Translation of Frege's 'Über Begriff und Gegenstand' (1892). Translation by Peter Geach, revised by Max Black.

Formal series are associated with ascriptions of numbers. They are ordered by formal operations that, unlike negation and disjunction, are not truth-operations. In spite of this, they are required to build propositions involving generic reference to numbers, and are essential to the Tractarian version of the logicist project.