Category Theory from First Principles
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A complete beginner course

Category theory, from the beginning.

Start with definitions, sets, functions, relations, and basic algebra. Then build category theory step by step until you can use universal properties, Yoneda, adjunctions, monads, and compositional agent planning.

24 units240 checks45–60h guided study
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Prerequisites

No set theory, abstract algebra, or proof experience is assumed. Basic arithmetic and patience with new notation are enough.

Course outcome

Read commuting diagrams, use universal properties, and explain functors, natural transformations, Yoneda, adjunctions, and monads with precise examples.