Seven ways to visualize functions

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 Foundations 7: Dependent Type Theory Category Theory For Beginners: Everyday Language Category Theory For Beginners: Introduction