In this paper, we discuss formal reconstructions of Anselm’s ontological argument. We first present a number of requirements that any successful reconstruction should meet. We then offer a detailed preparatory study of the basic concepts involved in Anselm’s argument. Next, we present our own reconstructions—one in modal logic and one in classical logic—and compare them with each other and with existing reconstructions from the reviewed literature. Finally, we try to show why and how one can gain a better understanding of (...) Anselm’s argument by using modern formal logic. In particular, we try to explain why formal reconstructions of the argument, despite its apparent simplicity, tend to become quite involved. (shrink)

This paper deals with modality in Peirce's existential graphs, as expressed in his gamma and tinctured systems. We aim at showing that there were two philosophically motivated decisions of Peirce's that, in the end, hindered him from producing a modern, conclusive system of modal logic. Finally, we propose emendations and modifications to Peirce's modal graphical tinctured systems and to their underlying ideas that will produce modern modal systems.

In this paper, we deal with the issue of contradictory beliefs, particularly with regard to Philosophical Counseling: both voices from the philosophical tradition (with no claim of being exhaustive!) and concepts developed by philosophical practitioners will be considered, in order to make clear what a wide range of resources for dealing with contradictions is available to the philosopher who may wish to engage in Philosophical Counseling. Among the philosophical practitioners, we devote special consideration to Ben Mijuskovic and Gerd Achenbach, and (...) this for two main reasons: first, because the issue of contradiction plays a central role in their concept of Philosophical Counseling and, accordingly, it is given special consideration in their writings; second, because their approaches to Philosophical Counseling are so different that by looking at them one can get an impression of the variety of the positions one can adopt in Philosophical Counseling with respect to the issue of contradiction. (shrink)

Unter Philosophischer Praxis versteht man professionell betriebene philosophische Lebensberatung. In diesem Artikel werden eine kontinentale Konzeption von Philosophischer Praxis und eine analytische – anhand von Aufsätzen von Gerd Achenbach und Ben Mijuskovic – gegenübergestellt und mit einigen Bemerkungen Wittgensteins in Beziehung gesetzt. Es zeigt sich, dass diese Bemerkungen als Korrektiv sowohl der kontinentalen als auch der analytischen Auffassung gelesen werden können.

Whether mathematical truths are syntactical (as Rudolf Carnap claimed) or empirical (as Mill actually never claimed, though Carnap claimed that he did) might seem merely an academic topic. However, it becomes a practical concern as soon as we consider the role of questions. For if we inquire as to the truth of a mathematical statement, this question must be (in a certain respect) meaningless for Carnap, as its truth or falsity is certain in advance due to its purely syntactical (or (...) formal-semantical) nature. In contrast, for Mill such a question is as valid as any other. These differing views have their consequences for contemporary erotetic logic. (shrink)

Name der Zeitschrift: Wittgenstein-Studien Jahrgang: 5 Heft: 1 Seiten: 179-204.

This paper pursues two objects which are partially interfering: to study the relation between the different definitions of both παϱάδειγμα and ἐπαγωγή given by Aristotle in Topics, Rhetorics, and Analytica Priora, to clarify the relation between the definition of ἐπαγωγή and the example Aristotle offers in Analytica Priora. Both the corresponding definitions in relation to each other and the definition in relation to the example show some incompatibilities. The problems concerning the definitions may be solved by understanding them as adapted (...) to the context; whereas I suppose the deviation of the example from the definition to be simply a mistake. (shrink)

(No abstract is available for this citation).

Nikolaus von Kues veranschaulicht sein metaphysisch-theologisches Prinzip der coincidentia oppositorum anhand geometrischer Konstruktionen. Eine dieser Darstellungen bringt den Beryll ins Spiel. Ich versuche, seine Rolle in Cusanus’ Ausführungen zu klären und Parallelen aufzuzeigen zwischen dem Einsatz dieses Instruments und Strategien der Begriffsbildung in der heutigen Mathematik. Nicolaus of Cusa illustrates his metaphysico-theological principle of ›coincidentia oppositorum‹ by means of geometrical constructions. One of these representations uses a beryl as an auxiliary instrument. In this paper, I attempt to explore the role (...) played by the beryl in Cusanus’ considerations, and to demonstrate some similarities between his use of this instrument and certain strategies in the formation of concepts in modern mathematics. (shrink)

In this paper the history of formulas and their role in philosophy is discussed. The historical analysis of the first and second part considers both the phaenomena and the terminology. The first part tries to define or rather classify formulas, the second to identify first occurrences of formulas in different contexts. The third part studies some examples of the use of ›formulas‹ and formulas – in the work of Descartes, Kant, Frege, Adorno, and Lacan.

Online, offline, Linienflug, rote Linie, Richtlinie, Horizont – in unserer Sprache und unserem Alltag sind Linien omnipräsent. Auch in Künsten, Philosophie und Wissenschaften spielen sie eine zentrale Rolle. Sie sind grundlegend wie Bild, Schrift oder Zahl. Aus der Selbstverständlichkeit, mit der sie unsere Orientierung steuern, unser Denken ordnen und unserer visuellen Erfahrung Gestalt geben, hebt der Band einen komplexen Zusammenhang heraus: Er führt in Texte aus verschiedenen historischen Zusammenhängen ein, in denen Begriff und Phänomen der Linie ausdrücklich und exemplarisch zum (...) Gegenstand von Theoriebildung werden. Linien wirken als elementare Mittel der Welterschließung, doch erfüllen sie diese Funktion in unterschiedlichen Feldern auf jeweils andere Weise. Dieser Heterogenität trägt die Konzentration auf fünf ausgewählte Schwerpunkte Rechnung: auf Mathematik/Geometrie, Philosophie, Ethnographie/Anthropologie, Geographie/Kartographie, Kunsttheorie und -wissenschaft. Prägnanz und Leistung der jeweiligen Reflexionen werden ebenso gezeigt wie faszinierende Querverbindungen zwischen den einzelnen Bereichen. Das Buch wendet sich insbesondere an WissenschaftlerInnen sowie an ein breites kulturwissenschaftlich interessiertes Publikum. (shrink)

Whether mathematical truths are syntactical or empirical might seem merely an academic topic. However, it becomes a practical concern as soon as we consider the role of questions. For if we inquire as to the truth of a mathematical statement, this question must be meaningless for Carnap, as its truth or falsity is certain in advance due to its purely syntactical nature. In contrast, for Mill such a question is as valid as any other. These differing views have their consequences (...) for contemporary erotetic logic.Pitanje jesu li matematičke istine sintaktičke ili empirijske može se činiti puko akademskom temom. Međutim, to postaje praktično pitanje čim razmotrimo ulogu pitanjâ. Jer pitamo li za istinitost neke matematičke tvrdnje, za Carnapa ovo pitanje mora biti besmisleno, budući da je njezina istinitost ili neistinitost unaprijed izvjesna zahvaljujući njezinoj puko sintaktičkoj naravi. Nasuprot ovome, za Milla je takvo pitanje valjano kao i bilo koje drugo pitanje. Ova različita shvaćanja imaju svoje posljedice za suvremenu erotetičku logiku. (shrink)

Whether mathematical truths are syntactical or empirical might seem merely an academic topic. However, it becomes a practical concern as soon as we consider the role of questions. For if we inquire as to the truth of a mathematical statement, this question must be meaningless for Carnap, as its truth or falsity is certain in advance due to its purely syntactical nature. In contrast, for Mill such a question is as valid as any other. These differing views have their consequences (...) for contemporaryerotetic logic. (shrink)

In his Tractatus de Consequentiis, the 14th century logician John Buridan states a theorem, which reads like a refutation of Aristotelian Syllogistics. Syllogistics in its usual form, indeed, faces problems when propositions about the divine persons are involved, and, in some cases, when past- or future-tense propositions occur. Buridan offers different ways of overcoming some of these obstacles. The first aim of this paper is to analyse these ways, the second aim is to draw some conclusions concerning Buridan’s understanding of (...) logic and its relation to theology. (shrink)