B:52

“Conceptual Divergence – Canons and Taboos – and Critique: Reflections on Explanatory Categories”. Historia Mathematica 31 (2004), 129–147. Preprint. The original publication is available at http://www.sciencedirect.com/science/journal/03150860.

 

G:23

“Practitioners – School Teachers – ‘Mathematicians’: the Divisions of Pre-Modern Mathematics and Its Actors”. Contribution to the conference “Writing and Rewriting the History of Science 1900–2000”, Les Treilles, 5–11 September 2003. Mimeo, September 2003.

 

C:38

“The Algorithm Concept – Tool for Historiographic Interpretation or Red Herring”, pp. 261–272 in Arnold Beckmann, Costas Dimitracopoulos  & Benedikt Löwe (eds), Logic and Theory of Algorithms. 4th Conference on Computability in Europe, CiE 2008, Athens, Greece, June 15-20, 2008. Proceedings. (Lecture Notes in Computer Science, 5028). Berlin & Heidelberg: Springer, 2008. Camera-ready manuscript.

 

G:51

 

 “When is the algorithm concept pertinent – and when not? Thoughts about algorithms and paradigmatic examples, and about algorithmic and non-algorithmic mathematical cultures”. Contribution to the International Conference on History of Ancient Mathematics and Astronomy “Algorithms in the Mathematical Sciences in the Ancient World”, Xi’an, 23–29 August 2015. Roskilde University, 1.9.2015

 

 

 [Critical abstract of Sabetai Unguru & David Rowe, Does the quadratic equation have Greek roots? A study of `Geometric Algebra´, `Application of Areas´ and related problems. Libertas Mathematica 1 (1981), 149; 2 (1962), 162. Zentralblatt für Mathematik und ihre Grenzgebiete 504.01002

 

 B:66

 

 What Is `Geometric Algebra', and What Has It Been in Historiography?. AIMS Mathematics 2 (2017), 128-160.

 

 B:68

 

When is the Algorithm Concept Pertinent – and When Not? Thoughts about Algorithms and Paradigmatic Examples, and about Algorithmic and Non-Algorithmic Mathematical Cultures. AIMS Mathematics 3 (2018), 211–232. 

 

C:64

 

 

Guānyú yōuxiān, cuòwù hé zhèngquè – gāo dé nà, gāo dé nà, Wú Wénjùn, yǐjí suànfǎ [On Being First, Being Wrong and Being Right: Knuth, ‘Knuth’, Wu Wenjun, and Algorithms; Chinese translation by Zheng Fanglei], pp. 82–92 in JI Yungang & XU Khanlin,(eds), Lùn Wú Wénjùn de shùxué shǐ yèjī [On Wu Wenjun’s Achievements in History of Mathematics]. Shanghai: Shanghai Jiaotong University Press, 2019. English manuscript.