Why context is in the name

The full name is Model Context Protocol.

The model is the language model inside the AI application. Context is the information available while it forms a reply. The protocol is the agreement used to reach programs that can supply more information or perform work.

A server might return a file, a database record, or the result of an action. The application can place that result into the model's context for the next step.

The name describes the bridge, not a new kind of intelligence.