Logic and Foundations of Mathematics Commons^™

Polylogics. Towards A Formalization Of Polycontextural Logics, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.

Limits Of Truth: Exploring Epistemological Approaches To Argumentation, Michael H.G. Hoffmann

Michael H.G. Hoffmann

Some proponents of epistemological approaches to argumentation (Biro, Siegel, Lumer, Goldman) assume that it should be possible to develop non-relative criteria of argument evaluation. By contrast, this paper argues that any evaluation of an argument depends (a) on the cognitive situation of the evaluator, (b) on background knowledge that is available for this evaluator in a certain situation, and (c)—in some cases—on the belief-value-system this person shares.

Logical Argument Mapping: A Method For Overcoming Cognitive Problems Of Conflict Management, Michael H.G. Hoffmann

Michael H.G. Hoffmann

A crucial problem of conflict management is that whatever happens in negotiations will be interpreted and framed by stakeholders based on their different belief-value systems and world views. This problem will be discussed in the first part of this article as the main cognitive problem of conflict management. The second part develops a general semiotic solution of this problem, based on Charles Peirce's concept of "diagrammatic reasoning." The basic idea is that by representing one 's thought in diagrams, the conditions that determine interpretations can become visible, we can "experiment" with them, and we can change them eventually. The third …

What You Should Know To Survive In Knowledge Societies. On A Semiotic Understanding Of 'Knowledge', Michael H.G. Hoffmann

Michael H.G. Hoffmann

Different situations - like school and workplace - demand different forms of knowledge. Even more important, in particular for lifelong learning, are forms of knowledge we need for managing movements between those situations. To develop a better understanding of how to 'navigate' knowledge boundaries, this paper analyzes, firstly, interviews with scientists interpreting familiar and unfamiliar graphs. Our goal is to identify those forms of knowledge that should receive special attention in education. Secondly, the article elaborates - based on Peirce's semiotic - an epistemologically reflected semiotic model to describe the role and conditions of knowledge.

Miniaturen. Studien Zu Kalkül Und Kreativität 1998-2002, Rudolf Kaehr

Rudolf Kaehr

Informatik, künstlerische Praktik und Kunsttheorie der digitalen Bildtechnologien NULL&NICHTS; weder leer, noch nicht – oder Kraut und Rüben Gedanken zu einer autonomen Medienwissenschaft Das Menschenbild aus der Sicht einer polykontexturalen Systemtheorie Thesen zum trans-klassischen Menschenbild Gebaute Phantasien, unkontrollierbare Schwankungen Kreativität und Kalkül Ver_Endungen in/der Programmierbarkeit Diagrammatik: Denken a la Carte Zur Verstörung des (H)ortes der Zerstörung Zur Kenogrammatik der Medientheorie

Dynamic Semantic Web, Rudolf Kaehr

Rudolf Kaehr

Dynamic Semantic Web (DSW) is based at first on the techniques, methods and paradigms of the emerging Semantic Web movement and its applications. DSW is advancing one fundamental step further from a static to a dynamic concept of the Semantic Web with extended flexibility in the navigation between ontologies and more profound transparency of the informational system. Web Services are now redefinded by Semantic Web. To proof the advantages of DSW, it is the main aim of this project to develop the tools and methods necessary to develop a DSW based Web Service (DSW business application). The existing framework of …

How To Get It. Diagrammatic Reasoning As A Tool Of Knowledge Development And Its Pragmatic Dimension, Michael H.G. Hoffmann

Michael H.G. Hoffmann

Discussions concerning belief revision, theory development, and "creativity" in philosophy and AI, reveal a growing interest in Peirce's concept of abduction. Peirce introduced abduction in an attempt to provide theoretical dignity and clarification to the difficult problem of knowledge generation. He wrote that "An Abduction is Originary in respect to being the only kind of argument which starts a new idea." These discussions, however, have led to considerable debates about the precise way in which Peirce's abduction can be used to explain knowledge generation. The crucial question is that of understanding how we can get the new elements capable of …

Learning By Developing Knowledge Networks. A Semiotic Approach Within A Dialectical Framework, Michael H.G. Hoffmann, Wolf-Michael Roth

Michael H.G. Hoffmann

A central challenge for research on how we should prepare students to manage crossing boundaries between different knowledge settings in life long learning processes is to identify those forms of knowledge that are particularly relevant here. In this paper, we develop by philosophical means the concept of a dialectical system as a general framework to describe the development of knowledge networks that mark the starting point for learning processes, and we use semiotics to discuss (a) the epistemological thesis that any cognitive access to our world of objects is mediated by signs and (b) diagrammatic reasoning and abduction as those …

Peirce's "Diagrammatic Reasoning" As A Solution Of The Learning Paradox, Michael H.G. Hoffmann

Michael H.G. Hoffmann

How can we reach “new” levels of knowledge if “new” means that there is something “evolved” that cannot be generated simply by deduction or by induction from what has been given before. The paper’s first goal is to show that two paradigmatic attempts at solving this so-called “learning paradox,” Plato’s apriorism and Aristotle’s inductivism, form two horns of a dilemma: While the inductivist cannot justify any representation of data without assuming a priori given hypotheses, the apriorist cannot justify why a certain application of given ideas is correct without being caught in an infinite regress. The second goal is to …

Lernende Lernen Abduktiv: Eine Methodologie Kreativen Denkens, Michael H.G. Hoffmann

Michael H.G. Hoffmann

No abstract provided.

Strukturationen Der Interaktivität, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.

The Shield Of Achiles, State, Security And New Wars (El Escudo De Aquiles, Estado, Seguridad Y Nuevas Guerras) Spanish, Fernando Estrada

Fernando Estrada

At this stage of the manifestation of irregular warfare conflicts becomes porous, bottom to top and back. The security of states depends on a weak shield vulnerable to unforeseen terrorist actions. This will not come labeled by a single identity but multiplied their masks, may be a timid bystander who walks the streets at noon sweater dress with a teacher dressed and slow. The security policy imposes severe restrictions on basic freedoms, including perhaps most importantly, individual privacy or family.

Abstracting Aristotle’S Philosophy Of Mathematics, John J. Cleary

Research Resources

In the history of science perhaps the most influential Aristotelian division was that

between mathematics and physics. From our modern perspective this seems like an unfortunate deviation from the Platonic unification of the two disciplines, which guided Kepler and Galileo towards the modern scientific revolution. By contrast, Aristotle’s sharp distinction between the disciplines seems to have led to a barren scholasticism in physics, together with an arid instrumentalism in Ptolemaic astronomy. On the positive side, however, astronomy was liberated from commonsense realism for the conceptual experiments of Aristarchus of Samos, whose heliocentric hypothesis was not adopted by later astronomers because …

Joachim Castella: Studien Zur Thematik "Kalkül Und Kreativität", Rudolf Kaehr

Rudolf Kaehr

Utopie der Zeichen – Zeichen der Utopie Vilém Flusser und Gotthard Günther als Komplement einer neuen Medienphilosophie Medientheorie als Theoriemedium Prolegomena einer allgemeinenMedientheorie Philosophie des LMR Joachim Castella 2000/2001

Peirces Zeichenbegriff: Seine Funktionen, Seine Phänomenologische Grundlegung Und Seine Differenzierung, Michael H.G. Hoffmann

Michael H.G. Hoffmann

No abstract provided.

Die Paradoxie Des Lernens Und Ein Semiotischer Ansatz Zu Ihrer Auflösung, Michael H.G. Hoffmann

Michael H.G. Hoffmann

No abstract provided.

Mathematik Als Prozess Der Verallgemeinerung Von Zeichen: Eine Exemplarische Unterrichtseinheit Zur Entdeckung Der Inkommensurabilität, Michael H.G. Hoffmann, Manfred Plöger

Michael H.G. Hoffmann

No abstract provided.

Rhetoric In The Civil Wars, Fernando Estrada

Fernando Estrada

Using the conceptual network of Lakoff / Facounnier / Perelman, This article explores the role of language in civil wars. In particular, the ideology in the discourse formed paramilitary in Colombia

Grundlagenreflexionen Zur Thematik Anthropomorpher Schnittstellen, Rudolf Kaehr

Rudolf Kaehr

Report for the EMBASSI Project

Problems With Peirce's Concept Of Abduction, Michael H.G. Hoffmann

Michael H.G. Hoffmann

Abductive reasoning takes place in forming "hypotheses" in order to explain "facts." Thus, the concept of abduction promises an understanding of creativity in science and learning. It raises, however, also a lot of problems. Some of them will be discussed in this paper: After analyzing the difference between induction and abduction (1), I shall discuss Peirce's claim that there is a "logic" of abduction (2). The thesis is that this claim can be understood, if we make a clear distinction between inferential elements and perceptive elements of abductive reasoning. For Peirce, the creative act of forming explanatory hypotheses and the …

Erkenntnistheoretische Grundlagen Des Lernens: Lernen Als Verallgemeinerung, Michael H.G. Hoffmann

Michael H.G. Hoffmann

Ziel dieses Beitrages ist es, ein Projekt der am Institut für Didaktik der Mathematik (IDM) in Bielefeld beheimateten Arbeitsgruppe Erkenntnistheoretische und semiotische Grundlagen des Mathematik-Lernens vorzustellen und in eine bestimmte Richtung mathematikdidaktischer Forschung einzuordnen, wie sie von Michael Otte vertreten wird, dem Leiter der genannten Arbeitsgruppe. Dabei geht es insbesondere um mögliche Beziehungen zwischen Philosophie und Mathematik-Didaktik.

Das Problem Der Zukunft Im Rahmen Holistischer Ethiken. Im Ausgang Von Platon Und Peirce, Michael H.G. Hoffmann

Michael H.G. Hoffmann

No abstract provided.

Disseminatorik. Zur Dekonstruktion Der Techno-Logik, Rudolf Kaehr

Rudolf Kaehr

POLYKONTEXTURALE LOGIK. Zur Konzeption, Formalisierung und Validierung. PROÖMIK UND DISSEMINATORIK Abbreviaturen transklassischen Denkens. DISKONTEXTURALITATEN: WOZU NEUE FORMEN DES DENKENS? Zur Kritik der logischen Voraussetzungen der Second Order Cybernetics und der Systemtheorie DISSEMINATORIK: ZUR LOGIK DER 'SECOND ORDER CYBERNETICS' Von den 'Laws of Form' zur Logik der Reflexionsform VOM 'SELBST' IN DER SELBSTORGANISATION Reflexionen zu den Problemen der Konzeptionalisierung und Formalisierung selbstbezüglicher Strukturbildungen SUFI´S DRAI: WOZU DISKONTEXTURALITATEN IN DER AI ? KALKÜLE FÜR SELBSTREFERENTIALITAT ODER SELBSTREFERENTIELLE KALKÜLE? SKIZZE EINER GRAPHEMATISCHEN SYSTEMTHEORIE Zur Problematik der Heterarchie verteilter Systeme im Kontext der New „second-order“ Cybernetics EINÜBUNG IN EINE ANDERE LEKTÜRE. Diagramm einer Rekonstruktion …

Philosophy, Rationality And Argumentation (Libro: Filosofía, Racionalidad Y Argumentación) Spanish, Fernando Estrada

Fernando Estrada

My interest is to understand the problems with some careful handling of the issues, I believe, relevant. Aristotle, Sophocles, Descartes, Hobbes, Kant, Foucault, Popper and other thinkers, are analyzed in their own texts, or in other cases of individual straight to interpret the problems they posed. It is "the freedom the individual, "" democracy "," body "," man, "language" "Ethics," "rationality," "the argumentacin" etc.. For the reader is book support, a resource for which he is challenged to read reseados texts, a letter with ways to analyze in different directions to locate each one that cause you most concern

Jona Oder Die Kunst, Unrecht Haben Zu Können. Überlegungen Zur Hermeneutischen Praxis, Michael H.G. Hoffmann

Michael H.G. Hoffmann

No abstract provided.

The "Realization Of The Due-Measure" As Structural Principle In Plato's Statesman, Michael H.G. Hoffmann

Michael H.G. Hoffmann

No abstract provided.

What Has Mathematics Got To Do With Values?, Stephen Lerman

Humanistic Mathematics Network Journal

No abstract provided.

Paul Feyerabend, Against Method (Typoscript 1969), Rudolf Kaehr

Rudolf Kaehr

Facsimile of Paul Feyerabend's AGAINST METHOD Original typoscript of Against Methods from 1968 with handwritten corrections. Last sentence, p. 116: "We must take care that it does not lose its ability to make such a choice."

Paul Feyerabend's Telegram, Rudolf Kaehr

Rudolf Kaehr

6-page telegram from Paul Feyerabend (London) to Rolf Kaehr (Westberlin) Telegram 1 I am ill. Please let the seminar continue in my absence. Inform Prof Landmann and Prof Huebner, cancel the hotel reservation and read the following final message to my class on tuesday 1pm: I am sorry that I cannot give what Telegram 2 would have been my last lecture to you. In this lecture I would have elaborated on Verons argument and would have tried to show that it also excludes consience, self expression, identification. Turning back to the empiricist methodology and demand for theoretical unification I would …