With the brave new world of big data, of which Linked Data is a part of, one of the top issues mentioned by any analyst, researcher, and data consumer is a concern about the quality of data. In part, this concern arises because the new sources and types of data might indeed have poorer quality, but another cause of this perception is that it has become increasingly difficult to understand, measure, and control this data and thus its quality: Data comes no longer exclusively from inside an organization, where its creation, management and analysis is well understood, but from outside sources, be it sensor data, web data, scientific data, and Linked Data from public sources. In this talk I want to highlight the achievements (and failures) of data quality research in the past, examine why data quality considerations are more important than ever when creating, managing, and using Linked Data, and show how the computer science community can contribute to the goal of creating a useful and relevant Web of Linked Open Data.