A characterization theorem for random utility variables

In this note we investigate the condition that the distribution of the maximum of a set of random variables does not depend on which variable attains the maximum. This problem arises in random utility theory. When the random variables are independent, the property implies that all the marginal distributions must be Double Exponential (with distribution function exp(?e^?x) in standard form). When dependence is allowed the property characrerizes a much broader class consisting of arbitrary functions of arbitrary homogeneous functions of the variables e^?xi, a result stated without proof in D. J. Strauss (Journal of Mathematical Psychology, 1979, 20, 35–52). These are the distributions such that the maximum has the same distribution (apart from a location shift) as the marginals, provided the marginals are the same.     

Partial isomorphisms and intuitionistic logic

A game for testing the equivalence of Kripke models with respect to finitary and infinitary intuitionistic predicate logic is introduced and applied to discuss a concept of categoricity for intuitionistic theories.     

Stimulus information and processing time in pitch perception

Summary The assumption of Massaro, that the preperceptual auditory image is processed at the same rate as the stimulus information, was tested for pitch recognition, using a recognition masking paradigm. The data clearly show that the preperceptual image is processed with a much lower rate.     

Psychologie et culture: vers une solution du “Babel”?

The current scientific debate on the relationship between psychological development and culture has been given different labels. These labels not only indicate divergent methodological approaches and heterogeneous research interests, but also represent distinct national scientific traditions. The authors suggest making a distinction between three main perspectives, namely “Cross-Cultural Psychology”, “Cultural Psychology” and “Psychologie Interculturelle”; a specific German approach called “Kulturpsychologie” is also briefly touched upon. These perspectives are described as distinct types of conceptual approaches and research strategies on the relationship between psychology and culture.     

Arithmetical Set Theory

It is well known that number theory can be interpreted in the usual set theories, e.g. ZF, NF and their extensions. The problem I posed for myself was to see if, conversely, a reasonably strong set theory could be interpreted in number theory. The reason I am interested in this problem is, simply, that number theory is more basic or more concrete than set theory, and hence a more concrete foundation for mathematics. A partial solution to the problem was accomplished by WTN in [2], where it was shown that a predicative set theory could be interpreted in a natural extension of pure number theory, PN, (i.e. classical first-order Peano Arithmetic). In this paper, we go a step further by showing that a reasonably strong fragment of predicative set theory can be interpreted in PN itself. We then make an attempt to show how to develop predicative fragments of mathematics in PN.If one wishes to know what is meant by reasonably strong and fragment please read on.     

On Agents That Have the Ability to Choose

We demonstrate ways to incorporate nondeterminism in a system designed to formalize the reasoning of agents concerning their abilities and the results of the actions that they may perform. We distinguish between two kinds of nondeterministic choice operators: one that expresses an internal choice, in which the agent decides what action to take, and one that expresses an external choice, which cannot be influenced by the agent. The presence of abilities in our system is the reason why the usual approaches towards nondeterminism cannot be used here. The semantics that we define for nondeterministic actions is based on the idea that composite actions are unravelled in the strings of atomic actions and tests that constitute them. The main notions used in defining this semantics are finite computation sequences and finite computation runs of actions. The results that we obtain meet our intuitions regarding events and abilities in the presence of nondeterminism.     

Methodology for identifying specific psychological deficits: introduction to the special section

A long-standing problem in psychopathology research is establishing that patterns of differences between groups reflects differences of underlying constructs and not artifacts of research design, measurement, or analysis. This introduction provides a context for 4 articles that consider several controversial issues regarding this problem and presents a précis. Although these articles focus on schizophrenia, it is noted how the issues are of more general relevance to psychopathology researchers.     

Tone sequences with conflicting fundamental pitch and timbre changes are heard differently by musicians and nonmusicians

An Auditory Ambiguity Test (AAT) was taken twice by nonmusicians, musical amateurs, and professional musicians. The AAT comprised different tone pairs, presented in both within-pair orders, in which overtone spectra rising in pitch were associated with missing fundamental frequencies (F0) falling in pitch, and vice versa. The F0 interval ranged from 2 to 9 semitones. The participants were instructed to decide whether the perceived pitch went up or down; no information was provided on the ambiguity of the stimuli. The majority of professionals classified the pitch changes according to F0, even at the smallest interval. By contrast, most nonmusicians classified according to the overtone spectra, except in the case of the largest interval. Amateurs ranged in between. A plausible explanation for the systematic group differences is that musical practice systematically shifted the perceptual focus from spectral toward missing-F0 pitch, although alternative explanations such as different genetic dispositions of musicians and nonmusicians cannot be ruled out. ((c) 2007 APA, all rights reserved).