Eine historische und systematische Analyse zum Wahrscheinlichkeitsbegriff
Author: Sebastian Simmert
Dieses Buch zeigt die ideen- und wissenschaftsgeschichtliche Entwicklung des Wahrscheinlichkeitsbegriffs vom Mittelalter bis zum 20. Jhd. auf. Dabei geht Sebastian Simmert vertieft auf die epistemische Bedeutung der Wahrscheinlichkeit als qualitative Bestimmung von Wissen ein. Hierbei untersucht er die Bedingungen der Möglichkeit quantitativer Wahrscheinlichkeit. Im Zentrum steht die Überlegung, dass die elementare Ebene qualitativer Wahrscheinlichkeiten keine Gleichwahrscheinlichkeiten zulässt. Denn sie baut auf einer zweiwertigen Logik auf. Mit dieser Prämisse werden die Grenzen des durch Wahrscheinlichkeiten Aussagbaren aufgezeigt; unter anderem, dass die Anwendung des Gesetzes der großen Zahl keine empirischen Aussagen rechtfertigt.
This work offers a study on the problematic of a scientific knowledge of the sensible reality in the Enneads. In so doing, it presents a radical new perspective on the philosophy of Plotinus and engages in an intense, detailed, and critical rereading of Plotinus and his commentators.
Augustine and Roman Virtue seeks to correct what the author sees as a fundamental misapprehension in medieval thought, a misapprehension that fuels further problems and misunderstandings in the historiography of philosophy. This misapprehension is the assumption that the development of certain themes associated with medieval philosophy is due, primarily if not exclusively, to extra-philosophical religious commitments rather than philosophical argumentation, referred to here as the 'sacralization thesis'. Brian Harding explores this problem through a detailed reading of Augustine's City of God as understood in a Latin context, that is, in dialogue with Latin writers such as Cicero, Livy, Sallust and Seneca. The book seeks to revise a common reading of Augustine's critique of ancient virtue by focusing on that dialogue, while showing that his attitude towards those authors is more sympathetic, and more critical, than one might expect. Harding argues that the criticisms rest on sympathy and that Augustine's critique of ancient virtue thinks through and develops certain trends noticeable in the major figures of Latin philosophy.
Galen's treatises on the classification and causation of diseases and symptoms are an important component of his prodigious oeuvre, forming a bridge between his theoretical works and his practical, clinical writings. As such, they remained an integral component of the medical teaching curriculum well into the second millennium. This edition was originally published in 2006. In these four treatises (only one of which had been previously translated into English), Galen not only provides a framework for the exhaustive classification of diseases and their symptoms as a prelude to his analysis of their causation, but he also attempts to establish precise definitions of all the key terms involved. Unlike other of his works, these treatises are notably moderate in tone, taking into account different views on structure and causation in a relatively even-handed way. Nonetheless, they are a clear statement of the Dogmatic position on the theoretical foundations of medicine in his time.
While we are commonly told that the distinctive method of mathematics is rigorous proof, and that the special topic of mathematics is abstract structure, there has been no agreement among mathematicians, logicians, or philosophers as to just what either of these assertions means. John P. Burgess clarifies the nature of mathematical rigor and of mathematical structure, and above all of the relation between the two, taking into account some of the latest developments in mathematics, including the rise of experimental mathematics on the one hand and computerized formal proofs on the other hand. The main theses of Rigor and Structure are that the features of mathematical practice that a large group of philosophers of mathematics, the structuralists, have attributed to the peculiar nature of mathematical objects are better explained in a different way, as artefacts of the manner in which the ancient ideal of rigor is realized in modern mathematics. Notably, the mathematician must be very careful in deriving new results from the previous literature, but may remain largely indifferent to just how the results in the previous literature were obtained from first principles. Indeed, the working mathematician may remain largely indifferent to just what the first principles are supposed to be, and whether they are set-theoretic or category-theoretic or something else. Along the way to these conclusions, a great many historical developments in mathematics, philosophy, and logic are surveyed. Yet very little in the way of background knowledge on the part of the reader is presupposed.
Essential Physics Concepts and Their Companions in Art and Literature
Author: Hilary Thayer Hamann,Emiliano Sefusatti
CategoriesOn the Beauty of Physics is a multidisciplinary, interdisciplinary educational book that uses art, and information from a variety of disciplines to facilitate the reader'ss encounter with challenging material. It promotes scientific literacy, fosters an appreciation of the humanities, and encourages informed and imaginative connections between the sciences and the arts. Categories is a cooperative learning tool through which people (especially educators and students) can engage in academic and value-oriented discussions.
Genese, Überlieferung und Funktionen der mnemotechnischen Traktatliteratur im 15. Jahrhundert ; mit Edition und Untersuchung dreier deutscher Traktate und ihrer lateinischen Vorlagen
Author: Sabine Heimann-Seelbach
Publisher: Max Niemeyer Verlag
The study documents the extensive manuscript transmission of Ars memorativa-treatises of the 15th century. It includes information on authors and text contents, arranging the subject in the order of a textual genealogy. Comparing German translations with their Latin sources the modifications in the intended use of texts, being introduced into vernacular language, are examined. Based on the total textual corpus traditions and innovations of mnemotechnics and its different philosophical conceptualizations in the late Middle Ages are discussed.