G: Preprints etc. which have not or not yet given rise to a proper publication






Articles in periodicals. 



Articles in Festschriften, proceedings-volumes and other anthologies.



Articles in encyclopediae and encyclopaedic works. 



Book reviews.



Lecture notes and teaching compendia.




“Bidrag til analyse af skolefaget matematik, med visse konklusioner angående læreruddannelsen på RUC. En foreløbig skitse”. Arbejdspapir til planlægningen af RUC's matematiklæreruddannelse, december 1973. Republished pp. 41–86 in Rushåndbog 1974. København: Det Naturvidenskabelige Hovedområde ved Københavns Universitet, 1974.



“On Some Implications of a Piagetian Theory of Intelligence for Mathematics Education”. Institut for Økonomi, Politik og Administration, Roskilde Universitetscenter. Skriftserie 1976 nr. 5.



“Metodologi, normer og forskningsstyring”. Oplæg til filosofisk konktaktmøde d. 3.–4. december 1977. Institut for Økonomi, Politik og Administration, Roskilde Universitetscenter. Skriftserie 1977 nr. 10.



”Krigsøkonomien og det tekniske og videnskabelige fremskridt”. Mimeo, Roskilde Universitetscenter, april 1980.



Wissenschaftlicher Fortschritt durch Rüstung. (Deutsche Bearbeitung [of G:4]: Bernhelm Booß). Mimeo, Roskilde Universitetscenter, 1980.




“Oldbabylonisk algebra og geometrisk heuristik. En undersøgelse af en uventet begrebsverden”. Roskilde: Roskilde Universitetscenter, Institut for Uddannelsesforskning, Medieforskning og Videnskabsteori, 1982.



(ed., trans., commentary), G. A. Melikichvili, “Til spørgsmålet om de ældste klassesamfunds karakter”. Mimeo, Roskilde Universitetscenter, Institut for Uddannelsesforskning, Medieforskning og Videnskabsteori, February 1983.



“Om fredsforskning som tværvidenskab og om fredsforskning på RUC”. Mimeo, Roskilde Universitetscenter, Institut for Uddannelsesforskning, Medieforskning og Videnskabsteori, February 1983.



with Bernhelm Booss-Bavnbek. “On Mathematics and War. An Essay on the Implications, Past and Present, of the Military Involvement of the Mathematical Sciences for Their Development and Potentials.” Draft Translation and Revision [of A:4] by Jens Høyrup. Sixth International Congress on Mathematical Education, Fifth Special Day on Mathematics, Education, and Society, Budapest, July 31, 1988. Roskilde: Roskilde University Centre, Institute of Educational Research, Media Studies and Theory of Science, 1988. Included in A:10.



“Platonism or Archimedism: On the Ideology and Self-Imposed Model of Renaissance Mathematicians (1400 to 1600)”. Beitrag zum Kurs Renaissance-Philosophie und neuzeitliches Denken III: Die klassischen Interpretationen im Lichte der modernen Forschung. Preprint, Roskilde Universitetscenter, September 1, 1990. Croatian publication in B:26. Included in A:10.



“Sub‑scientific Mathematics: Undercurrents and Missing Links in the Mathematical Technology of the Hellenistic and Roman World”. Filosofi og videnskabsteori på Roskilde Universitetscenter. 3. Række: Preprints og Reprints 1990 nr. 3. Forthcoming in Aufstieg und Niedergang der römischen Welt, II vol. 37,3 (if that volume should ever happen to appear!). Manuscript.



“Mathematics and Early State Formation, or, the Janus Face of Early Mesopotamian Mathematics: Bureaucratic Tool and Expression of Scribal Professional Autonomy”. Revised contribution to the symposium «Mathematics and the State», XVIIIth International Congress of History of Science, Hamburg/Munich, 1st–9th August 1989. Filosofi og videnskabsteori på Roskilde Universitetscenter. 3. Række: Preprints og Reprints 1991 nr. 2. Included in A:10.



“The Antecedents of Algebra”. Filosofi og Videnskabsteori på Roskilde Universitetscenter. 3. Række: Preprints og Reprints 1994 Nr. 1. Contribution to Encyclopedia on the History and Philosophy of the Mathematical Sciences, vol. II, ed. Alejandro Garciadiego. Forthcoming?



On the Mensuration of the Liber mensurationum. Max-Planck-Institut für Wissenschaftsgeschichte. Preprint 13 (1995).


VAT. LAT. 4826: Jacopo da Firenze, Tractatus algorismi. Preliminary transcription of the manuscript, with occasional commentaries”. Filosofi og Videnskabsteori på Roskilde Universitetscenter. 3. Række: Preprints og Reprints 1999 Nr. 3.



“Early Mesopotamia: A Statal Society Shaped by and Shaping Its Mathematics”. Contribution au colloque “Les Mathematiques et l'état”, Cirm-Luminy, 15 octobre–19 octobre 2001. Mimeo, Roskilde University, October 2001.



“L'Algèbre de Jacopo de Florence: un défi à l'historiographie de l'algèbre presque-moderne”. Contribution au 7ème colloque maghrébin d'histoire des mathématiques arabes, Marrakech, 30 mai au 1er juin 2002. Mimeo, 28 May, 2002.



“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.



Jacopo da Firenze, Tractatus algorismi: An edition of the manuscript Milan, Trivulziana MS 90,
collated with Florence, Riccardiana MS 2236”
. Filosofi og Videnskabsteori på Roskilde Universitetscenter. 3. Række: Preprints og Reprints 2007 Nr. 2.





Über den italienischen Hintergrund der Rechenmeister-Mathematik”. Beitrag zur Tagung Die Rechenmeister in der Renaissance und der frühen Neuzeit. Stand der Forschung und Perspektiven”, München, Deutsches Museum, 29. Februar 2008. Max-Planck-Institut für Wissenschaftsgeschichte, Preprint 349.  http://www.mpiwg-berlin.mpg.de/Preprints/P349.PDF . With a correction on p. 35.




“Forgetting, celebrating and reconstructing past science. Contribution to the meeting Despre uitare : Forme ale rememorarii ”, Bucureêti, 15–16.05.2009.





“Fibonacci – Protagonist or Witness? Who Taught Catholic Christian Europe about Mediterranean Commercial Arithmetic?”. Paper presented at the workshop “Borders and Gates or Open Spaces? Knowledge Cultures in the Mediterranean During the 14th and 15th Centuries”. Preprint, 26 December 2010 ”.





The Fifteenth-Seventeenth Century Transformation of Abbacus Algebra: Perhaps – Though Not Thought of by Edgar Zilsel and Joseph Needham – the Best Illustration of the ‘Zilsel-Needham thesis’”. Summer School on the History of Algebra, Institute for the History of the Natural Sciences, Chinese Academy of Science, 1–2 September 2011. Preprint, 17 September 2011.





“Explicit and less explicit algorithmic thinking, 1200–1500: Jordanus de Nemore, and the contrast between Barthélemy de Romans et Chuquet”. Contribution to the workshop “Pratiques algorithmiques dans les mathématiques pré-modernes”, Université de Lille 3, 12-14 octobre 2011. Preprint, 18 October 2011.



“On Old Babylonian Mathematical Terminology and Its Transformations in the Mathematics of Later Periods”. Contribution to Seminar SAW: History of Mathematics, History of Economical and Financial Practices, Université Paris-Diderot, 15 June 2012: “Names of operations: Meaning of the  terms and sociolinguistic analysis”. Preprint, 21 January 2013.





Mesopotamian mathematics, seen ‘from the Inside’ (by Assyriologists) and ‘from the Outside’ (by Historians of Mathematics). Contribution to the workshop “Historiography of Mathematics in the 19th and 20th Centuries”, Bergische Universität Wuppertal, March 20-22, 2013. Preprint, 28 March 2013.





“Mucmalªt and otherwise in the Liber mahamaleth. Contribution to “Le 11ième Colloque Maghrébin sur l'histoire des mathématiques arabes”, École Normale Supérieure Kouba – Alger, 26, 27, 28 octobre 2013. Roskilde University, 3.11.2013. Additional note added to the version prepared fot the proceedings..



Embedding: Another Case of Stumbling Progress. Contribution to the workshop Mathematics in the Renaissance: Language, Methods, and Practices, ETSEIB, Barcelona, 23 January 2015. Roskilde University, 29.7.2015.



What is Mathematics: Perspectives inspired by Anthropology”. Contribution to the Emergent Mathematics Workshop, Durham University, Stockton on Tees, U.K., 16th March 2015. Roskilde University, 23.1.2015.



“Computational techniques and computational aids in Ancient Mesopotamia”. Contribution to the volume Computations and Computing Devices in Mathematics Education before the Advent of Electronic Calculators, ed. A. Volkov and V. Freiman. Roskilde University, 26.5.2015.




 “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.



 “Advanced Arithmetic from Twelfth-Century Al-Andalus, Surviving Only (and Anonymously) in Latin Translation? A Narrative That Was Never Told”. Contribution to the Conference “Narratives on Translation”, Max-Planck Institut für Wissenschaftsgeschichte, Berlin, 16–20 November 2015. . Roskilde University, 23.11.2015.



“What is 'geometric algebra', and what has it been in historiography?”. Contribution to the session "Histoire de l’historiographie de l’algèbre", Séminaire Histoire et Philosophie des Mathématiques, CNRS, SPHERE, & projet ERC SAW, Université Paris Diderot, 11 janvier 2016. Preprint, 15.1.2016.



“Seleucid, Demotic and Mediterranean mathematics versus Chapters VIII and IX of the Nine Chapters: accidental or significant similarities?”. Contribution to the workshop, "Mathematical Texts in East Asia Mathematical History", Tsinghua Sanya International Mathematics Forum, March 11–15, 2016. Preprint, 17.3.2016



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