Representing approximate ordering and equivalence relations

The central question considered is: given appropriate precisations of the ideas of an empirical system's approximately satisfying laws of measurement with error at most ? (for some ? ≥ 0), and of a real-valued function over its domain providing an approximate representation of its basic operations and relations with error at most δ, can it be shown that satisfaction of the laws with ‘sufficiently small’ error insures numerical representability with arbitrarily small error? Positive answers are given in the cases of ordinal and nominal measurement, together with some indications of the sizes of the errors involved. Problems of extending the theory to more complex types of measurement are discussed, some open problems and conjectures are formulated, and a relation between the ‘approximate representation’ and ‘stochastic choice model’ approaches to measurement with fallible data is established.     

Logical competence and transitive inference in young children

Five-year-old children were trained on the length relationships between the adjacent members of a five-term series of sticks. They were then tested on their abilities (1) to judge the length relationships between nonadjacent pairs of the series, and (2) to incorporate an unseen novel stick into the series through inference. Children who were trained with sticks of markedly different lengths succeeded on the first test but not the second; they apparently relied on memory for the absolute lengths of the sticks. Children in the other groups succeeded on both tests. The critical factor in inducing the use of seriation and transitivity seemed to be the elimination of alternative solutions.     

Analyzing stereotypes of women in the work force

The effects of three role stereotypes on three socialization factors are investigated in a pilot study of over 1,700 women entering male-dominated skilled labor fields. Canonical correlation is used to analyze the data as an example of an appropriate technique for investigating such two-component multivariate relationships.     

STIMULUS GENERALIZATION AND EQUIVALENCE CLASSES: A MODEL FOR NATURAL CATEGORIES

Two three-member classes were formed by training AB and BC using a conditional discrimination procedure. The A and B stimuli were nonsense syllables, and the C stimuli were sets of “short” or “long” lines. To test for equivalence, C1 or C2 was presented as a sample with A1 and A2 as comparisons. Once the class-related comparison was chosen consistently, different line lengths were substituted for the training lines in the CA tests. In general, the likelihood of choosing a given comparison was an inverse function of the difference in the length of the test line from the training line. Stimuli in an equivalence class became functionally related not only to each other but also to novel stimuli that resembled a member of the equivalence class. The combination of primary generalization and equivalence class formation, then, can serve as a model to account for the development of naturally occurring categories.     

Phonological short‐term memory and vocabulary development: further evidence on the nature of the relationship

The nature and generality of the developmental association between phonological short‐term memory and vocabulary knowledge was explored in two studies. Study 1 investigated whether the link between vocabulary and verbal memory arises from the requirement to articulate memory items at recall or from earlier processes involved in the encoding and storage of the verbal material. Four‐year‐old children were tested on immediate memory measures which required either spoken recall (nonword repetition and digit span) or recognition of a sequence of nonwords. The phonological memory–vocabulary association was found to be as strong for the serial recognition as recall‐based measures, favouring the view that it is phonological short‐term memory capacity rather than speech output skills which constrain word learning. In Study 2, the association between phonological memory skills and vocabulary knowledge was found to be strong in teenaged as well as younger children, indicating that phonological memory constraints on word learning remain significant throughout childhood. Copyright © 1999 John Wiley & Sons, Ltd.     

The Mission of Philosophy Today

The paper gives a brief characterization of philosophical problems; points up something of their significance for the culture, the social order, and our lives; indicates the methodology appropriate for the problems; and presents a view of the cultural mission of philosophy today. Philosophy attempts to bring under critical review and to correct errors in the cultural mind of our civilization, the prevailing assumptions and beliefs about our knowledge-yielding powers, the various sectors of the culture, and the basic structure of the world. It holds the cultural mind accountable to the unavoidable presuppositions of experience, thought, and action. Errors in the cultural mind can lead to distortions in the development of the culture and to social and personal pathologies. I contend that our modern Western cultural mind undermines the humanistic dimension of the culture, and ultimately the whole culture, by a restricted view of our knowledge-yielding powers and the resulting impoverished view of reality. The mission of philosophy today is to point out the errors in our cultural mind and to work for a humanistic cultural reformation.     

Infants’ and adults’ use of duration and intensity cues in the segmentation of tone patterns

Adults and 8-month-olds were presented with sequences in which every third complex tone was either longer or more intense. Segmentation was measured by comparing the detection of silent gaps inserted into three possible locations in each pattern: Silent gaps inserted at perceived segmentation boundaries are harder to detect than gaps within perceived phrases or groups. A go/no-go conditioned head-turn (hand-raising for adults) procedure was used. In Experiment 1, detection was worse for the gaps following the longer complex tones than for the gaps at the other locations, suggesting that the longer tones marked the ends of perceived groups for both infants and adults. Experiment 2 showed that an increase in intensity did not result in any systematic grouping at either age.