This project investigates the role of gestures and diagrams in the philosophy and history of logic and mathematics, with a particular focus on their ethnographic, semiotic, and semantic dimensions from a gender perspective. It examines how mathematical and logical knowledge is communicated through embodied and visual practices, and how these practices relate to the tension between claims of objectivity and the diverse, culturally shaped realities of knowledge production.

Project Members
Project Description
In recent years, the question of what role gestures and diagrams play for the teaching and learning of mathematics has increasingly become the focus of research under the heading of “embodied mathematics”. A number of studies at the intersection of sociology, linguistics, psychology and gender studies have investigated the complex interplay of visual communication and gestures, bodily performance and situational interaction from a gender-sensitive perspective. The aim of our project is to analyse gestures and diagrams not in the situational context of the classroom, but in the philosophy and history of logic and mathematics. We are entering new territory with this project. For the technical language communication of mathematics and logic ethnographic, semiotic and semantic aspects of gestures and diagrams have not been examined so far, at least not from a gender perspective. We aim to provide answers to the tension that mathematical and logical knowledge, on the one hand, is considered true, objective, reliable and gender-neutral, and, on the other hand, was and is plural and diverse as a cultural practice shaped by human concerns.
Selected Publications and Data
Journal articles
Bhattacharjee, R. (2024). Direct Reduction of Syllogisms with Byzantine Diagrams. History and Philosophy of Logic, 1–22. https://doi.org/10.1080/01445340.2024.2336411.
Lemanski, J. (2023). Seneca’s and Porphyry’s Trees in Modern Interpretation. In Jens Lemanski & Ingolf Max (eds.), Historia Logicae and its Modern Interpretation. London: College Publications. pp. 61-87.
Lemanski, J. (2023). Analyzing the philosophy of travel with Schopenhauerian argument maps. Southern Journal of Philosophy, 61 (4):588-606.
Lemanski, J. (2024). Individuals, Existence, and Existential Commitment in Visual Reasoning. Open Philosophy, 7 (1):1-25.
Lemanski, J. (2024). Transcendental philosophy and logic diagrams. Philosophical Investigations.
Lemanski, J. (2024). Kant’s Crucial Contribution to Euler Diagrams. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie, 55 (1):59–78.
Reichenberger, A., Bhattacharjee, R., Lemanski, J. (2025) The Role of Gestures in Logic. In: Multimodal Communication. De Gruyter.
Conference papers
Henlein, A., A. Bauer, R. Bhattacharjee, A. Ćwiek, A. Gregori, F.Kügler, J. Lemanski, A. Lücking, A. Mehler, P. Prieto, P. G. Sánchez-Ramón, J. Schepens, M. Schulte-Rüther, S. R.Schweinberger & C. I. von Eiff. 2024. An Outlook for AI Innovation in MultimodalCommunication Research. Lecture Notes in Computer Science, Springer Cham.
Moktefi, A., Bhattacharjee, R., Lemanski, J. (2024). Representing Uncertainty with Expanded Ueberweg Diagrams. In: Lemanski, J., et. al. (eds), Proceedings of Diagrammatic Representation and Inference, 14th International Conference, Diagrams 2024, LNAI. Vol 14981, pp 207–214, Springer.
Lemanski, J., Bhattacharjee, R. (2024). On the Expressivity of Byzantine Diagrams in Logic. In: Lemanski, J., et. al. (eds), Proceedings of Diagrammatic Representation and Inference, 14th International Conference, Diagrams 2024, LNAI. Vol 14981, pp 429–445, Springer.
Book chapters
Lemanski, J. (2023). Schopenhauer’s Representationalist Theory of Rationality: Logic, Eristic, Language and Mathematics. In David Bather Woods & Timothy Stoll (eds.), The Schopenhauerian mind. New York, NY: Routledge. pp. 22-40.
Books
Lemanski, J. & Max, Ingolf (eds.) (2023). Historia Logicae and its Modern Interpretation. London: College Publications.
Lemanski, J.; Johansen, M. Willum.; Manalo, E.; Viana, P.; Bhattacharjee, R. & Burns, R. (eds.) (2024). Diagrammatic Representation and Inference, 14th International Conference, Diagrams 2024, Münster, Germany, September 27 – October 1, 2024, Proceedings. Cham: Springer.
Events
| Date | Event | Organization |
|---|---|---|
| 27.09.-01.10.24 | DIAGRAMS 2024 | Jens Lemanski, Reetu Bhattacharjee, Niko Strobach, Mikkel Willum Johansen, Jorge Petrucio Viana, Emmnauel Manalo, Richard Burns, Leonie Bosveld, Silvia de Toffoli, Andrea Reichenberger & Giulia Ferrari |



