A continuum is a set so dense that between any two elements, another always exists. There are no gaps, no jumps, no discrete boundaries. The real number line is a continuum. A river is a continuum. A life, perhaps, is a continuum -- though we experience it as a series of discontinuous moments strung together by the illusion of memory.

The mathematics of continuity was formalized in the 19th century by Weierstrass, Cauchy, and Dedekind, who gave rigorous meaning to the intuitive idea of "no breaks." But the concept is older than mathematics. Zeno's paradoxes -- the arrow that never reaches its target -- are meditations on the continuous nature of motion and the failure of discrete steps to capture it.

In music, the continuo is the persistent harmonic foundation -- the bass line that never stops playing, over which melodies rise and fall. In physics, the space-time continuum is the fabric on which all events are plotted. In design, a continuum is a refusal to impose artificial boundaries. This page is one such refusal.