creating and making words

I was recently confused by someone who was using creating and inventing (& creator and inventor) interchangeably. I found this confusing. There must be a difference, and it may be useful to understand it.

I came up with these definitions for various creativity-related terms. They're not perfect, and there are exceptions, but sharing here as others may find this useful.

Make - To produce something

Create - To make something that has existed before

Invent - To create something that has never been created before

Innovate - To create something by combining existing things or ideas in a new way

Design - To create something for a specific need or purpose

But what about "creativity'?

In my experience, I believe this is mostly used as a shorthand for idea creation. Being creative means coming up with lots of ideas, possibly using invention or innovation, and seeing how they can meet a need or requirement.