Mathematical preciseness and the concept of a fuzzy set
No. 204, 1979
(General mathematical concepts)
Oil on art board, 49.5 x 70 cm.
This picture, which vaguely resembles a relief map of a coastline, is in fact drawn from the idea of the fuzzy set. For the most part, classical mathematics deals with precisely formulated, clear concepts. Yet, in recent years, fuzzy or diffuse sets have become popular, especially in such subjects as geometry and topology, computation, and probability theory. At the center of this picture, shrouded in mist, is an algebraic surface with singular points of the beak type. This particular image is intended to convey some of the sensations that surround work with fuzzy sets. Based on these ideas, many nonstandard mathematical analyses have arisen, including probabilistic approaches to the proofs of certain theorems.
