Initially Brouwer held without qualification that the continuum is not constructible from discrete points, but was later to modify this doctrine. In his mature thought, he radically transformed the concept of point, endowing points with sufficient fluidity to enable them to serve as generators of a “true” continuum. This fluidity was achieved by admitting as “points”, not only fully defined discrete numbers such as \(\sqrt{2},\) \(\pi,\) \(e,\) and the like—which have, so to speak, already achie