellt zentrale Kategorien und Theorien der Literaturwissenschaft dar. Sie synthetisiert und bewertet den Stand der Forschung und unterwirft viele Dogmen der neueren Forschung einer kritischen Analyse. Resultat ist eine Reformulierung des theoretischen Kernbestandes der Literaturwissenschaft für die zentralen Kategorien Interpretation, Fiktion, Performativität, Intertextualität, Gattung, Epoche. Der Band richtet sich an alle Wissenschaften, die mit Texten als Erkenntnisobjekten umgehen; neben der Literaturwissenschaft sind also auch die Theaterwissenschaft, die Sprachwissenschaft, die Sprachphilosophie, die Kunstwissenschaft, die Geschichtswissenschaft sowie Theologie und Jurisprudenz (...) angesprochen. (shrink)