Category Theory

Jakob and Todd discuss category theory, an important field in modern mathematics that focuses on the relations (morphisms) between mathematical objects. We discuss the importance of abstraction and the development in the history of mathematics beyond solving particular problems to studying the general nature of mathematical structures as such, the kinds of problems that can and can’t be solved, their properties, etc. We also consider the significance of a relation-centered approach to other fields, how things like languages, theories, and beliefs can be analyzed by the relations between their constituent elements.

For the visual aids referred to in the discussion see the video version on YouTube.

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