Analogie und mathematisches Denken

This article deals with six aspects of analogical thinking in mathematics: 1. Platonism and continuity principle or the “geometric voices of analogy” (as Kepler put it), 2. analogies and the surpassing of limits, 3. analogies and rule stretching, 4. analogies and concept stretching, 5. language and the art of inventing, 6. translation, or constructions instead of discovery. It takes especially into account the works of Kepler, Wallis, Leibniz, Euler, and Laplace who all underlined the importance of analogy in finding out new mathematical truth. But the meaning of analogy varies with the different authors. Isomorphic structures are interpreted as an outcome of analogical thinking.     

Folgen der Emigration deutscher und österreichischer Wissenschaftstheoretiker und Logiker zwischen 1933 und 1945

The paper begins by delimiting the scope of ‘logic’ and ‘philosophy of science’ and goes on to present the biographies and select bibliographies of 36 émigré scholars from Germany and Austria working in these fields. An evaluation of this material, and of data on societies, congresses, lecture series, books and periodicals on logic and philosophy of science, is then undertaken. Against the rich background of activity in the 20s and 30s of our century, there is manifest a rapid decline of high-ranking research in the philosophy of science and (to a lesser degree) in logic in Germany and Austria. Since, with one exception, émigré logicians and philosophers of science did not return after the breakdown of the Third Reich, recovery in these fields has been extremely slow. Pertinent knowledge had to be re-imported, and a satisfactory level has been reached only with the coming of a new generation.     

The prescription as literature

In the medical writings of antiquity the recipe, a basic form of scientific writing, was considered a literary genre with conventions of its own. In texttype-linguistics, however, the recipe plays only a minor role; in studies on the history of literary short texts it is hardly ever mentioned and, furthermore, it has come to the conclusion that the recipe's function has lain solely in the curing of the sick. The present study focuses on its multifunctional character. A collection of widely scattered and hardly accessible recipes shows that the recipe adopted functions beyond giving technical directives. Its multifunctionality in the German literature of early modern times is manifest in medical and cooking jocular recipes, cooking recipes in minnesang, mock recipes aimed at physicians and astrologers, recipes of spiritual-religious content, recipes containing art and literary criticism as well as recipes in a moral-satirical or a political-agitative vein.     

Die Idee einer historischen Entwicklung der Krankheiten des Menschengeschlechts und ihre Bedeutung für die empirische Medizin des frühen 19. Jahrhunderts

In early 19th-century German medicine many doctors had a strong interest in historical pathology. They investigated the historical records of fevers and epidemics in detail, trying to find out how the changing influence of the epidemic constitution worked and hoping that history would help them to define specific disease entities. The underlying theory of this endeavour was that diseases undergo a historical development similar to the evolution of plants and animals. This paper tries to show that historical pathology was, in its time, a legitimate attempt to solve the most urgent problems of empirical medicine.     

Romantische Naturkunde - Die Doppelsinnigkeit der Naturbildung des Bernhard Heinrich Blasche (1766-1832)

Naturbildung, written by B. H. Blasche in 1815, seems a typical philanthropic study about science education private organized. But it also demonstrates romantic philosophy influences, which led at least from describing natural history to biology. There was no success in Blasche's reformatory efforts: first reason because the idea of private education-institution was out of discussion. Second reason was, on the way to stateorganized schoolsystem in Germany classic philology dominated and repressed deeply science education.     

“… daß der Liebhaber etwas Erfreuliches und Nützliches zu leisten im Stande ist.” Goethe,Soemmerring und das Os intermaxillare beim Menschen

Goethe's theoretical comments on the acknowledgement of the natural sciences dilettante differ considerably from his own experiences in this role (Farbenlehre, Zwischenkieferknochen) of dilettante. Therefore, it seems necessary to raise general questions on the concept: dilettante of natural sciences during Goethe's time, furthermore, on the characterization and labeling of such a dilettante in an historical-scientific context. This is especially important since up to the present time this particular problem has hardly ever been examined. In addition, there is a summary of an historical case study, the discovery of the human intermaxillary bone by Goethe and of the specialists' reactions on this discovery, especially that of Soemmerring.     

Der medizinische Wissensaustausch zwischen Siebenbürgen und anderen europäischen Ländern im Spiegel des Auslandsstudiums und der ärztlichen Ausbildung der Siebenbürger vor der Gründung der Klausenburger Universität (1872)

The first perpetual university in Transylvania was founded rather late compared to European standards, namely only in 1872 in Klausenburg (Cluj, Kolozsvár). Through the centuries, the social request for physicians was satisfied by the education of Transylvanian students at foreign universities and by the immigration of physicians from abroad. Concerning the period from 1180 to 1849, we know about 7145 Transylvanian students at more than 80 different universities of the Occident. Thereof, 412 physicians and 219 surgeons can be documented by their names. The ranking list of the most frequented medical faculties (Vienna, Padova, Leyden, Utrecht, Jena, Lipsia, Erlangen, Frankfort‐on‐Oder, Goettingen, Basel etc.) proves that all of these medical men received their professional education (being sponsored socially) from the then most excellent foreign universities. Thus, studies abroad guaranteed continual transfer of knowledge from Western to Eastern Europe. This situation seems to partially have compensated the disadvantages of lacking own Transylvanian universities ‐ at least from the quality point of view, so that the professional standard of the education of doctors working in Transylvania used to correspond to the highest level of European medicine.     

Der Kampf gegen den „Schwarzen Tod”︁. Quarantäne und Epidemiebekämpfung der frühen Neuzeit im Mittelmeer aufgezeigt am Beispiel Maltas

During early modern period Mediterranean people feared epidemics far more than war and other destructive activities. Where epidemics, especially the plague, struck, all communications broke down and trade just withered away. With the coming of the Knights of St. John in 1530 the Maltese Islands became increasingly important as an international boarding place in the very center of the Mediterranean. Soon the maritime development of the Order's State was enhanced by the high regard in which the Maltese Quarantine System was held by European countries in the 17th and 18th century. The aetiology of plague was then unknown and the restrictive measures adopted by the Maltese Quarantine System too were in accordance with the approved epidemiological practices and theories of the time. This article tries to single out the importance of the Maltese Quarantine as a kind of medical “shield” for the southern European countries.     

Britische Politiker als Liebhaber der Wissenschaft (ca. 1850–1914) — Zur Ideologie des Amateurismus

The various scholarly and scientific endeavours — comprising both arts and sciences —, which British statesmen persued in their leisure time, transcend the mere biographical aspect. In the light of the slow, yet steady professionalisation of educational and political institutions, many of them modernised or newly created in order to achieve what came to be called “National Efficiency”, the literary and scientific pastimes of men, like Gladstone, Morley, Salisbury, Balfour or Haldane, seemed soon to become somewhat obsolete. Yet, it is argued, that the often professedly amateurish activities did not merely display the traditional hobby attitude to the sciences, so characteristic of the wealthy aristocrat, but in some cases revealed a good understanding of the scientific and educational needs of society, leading up to their active advancement. The British amateurs, it would seem, were pleading for providing a balanced higher education and training, rather than going for the technical excellence of the political rival Imperial Germany, which dazzled and, at the same time, intimidated some of them.     

Von der „Natur der Sache”︁ zur Geschichte der Sprache Der Übergang von der Sprachforschung zur Sprachwissenschaft zu Beginn des 19. Jahrhunderts

From the “nature of things” to the history of language: The transition from the study of language to historico-comparative linguistics. This brief essay deals with a somewhat problematic phase in the history of linguistics and tries to investigate the process by which language could be understood as a historical phenomenon with a history of its own. This new understanding of language turned out to be the starting condition for a new and very prolific way in the study of language. The conjecture is that this is due to certain alterations in the semantic field of some important notions relating to language and its study. The process of alteration began by the end of the eighteenth century with conceptual achievements which could adequately be termed as temporalization of aspects of language and the notions related to these aspects. In connection with the so called discovery of the Sanskrit language and the gradual reception of its grammatical structure, looking upon language as an organic entity with autonomous and internal structures of developpement became possible after the German romantic language philosophy had developped a strictly abstract concept of language as a notion of form. This essentially metaphorical mode of speaking nevertheless inaugurated that languages were concieved of as having their own history totally independent of their speakers. With language as an autonomous object the study of language rapidly became the science of language.     

Der kundige Laie und das naturkundliche illustrierte Flugblatt der frühen Neuzeit

The aim of this paper is to demonstrate how German and Latin illustrated broadsheets of the sixteenth and seventeenth centuries can serve as documents of the history of sciences and the dissemination of scientific knowledge. It shows how broadsheets were used as a means of conveying scientific observations and conclusions not only among scholars versed in Latin but, through the medium of the vernacular, between scholars and laymen, too. In the fields of medicine, astronomy, zoology and botany in particular, the illustrated broadsheet facilitated the rapid circulation of case histories and accounts of various scientific phenomena. Furthermore, it played an important role in breaking down the barriers that separated the scholar from the layman, who was otherwise far removed from the world of books.     

Körpergefühl und Raumvorstellung: Leonardo und Descartes

“Experience and the conception of the world in science in transition to modern times” is the general subject. There are two different points to be made clear, i.e. 1. That the conception of the world had to be made imaginable by art before it could be taken over by science. The central perspective dates back to about three centuries before the time Descartes developed the co-ordinate system. 2. Furthermore it should be taken into account that it was first of all due to the lead of the painters (especially in the Italy of the Quattrocento’) that the possibility of making experiences had changed. In a space opened by a perspective view and seemingly thus appearing as measurable even the painted figures acquire a new reality. Due to his anatomic studies Leonardo could treat the natural movement of the figures shown in his paintings. It was the artists who first of all investigated optics and anatomy before relations could be measured with the aid of scientific methods ami before quantities — instead of qualities — could become the base of unbiased science, as called for by Galilei in 1623.     

Der Scharlatan auf dem Rechtsweg — und was vielleicht zu seiner Umlenkung getan werden könnte

A number of recent allegations of scientific misconduct in Germany have led to judicial proceedings. Two examples are analyzed in depth, showing evidence for mutual incompatibilities between the legal system and the scientific system. In particular, it seems doubtful whether basic rules of good scientific practice are adequately and consistently taken into account by the courts when assessing the burden of proof. Strengths and weaknesses of some alternatives to judicial proceedings in such cases are discussed.     

Zur Verwendung physiologischer Analogien bei der Entstehung der experimentellen Psychologie

In the middle of the 19th century, a disfavourable attitude towards the use of analogies prevailed in physiology and in psychology. The emerging experimental psychology nonetheless turned to analogies, two of which are discussed: the attempt to elucidate the construct “sensation”, and reaction time measurement.     

Kleinstadt und Bibliothek in der Frühmoderne. Zu Genese und Struktur der Ratsbibliothek der fränkischen Reichsstadt Weißenburg

Small town and library in early modern times: Even small German imperial towns in particular were unable to conduct their daily business without maintaining a library with a wide range of excellent and usefull books suitable for employment by the judiciary, the administration, the health-care services, the church and school system as well as for supporting the interests of the town effectively. It is clear that the municipial council placed high value on the acquisition of the most important works in the field of law, theology and literature treated in school considering the relatively rational manner in which the “Ratsbibliothek” (library of the council) of the imperial town of Weißenburg (Bavaria) took stock of its books in the early modern times (16th to 18th century): this can be seen in the contemporary cataloguing (1600/1745/1829) of the library. Since the library orientated itself pragmatically towards the administrative interests of the town, there was hardly any inclination towards the acquisition of works in the fields of philosophy or poetry. — This study is based on the first edition of the “Beringer-catalogue” included (1600).     

Eine handgreifliche Geschichtslüge. Wie Martin Luther zum Gegner des copernicanischen Weltsystems gemacht wurde.

Martin Luther has been severely criticized for an offhand remark about Copernicus. In the most frequently cited version of this statement, Luther is alledged to have branded Copernicus as a fool who will turn the whole science of astronomy upside down. This disparaging judgment on Luther prevails in many publications by respected historians of science of the 20th century, although since the early thirties, it has been convincingly demonstrated that the famous citation from Luther's table talk is next to worthless as an historical source, that Luther never referred to Copernicus or to the heliocentric world system in all of his voluminous writings, and that there is no indication that Luther ever suppressed the Copernican viewpoint. His attitude towards Copernicus was indifference or ignorance, but not hostility. In this paper, it is shown that the story of Luther's anti‐Copernicanism emerged in the second half of the 19th century. It was invented by Franz Beckmann and Franz Hipler, two Prussian Catholic historians who were engaged in the conflict between the German government under Bismarck and the Catholic Church (Kulturkampf), and it was disseminated by influential German and American historians like Leopold Prowe, Ernst Zinner, and Andrew D. White. In the second half of the 20th century, many historians of science relied on the authority of these authors, rather than studying the sources or the secondary literature in which it has been proved that Luther's anti‐Copernicanism is an outright falsification of history.