[talaketu]

This points to the dual view of a relation - intensional vs extensional. The beauty of the relational model of data is the morphism: by evaluating relational operations on the extensional model (data) we gain can answer questions corresponding to intensional model (concept).

For example given the extensional data ALBUM(TITLE, ARTIST) corresponding to the intention "the albums, each with a title and artist", we can compute "the eponymous albums, each with a title" via EPONYMOUS_ALBUM = ALBUM where (TITLE = ARTIST)

We started with some data for a relation corresponding with a concept, and were able to operate on the data to produce a new relation - data corresponding to a new concept.