She is an incurable romantic.

Incurable romantics believe in true love and happily ever after.

The military launched an incursion into enemy territory.

There have been multiple incursions into enemy territory.

The incurrence of debt can lead to financial difficulties.

There were multiple incurrences of the same issue throughout the project.

She glanced at the book incuriously.

She was incurious about the new movie.

Her incuriousness prevented her from exploring new ideas and experiences.

The incursive army quickly overtook the city.