HOW PROTHETIC IS THE CONTINUUM OF SMELL?: A further comment on the relation between magnitude and category scales

The relation K =αlog( ψ + q / k ) +β between category scale K and magnitude scale ψ found in previous experiments on loudness and softness of white noise was confirmed for smell data, too. The small increase in variability (SDs) of judgments with magnitude for smell as compared with loudness and softness suggests the substitution of the prothetic-metathetic dichotomy with a quantifiable feature, protheticness, with metathetic continua as the limiting case.     

ON THE PROBLEM OF CATEGORY SCALES IN PSYCHOPHYSICS

E isler , H. On the problem of category scales in psychophysics. Scand. J. Psychol ., 1962, 3 , 81–87.—In the first Part of the paper it is shown that, if three assumptions are granted, the category scale must be logarithmically related to the magnitude scale: K =α log φ +β . In the second part of the paper, the relation K =α log ( kφ+ q) +β is derived, starting from the assumptions that the category scale is a pure function of discrimination and that discrimination is appropriately described by the linear generalization of Weber's law for prothetic continua. We can reconcile these two formulas by defining the zero-point of the magnitude scale as the point where variability vanishes.     

SIMILARITY IN THE CONTINUUM OF HEAVINESS WITH SOME METHODOLOGICAL AND THEORETICAL CONSIDERATIONS

An experiment in which the subjects estimated (a) the ratio and (b) the similarity of pairs of stimuli, consisting of weights, is reported. The report reveals that the relation obtained in earlier investigations between estimated similarity and the two subjective magnitudes of the pair, holds good for the continuum of heaviness too. In connection with this the intraindividual standard deviation of ratio estimates and the problem of internal consistency of a ratio matrix are treated. In a speculative discussion the concept of similarity is scrutinized, the similarity function is tentatively extended to multi-dimensional cases and an attempt is made to connect similarity and discrimination learning.     

Grading the ‘cultural literacy’ project

The essay examines the argument advanced by E.D. Hirsch, Jr., for instituting ‘cultural literacy’ as a fundamental priority of schools. A number of confusions and equivocations in Hirsch's reasoning are identified, and the propensity of his project to indoctrinate is exposed. Among the features of Hirsch's argument shown to be troubling are his shifting construal of ‘language’, his inconsistency about the requirements of cultural literacy, and his uncritical relation to traditional images of the American past and present. The upshot is to raise the question why Hirsch's project has elicited wide support and praise.     

Referenzsemantik in der Partnermodellierung

How can we explain that an assertion on something perceived can be understood in the same manner by somebody who cannot perceive that scene? This problem bases the interest in computational linguistics in how listener modeling could possibly be harmonized with reference semantics. Mental images substituting real perception appear as a way out. The architecture of the listener model has to be adapted to the creation and use of such pictorial data structures. Furthermore, the relation between the latter and a verbal (i. e., propositional) representation must be understood. The resulting architecture of a listener model with reference semantics can be employed to solve communicational problems from three general classes in a better way, as is demonstrated by an example implementation.     

The general psychophysical differential equation: A comparison of three specifications

The general psychophysical differential equation, dy/dx = W₂(y)/W₁(x), with the solution y = f(x), where x and y are subjective variables and W₁ and W₂ their subjective Weber functions, is (a) compared with a corresponding functional equation, and (b) studied from a stochastic point of view by error calculus, Methods for evaluating and handling divergences are proposed and illustrated for a number of combinations of Weber functions. It is shown that either the differential: and the functional equations have the same solution or the difference between the solutions is negligible compared to empirical scatter. The error calculus gives the same result: either no error at all or a negligible one.