Seeking a historical-philosophical approach to science teaching, narrative texts have been used as pedagogical tools to improve the learning experience of students. A review of the literature of different types of narrative texts and their different rates of effectiveness in science education is presented. This study was developed using the so-called Historical Narrative as a tool to introduce science content from a historical-philosophical approach, aiming to discuss science as a human construction. This project was carried out in a 9th grade (...) Physics class in K-12 school, in Rio de Janeiro, Brazil. The steps involved in constructing a Historical Narrative based on the controversy over animal electrical fluid between Luigi Galvani and Alessandro Volta is reported herein. Finally, qualitative research results of the activities inspired by this Historical Narrative are presented with the purpose of answering the research question: to what extent do Historical Narratives support and enhance discussions about the Nature of Science, through teaching the scientific content in a historical-philosophical approach with 9th grade students? The results indicate that Historical Narrative, based on historical episodes, is a good “door opener” to teach scientific content in a historical-philosophical approach, introducing discussions about the Nature of Science without neglecting the scientific content or simplifying the discussions about the NOS. (shrink)

Georg Cantor's absolute infinity, the paradoxical Burali-Forti class Ω of all ordinals, is a monstrous non-entity for which being called a "class" is an undeserved dignity. This must be the ultimate vexation for mathematical philosophers who hold on to some residual sense of realism in set theory. By careful use of Ω, we can rescue Georg Cantor's 1899 "proof" sketch of the Well-Ordering Theorem––being generous, considering his declining health. We take the contrapositive of Cantor's suggestion and add Zermelo's choice function. (...) This results in a concise and uncomplicated proof of the Well-Ordering Theorem. (shrink)

Schmitz zieht in diesem Buch die Bilanz eines mehr als fünfzigjährigen Fortschreitens im Dienst der Aufgabe, den Menschen ihr wirkliches Leben begreiflich zu machen. Er stellt zu diesem Zweck vier Säulen seines Werkes vor - unter den Titeln: Subjektivität, Mannigfaltigkeit, Leib und Gefühl, Welt - und bringt grundlegende Fragestellungen der Neuen Phänomenologie zur Sprache: Der Leib war seit der...