Intuitionism Resocialized

Individuals, Communities, and the Evolution of Mathematical Knowledge
Erscheinungsjahr 2025
ISBN: 978-3-032-05838-6
Verlag: Springer

Buch, Englisch, 142 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 410 g

Reihe: Studies in History and Philosophy of Science

This book provides a fresh perspective on how mathematicians interpreted and responded to Dutch mathematician L.E.J. Brouwer's ideas. It offers an original outlook on the dynamics between mathematicians, their commitments to their working frameworks, and the establishment of scientific norms. Expanding on the collective scientific work literature, it prompts a dialogue on applying insights from social epistemology to mathematics, exploring whether such an approach can offer new insights into individual and communal responses to Brouwer's intuitionistic pursuit. As a result, the book is of great value to those interested in STS studies, history and philosophy of science and sociology of science, delving into topics like the social construction of knowledge, epistemic cultures, and disagreements and trust in communities. Amid ongoing discussions about the marginalization and legitimization of knowledge, this book arrives just at the right time to offer a thorough exploration of the reasons behind the marginalization of a specific school in the history of mathematics.

Zielgruppe

Research

Autoren/Hrsg.

Kish Bar-On, Kati

Fachgebiete

• Geisteswissenschaften Philosophie Wissenschaftstheorie, Wissenschaftsphilosophie
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik

Inhaltsverzeichnis

-Preface.- Chapter 1. Introduction - From Dissent to Dismissal - Brouwer's Journey in Mathematical Annals.- Chapter 2. Reception Unveiled - Navigating Intuitionistic Narratives.- Chapter 3. Ideas Unleashed - Philosophical Catalysts For Mathematical Revolution.- Chapter 4. Modernist Transformations - Rethinking the Origins Of Change.- Chapter 5. Navigating Ambivalence - Hermann Weyl's Path through Intuitionistic Terrain.- Chapter 6. Transcending Communal Boundaries - Brouwer's Intuitionism in Philosophical Discourse.- Chapter 7. Interwoven Narratives - Unveiling The Social Fabric Of Mathematics.- Index.

Über Autor(innen)

Kati Kish Bar-On is a postdoctoral research fellow in the Science, Technology and Society program at MIT. Her research lies at the intersection of the history and philosophy of mathematics with the philosophy of social science. She combines historical examinations of primary sources with methods from philosophy of science and philosophy of psychology to provide new ways of understanding the nature of mathematics as situated, on the one hand, in individual thinking, and on the other, in social reality. This is her first book manuscript, based on extensive research conducted over eight years. Funding for her research endeavors has been provided by the STS program at MIT, the European Commission Horizon Europe (Marie Sklodowska-Curie Actions fellowship, Project number 101108426), the Rothschild foundation, and Tel Aviv University. Kati's scholarly contributions can be found in reputable publications such as Philosophy of Science, Synthese, PNAS Nexus, Studies in History and Philosophy of Science, Perspectives on Psychological Science, Philosophical Transactions of the Royal Society B: Biological Sciences, Science in Context, and Behavioral and Brain Sciences.