The effect of semantics on problem solving is to reduce relational complexity

Abstract

This article reports a study carried out in order to measure how semantic factors affect reductions in the difficulty of the Chinese Ring Puzzle (CRP) that involves removing five objects according to a recursive rule. We hypothesised that semantics would guide inferences about action decision making. The study involved a comparison of problem solving for two semantic isomorphic variants of the CRP ( fish and fleas ) with problem solving for the puzzle's classic variant (the Balls and Boxes problem; Kotovsky & Simon, 1990). Our results showed that the number of moves was reduced by 47% in the fish version and by 51% in the flea version. We discuss these results in terms of semantic inferences and reductions in relational complexity. During the exploratory stage of problem solving participants discover the dependent relations between elements in the puzzle. Initially these relations are processed separately; learning involves generalising the relations within a coherent, interconnected whole that makes up the puzzle's rules. It seems that semantics make it easier for the puzzle's elements to be grouped together within coherent, meaningful wholes, which reduces relational complexity and facilitates problem solving.

Keywords:

• Chinese Rings
• Isomorphs
• Problem solving
• Relational complexity
• Semantics.