In the spirit of advancing CODATA (Constructive Open Data Algebra with Types and Approximations), I propose CONDATA: Constructive Open Named Data Algebra. This extension builds on CODATA by introducing names as a fundamental component, enabling a richer, more flexible representation of mathematical objects and relationships. While CODATA relies on finite sequences of pure data, CONDATA introduces named data elements that enhance expressiveness without the need for classical set-theoretic constructs.