What does it mean that shortest path reveals hidden connections?

The shortest route between two seemingly unrelated ideas shows how they connect.

Example: You're studying behavioral economics and notice a connection to evolutionary biology — but you can't articulate why. You trace the shortest path through your knowledge graph: behavioral economics → loss aversion → threat detection → survival heuristics → evolutionary biology. Five hops. Each hop is a relationship you already knew. The path was always there — you just never traversed it. Now you have an explicit chain of reasoning you can use, teach, and build on.

Try this: Pick two ideas in your knowledge system that seem unrelated — one from your professional domain, one from a personal interest. Write both down. Now try to connect them in as few intermediate concepts as possible. Write each intermediate concept as a node. If you get stuck, try a different intermediate. When you find a path, examine each link: does this connection suggest an insight you hadn't noticed before?