Infrastructure and Transition in Developmental Analysis
1973, Research bulletin
https://doi.org/10.1002/J.2333-8504.1973.TB00835.XAbstract
The logic of set theory is applied to the problem of infrastructure and transition in developmental analysis. The analysis necessitates the decomposition of stages into components. The decomposition generates sets within sets, and from a sequential perspective, progressions within progressions. The relation of lower to higher, and precursor to successor items varies from the trivial to the rigorous. In a trivial analysis, a precursor is neither necessary nor sufficient for a successor; in a rigorous analysis, a precursor is necessary and sufficient. Infrastructure and transition are interdependent. When components are common to successive stages, stages are transformed or correlatively transformed; when components are discrete, stages are substituted, added, or deleted; and when some components are common and some discrete, stages are hybrid. Any transformation or correlative transformation implies a correspondence, integration, or differentiation with parallelism, subordination, or emergence. Any substitution, addition, or deletion implies a coincidence, augmentation, or reduction with coplanarity, expansion, or contraction. The implications of this analysis are discussed in relation to developmental theory and theory evaluation.
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