Math and AI

Kati Kish Bar-on & Michael Friedman (Boston University & Harvard Business School; Bonn University): "A Tool or A Collaborator? Rethinking Mathematical Intuition, Agency, and Practice in the Age of AI" The Eighth International Meeting of the Association for the Philosophy of Mathematical Practice (APMP) took place at Chapman University on January 12-15, 2026. Please see the conference webpage for more information: https://www.chapman.edu/scst/graduate/apmp-conference-2025.aspx

הרצאה במחלקה לחינוך מתמטי במכון ויצמן, דצמבר 2025

Science Abroad webinar: October 30, 2025

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Kish Bar-On, K. (2024). Beyond binary group categorization: towards a dynamic view of human groups. Philosophical Psychology, 1-28. https://doi.org/10.1080/09515089.2024.2398622 Chat: 00:30:00 Jorge Soto-Andrade: A multi - group group… 00:54:19 Jorge Soto-Andrade: Apologies : may need to turn off my camera now and then because of poor connectivity… 00:54:37 Dor Abrahamson: Reacted to "Apologies : may need..." with 👍 01:18:29 Trevor Marchand: al-muqaddimah 01:18:36 Dor Abrahamson: katik@mit.edu 01:20:42 Dor Abrahamson: e.g., Schelling on segregation: https://www.netlogoweb.org/launch#https://www.netlogoweb.org/assets/modelslib/IABM%20Textbook/chapter%203/Segregation%20Extensions/Segregation%20Simple%20Extension%201.nlogo 01:23:51 Jorge Soto-Andrade: Shelling!!! 01:27:54 Trevor Marchand: Segmentary lineage theory - EE Evans-Pritchard, The Nuer (1940); 01:29:34 Jorge Soto-Andrade: Group as a system… 01:30:58 Jorge Soto-Andrade: Nice! 01:41:44 Jorge Soto-Andrade: Rather asynchrony? decoupling? 01:42:18 Jorge Soto-Andrade: Some groups are more fundamentalist than others… 01:42:33 Dor Abrahamson: meta-stability 01:42:58 Jorge Soto-Andrade: Are there cases in which you could have predicted that the group was going to split? 01:43:15 Dor Abrahamson: Thresholds 01:43:39 Nir O.: I must leave due to time difference. Thank you 01:43:56 Dor Abrahamson: See you next time! 01:44:01 Nir O.: Reacted to "See you next time!" with 👍 01:44:14 Jorge Soto-Andrade: Patriarchal religious group tend to split more easily … 01:44:32 Jorge Soto-Andrade: What about feminist philosophical approaches? 01:47:27 Jorge Soto-Andrade: Are there nice examples where you see transient groups emerging, splitting and dissolving ? 01:48:13 Jorge Soto-Andrade: Maybe some Japanese math problem solving classrooms? 01:49:35 Dor Abrahamson: https://www.dropbox.com/scl/fi/p7imr0c6pbpfg9b7lem9b/Heinonen.Tainio.2023.HumanStudies.intercorporeal.pdf?rlkey=vg5u6xxkjirfci3lt6ez5ygx9&dl=0 01:52:20 Andrzej Molenda: Replying to "Are there nice examp..." I like "dissolving" since it refers more to fluid dynamics and less to the solid state matter like: "split" 🙂 01:54:49 Jorge Soto-Andrade: Reacted to "I like "dissolving" ..." with 👍 01:56:45 Jorge Soto-Andrade: Bourbaki is a nice example of a group (btw one of his avatars was my thesis advisor). 01:58:13 Jorge Soto-Andrade: Leo Corry has a nice book on them … (Rising of algebra and structures …) 01:58:30 Jorge Soto-Andrade: Hermann Weyl 01:59:13 Jorge Soto-Andrade: Not to be confused with Andre Weil (who was a member of Bourbaki) 02:01:30 Jorge Soto-Andrade: Nice example … 02:02:53 Jorge Soto-Andrade: Hermann Weyl: Group theory and quantum mechanics 02:05:26 Jorge Soto-Andrade: Multi-podal groups? 02:08:45 Dor Abrahamson: https://en.wikipedia.org/wiki/Christopher_Boehm 02:09:59 JOHN D MCGINTY: Thank you for an interesting paper and thoughtful discussion. 02:10:07 Zoe Daunt: Fascinating conversation, thank you!! 02:10:14 Gabriela Hernandez: thank you! 02:10:19 Paola Ramirez: Thank you!!! 02:10:31 Olga Fellus: This was fascinating! Thank you! Take care everyone 02:10:58 Jessica Benally: Thank you very interesting conversation! 02:11:01 Ter Booth: Thank you!!

The Orange County Inland Empire (OCIE) Seminar series in History and Philosophy of Mathematics takes place at Chapman University as its main host, and is co-organized together with researchers from UC Riverside, CSU San Bernardino, and Pitzer College. It also occasionally integrates the Chapman University D.Sc. program in Math, Philosophy and Physics as its Graduate Colloquium. The seminars are held in hybrid format on the Chapman University campus in the Keck Center, home of Schmid College of Science and Technology, or on Zoom. On January 12, 2024, Kati Kish Bar-On, Ph.D., presented her talk “Mathematics and Society Reunited: The Social Aspects of Brouwer’s Intuitionism.” ABSTRACT: Brouwer’s philosophy of mathematics is usually regarded as an intra-subjective, even solipsistic approach, which also underlies his mathematical intuitionism, as he strived to create mathematics that develops out of something inner and a‑linguistic. Thus, points of connection between Brouwer’s views and the social world seem less probable and are rarely mentioned in the literature. In this lecture, I examine Brouwer’s views on the construction, use, and practice of mathematics through a socially oriented prism. I highlight the social character of mathematical practice as Brouwer addressed it in the Significs Dialogues - documented dialogues between Brouwer and other members of the Signific Circle, a social movement focused on the connection between language, mathematics, and society centered in the Netherlands. After fleshing out the connection between society, people, and mathematical knowledge in Brouwer’s thought, I pose two critical questions: (1) How do social, personal, and political events have shaped the development of intuitionism, and (2) How does Brouwer’s social perspective affected the content of his intuitionism. The lecture concludes by discussing possible implications and future research trajectories.

Title: Mathematics and Society Reunited: The Social Aspects of Brouwer’s Intuitionism Abstract: Brouwer’s philosophy of mathematics is usually regarded as an intra-subjective, even solipsistic approach, which also underlies his mathematical intuitionism, as he strived to create mathematics that develops out of something inner and linguistic. Thus, points of connection between Brouwer’s views and the social world seem less probable and are rarely mentioned in the literature. In this lecture, I examine Brouwer’s views on the construction, use, and practice of mathematics through a socially oriented prism. I highlight the social character of mathematical practice as Brouwer addressed it in the Significs Dialogues – documented dialogues between Brouwer and other members of the Signific Circle, a social movement focused on the connection between language, mathematics, and society. I show how fleshing out the connection between society, people, and mathematical knowledge in Brouwer’s thought poses two critical questions regarding the twofold effect of social, personal, and political events on the evolution of intuitionistic mathematics, on the one hand, and the content of Brouwer’s intuitionism, on the other.