Displaying similar documents to “Liminary on Guilbaud's 1952 paper.”

Thomas Harriot on Combinations

Ian Maclean (2005)

Revue d'histoire des mathématiques

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Thomas Harriot (1560?–1621) is known today as an innovative mathematician and a natural philosopher with wide intellectual horizons. This paper will look at his interest in combinations in three contexts: language (anagrams), natural philosophy (the question of atomism) and mathematics (number theory), in order to assess where to situate him in respect of three current historiographical debates: 1) whether there existed in the late Renaissance two opposed mentalities, the occult and...

Positive Thinking. Conceptions of Negative Quantities in the Netherlands and the Reception of Lacroix’s Algebra Textbook

Danny J. Beckers (2000)

Revue d'histoire des mathématiques

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The beginning of the 19th century witnessed the emergence of several new approaches to negative numbers. New notions of rigour made the 18th century conceptions of negative quantities unacceptable. This paper discusses theories of negative numbers emerging in the Netherlands in the early 19th century. Dutch mathematicians then opted for a different approach than that of their contemporaries, in Germany or France. The Dutch translation (1821) of Lacroix’s illustrates the ‘Dutch’ notion...

Betwixt Jesuit and Enlightenment Historiography: Jean-Sylvain Bailly’s History of Indian Astronomy

Dhruv Raina (2003)

Revue d'histoire des mathématiques

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The crystallization of scientific disciplines in late eighteenth-century Europe was accompanied by the proliferation of specialist histories of science. These histories were framed as much by the imperatives of the astronomy of the times as they were by the compulsions of disciplinary differentiation. This paper attempts to contextualise the engagement with the astronomy of India in the histories of astronomy authored in the eighteenth century by the astronomer Jean-Sylvain Bailly. While...

A Programmatic Note: on two Types of Intertextuality

Reviel Netz (2005)

Revue d'histoire des mathématiques

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The note addresses briefly some reactions to a previous article “”. In particular it looks at the question: if indeed any text must depend on previous texts, what makes the dependency of commentary and commentary-like text so special to justify my emphasis on this form of writing ? A suggestion is developed, trying to define Deuteronomic texts through their precise semiotics of intertextuality: in general, it is argued, intertextuality may be paradigmatic (= allusion) or syntagmatic...

Mathematics and Morality on the Cusp of Modernity

Peter Dear (2001)

Revue d'histoire des mathématiques

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This note suggests that a fruitful way of investigating the history of mathematics lies in consideration of its pedagogical purposes. As a general illustration of the directions that such an approach might take, the paper discusses early-modern arguments for the practical utility of mathematics and its capacity to inculcate good habits of thought, as well as the appearance of new uses for mathematical training in the later eighteenth and early nineteenth centuries that served the purpose...

An Exciting New Arabic Version of Euclid’s Elements: MS Mumbai, MULLĀ FĪ RŪ Z R.I.6

Sonja Brentjes (2006)

Revue d'histoire des mathématiques

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This paper introduces an anonymous and undated Arabic version of Euclid’s . It tries to determine its relationship to the textual history of the Arabic as known today. The value of the version, the paper argues, is its close relationship to the works of the first known translator of Euclid’s into Arabic, al-Ḥajjāj b.Yūsuf b.Maṭar, the light it sheds on philosophical debates surrounding the , and the new textual basis (BooksI toIX with some lacunae) it yields for the further study of...