Mikkel Willum Johansen
Biographic Data
| ID | 1285594 |
|---|---|
| NAME | Mikkel Willum Johansen |
| GIVEN NAMES | Mikkel Willum |
| FAMILY NAME | Johansen |
| SIGNATURE | JOHANSEN M W |
| AFFILIATIONS | University of Copenhagen |
| ORCID | 0000-0003-0454-2678 |
| VERIFIED | Yes |
| TOTAL WORKS | 6 |
| TOTAL CITATIONS | 6 |
| WORKS AS AUTHOR | 6 |
| WORKS AS EDITOR | 0 |
| FIRST PUBLICATION YEAR | 2020 |
| LATEST PUBLICATION YEAR | 2024 |
| H-INDEX | 2 |
What is an experiment in mathematical practice? New evidence from mining the Mathematical Reviews
From a purely formalist viewpoint on the philosophy of mathematics, experiments cannot (and should not) play a role in warranting mathematical statements but must be confined to heuristics. Yet, due to the incorporation of new mathematical methods such as computer-assisted experimentation in mathematical practice, experiments are now conducted and used in a much broader range of epistemic practices such as concept formation, validation, and commu…
Textual materiality and abstraction in mathematics
In this paper, we wish to explore the role that textual representations play in the creation of new mathematical objects. We do so by analyzing texts by Joseph-Louis Lagrange (1736–1813) and Évariste Galois (1811–1832), which are seen as central to the historical development of the mathematical concept of groups. In our analysis, we consider how the material features of representations relate to the changes in conceptualization that we see in the…
Entering the valley of formalism
Mathematicians writing for mathematicians
Handling Anomalous Data in the Lab
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' (QRPs) where anomalous data are simply deleted or discarded. This question of QRPs is of particular importance as the educational practices s…
Material representations in mathematical research practice
Handling Anomalous Data in the Lab
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' (QRPs) where anomalous data are simply deleted or discarded. This question of QRPs is of particular importance as the educational practices s…
Material representations in mathematical research practice
Mathematicians writing for mathematicians
Textual materiality and abstraction in mathematics
In this paper, we wish to explore the role that textual representations play in the creation of new mathematical objects. We do so by analyzing texts by Joseph-Louis Lagrange (1736–1813) and Évariste Galois (1811–1832), which are seen as central to the historical development of the mathematical concept of groups. In our analysis, we consider how the material features of representations relate to the changes in conceptualization that we see in the…
Entering the valley of formalism
What is an experiment in mathematical practice? New evidence from mining the Mathematical Reviews
From a purely formalist viewpoint on the philosophy of mathematics, experiments cannot (and should not) play a role in warranting mathematical statements but must be confined to heuristics. Yet, due to the incorporation of new mathematical methods such as computer-assisted experimentation in mathematical practice, experiments are now conducted and used in a much broader range of epistemic practices such as concept formation, validation, and commu…
Mathematics Education and Teaching Techniques (5 works) · Epistemology (4 works) · Computer Science (3 works) · History and Theory of Mathematics (3 works) · Mathematics (3 works) · Metaphysics (3 works) · Philosophy (3 works) · Philosophy of language (3 works) · Artificial Intelligence (2 works) · Artificial Intelligence (2 works)