Seven ways to visualize functions

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I describe how mathematical functions can be visualized by: • (1) elements and arrows • (2) Wiring diagrams • (3) fibres • (4) bouquets • (5) graphs • (6) ontology logs • (7) categories • These ideas have applications throughout mathematics and beyond. Notable applications include set theory, cooking, planning, functional programming, dependent type theory, linguistics and category theory. • Category Theory For Beginners: Cooking, Monoidal Categories and Programming •    • Category Theory For Beginners: Cookin...   • Foundations 7: Dependent Type Theory •    • Foundations 7: Dependent Type Theory   • Category Theory For Beginners: Everyday Language •    • Category Theory For Beginners: Everyd...   • Category Theory For Beginners: Introduction •    • Category Theory For Beginners: Introd...  

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