We introduce a world vision in which data is endowed with memory. In this data-centric systems paradigm, data items can be enabled to retain all or some of their previous values. We call this ability remembrance and posit that it empowers significant leaps in the security, availability, and general operational dimensions of systems. With the explosion in cheap, fast memories and storage, large-scale remembrance will soon become practical. Here, we introduce and explore the advantages of such a paradigm and the challenges in making it a reality.