Zodiakale und planetare Dekane
Abstract
Zodiacal and Planetary ‘decani’. The 36 ecliptical ‘decani’ (sectors of 10°) were distributed either to the twelve zodiacal signs or to the seven planets. The first system has been transmitted only by the Roman didactic poet Manilius, who commits an error at the end of his catalogue that can be explained by comparing it with the more frequent planetary one. Both systems follow the Roman calendar beginning with the Ram respectively Mars. Although the zodiacal system (36 : 12) runs without remainder whereas the planetary one (36 : 7) repeats Mars once more (six times), so that it both begins and ends with this planet, this planetary system prevails. Four possible astrological reasons of this contradiction are discussed including other texts, mostly taken from the ‘Babylonian’ Teucrus (at the latest first century BC), who represents the first witness, if not the inventor of this particular lore.
Quelle: http://onlinelibrary.wiley.com/resolve/doi?DOI=10.1002%2Fbewi.201601761
Begriffsverfälschungen durch vermeintlich modernisierende Übersetzungen: Das Beispiel ‚orbis‘ (Kugel, Sphäre)/‚orbita‘ (Bahn)
Abstract
Distortion of Scientific Terms by Supposed Modernizing Translations: The Example ‘orbis’ (sphere)/‘orbita’ (orbit). The use of modern terminology and thinking hinders to understand historic astronomical and physical texts and often misleads the reader, because between celestial physics from Aristotle and Ptolemy to Copernic on the one side and since Kepler and Newton on the other side a fundamental change of paradigm had taken place. The former started from the assumption that planets are indirectly moved by large equally rotating etherical spheres combined with each other to form every kind of unequally apparent planetary motion as a resultant, whereas the later started from Kepler's idea that every motion of a planet is directly caused by two forces moulding his (naturally unequal) ‘orbit’. ‘orbita’ was Kepler's new specific term for the way of the planet coined in late 1604; in contrast, the Latin term of the elder paradigm has been ‘orbis’ (‘sphere’), on the one hand as concentric ‘orbis totalis’ of a planet (or the fixed stars), on the other hand as non-concentric ‘orbes particulares’ (of the eccenters and epicycles) within the space of an ‘orbis totalis’. These terms were interpreted and translated in accordance with modern dynamic (as the supposed ‘true’) thinking as if they were ‘orbits’ (German: ‘Bahn’). But you cannot bring the two paradigms into line. As a result, the texts of seemingly ‘modern’ translations become incomprehensible, absurd and wrong. The study shows this on thinking (1st) about Aristotelian physics of former times using terms and ideas of modern dynamics, and on thinking (2nd) about the former explanation of apparent motions of heavenly bodies using these dynamics and ignoring the different special Aristotelian and Ptolemaic physics of ‘orbes’ (spheres).
Quelle: http://onlinelibrary.wiley.com/resolve/doi?DOI=10.1002%2Fbewi.201601715
Über drei Erscheinungen von Unterschied in der Mathematik
Abstract
On Three Appearances of Difference in Mathematics. This article proposes to examine three types of relations between man and equality, as they are embodied in the relation to the minimal condition of the mathematical: the sentence of identity: I=I. Starting our examination from the current common conception of science and mechanism, we aim to reveal that behind the dominating logic of identity there are two other systems of logic, which have arisen during the history of humanity and that of mathematics. Following Serres, the first one might be revealed during the passage from the Babylonian mathematics to the interaction between Thales and the Greek gnomon. The Babylonian epoch marks an era, in which the logic of sameness operates; logic which offers a place for the mathematician. This era is followed by a science, working under the second logic: the logic of identity, which consecrates an axiomatic definition-based approach, at the expense of the human being. The third logic looms after the discovery of Gödel's incompleteness theorems: that an undecidable statement can be derived within every arithmetical system. Under this logic, the roles of man and the allegedly mathematical automatic machine become even more intertwined: the newly found logic promises instability not only for man, but also for the machinic-mathematics.
Quelle: http://onlinelibrary.wiley.com/resolve/doi?DOI=10.1002%2Fbewi.201601742
Zur Geschichte einer Metakategorie: Das ‚Empirische‘ in der deutschen Ökonomischen Aufklärung und frühen Agrarwissenschaft um 1800
Abstract
Tracing the History of a Super-Category: The ‘Empirical’ in German Agricultural Improvement and Science around 1800. In accordance with some historians of philosophy, this paper claims that Kant′s critical philosophy can be seen as a watershed between the largely negative and ascriptive term ‘empiric’ applied during the early modern period and the more self-referential term ‘empiricist’ of the modern period. I will examine the usage and polemical function of the ‘empirical’ label in German agricultural improvement, and will point out its largely negative connotation with respect to agricultural knowledge before 1810. I will then go on to demonstrate how the most prominent founding figure of modern agricultural science in Germany, Albrecht Daniel Thaer (1752–1828), used the conceptual watershed moment as a means to his own academic and polemical ends. Whereas Thaer's opponents, cameralist authors such as Johann Beckmann (1739–1811) and Friedrich Benedict Weber (1774–1848), remained on one side of the watershed, Thaer's reasoning embraced both connotations of the ‘empirical’, and did so in significant ways. My conclusion is that the conceptual transition of the term reflects societal conflicts and social change on a broader level. Thus, the general historiographical claim of this paper is that conceptual histories are a useful and prolific tool of historical research.
Quelle: http://onlinelibrary.wiley.com/resolve/doi?DOI=10.1002%2Fbewi.201601727