Posterity (noun)

1. All future generations.
2. The descendants of a particular person or family.
3. The state or condition of being remembered by posterity.

Origin:

From latin posteritās, from posterus "coming after".

Examples:

1. He wrote the book for posterity, hoping it would be read and valued by future generations.
2. The great works of art will be passed down to posterity.
3. He wanted to leave something behind for posterity.
4. The stately home was passed down through posterity for many generations.
5. The decision was made with posterity in mind.