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The personal library of the mathematician and astronomer José Monteiro da Rocha (1734–1819): exploring the cultural dynamics and circulation of scientific knowledge in the Enlightenment 数学家和天文学家约瑟·蒙泰罗·达·罗查(1734-1819)的私人图书馆:探索启蒙运动时期科学知识的文化动态和循环
IF 0.4 3区 哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-05 DOI: 10.1016/j.hm.2025.103196
Fernando B. Figueiredo
José Monteiro da Rocha (1734–1819), a seminal figure in Portuguese mathematics and astronomy, amassed a personal library that reveals the intricate cultural dynamics and circulation of scientific knowledge of the era. This article explores Monteiro da Rocha’s collection, mapping how these books were crucial to his pedagogical and scientific work while examining the broader context of knowledge dissemination during the Enlightenment. As a key figure in the curricular Reform of the University of Coimbra in 1772, Monteiro da Rocha played a vital role in establishing the new Mathematics and Natural Philosophy faculties. His contributions to drafting the new statutes and his influence as an educator underscore the significance of his library, comprising over 1200 titles. The diversity of works in his library, including those by notable figures such as Newton, Euler, and Bernoulli, highlights the range of scientific knowledge circulating during the Enlightenment. Analysing this collection allows us to assess Monteiro da Rocha’s impact on his teaching and scientific practice. Through an analysis of the content and provenance of these books, this article demonstrates how Monteiro da Rocha’s library mirrors the scientific practices and priorities of the 18th century, while also serving as a testament to the cultural and scientific exchanges that defined the Enlightenment. Ultimately, research on José Monteiro da Rocha’s library illuminates the practices of acquiring, reading, and using scientific texts, thereby significantly contributing to the intellectual and cultural history of this crucial period. By studying Monteiro da Rocha’s library, we aim to shed light on the evolutionary landscape of scientific education in late 18th- and early 19th-century Portugal, emphasising the role of personal collections in shaping academic and cultural knowledge.
jose Monteiro da Rocha(1734-1819)是葡萄牙数学和天文学的重要人物,他积累了一个个人图书馆,揭示了那个时代复杂的文化动态和科学知识的流通。本文探讨了蒙泰罗·达·罗查的藏书,描绘了这些书对他的教学和科学工作是如何至关重要的,同时考察了启蒙运动期间知识传播的更广泛背景。作为1772年科英布拉大学课程改革的关键人物,蒙泰罗·达罗查在建立新的数学和自然哲学学院方面发挥了至关重要的作用。他对起草新法规的贡献和他作为教育家的影响力强调了他的图书馆的重要性,其中包括1200多个标题。他的图书馆藏书丰富,包括牛顿、欧拉和伯努利等著名人物的著作,突显了启蒙运动期间传播的科学知识的范围。分析这些收藏品可以让我们评估蒙泰罗·达·罗查对他的教学和科学实践的影响。通过对这些书籍的内容和来源的分析,本文展示了蒙泰罗·达·罗查的图书馆如何反映了18世纪的科学实践和优先事项,同时也证明了定义启蒙运动的文化和科学交流。最后,对jos Monteiro da Rocha图书馆的研究阐明了获取、阅读和使用科学文本的实践,从而为这一关键时期的知识和文化史做出了重大贡献。通过研究蒙泰罗·达·罗查的图书馆,我们旨在揭示18世纪末和19世纪初葡萄牙科学教育的演变图景,强调个人收藏在塑造学术和文化知识方面的作用。
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引用次数: 0
Alberto Cogliati, Ars Inveniendi. Lezioni di storia della geometria differenziale 1767-1917, Pisa University Press, 313 pp., Pisa 2022, ISBN 9788833396675 阿尔贝托,抓住你自己,抓住你自己。微分几何历史课1767-1917,比萨大学出版社,313页,比萨2022,ISBN 9788833396675
IF 0.4 3区 哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-01 DOI: 10.1016/j.hm.2025.10.003
Prof. Umberto Bottazzini
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引用次数: 0
Euclidean practice and infinite numbers: the case of Robert Grosseteste 欧几里得实践与无穷数:罗伯特·格罗斯泰斯特的例子
IF 0.4 3区 哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-01 DOI: 10.1016/j.hm.2025.07.007
Paolo Mancosu
Robert Grosseteste was the first author in the Latin middle ages to argue for the existence of unequal infinites and to attempt some calculations with them. In De Luce (written in the 1220s), Grosseteste postulates that series such as 1 + 2 + 3 + 4+… or 2 + 4 + 6 + 8+… etc. have values given by infinite numbers. It has however been difficult to interpret exactly what Grosseteste is claiming in this text, for one key sentence in the treatise (“Aggregatio etiam omnium numerorum ab unitate continue duplorum est infinita”) has given rise to conflicting interpretations. By looking at the mathematical practice embodied in the tradition of the arithmetical books of the Euclides Latinus (i.e. the XIIth and XIIIth century translations of Euclid’s Elements), I propose a new interpretation of this passage that removes the problems encountered by the previous interpretations.
Eberhard gewidmet, mit Dankbarkeit
罗伯特·格罗斯泰斯特(Robert Grosseteste)是拉丁中世纪第一个论证不相等无穷大的存在,并尝试用它们进行一些计算的作者。在《De Luce》(写于1220年代)中,Grosseteste假设诸如1 + 2 + 3 + 4+…或2 + 4+ 6 + 8+…等数列的值由无限数给出。然而,很难准确地解释Grosseteste在这篇文章中所声称的内容,因为论文中的一个关键句子(“Aggregatio etiam omnium numerorum ab unitate continue duplorum est infinita”)引起了相互矛盾的解释。通过观察欧几里得拉丁算术书籍(即欧几里得的十二世纪和十三世纪的翻译)中体现的数学实践,我提出了一种新的解释,消除了以前解释中遇到的问题。Eberhard gewidmet, mit Dankbarkeit
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引用次数: 0
IF 0.4 3区 哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-01 DOI: 10.1016/j.hm.2025.09.003
Raffaele Danna
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引用次数: 0
There is no obstruction to a Euclidean proof for the fourth postulate 对第四个公设的欧几里得证明是没有障碍的
IF 0.4 3区 哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-01 DOI: 10.1016/j.hm.2025.09.001
José Gil-Férez , Piotr Błaszczyk , M. Andrew Moshier , Alberto Naibo , Jean-Michel Salanskis
In Gil-Férez et al. (2025), we presented a proof of Postulate 4 using purely Euclidean techniques, against which Blåsjö (2025) raised several objections. In this note, we offer linguistic, textual, historical, and mathematical evidence that demonstrate that all these objections are baseless.
在gil - f等人(2025)中,我们使用纯欧几里得技术提出了假设4的证明,对此Blåsjö(2025)提出了几个反对意见。在本文中,我们提供了语言、文本、历史和数学证据,证明所有这些反对意见都是毫无根据的。
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引用次数: 0
Did Tycho (Or His Assistants) manipulate his observations? An analysis of Tycho’s table of mars mean oppositions 第谷(或他的助手)是否操纵了他的观察结果?对第谷火星表的分析意味着对日
IF 0.4 3区 哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-01 DOI: 10.1016/j.hm.2025.09.006
Christián C. Carman
This paper provides a detailed analysis of the Opposition Table published by Johannes Kepler in Chapter 8 of Astronomia Nova, which was originally constructed by Tycho Brahe. A preliminary study of these tables was carried out by Stephenson (1987); the present paper builds on that contribution by offering a more comprehensive analysis. The study identifies evidence suggesting that the table was assembled in two distinct phases: one preceding the pivotal observation of 1595 and another following it. This chronological division reveals that Tycho’s non-bisected Mars model was already in use by 1595. Furthermore, adjustments in the pre-1595 observations appear to have been made to align them more closely with the predictions of this model. The Opposition Table is demonstrated to be a critical element in both validating Tycho’s non-bisected model and providing the foundational input for Kepler’s vicary hypothesis. This hypothesis subsequently led to Kepler’s derivation of his first two laws of planetary motion. The findings highlight the essential role of Tycho’s observational methods and theoretical frameworks in shaping Kepler’s revolutionary contributions to astronomy.
本文对第谷·布拉赫在《新天文学》第8章中发表的开普勒对差表进行了详细分析。Stephenson(1987)对这些表格进行了初步研究;本文在这一贡献的基础上进行了更全面的分析。研究发现,有证据表明,这个表是在两个不同的阶段形成的:一个是在1595年的关键观测之前,另一个是在1595年之后。这种时间划分表明第谷的非平分火星模型在1595年就已经在使用了。此外,对1595年以前的观测进行了调整,似乎使它们与该模型的预测更接近。对差表被证明是验证第谷的非等分模型和为开普勒的代位假说提供基础输入的关键因素。这个假设后来导致开普勒推导出了他的行星运动的前两条定律。这些发现突出了第谷的观测方法和理论框架在塑造开普勒对天文学的革命性贡献中的重要作用。
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引用次数: 0
The origins of a mathematical heritage: The library of Gaston Darboux’s cabinet of Higher Geometry (1900–1917) 数学遗产的起源:加斯顿·达布的高等几何橱柜图书馆(1900-1917)
IF 0.4 3区 哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-01 DOI: 10.1016/j.hm.2025.09.005
Matthias Cléry
Between 1900 and 1917, Gaston Darboux (1842-1917) built up a library associated with his Chair in Higher Geometry at the Paris Faculty of Science, which forms the initial nucleus of today’s library at the Institut Henri Poincaré, inaugurated in 1928. Created in the wake of a series of reforms instituting a new university system in France, this library serves not only as a current working tool for his teaching and research activities, but also as a testimony to the mathematics of his time.
1900年至1917年间,Gaston Darboux(1842-1917)在巴黎理学院建立了一个图书馆,并与他的高等几何教授联系在一起,这形成了1928年成立的Henri poincarcarcarve研究所今天图书馆的最初核心。这个图书馆是在法国一系列新的大学制度改革之后创建的,它不仅是他教学和研究活动的工具,也是他那个时代数学的见证。
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引用次数: 0
There is no Euclidean proof of the fourth postulate 第四个公设没有欧几里得证明
IF 0.4 3区 哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-01 DOI: 10.1016/j.hm.2025.06.001
Viktor Blåsjö
Gil-Férez et al. (2025) claim to prove Euclid's fourth postulate by strictly Euclidean means. In fact, however, they assume a principle that is neither stated nor used by Euclid. This is all the more impermissible since this inserted assumption precludes established interpretations of the fourth postulate in terms of cone points, homogeneity of space, and line-extension uniqueness.
gil - fsamurez等人(2025)声称用严格的欧几里得方法证明了欧几里得的第四个公设。然而事实上,它们假设的原理既没有被欧几里得陈述过,也没有被欧几里得使用过。这是更不允许的,因为这个插入的假设排除了第四个假设在锥点、空间同质性和线延伸唯一性方面的既定解释。
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引用次数: 0
National pride in the interest of science? The Strasbourg mathematical library between Germany and France 对科学兴趣的民族自豪感?德国和法国之间的斯特拉斯堡数学图书馆
IF 0.4 3区 哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-01 DOI: 10.1016/j.hm.2025.09.004
Norbert Schappacher
The paper outlines the history of libraries at the Strasbourg Universities between the 1880s and post WWII, and focusses on the history of the Strasbourg mathematics library, in particular on its unlikely enrichment during the second WW. The German period of Strasbourg ended with the German defeat in 1918. The subsequent French period was disrupted by the 1939 evacuation of Strasbourg and the annexation of Alsace-Lorraine by the Nazi government in 1940. When Strasbourg was liberated in November 1944, most of the mathematical library was put up elsewhere, a large part of it at Oberwolfach.
本文概述了19世纪80年代至二战后斯特拉斯堡大学图书馆的历史,并重点介绍了斯特拉斯堡数学图书馆的历史,特别是它在第二次世界大战期间出人意料的丰富。1918年,德国战败,斯特拉斯堡时期结束。随后的法国时期被1939年斯特拉斯堡的撤离和1940年纳粹政府吞并阿尔萨斯-洛林所打乱。1944年11月斯特拉斯堡解放后,数学图书馆的大部分藏书被安置在其他地方,其中很大一部分在奥伯沃尔法赫。
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引用次数: 0
IF 0.4 3区 哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE Pub Date : 2025-12-01 DOI: 10.1016/j.hm.2025.10.001
Marco Storni
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引用次数: 0
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Historia Mathematica
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