We the people of the United States, in order to form a more perfect union, establish justice, insure domestic tranquility, provide for the common defense, promote the general welfare, and secure the blessings of liberty to ourselves and our posterity, do ordain and establish this Constitution for the United States of America.
Interpretation
I can't see that this needs any interpretation. It's pretty plain with maybe only one word needing a definition. Posterity:
Descendants: All of the offspring of a given progenitor; "we must secure the benefits of freedom for ourselves and our posterity"
All future generations- wordnetweb.princeton.edu/perl/webwn