Gestures and Diagrams in Visual-Spatial Communication: Methodological Tools and Applications in Mathematics and Logic

Project Participants

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.

  

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
DateEventOrganization
27.09.-01.10.24DIAGRAMS 2024Jens Lemanski, Reetu Bhattacharjee, Niko Strobach, Mikkel Willum Johansen, Jorge Petrucio Viana, Emmnauel Manalo, Richard Burns, Leonie Bosveld, Silvia de Toffoli, Andrea Reichenberger & Giulia Ferrari