Matrices with a given number of violations of Regular Minimality

A row (or column) of an n×n matrix complies with Regular Minimality (RM) if it has a unique minimum entry which is also a unique minimum entry in its column (respectively, row). The number of violations of RM in a matrix is defined as the number of rows (equivalently, columns) that do not comply with RM. We derive a formula for the proportion of n×n matrices with a given number of violations of RM among all n×n matrices with no tied entries. The proportion of matrices with no more than a given number of violations can be treated as the p-value of a permutation test whose null hypothesis states that all permutations of the entries of a matrix without ties are equiprobable, and the alternative hypothesis states that RM violations occur with lower probability than predicted by the null hypothesis. A matrix with ties is treated as being represented by all matrices without ties that have the same set of strict inequalities among their entries.     

Retroactive adjustment of perceived time

Accurately timing acoustic events in dynamic scenes is fundamental to scene analysis. To detect events in busy scenes, listeners must often identify a change in the pattern of ongoing fluctuation, resulting in many ubiquitous events being detected later than when they occurred. This raises the question of how delayed detection time affects the manner in which such events are perceived relative to other events in the environment.To model these situations, we use sequences of tone-pips with a time–frequency pattern that changes from regular to random (‘REG–RAND’) or vice versa (‘RAND–REG’). REG–RAND transitions are detected rapidly, but the emergence of regularity cannot be established immediately, and thus RAND–REG transitions take significantly longer to detect. Using a temporal order judgment task, and a light-flash as a temporal marker, we demonstrate that listeners do not perceive the onset of RAND–REG transitions at the point of detection (∼530 ms post transition), but automatically re-adjust their estimate ∼300 ms closer to the nominal transition.These results demonstrate that the auditory system possesses mechanisms that survey the proximal history of an ongoing stimulus and automatically adjust perception to compensate for prolonged detection time, allowing listeners to build meaningful representations of the environment.     

Birth order differences in normal personality traits: Perspectives from within and outside the family

The hypotheses of Sulloway (1996) regarding birth order differences in five-factor model personality traits were tested in a sample of 231 college students with the NEO Five-Factor Inventory (NEO-FFI; Costa & McCrae, 1992). Data were collected from three sources (self, peer, and parent) to systematically evaluate previous observations that birth order differences are more commonly found when ratings are obtained from family members than from observers outside the family (Ernst & Angst, 1983). Using a between-family design, students were selected only from families with two or three full biological siblings and no half-siblings, step-siblings, or adopted siblings. Firstborn (n = 103) and laterborn (n = 128) students were compared using NEO-FFI ratings by the self, by a same-sex college peer, and by a biological parent. No birth order differences were found for any of the five NEO-FFI scores using any of the three rating sources. Effect sizes (Cohen’s d) were less than .20 for all comparisons. Suggestions for new approaches to the study of birth order differences are considered, including the use of within-family designs and more contextualized personality variables.     

Prominence vs. aboutness in sequencing: A functional distinction within the left inferior frontal gyrus

Prior research on the neural bases of syntactic comprehension suggests that activation in the left inferior frontal gyrus (lIFG) correlates with the processing of word order variations. However, there are inconsistencies with respect to the specific subregion within the IFG that is implicated by these findings: the pars opercularis or the pars triangularis. Here, we examined the hypothesis that the dissociation between pars opercularis and pars triangularis activation may reflect functional differences between clause-medial and clause-initial word order permutations, respectively. To this end, we directly compared clause-medial and clause-initial object-before-subject orders in German in a within-participants, event-related fMRI design. Our results showed increased activation for object-initial sentences in a bilateral network of frontal, temporal and subcortical regions. Within the lIFG, posterior and inferior subregions showed only a main effect of word order, whereas more anterior and superior subregions showed effects of word order and sentence type, with higher activation for sentences with an argument in the clause-initial position. These findings are interpreted as evidence for a functional gradation of sequence processing within the left IFG: posterior subportions correlate with argument prominence-based (local) aspects of sequencing, while anterior subportions correlate with aboutness-based aspects of sequencing, which are crucial in linking the current sentence to the wider discourse. This proposal appears compatible with more general hypotheses about information processing gradients in prefrontal cortex (Koechlin & Summerfield, 2007).     

Second order change and evidence‐based practice

Since its inception, family therapy (FT) has been distinguished by its explicit theoretical and practical focus on families and relationships as systems, with an emphasis on second order rather than first order change. As a result of these conceptual underpinnings we suggest that FT needs to look for manifestations of change which differ from individually focused disciplines such as clinical psychology. Studies of second order change have most commonly appeared in the form of conceptual papers and doctoral dissertations. We begin by revisiting the conceptual underpinnings of second order change. Building on this framework, we develop these aspects of change within the framework of recent developments in the empirical study of change. Finally, we point towards some promising directions for further evaluative work of FT as well as ways to incorporate some of these principles into training of FT students.     

Individual differences in (non-visual) processing style predict the face inversion effect

Recent research suggests that individuals with relatively weak global precedence (i.e., a smaller propensity to view visual stimuli in a configural manner) show a reduced face inversion effect (FIE). Coupled with such findings, a number of recent studies have demonstrated links between an advantage for feature-based processing and the presentation of traits associated with autism among the general population. The present study sought to bridge these findings by investigating whether a relationship exists between the possession of autism-associated traits (i.e., as indicated by individuals'"autism quotient" [(AQ) and the size of the FIE. Participants completed an on-line study in which the AQ was measured prior to a standard face recognition task where half of the faces were inverted at test. The results confirmed that higher AQ levels were predictive of smaller FIEs. Implications for a common underlying factor relating to processing orientation are discussed.     

A Bayesian Model of Biases in Artificial Language Learning: The Case of a Word‐Order Universal

In this article, we develop a hierarchical Bayesian model of learning in a general type of artificial language‐learning experiment in which learners are exposed to a mixture of grammars representing the variation present in real learners’ input, particularly at times of language change. The modeling goal is to formalize and quantify hypothesized learning biases. The test case is an experiment ( Culbertson, Smolensky, & Legendre, 2012 ) targeting the learning of word‐order patterns in the nominal domain. The model identifies internal biases of the experimental participants, providing evidence that learners impose (possibly arbitrary) properties on the grammars they learn, potentially resulting in the cross‐linguistic regularities known as typological universals. Learners exposed to mixtures of artificial grammars tended to shift those mixtures in certain ways rather than others; the model reveals how learners’ inferences are systematically affected by specific prior biases. These biases are in line with a typological generalization—Greenberg's Universal 18—which bans a particular word‐order pattern relating nouns, adjectives, and numerals.     

If you have a choice,you have trouble: Stimulus valence modulates presentation‐order effects in preference judgment

It is well known that the presentation order of choice options often affects decision outcomes to a significant degree. However, despite the significance and wide occurrence of the effects, they are ignored in most preference models. Furthermore, psychophysical findings of stimulus‐magnitude dependent presentation‐order effects have not been acknowledged previously in the cognitive literature on preference judgments. Thus, the potential moderating effect of the level of stimulus magnitude (here, valence) on the direction and size of order effects in preference judgment has not been investigated previously. In two experiments, participants (117 and 204, respectively) rated their preference for pairs of everyday‐type objects and phenomena (e.g., apple–pear, headache–stomachache). Stimuli were spaced horizontally, and each participant received them in one of two opposite within‐pair presentation orders. Participants also rated the stimuli's valence on a scale from very bad to very good. The results showed a positive correlation between the rated valence and the tendency to prefer the first‐mentioned (left) stimulus; that is, the effect was greatest, and opposite, for choices between the most attractive and the most unattractive options, respectively. In terms of Hellström's ( 1979 ) sensation‐weighting model, the positive correlation is caused by a higher weight (i.e., impact on the preference judgment) for the left stimulus than for the right, which is possibly due to the left stimulus being compared to the right. The results suggest that researchers may have failed previously to find important moderators of presentation‐order effects in preference judgment due to the failure to use sufficiently attractive or unattractive stimuli. Copyright © 2010 John Wiley & Sons, Ltd.     

Biased extensive measurement: The general case

We develop a theory of biased extensive measurement which allows us to prove the existence of a ratio-scale without transitivity of indifference and with a property of homothetic invariance weaker than independence. These representations, which cover the cases of interval orders and of semiorders, reveal a unique biasing function smaller or equal to 1 that distorts extensive measurement and explains departures from its standard axioms. We interpret this biasing function as characterizing the qualitative influence of the underlying measurement process and we show that it induces a proportional indifference threshold.     

PROBLEMS BETWEEN SCIENCE AND THEOLOGY IN THE COURSE OF THEIR MODERN HISTORY

Abstract. It is misleading to speak of warfare between science and Christian theology, as Andrew White did in 1896. White also was mistaken in exaggerating the conflict between the church and Galileo and Copernicus. The more important issue between science and theology has to do with the mechanistic interpretation of nature. When he introduced the principle of inertia in his natural philosophy, René Descartes insisted that God's immutability renders it impossible for God to intervene in the creation. He reduced the idea of God to a deistic notion by speaking of motion exclusively as a property of bodies. Even though Isaac Newton offered a different view, the Cartesian view dominated subsequent thinking. This made dialogue with theology difficult. Michael Faraday, followed by Albert Einstein, introduced the idea of field; bodily phenomena were subordinated as manifestations of fields. The precursor of the idea of field is the Stoic idea of spirit, which is close to the biblical concept of spirit. Thomas Torrance and I have taken this concept of field as an occasion to reopen dialogue. Mechanistic thinking accounts for the tension between Darwinian thought and theology. In principle the tension can be resolved, because the Bible itself asserts that all living things were brought from the earth—that is, organic life emerged from inorganic matter. Thus, emergence, contingency, and novelty are consistent with Darwinian evolutionary thinking. Contingency can be related conceptually to the activity of God in creation.