Many cognitive processes lie beyond articulate, discursive thought, beyond the reach of current computational notions. This text argues that the cognitive computational conception of the world requires our thought processes to be precise, rigid, discrete and unambiguous, and yet there are dense, ambiguous, and amorphous symbol systems, such as sketching, painting and poetry, found in the arts and everyday discourse that have an important place in cognition. The author maintains that while on occasion our thoughts do conform to the current computational theory of mind, they often are - indeed must be - vague, fluid, ambiguous and amorphous. He argues that if cognitive science takes the classical computational story seriously, it must deny or ignore these processes, or at least relegate them to the realm of the non-mental. Goel introduces design problem solving as a domain of cognition that illustrates these inarticulate, non-discursive thought processes at work through the symbol system of sketching. He argues not that such thoughts must remain non-computational but that our current notions of computation and representation are not rich enough to capture them.
Along the way, Goel makes a number of significant and controversial interim points. He shows: that there is a principled distinction between design and non-design problems; that there are standard stages in the solution of design problems; that these stages correlate with the use of different types of external symbol systems; that these symbol systems are usefully individuated in Nelson Goodman's syntactic and semantic terms; and that different cognitive processes are facilitated by different types of symbol systems.
Vinod Goel is a Professor in the Department of Psychology at York University, Canada.