Intelligence is an umbrella term describing a property of the mind including related abilities, such as the capacities for abstract thought, reasoning, planning, problem solving, communication, and learning. Problem solving is the most promising area of these from the point-of-view of  symbolic analysis.

There is much research on what is intelligence and how to define it (see more).

J. P. Guilford is one of them. He  explored the scope of the adult intellect by providing the concept of intelligence with a strong, comprehensive theoretical backing. The Structure-of-Intellect model (SI model) was designed as a cross classification system with intersections in the model providing the basis for abilities similar to periodic table in chemistry. The three-dimensional cube—shaped model includes five content categories (the way in which information is presented on a test; visual, auditory, symbolic, semantic, and behavioral), six operation categories (what is done on a test; evaluation, convergent production, divergent production, memory retention, memory recording, and cognition), and six product categories (the form in which information is processed on a test; units, classes, relations, systems, transformations, and implications). The intersection of three categories provides a frame of reference for generating one or more new hypothetical factors of intelligence.

Mapping Guilford’s cube to Symbolic Analysis

An interesting idea is to map Guilford’s cube to symbolic analysis, the AHO objects. In the atomistic model every atom is a symbol and have a formal contents. Operations for atoms allow studying its impacts and transformations automatically (this is the AI-approach).

There is an article coming on that topic.

Some links: