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Matézis, Mechanika, Metafizika
Matézis, mechanika, metafizika Matézis, mechanika, metafizika A 18–19. századi matematika, fizika és csillagászat eredményeinek reprezentációja a filozófiában és az irodalomban Szerkesztette Gurka Dezső Gondolat Kiadó Budapest, 2016 A kötet megjelenését a Magyar Tudományos Akadémia támogatta. © Szerzők, 2016 Szerkesztés © Gurka Dezső, 2016 © Gondolat Kiadó, 2016 Minden jog fenntartva. Bármilyen másolás, sokszorosítás, illetve adatfeldolgozó rendszerben való tárolás a kiadó előzetes írásbeli hozzájárulásához van kötve. A kiadó könyvei nagy kedvezménnyel az interneten is megrendelhetők. www.gondolatkiado.hu facebook.com/gondolat A kiadásért felel Bácskai István Szöveggondozó Gál Mihály A borítón Johann Wolfgang Goethe Faust és a Föld szelleme című 1810 körül készült tollrajzának részlete látható. (Forrás: http://bit.ly/2cvpml2) Tördelő Lipót Éva ISBN 978 963 693 718 8 Tartalom Előszó 7 ERŐK ÉS ELLENERŐK A 18–19. SZÁZADI FILOZÓFIÁBAN Schmal Dániel: Leibniz az erők metafizikájáról – ikonográfiai kísérlet 13 Mester Béla: Rozgonyi József Kant-kritikájának matematikafilozófiai aspektusai 24 Egyed Péter: Sipos Pál filozófiája 39 MATEMATIKUSOK A MATÉZIS ÉS A BÖLCSELET HATÁRTERÜLETEIN Békés Vera: Adalékok Dugonics András matematikapedagógiai munkásságának értelmezéséhez 57 Oláh-Gál Róbert: Bolyai Farkas matematikatanárai 69 Szabó Péter Gábor: A mozgás szerepe a geometria felépítésében Bolyai Farkasnál 80 6 TARTALOM 18–19. SZÁZADI FIZIKUSOK ÉS CSILLAGÁSZOK MUNKÁSSÁGÁNAK TUDOMÁNYOS ÉS FILOZÓFIAI RECEPCIÓJA Gurka Dezső: Segner János András munkásságának kanti recepciója 95 Kontler László: „Katolikus tudás” a felvilágosodásban: a csillagász Maximilian Hell stratégiái 116 Székely László: A kozmikus anyag örök körforgásának eszméje Kant kozmológiájában és a 19. századi csillagászatban – kitekintéssel Madách Imre Az ember tragédiája című művére 139 Martinás Katalin – Tremmel Bálint: Az impulzus- megmaradás elvének megjelenése és eltűnése 153 A 18–19. -
BOOK REVIEWS Trust, Authority, and the Written Word in the Royal Towns of Medieval Hungary. by Katalin Szende. Utrecht Studies I
Hungarian Historical Review 8, no. 3 (2019): 620–655 BOOK REVIEWS Trust, Authority, and the Written Word in the Royal Towns of Medieval Hungary. By Katalin Szende. Utrecht Studies in Medieval Literacy 41. Turnhout: Brepols, 2018. 436 pp. The use of the written word in urban environments has become a popular subject in Medieval Studies. The series “Utrecht Studies in Medieval Literacy” provides inter alia a considerable number of publications highlighting the importance of urban literacy. The monograph by Katalin Szende, an expert on urban history, constitutes another important contribution on this topic. In her introduction, Szende declares that the work will guide “its readers through the history of using the written word for pragmatic, mainly administrative purposes […] in the royal towns of medieval Hungary” (p.1). The main goal is to show the emergence of new forms of documentation in the broader framework of the relationship between expanding uses of the written word and the growth of trust in its efficiency. The relevance of this issue for the whole of East Central Europe and the chronological and the geographical scope of the book (the Late Medieval period, from the thirteenth century to the sixteenth; the Carpathian Basin) makes it a very welcome contribution to the scholarship on the region. The first chapter (pp.25–59) has an introductory character, providing the uninitiated reader with information on the urban network in medieval Hungary, the origins of the settlements, and the development of urban law. It also presents the corpus of sources (including their critical editions) and an outline of scholarly discussions on urban history. -
Translators' Notes
Translators’ Notes Citations from original sources –– mostly letters ––writteninGerman(in the orthography of the time) are reproduced here as is if the authors are one of the principal players, Euler and the Bernoullis, with the English translation immediately following within brackets. Otherwise, and also in cases of citations which have previously been translated into German, only the English translation is provided. A few factual changes which have occurred, or come to light, since the publication of the original text have been incorporated in this translation without special mention. Transliteration of Cyrillic characters follow the system used by the Li- brary of Congress (see, e. g., A. J. Lohwater, Russian-English Dictionary of the Mathematical Sciences, American Mathematical Society, Providence, RI, 1961, p. 1). 140 Notes Primary and secondary literature are cited in text and notes according to the following rules: 1. W o r k s of Leonhard Euler are quoted in the text normally with an abbreviated title (mostly translated into English), in the Notes according to the work edition included in the Bibliography of this book, which is arranged in four series, and of which, as of today, there exist 76 quarto volumes. Euler’s works are numbered according to the bibliography of G. Enestr¨om, to which we adhere, and are identified with the respective number, placed in front of the location of a work. For Opera omnia we use O., the series numbers are given in roman, and the volume numbers in arabic nu- merals. Example: E. 65: O.I,24 refers to Euler’s work Methodus inveniendi lineas curvas ...inVolume24ofthefirstseries,whichcarriestheEnestr¨om number 65. -
History & Philosophy of Science 2008/2009
Birkhäuser History & Philosophy of Science 2008/2009 1 Highlights The Physical Tourist A Science Guide for the Traveler Find out where famous scientists lived, worked, and where important discoveries were made Add science to your sightseeing and enrich your understanding and appreciation for the city A wonderful gift for all, especially those interested in physics or general science See page 17 New Series The Moon that Wasn’t Israel Gohberg and Friends Studies in See page 16 See page 7 Universal Logic See page 23 Nexus Network Eine kleine Erhabene Welten Journal Nachtphysik See page 26 See page 8 See page 28 2 Contents History of Mathematics 4 History of Physics / Astronomy 16 History of Science 18 Biographies 21 Philosophy of Science 23 Deutschsprachige Titel / German language titles 25 The Collected Scientific Papers of the Mathematicians and Physicists of the Bernoulli Family 30 Leonhard Euler: Opera Omnia 32 Series Index 36 Journals 38 Authors and Editors Index 39 Contact Information 40 Birkhäuser Online For more information on our books and journals, including table of contents and reviews, please visit www.birkhauser.ch New titles Journals Book Series Conferences Contacts T Textbooks suitable for undergraduate, TEXTBOOK advanced undergraduate or graduate students 3 History of Mathematics Forthcoming Titles Ancient Indian Leaps into Mathematics Yadav, B.S., University of Delhi, India / Mohan, M., Ramjas College, University of Delhi, India (Eds) Due in March 2009 draft 2009. Approx. 200 p. 30 illus. Softcover A Lost Mathematician, ISBN 978-0-8176-4694-3 Takeo Nakasawa The Forgotten Father of Matroid Theory Selected Works of A.I. -
Catalan Numbers: New and Old
Catalan Numbers: New and Old by Anthony Varey A Project Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematics at The University of Wisconsin-Milwaukee December 28, 2011 Catalan Numbers: New and Old by Anthony Varey A Project Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematics at The University of Wisconsin-Milwaukee December 28, 2011 Jeb F. Willenbring Date ii ABSTRACT Catalan Numbers: New and Old by Anthony Varey The University of Wisconsin-Milwaukee, 2011 Under the Supervision of Associate Professor Jeb F. Willenbring We provide an exposition of several equivalences between interpretations of the Catalan numbers. The origins of these interpretations span almost 300 years of mathematics. A timeline for several of these interpretations is provided, beginning with a correspondence between Euler and Goldbach. The breadth and depth of the Catalan numbers is striking, as they arise in several areas, including combinatorics, complex analysis, and geometry. We survey a sizable portion of this work. Major Professor Date iii Table of Contents 1 Timeline of the Catalan Numbers 1 1.1 Historical Summary . .1 1.2 Timeline . .7 2 Interpretations Through Time 10 2.1 Generating Function . 10 2.1.1 Definitions . 10 2.1.2 History . 11 2.2 Triangulations of a Convex Polygon . 11 2.2.1 Definitions . 11 2.2.2 History . 13 2.3 Parenthesized Expressions . 16 2.3.1 Definition . 16 2.3.2 History . 16 2.4 Binary Trees . 17 2.4.1 Definitions . 17 2.4.2 History . -
Hungarian Historical Review 8, No
Hungarian Historical Review 8, no. 3 (2019): 620–655 BOOK REVIEWS Trust, Authority, and the Written Word in the Royal Towns of Medieval Hungary. By Katalin Szende. Utrecht Studies in Medieval Literacy 41. Turnhout: Brepols, 2018. 436 pp. The use of the written word in urban environments has become a popular subject in Medieval Studies. The series “Utrecht Studies in Medieval Literacy” provides inter alia a considerable number of publications highlighting the importance of urban literacy. The monograph by Katalin Szende, an expert on urban history, constitutes another important contribution on this topic. In her introduction, Szende declares that the work will guide “its readers through the history of using the written word for pragmatic, mainly administrative purposes […] in the royal towns of medieval Hungary” (p.1). The main goal is to show the emergence of new forms of documentation in the broader framework of the relationship between expanding uses of the written word and the growth of trust in its efficiency. The relevance of this issue for the whole of East Central Europe and the chronological and the geographical scope of the book (the Late Medieval period, from the thirteenth century to the sixteenth; the Carpathian Basin) makes it a very welcome contribution to the scholarship on the region. The first chapter (pp.25–59) has an introductory character, providing the uninitiated reader with information on the urban network in medieval Hungary, the origins of the settlements, and the development of urban law. It also presents the corpus of sources (including their critical editions) and an outline of scholarly discussions on urban history.