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By Mauk Mulder (auth.), B. van Rootselaar (eds.)

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TRANSFORMATION IN SI-MODEL OF GUILFORD 45 5. The formal structure of transformations In connection with our definition of transformation given in Section 2 of this paper we can best represent the informational structure that a transformation is as a function: tf tm~ tt or: tf(tm) = tt (1) where tm transformand If transformation It transformate The structure of the transformation can be described in detail if we conceive of transformand and transformate as systems, or, rather, as states of a system.

As to the figural, symbolic and semantic areas twelve out of fifteen hypothesized factors could be described by way of existing tests. Examples of CFT and NFT ("Hidden Figures") were found rather easily in the literature of intelligence tests. For many other factors -like CMT, MST, MMT, NST, NMT, EST and EMT - Guilford had to use his own research. The divergent-production transformation tests, especially DMT, occurred in a rather large number of studies, but with widely varying results, probably due to insufficiently specified task definition.

Similarly, active inclusion (;:)) means that a number of elements of the transformand set is dropped, with no new elements introduced. The fourth type of relation, disjunction, includes both the omission of some elements from the transformand set and the addition of some new elements in the transformate set. We will introduce the symbol C~ to indicate the relation of disjunction between two sets. Where transformand and transformate sets have no element in common, we speak of exclusion, denoted by the symbol I.

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