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Explore how mathematical abstractions, particularly in category theory, can be redesigned to better serve societal needs in this colloquium talk from the Topos Institute. Examine the risks that emerge when computing abstractions diverge from real-world contexts, especially in AI applications, and discover how current abstraction practices may inadvertently overlook crucial human values. Learn about a proposed framework for creating more accessible, responsive, and pluralistic approaches to abstraction that mathematicians and category theorists can contribute to society. Investigate practical applications of these principles through Topos Institute's collaborative modeling platform CatColab, which demonstrates how mathematical tools can be made more relevant to diverse communities and contexts. Gain insights into bridging the gap between abstract mathematical concepts and their meaningful application in addressing contemporary technological and social challenges.
