Reminisce(verb)
To recall past experiences, events, etc; to indulge in reminiscence
In ” the way we live now; 11-11-01 Lost and Found by Colson Whitehead”, the author says, “we see ourselves in this city everyday when we walk down the sidewalks and catch our reflections in the store windows, seek ourselves in this city each time we reminisce about what was there 5, 10, 40 years ago because all our old places are proof that we were here”.
Colson Whitehead is saying that because they’re old stuff is still there, they’re able to remember the stuff around town that was there years ago.