•  169
    Experimental mathematics in the 1990s: A second loss of certainty?
    Oberwolfach Reports (12): 601--604. 2010.
    In this paper, I describe some aspects of the phenomenon of "experimental mathematics" in order to discuss whether it constitutes a subdiscipline or a particular style of mathematics. My conclusion is that neither of these notions accurately capture the complex culture of experimental mathematics.
  •  139
    Making Philosophy of Science Relevant for Science Students
    Centre for Science Studies, University of Aarhus. 2012.
    Since 2004, it has been mandated by law that all Danish undergraduate university programmes have to include a compulsory course on the philosophy of science for that particular program. At the Faculty of Science and Technology, Aarhus University, the responsibility for designing and running such courses were given to the Centre for Science Studies, where a series of courses were developed aiming at the various bachelor educations of the Faculty. Since 2005, the Centre has been running a dozen di…Read more
  •  29
    In the present paper, I go beyond these examples by bringing into play an example that I nd more experimental in nature, namely that of the use of the so-called PSLQ algorithm in researching integer relations between numerical constants. It is the purpose of this paper to combine a historical presentation with a preliminary exploration of some philosophical aspects of the notion of experiment in experimental mathematics. This dual goal will be sought by analysing these aspects as they are presen…Read more
  •  6
    In Honour of Kirsti Andersen
    with Jesper Lützen
    Centaurus 52 (1): 1-3. 2010.
  •  5
    We present a case study of how mathematicians write for mathematicians. We have conducted interviews with two research mathematicians, the talented PhD student Adam and his experienced supervisor Thomas, about a research paper they wrote together. Over the course of 2 years, Adam and Thomas revised Adam’s very detailed first draft. At the beginning of this collaboration, Adam was very knowledgeable about the subject of the paper and had good presentational skills but, as a new PhD student, did n…Read more
  •  4
    Reviews (review)
    with Charlotte Methuen
    Centaurus 48 (1): 66-68. 2006.
  • Abel and his mathematics in contexts
    NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin 10 (1-3): 137-155. 2002.