"Big Data" has always sounded very American to me.
It reminds me of movies about immigrants coming to the USA, enticed by pictures of very big groceries growing in the fields.
More than the size of the data (it is at least thirty years that one knows how to use parallel computing to deal with big data) it is a matter of applying more and more automation, what we call Learning and Intelligent OptimizatioN (LION).
Going beyond big data? ... big intelligence? :)