Generalized Logical Consequence: Making Room for Induction in the Logic of Science

We present a framework that provides a logic for science by generalizing the notion of logical (Tarskian) consequence. This framework will introduce hierarchies of logical consequences, the first level of each of which is identified with deduction. We argue for identification of the second level of the hierarchies with inductive inference. The notion of induction presented here has some resonance with Popper's notion of scientific discovery by refutation. Our framework rests on the assumption of a restricted class of structures in contrast to the permissibility of classical first-order logic. We make a distinction between deductive and inductive inference via the notions of compactness and weak compactness. Connections with the arithmetical hierarchy and formal learning theory are explored. For the latter, we argue against the identification of inductive inference with the notion of learnable in the limit. Several results highlighting desirable properties of these hierarchies of generalized logical consequence are also presented.     

Category coherence and category-based property induction

One important property of human object categories is that they define the sets of exemplars to which newly observed properties are generalized. We manipulated the causal knowledge associated with novel categories and assessed the resulting strength of property inductions. We found that the theoretical coherence afforded to a category by inter-feature causal relationships strengthened inductive projections. However, this effect depended on the degree to which the exemplar with the to-be-projected predicate manifested or satisfied its category's causal laws. That is, the coherence that supports inductive generalizations is a property of individual category members rather than categories. Moreover, we found that an exemplar's coherence was mediated by its degree of category membership. These results were obtained across a variety of causal network topologies and kinds of categories, including biological kinds, non-living natural kinds, and artifacts.     

Adult attachment and Mindfulness: Examining directionality,causality, and theoretical implications

We present two studies that together provide preliminary evidence to challenge the view that the relationship between adult attachment and mindfulness is bi-directional (Study 1: repeated measures design and Study 2: a repeated measures study examining the efficacy of attachment security priming and a mindfulness induction). Adult attachment anxiety emerged as a significant predictor of some facets of mindfulness, over time, but the reverse was not true. Priming attachment security increased state mindfulness of mind to a greater degree than a mindfulness induction or control. These findings challenge previous research suggesting that the relationship between adult attachment and mindfulness is bi-directional, suggesting that attachment orientation plays a causal role in the development of mindfulness.     

Assessing the effectiveness of drawing an autobiographical memory as a mood induction procedure in children

The objective of our study was to examine the effectiveness of a new version of the autobiographical recall procedure (i.e., drawing a happy personal event) in eliciting a positive mood in 6-, 8-, and 10-year-old children and to compare the drawing condition to the more classical telling condition. The mood of children was assessed before and after induction using the Self-Assessment Manikin (SAM) and across the two emotional dimensions of valence and arousal. The results showed that the drawing condition was as effective as the telling condition for inducing a positive mood. Furthermore, in the drawing condition, children reported feeling calmer than in the telling condition, suggesting that drawing was more likely to help children regulate their emotional state. The drawing procedure could be used in future research aiming to induce positive moods in school-aged children, to help further investigate the relationship between cognition and emotion.     

Attentional biases for threat after fear-related autobiographical recall

Background : Previous studies suggested that affective state could enhance stimulus salience and modulate attention allocation for mood-congruent information, but contrasting data have been reported on the effects of mood induction on attentional biases for threat (ABTs) in non-clinical individuals.

Objective : We aimed to assess whether laboratory-induced negative mood can increase individuals’ tendency to allocate attention on threatening stimuli, thus determining a difficulty in attentional disengagement from threat. We also aimed at assessing whether level of trait anxiety could modulate the effect of mood induction on attentional biases.

Methods : We used an autobiographical episode recall procedure for mood induction (fear, happiness and neutral episode recall), and an exogenous cueing task with threatening and non-threatening images to assess attentional biases in 120 undergraduate students.

Results: Participants showed a significant difficulty in disengaging attention from threat after recalling fear-related episodes, independently from their trait anxiety level.

Conclusions: These findings clarify that the ABTs are not exclusive to anxiety disorders or high trait anxiety individuals, and could also arise in non-clinical individuals in a fearful context.     

Mood effects on attentional control: a preregistered replication study and critical analysis

In a widely cited paper, Jefferies et al. (2008) report a study in which they manipulated participants’ mood and examined the effects of this manipulation on their performance on the Attentional Blink task. Their results revealed an interaction between emotional valence and arousal: attentional control of participants who experienced a negative mood with low arousal (i.e. sadness) was best, whereas it was worst for participants who experienced a negative mood with high arousal (i.e. anxiety). Performance for participants who were in a positive mood, either with low arousal (i.e. calmness) or high arousal (i.e. happiness) had intermediate scores. In this study, I examined the replicability of this effect and performed additional analyses to investigate the extent to which this effect is due to perceptual or attentional processes and to examine the role of distraction on AB performance. Importantly, the results showed that the crucial interaction between emotional valence and arousal did not reach significance. This could be due a diversity of factors that are addressed in the discussion.     

Promoting Honesty: The Influence of Stories on Children's Lie‐Telling Behaviours and Moral Understanding

Moral stories are a means of communicating the consequences of our actions and emphasizing virtuous behaviour, such as honesty. However, the effect of these stories on children's lie‐telling has yet to be thoroughly explored. The current study investigated the influence of moral stories on children's willingness to lie for another individual. Children were read one of three stories prior to being questioned about an accidental wrongdoing: (1) a positive story, which emphasized the benefits of being honest; (2) a negative story, which outlined the potential costs of lying; and (3) a neutral story, which was unrelated to truth‐telling or lie‐telling. Initially, most children withheld information about the event. Older children were better able to maintain their lies throughout the interview. However, when asked direct questions, children in the positive story condition were more likely to tell the truth than those in the negative and neutral conditions. No significant differences were found between the negative and neutral story conditions. The present study also investigated the relationship between children's conceptual understanding and behaviour. The findings revealed that children's knowledge of truths and lies increased with age. Children who lied had significantly higher conceptual scores than those who did not lie. Furthermore, the type of story children were read had a significant impact on their evaluations of true and false statements. Copyright © 2015 John Wiley & Sons, Ltd.     

Sufficiency and Necessity Assumptions in Causal Structure Induction

Research on human causal induction has shown that people have general prior assumptions about causal strength and about how causes interact with the background. We propose that these prior assumptions about the parameters of causal systems do not only manifest themselves in estimations of causal strength or the selection of causes but also when deciding between alternative causal structures. In three experiments, we requested subjects to choose which of two observable variables was the cause and which the effect. We found strong evidence that learners have interindividually variable but intraindividually stable priors about causal parameters that express a preference for causal determinism (sufficiency or necessity; Experiment 1). These priors predict which structure subjects preferentially select. The priors can be manipulated experimentally (Experiment 2) and appear to be domain‐general (Experiment 3). Heuristic strategies of structure induction are suggested that can be viewed as simplified implementations of the priors.     

Sensitivity,Induction, and Miracles

Sosa, Pritchard, and Vogel have all argued that there are cases in which one knows something inductively but does not believe it sensitively, and that sensitivity therefore cannot be necessary for knowledge. I defend sensitivity by showing that inductive knowledge is sensitive.     

Adaptive non-interventional heuristics for covariation detection in causal induction: model comparison and rational analysis

In this article, 41 models of covariation detection from 2 × 2 contingency tables were evaluated against past data in the literature and against data from new experiments. A new model was also included based on a limiting case of the normative phi-coefficient under an extreme rarity assumption, which has been shown to be an important factor in covariation detection (McKenzie & Mikkelsen, 2007) and data selection (Hattori, 2002; Oaksford & Chater, 1994, 2003). The results were supportive of the new model. To investigate its explanatory adequacy, a rational analysis using two computer simulations was conducted. These simulations revealed the environmental conditions and the memory restrictions under which the new model best approximates the normative model of covariation detection in these tasks. They thus demonstrated the adaptive rationality of the new model.