Geometry for an Architecture of the Mind

Abstract

Zanis Waldheims (1909–1993) devised a system of geometric abstraction to create units of meaning that together form an architecture of the mind. His geometrization of think­ing is grounded in five geometric shapes that function as signifiers, encoding words and their conceptual meanings. Units of meaning emerge through the convergence and syn­thesis of opposing or complementary concepts, which are unified in a central thematic meaning represented by a third geometric shape. Waldheims assembled these triadic combinations as building blocks of a two-dimensional map designed to orient thought. The sample unit of meaning – Art + Science = Knowledge – represents one of many such building blocks for mutual understanding. Drawing on both Euclidean and non-Euclid­ean geometries, he developed the flexibility required to construct the Noosphere: an architectural model of the mind, its thinking processes, and the evolution of conscious­ness. When first conceived in the late 1950s, Waldheims intended this geometrization of thought as the basis of a cybernetic system , that can retrospectively be read as antic­ipating aspects of contemporary artificial intelligence. The project quickly evolved into a distinctive art form. He claimed that for such a system to genuinely benefit society, it must rest on firm foundations in ethics and aesthetics. To this day, his art challenges viewers to move beyond the limits of personal perspective and to explore geometric pathways through the dilemmas generated by disinformation.