Mathematics in the Czech Lands
From the Jesuit Teaching to Bernard Bolzano
ABOUT the project
In this project, we shall pursue two main research themes. Firstly, a study of the mathematical culture in the Czech lands from the beginning of the 18th Century [half of the 18th century] to the beginning of the 19th Century. Secondly, a study of Bernard Bolzano's early mathematical works in geometry, foundations and analysis in their proper context, and a study of his mathematical education. As regards to the first point, we expect to provide with our project an account of the changes in the mathematical teaching around and after the dissolution of the Jesuit order in the Bohemian lands, led by a desire to modernize the education in the region. Regarding the second point, this project will attempt to connect in a systematic way the inspiring motivations in the background of Bolzano's project to the mosaic of positions on the foundations of mathematics circulating in Europe between the mid- 18th century and the beginning of the 19th. The main hypothesis underlying both research themes is that the rationale and motivations of Bolzano's programme for the reform of mathematics should be understood within the context in which he lived and studied, which directly or indirectly influenced him. In this way, it will be recognized not only Bolzano's debt to his predecessors but also his originality as a mathematical and philosophical thinker.
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Unbekannt, Bernard Bolzano; K. K. ordent. Professor der Religionslehre in Prag, 1806, Wien Museum Inv.-Nr. W 841, CC0
(https://sammlung.wienmuseum.at/objekt/288282/)
THROUGH A VARIETY OF SOURCES
Prager gelehrte Nachrichten, 1771, p. 128. NKCR__-NKCR__45G000004BD10X16G28-cs
https://www.manuscriptorium.com/apps/index.php?direct=record&pid=NKCR__-NKCR__45G000004BD10X16G28-cs
Neuer Titulatur- und Wirtschafts- Kalender auf das Jahr 1775 - 1774 - National Library of the Czech Republic, Czech Republic - No Copyright - Non-Commercial Use Only.
https://www.europeana.eu/item/92004/object_NKCR__65D001178JAH1L0TFLF
One of the methodological emphasis of this project was the study of mathematical teaching in the Czech lands through a variety of sources. Syllabi, namely lists containing the courses of a given academic year, represent just one example of a major, and yet neglected source of information to reconstruct the teaching of mathematics (and other disciplines) at various colleges in the early modern and modern periods. In 18th century Prague, for instance, syllabi were often printed as flying charts, but they can also be found within magazines and popular publications, such as almanachs. In the pictures above, on the left, we can read an excerpt from a syllabus listing the courses imparted at the philosophical faculty of Prague in the a.a. 1770. It was printed in Gehlerte Nachrichten, a magazine connected to Prague Enlightement. One can find, among the subjects taught at the philosophical faculty, a new entry, namely the Bergswerkswissenschaften, "mounta-" or "mining science". The lecturer was professor T. Peithner. Although this chair was short lived (it would not appear in the programmes of the subsequent years), it was a clear sign that the content of the philosophical faculty was opening to "useful" sciences according to the spirit of the Enlightenment.
On the right, the syllabi for the year 1775 (Philosophical Faculty). We can read at the bottom the advertisement for the classes of "Herr Franz Leonard Herget", professor of Engineering Sciences. According to the printed information, Herget would not lecture at the university building, but in the old town, at the corner of Schweselgasse, n. 222 (can anybody locate it in a modern map?). Engineering science, a subject that dealt, at the time, both with the study of machines and with architecture (civil and military), is another example of useful knowledge reshaping the core of the Artes Liberalium.