Analysis of the Talmudic Argumentum A Fortiori Inference Rule (Kal Vachomer) using Matrix Abduction

We motivate and introduce a new method of abduction, Matrix Abduction, and apply it to modelling the use of non-deductive inferences in the Talmud such as Analogy and the rule of Argumentum A Fortiori. Given a matrix \({\mathbb {A}}\) with entries in {0, 1}, we allow for one or more blank squares in the matrix, say a _i,j =?. The method allows us to decide whether to declare a _i,j = 0 or a _i,j = 1 or a _i,j =? undecided. This algorithmic method is then applied to modelling several legal and practical reasoning situations including the Talmudic rule of Kal-Vachomer. We add an Appendix showing that this new rule of Matrix Abduction, arising from the Talmud, can also be applied to the analysis of paradoxes in voting and judgement aggregation. In fact we have here a general method for executing non-deductive inferences.     

The elusive link between conflict and conflict adaptation

A core tenet of the original conflict-monitoring model is that regulation is triggered automatically when conflict is present and that the same regulation mechanism explains both trial-to-trial adaptation effects as well as effects of block-wise conflict manipulations. We present here results from two experiments using the Stroop task that show (a) that adaptation effects in the absence of response repetitions may occur only at the beginning of testing and that (b) robust block-wise effects can be found even in the absence of trial-by-trial effects. Furthermore, we show that the failure to eliminate target-to-distractor repetitions can produce artificial trial-to-trial adaptation effects. Based on the evidence of a weak link between conflict and conflict adaptation, we argue that a wider range of possible reasons for conflict adaptation effects needs to be taken into consideration.     

The aftermath of 9/11: effect of intensity and recency of trauma on outcome

Does trauma exposure have a long-term impact on the brain and behavior of healthy individuals? The authors used functional magnetic resonance imaging to assess the impact of proximity to the disaster of September 11, 2001, on amygdala function in 22 healthy adults. More than three years after the terrorist attacks, bilateral amygdala activity in response to viewing fearful faces compared to calm ones was higher in people who were within 1.5 miles of the World Trade Center on 9/11, relative to those who were living more than 200 miles away (all were living in the New York metropolitan area at time of scan). This activity mediated the relationship between group status and current symptoms of posttraumatic stress disorder. In turn, the effect of group status on both amygdala activation (fearful vs. calm faces) and current symptoms was statistically explained by time since worst trauma in lifetime and intensity of worst trauma, as indicated by reported symptoms at time of the trauma. These data are consistent with a model of heightened amygdala reactivity following high-intensity trauma exposure, with relatively slow recovery.     

Decade breaks in the mental number line? Putting the tens and units back in different bins.

Most models of number recognition agree that among other number representations there is a central semantic magnitude representation which may be conceptualized as a logarithmically compressed mental number line. Whether or not this number line is decomposed into different representations for tens and units is, however, controversial. We investigated this issue in German participants in a magnitude comparison (selection) task in which the larger of two visually presented Arabic two-digit numbers had to be selected. Most importantly, we varied unit-decade-compatibility: a number pair was defined as compatible if the decade magnitude comparison and the unit magnitude comparison of the two numbers would lead to the same response (e.g. 52 and 67) and as incompatible if this was not the case (e.g. 47 and 62). While controlling for overall numerical distance, size and other variables, we consistently found compatibility effects. A control experiment showed that this compatibility effect was not due to perceptual presentation characteristics. We conclude that the idea of one single number line representation that does not additionally assume different magnitude representations for tens and units is not sufficient to account for the data. Finally, we discuss why decade effects were not found in other experimental settings.     

Prostaglandins and endogenous psychoses

The authors refer to the biochemical investigation of the occurrence and metabolism of essential fatty acids in the CNS and to significant differences in results between those obtained in animal experiments and those involving human beings, taking into account hypotheses that have not yet met with general acceptance. Discussed is the possible connection between eicosanic acid and schizophrenia, notably Horrobin's hypothesis of PGE1 deficiency in schizophrenic patients. The probability of a pathogenetic connection between changes in the metabolism of fatty acids and the occurrence of endogenous psychoses is assumed.     

Fitness for automobile driving of patients at an epilepsy outpatient care unit

Patients who were free from seizures and not in possession of a driving license were examined for reasons for their being considered unfit to drive at an outpatient care centre for epileptics catering for 477 patients. The composition of the group was analyzed in respect of age, sex, intake of pharmaceuticals, risk factors and appropriateness of behaviour in traffic. Corresponding conclusions are drawn.