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Mikkel Johansen
University of Copenhagen
  1.  15
    Mathematicians Writing for Mathematicians.Line Edslev Andersen, Mikkel Willum Johansen & Henrik Kragh Sørensen - 2019 - Synthese 198 (Suppl 26):6233-6250.
    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 not yet (...)
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  2.  6
    Adapting practice-based philosophy of science to teaching of science students.Sara Green, Hanne Andersen, Kristian Danielsen, Claus Emmeche, Christian Joas, Mikkel Willum Johansen, Caio Nagayoshi, Joeri Witteveen & Henrik Kragh Sørensen - 2021 - European Journal for Philosophy of Science 11 (3):1-18.
    The “practice turn” in philosophy of science has strengthened the connections between philosophy and scientific practice. Apart from reinvigorating philosophy of science, this also increases the relevance of philosophical research for science, society, and science education. In this paper, we reflect on our extensive experience with teaching mandatory philosophy of science courses to science students from a range of programs at University of Copenhagen. We highlight some of the lessons we have learned in making philosophy of science “fit for teaching” (...)
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  3.  22
    Semiotic Scaffolding in Mathematics.Mikkel Willum Johansen & Morten Misfeldt - 2015 - Biosemiotics 8 (2):325-340.
    This paper investigates the notion of semiotic scaffolding in relation to mathematics by considering its influence on mathematical activities, and on the evolution of mathematics as a research field. We will do this by analyzing the role different representational forms play in mathematical cognition, and more broadly on mathematical activities. In the main part of the paper, we will present and analyze three different cases. For the first case, we investigate the semiotic scaffolding involved in pencil and paper multiplication. For (...)
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  4.  14
    Computers as a Source of A Posteriori Knowledge in Mathematics.Mikkel Willum Johansen & Morten Misfeldt - 2016 - International Studies in the Philosophy of Science 30 (2):111-127.
    Electronic computers form an integral part of modern mathematical practice. Several high-profile results have been proven with techniques where computer calculations form an essential part of the proof. In the traditional philosophical literature, such proofs have been taken to constitute a posteriori knowledge. However, this traditional stance has recently been challenged by Mark McEvoy, who claims that computer calculations can constitute a priori mathematical proofs, even in cases where the calculations made by the computer are too numerous to be surveyed (...)
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    Handling Anomalous Data in the Lab: Students’ Perspectives on Deleting and Discarding.Mikkel Willum Johansen & Frederik Voetmann Christiansen - 2020 - Science and Engineering Ethics 26 (2):1107-1128.
    This paper presents and discusses empirical results from a survey about the research practice of Danish chemistry students, with a main focus on the question of anomalous data. It seeks to investigate how such data is handled by students, with special attention to so-called ‘questionable research practices’ where anomalous data are simply deleted or discarded. This question of QRPs is of particular importance as the educational practices students experience may influence how they act in their future professional careers, for instance (...)
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