ABSTRACT

This chapter examines the construction and continuation of additives and exponential series. The elements used in the construction of these series are supplied by the experimenter, and the series can be continued with materials chosen by the subject. Subjects at the first level do not construct staircases on their own; they start out with any old figures. Once correct series are discovered these subjects recognize similarities and differences only very globally. When asked to continue the series, these subjects attempt to do so without paying heed to the baselines; they also systematically reject elements that they think are too big. The chapter examines how coordinating actions and reading off data perceptually contribute to constructing and continuing such series. To be more precise, it would like to analyze the nature of pseudo-empirical abstraction in each particular case. In sum, pseudo-empirical abstraction, in the context of these seriation problems, seems to be a particular case of reflecting abstraction.