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Programming as Mathematical Structure
- Programming is essentially a mathematical activity focused on structure and composition.
- Category theory perfectly models programming by describing objects and arrows representing interactions.
Category Theory Explains Composition
- Category theory studies all ways to compose and decompose things via structure and interaction.
- It describes systems abstractly by parts and their relationships, enabling clearer understanding and modular design.
Why Functional Programming Fits Category Theory
- Functional programming uses category theory because it is mathematically structured and less hacky.
- Imperative programming lacks well-defined mathematical structure making category theory less applicable.