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The Irony of Romantic Mathematics: Bridging the Historiographies of Literature and Mathematics

Configurations, 2016
This essay juxtaposes a particular a set of novel mathematical ideas from the early nineteenth century with a synchronous development in literary criticism. Important mathematical discoveries of the 1820s, such as non-Euclidean geometries, new impossibility results, and new proof ideals, exhibit structural similarities with notions of Romantic ...
Thomasen, Laura Søvsø   +1 more
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Historiography of Mathematics: Aims, Methods, Tasks

1991
There are various and different approaches to the history of mathematics. No doubt they reflect differing conceptions. The divergence refers to the aims, methods, and tasks; sometimes even the question of the sense of its history is at issue. For me, history of science and mathematics enables us to understand the history of humankind (Wusing, 1979).
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Mathematical Reconstructions Out, Textual Studies In : 30 Years in the Historiography of Greek Mathematics

Revue d'histoire des mathématiques, 2018
The author describes how the historiography of ancient Greek mathematics, around 1970 seemingly a topic on which everything that could be known (given the source situation) was already known, has returned to new but different life in recent decades. ``With some oversimplification'', the conclusion (p. 139) sums up the changes that characterize this new
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On Historiography of Teaching and Learning Mathematics

2013
This chapter first outlines the development of the historiography of mathematics education from its beginnings in the nineteenth century and the thematic focus of published studies. While for a long time the studies were pursued within the realm of the national history of education, over the last decades a growing emphasis was placed on international ...
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On the Role of Mathematical Biology in Contemporary Historiography

History and Theory, 1999
This essay proposes that mathematical biology can be used as a fruitful exemplar for the introduction of scientific principles to history. After reviewing the antecedents of the application of mathematics to biology, in partiicular evolutionary biology, describe in detail a mathematical model of cultural diffusion based on an analogy with population ...
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Explanation in the historiography of mathematics: The case of Hamilton's quaternions

Studies in History and Philosophy of Science Part A, 1995
Acknowledging all recent studies on the genesis of quaternions, the author questions the possibility of providing a rational explanation of R. W. Hamilton's breakthrough, by deploying W. H. Dray's `RE-model' and B. C. Van Fraassen's notion of `contrast class'. Distinguishing, after Dray, between `Why questions' and `How questions', Koetsier studies the
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