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Introduction

Original Theory

The concept of fluid (gf) and crystallized (gc) intelligence was originally developed by Cattell and Horn (for example, Cattell, 1987, 1998; Horn, 1988). Horn (1988: 660) gives the following description of gf: ‘The gf abilities are indicative of skills of perceiving relationships among stimulus patterns, drawing inferences from relationships and comprehending implications. The factor is a fallible indicator of reasoning of several kinds, abstracting, and problem solving, when these qualities are acquired outside the acculturational process …’ Horn (1988: 658) also provides a description of gc: ‘The measured factor is a fallible indicator of the extent to which an individual has incorporated, through systematic influences of acculturation, the knowledge and sophistication that can be referred to as the intelligence of a culture.’

Ability Structure

gf and gc are usually conceived as second-order or second-stratum factors in hierarchical factor analysis (cf. Cattell, 1987). ‘Historical’ gf(h) forms the third-stratum factor at the top of the hierarchy, while primaries corresponding to Thurstone's primary mental abilities are located at the bottom of the hierarchy. gf and gc are further embedded in a broader theoretical framework comprising second-order factors for visualization, fluency, and cognitive speed, and so-called provincial factors located between the primary and secondary level, which cannot be directly demonstrated through factor analysis (Cattell, 1987, 1998).

Dynamic Aspects

It is assumed that there is initially (perhaps two or three years after maturational shaping from birth) a single relation-perceiving ability. This ability is not tied to any specific habits or sensory, motor, or memory area, and is therefore termed ‘fluid’ intelligence, gf (Cattell, 1987). Complex abilities representing gc (reading, arithmetic, and abstract reasoning) are subsequently acquired through learning and thus through the investment of gf. gf has been found to increase in early life, reaching a peak at around 18–20 years, and then to slowly decrease. In contrast, gc has been found to increase up to the age of 60 years.

Further Developments

Several models of intelligence integrate aspects of gf and gc. Gustafsson (1984) proposed a model including gf and gc as second-order factors, where gf was identical to general intelligence. Ackerman (1996) presented an integrative theory of adult intellectual development, focusing on intelligence-as-process representing gf-type abilities, and intelligence-as-knowledge representing gc-type abilities. Baltes et al. (1998) integrated gf and gc in the developmental concept of the mechanics (close to gf) and pragmatics (close to gc) of intelligence. In Woodcock (1998), gf represents high complexity information processing, whereas gc is a component of declarative and procedural knowledge. Important evidence for gf and gc was presented in Carroll's (1993) monumental review and analysis in the domain of human abilities. The model comprises gf and gc, but the structure presented by Carroll differs from that presented in Cattell (1987, 1998) in that visual and auditory perception occur as second-order factors like gf and gc and not as provincial factors. Apart from the integrative models of intelligence listed above, a great deal of research has related gf and gc to very different theoretical approaches. gf has been related to cognitive correlates, for example, by Kyllonen and Christal (1990), who found a strong relationship between reasoning measures, which they also consider to be measures of gf, and working memory. Correlations between processing speed and gf have been interpreted within the mental speed framework (for example, Rabbitt, 1996).

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