Surreal decisions

Although expected utility theory has proven a fruitful and elegant theory in the finite realm, attempts to generalize it to infinite values have resulted in many paradoxes. In this paper, we argue that the use of John Conway's surreal numbers shall provide a firm mathematical foundation for transfinite decision theory. To that end, we prove a surreal representation theorem and show that our surreal decision theory respects dominance reasoning even in the case of infinite values. We then bring our theory to bear on one of the more venerable decision problems in the literature: Pascal's Wager. Analyzing the wager showcases our theory's virtues and advantages. To that end, we analyze two objections against the wager: Mixed Strategies and Many Gods. After formulating the two objections in the framework of surreal utilities and probabilities, our theory correctly predicts that (1) the pure Pascalian strategy beats all mixed strategies, and (2) what one should do in a Pascalian decision problem depends on what one's credence function is like. Our analysis therefore suggests that although Pascal's Wager is mathematically coherent, it does not deliver what it purports to, a rationally compelling argument that people should lead a religious life regardless of how confident they are in theism and its alternatives.     

Grammatical comprehension in older adults, both normal and with cognitive impairment: a comparative study based on discriminant and multidimensional scaling techniques

Memory and language tests are usually used to differentiate healthy elderly individuals and individuals with cognitive impairment (CI). In the latter case, there are usually no tests to assess grammatical comprehension. The aim of this paper is to explore the differences in grammatical comprehension between healthy older adults and older adults with CI, identifying the sentences that best discriminate these groups, as well as the underlying dimensions that are most relevant to the individuals. Participants were 71 elderly people, divided into two groups according to their performance on the Spanish version of the Mini Mental State Exam: normal and CI. All were given a comprehension test that included 12 kinds of sentence structures. The CI group performed significantly worse than healthy elderly group. The greatest differences were observed in the sentences adjusted to canonical order in Spanish. The sentences with higher weights in the discriminant function were the ones adjusted to the one-proposition canonical order. Propositional density was the most salient dimension in both groups. Individuals with CI had difficulty assigning thematic roles to constituents, even when it could be done by following a strategy based on the linear order of the roles.     

Attentional network task performance in schizophrenic patients

Several studies have researched the attentional functioning of schizophrenic patients by means of the Attentional Network Test. The present work reviews these studies and assesses the clinical relevance of their results. Both the reviewed data and our own results suggest that the Attentional Network Test does not provide a clear-cut discrimination of the attentional profile of schizophrenic patients from a clinical point of view. However, after classifying patients according to their psychotic symptoms, it became evident that positive syndrome patients are less efficient at tasks that tap the orientation network.     

Late backward effects in the refractory period paradigm: effects of Task 2 execution on Task 1 performance

The central bottleneck model assumes that in the psychological refractory paradigm, Task 1 performance is independent of Task 2 demands. Previous studies, however, have reported backward crosstalk effects of motor demands in Task 2 on Task 1 performance. These effects have been attributed to interference at the central level. The present study aimed to isolate more directly potential backward effects at the motor level. Therefore, in three experiments, movement distance in Task 2 was manipulated using a guided ballistic movement. The results showed that movement distance in Task 2 affected reaction time as well as response duration in Task 1. It is argued that the backward effect observed in this study is due to response coupling at motor rather than central levels.     

Factor structure and measurement invariance of the Wisconsin Schizotypy scales across gender and age

The Wisconsin Schizotypy Scales are among the most widely used instruments for the assessment of psychosis proneness. The main goal of the present work was to study the dimensional structure underlying the Revised Physical Anhedonia Scale (RPhA), the Revised Social Anhedonia Scale (RSAS), the Magical Ideation Scale (MIS) and the Perceptual Aberration Scale (PAS). It was also explored whether the dimensions underlying these scales were invariant across gender and age. The sample was made up of 710 university students with a mean age of 19.8 years (SD = 1.9). The results showed that the dimensional structure of the Wisconsin scales was similar to that found in previous studies, displaying a Positive dimension and a Negative dimension, the Social Anhedonia Scale being related to both dimensions. Moreover, the factor structure of the schizotypy scales was found to be invariant across participants' gender and age.     

God meets Satan’s Apple: the paradox of creation

It is now the majority view amongst philosophers and theologians that any world could have been better. This places the choice of which world to create into an especially challenging class of decision problems: those that are discontinuous in the limit. I argue that combining some weak, plausible norms governing this type of problem with a creator who has the attributes of the god of classical theism results in a paradox: no world is possible. After exploring some ways out of the paradox, I conclude that the classical theist should accept Marilyn Adams’s view that no norms (of morality or of rationality) apply to gods.