The Role of Negation in Conditional Inference

This paper addresses the issue of how negative components affect people's ability to draw conditional inferences. The study was motivated by an attempt to resolve a difficulty for the mental models theory of Johnson-Laird and Byrne, whose account of matching bias in the selection task is apparently inconsistent with Johnson-Laird's explanation of the double negation effects in conditional inference reported by Evans, Clibbens, and Rood (1995). Two experiments are reported, which investigate frequencies of conditional inferences with task presentation similar to that of the selection task in two respects: the presence of a picture of four cards and the use of implicit negations in the premises. The latter variable was shown to be critical and demonstrated a new phenomenon: Conditional inferences of all kinds are substantially suppressed when based on implicitly negative premises. This phenomenon was shown to operate independently of and in addition to the double negation effect. A third experiment showed that the implicit negation effect could be extended to the paradigm in which people are asked to produce their own conclusions. It is argued that these two effects can be explained within either the mental models theory or the inference rule theory, of propositional reasoning, but that each will require some revision in order to offer a convincing account.     

Bias in Conditional Inference: Implications for Mental Models and Mental Logic

Three experiments are reported in which subjects are given the opportunity to make any of the four inferences associated with conditional statements: modus ponens (MP), denial of the antecedent (DA), affirmation of the consequent (AC), and modus tollens (MT). The primary purpose of the research was to establish the generality and robustness of polarity biases that may be occasioned by systematic rotation of negative components in the conditional rules. In Experiments 1 & 2, three forms of conditionals were used: “if (not) p then (not) q”, “(not) p only if (not) q” and “(not) q if (not) p”. Experiment 1 used a conclusion evaluation task, whereas Experiment 2 used a conclusion production task. In Experiment 3, thematic conditionals were presented with and without a preceding scenario.

The biases investigated were (a) affirmative premise bias—the tendency to draw more inferences from affirmative premises and (b) negative conclusion bias—the tendency to draw more inferences with negative conclusions. The suggestive evidence for affirmative premise bias in the literature was not supported: very little evidence was found for it in the current experiments. Robust findings of negative conclusion bias were, however, found across the three experiments, although the bias was mostly restricted to DA and MT inferences. This suggests that the bias is best regarded as a difficulty with double negation.

The results are discussed with respect to both the mental logic and mental model accounts of propositional reasoning. Neither theory as currently formulated can explain all of our findings, although a plausible revision of each is considered.     

Matching bias and set sizes: A discussion of Yama (2001)

Yama (2001) has presented an ingenious series of experiments in which he attempts to separate two accounts in the literature of the cause of “matching bias” in conditional reasoning. One account is that the bias arises from the way in which people process negations and the other is that it is due to the larger set sizes associated with negative propositions, rather than negation per se. Yama's experiments show influences of both negation and set size, from which he concludes that both factors contribute to the matching bias that is normally observed. In this note, it is argued that this conclusion is at odds with other findings in the literature, particularly those investigating implicit negation as the cause of the bias. Introducing explicit negations has been shown to remove matching bias completely and not partially, as Yama's account must predict. A possible reconciliation is proposed in terms of subtle contextual differences introduced by Yama's experiments.     

The Bias of Crowds: How Implicit Bias Bridges Personal and Systemic Prejudice

As public awareness of implicit bias has grown in recent years, studies have raised important new questions about the nature of implicit bias effects. First, implicit biases are widespread and robust on average, yet are unstable across a few weeks. Second, young children display implicit biases indistinguishable from those of adults, which suggests to many that implicit biases are learned early. Yet, if implicit biases are unstable over weeks, how can they be stable for decades? Third, meta-analyses suggest that individual differences in implicit bias are associated weakly, although significantly, with individual differences in behavioral outcomes. Yet, studies of aggregate levels of implicit bias (i.e., countries, states, counties) are strongly associated with aggregate levels of disparities and discrimination. These puzzles are difficult to reconcile with traditional views, which treat implicit bias as an early-learned attitude that drives discrimination among individuals who are high in bias. We propose an alternative view of implicit bias, rooted in concept accessibility. Concept accessibility can, in principle, vary both chronically and situationally. The empirical evidence, however, suggests that most of the systematic variance in implicit bias is situational. Akin to the “wisdom of crowds” effect, implicit bias may emerge as the aggregate effect of individual fluctuations in concept accessibility that are ephemeral and context-dependent. This bias of crowds theory treats implicit bias tests as measures of situations more than persons. We show how the theory can resolve the puzzles posed and generate new insights into how and why implicit bias propagates inequalities.     

超重女性对食物信息加工的注意偏向和记忆偏向

采用与食物图片相关的点探测任务和学习—再认范式考察超重女性对不同热量食物信息的注意偏向和记忆偏向。结果发现：(1) 超重女性对高热量食物信息存在注意警觉—注意脱离困难模式,对低热量食物信息仅表现为注意回避模式。(2) 超重组女性对高热量食物信息的再认正确率显著高于正常体重组,而对低热量食物信息的再认成绩组间差异不显著。研究结果证实了超重女性对高热量食物信息投入更多的认知资源,存在注意偏向和记忆偏向。     

Investigating the link between validation seeking and lay dispositionism

In this study, the authors investigated the relationship between validation seeking (VS; Dykman, 1998) and lay dispositionism, the use of personality traits as the basis for social inference (Chiu, Hong, & Dweck, 1997). Specifically, the authors sought to empirically address three questions: (a) Does VS predict the tendency to make dispositional inferences and, if so, do social comparison tendencies mediate this relationship? (b) Does VS mediate the association between implicit person theories and lay dispositionism? and (c) Does contingent parental regard indirectly predict lay dispositionism via its effects on VS and/or implicit person theories? Results suggest that both VS and entity person theories facilitate lay dispositionism, yet do so via distinct processes. Both processes are driven at least partly by contingent parental regard; however, their effects on lay dispositionism differ in scope and in the extent to which they entail social comparison.     

Pre-service teachers’ implicit and explicit attitudes toward obesity influence their judgments of students

Obese children experience disadvantages in school and discrimination from their teachers. Teachers’ implicit and explicit attitudes have been identified as contributing to these disadvantages. Drawing on dual process models, we investigated the nature of pre-service teachers’ implicit and explicit attitudes, their motivation to respond without prejudice, and how attitudes influence their judgments of an obese student. Results showed that implicit anti-obesity bias might stem from an implicit positivity toward thinness rather than from an implicit negativity toward obesity. Explicit attitudes were mixed: positive attitudes toward achievement, a dislike of obese persons, and neutral attitudes concerning blame and health responsibility emerged. Implicit and explicit attitudes affected judgments of language proficiency and intelligence: pre-service teachers with more positive attitudes judged the obese student more favorably. The results of multiple regression analyses suggest that attitudes might exert a greater influence when pre-service teachers must draw inferences to derive the judgment.     

Effects of inversion and negation on social inferences from faces

Judgments about personality and other social characteristics based on facial appearance are remarkably consistent across individuals. However, whereas the facial cues that underpin age and sex judgments are already well understood, the physical bases for judgments of characteristics such as intelligence or trustworthiness are still unknown. Inversion and photographic negation are used here to investigate the visual processes underlying social inferences from the face and to explore whether various judgments might rely on different perceptual representations. In experiment 1, the perceptions of age, sex, attractiveness, approachability, intelligence, and trustworthiness, but not distinctiveness, were affected by inversion, and all these characteristics were affected by negation. The effects of inversion and negation were independent, suggesting that they impaired the encoding of different types of information. Moreover, an independent manipulation of hue and luminance in experiment 2 showed that the effects of negation were mainly due to the reversal of luminance values. These results are consistent with the view that information about the configuration of features (the processing of which is impaired by inversion) and information about surface properties (the processing of which is impaired by brightness negation) are both used in the perception of social characteristics from faces. In addition, the fact that there was a similar pattern of impairment across most judgments suggests that there is an initial common perceptual representation of the face, from which most characteristics are inferred.     

Why are negative behaviours likely to be immediately invoked traits? The effects of valence and frequency on spontaneous trait inferences

People make trait inferences immediately when observing others’ behaviours. Previous studies reported that this spontaneous trait inference (STI) occurs more strongly from negative behaviours than from positive behaviours. However, what is responsible for this negativity bias in STI is unclear. In this study, two experiments investigated the effects of valence (an event's affective positivity or negativity) and frequency (how frequently the behaviour is observed in everyday life) on the occurrence of STI using an adapted version of a savings‐in‐relearning paradigm. Experiment 1 revealed that only valence affected the frequent occurrence of STI. In addition, the instructions to suppress impression formation or to focus attention on an actor's face made no difference to the results. In Experiment 2, the negativity bias in STIs was shown a week after exposure to the behavioural stimuli. These results suggest that the negativity bias in STIs occurs robustly, and the negative valence of observed behaviour is mostly responsible for the negativity bias in STI. The importance of immediate categorization of negative stimuli is discussed in terms of ecological priority.     

Word for word: Multiple lexical access in speech production

We report an experiment in which we test the possible influence of the tense of the verb and explicit negatives with indicative conditionals. We tested the effects of systematically negating the constituents of four fundamental inferences based on conditionals in three different tenses (present tense, past tense, future tense): Modus Ponens (i.e., inferences of the form: if p then q; p; therefore q), Modus Tollens (if p then q; not-q; therefore not-p), Affirmation of the Consequent (if p then q; q; therefore p), and Denial of the Antecedent (if p then q; not-p; therefore not-q). The latter two inferences are invalid for true conditionals, but are valid for bi-conditionals (if, and only if, p then q). The participants drew their own conclusions from premises about letters and numbers on cards. We discuss the results in relation to an affirmation premise bias, a negative conclusion bias, and a double negation effect. We outline the importance of our findings for theories about conditional and counterfactual thinking.     

Cognitive control in belief‐laden reasoning during conclusion processing: An ERP study

Belief bias is the tendency to accept conclusions that are compatible with existing beliefs more frequently than those that contradict beliefs. It is one of the most replicated behavioral findings in the reasoning literature. Recently, neuroimaging studies using functional magnetic resonance imaging (fMRI) and event‐related potentials (ERPs) have provided a new perspective and have demonstrated neural correlates of belief bias that have been viewed as supportive of dual‐process theories of belief bias. However, fMRI studies have tended to focus on conclusion processing, while ERPs studies have been concerned with the processing of premises. In the present research, the electrophysiological correlates of cognitive control were studied among 12 subjects using high‐density ERPs. The analysis was focused on the conclusion presentation phase and was limited to normatively sanctioned responses to valid–believable and valid–unbelievable problems. Results showed that when participants gave normatively sanctioned responses to problems where belief and logic conflicted, a more positive ERP deflection was elicited than for normatively sanctioned responses to nonconflict problems. This was observed from ?400 to ?200 ms prior to the correct response being given. The positive component is argued to be analogous to the late positive component (LPC) involved in cognitive control processes. This is consistent with the inhibition of empirically anomalous information when conclusions are unbelievable. These data are important in elucidating the neural correlates of belief bias by providing evidence for electrophysiological correlates of conflict resolution during conclusion processing. Moreover, they are supportive of dual‐process theories of belief bias that propose conflict detection and resolution processes as central to the explanation of belief bias.     

内隐自我正面偏见的机制及可变性

自我正面偏见是指对大多数个体来说, 其自我相关信息与正性情绪效价联系紧密, 个体倾向于把正面结果或特质归因于自我内部稳定的人格特征, 而认为负面结果或特质与自己的人格特征不相关。本项目从自我正面偏见的文化相对论与文化普遍论之争出发, 采用行为和认知神经科学技术, 试图证实集体主义文化下自我正面偏见的存在, 并对照外显自我正面偏见, 考察内隐层面上的自我正面偏见及其可变性, 探索抑郁个体的内隐自我相关信息加工的改善, 了解其大脑神经基础, 揭示内隐自我正面偏见的性质与特征, 验证和完善自我相关信息与情绪信息的功能加工层次模型。研究结果不仅有助于从内隐层面上了解自我与情绪的复杂关系, 而且还将对其神经基础做出重要探索, 更深入地解读中国人的自我的本质。     

Impact of negation salience and cognitive resources on negation during attitude formation

Because of the increased cognitive resources required to process negations, past research has shown that explicit attitude measures are more sensitive to negations than implicit attitude measures. The current work demonstrated that the differential impact of negations on implicit and explicit attitude measures was moderated by (a) the extent to which the negation was made salient and (b) the amount of cognitive resources available during attitude formation. When negations were less visually salient, explicit but not implicit attitude measures reflected the intended valence of the negations. When negations were more visually salient, both explicit and implicit attitude measures reflected the intended valence of the negations, but only when perceivers had ample cognitive resources during encoding. Competing models of negation processing, schema-plus-tag and fusion, were examined to determine how negation salience impacts the processing of negations.     

The shape of thought

When children learn the name of a novel object, they tend to extend that name to other objects similar in shape – a phenomenon referred to as the shape bias. Does the shape bias stem from learned associations between names and categories of objects, or does it derive from more general properties of children's understanding of language and the world? We argue here for the second alternative, presenting evidence that the shape bias emerges early in development, is not limited to names, and is intimately related to how children make sense of categories.     

视角在自我评价早期阶段的调节作用

在自我评价过程中存在着自我积极偏差。已有研究表明,采用第三人称视角进行反射性自我评价可以减少自我积极偏差,这种调节作用主要表现在自我评价的后期,而评价早期是否就受到视角采择的调节尚不清楚。为了探讨视角采择在自我评价早期对积极偏差的调节作用,采集并分析了被试以第一人称和第三人称视角分别对积极、消极特质形容词进行自我描述判断时的脑电时域、频域数据。结果发现,在第三人称视角下,加工消极词比积极词在额叶区域诱发了更大的P2 (120-200ms)波幅,在左侧内侧前额叶有更显著的激活;在Theta (3-6Hz)、以及Gamma (30-45Hz)节律上有显著高的能量增加,而Alpha (8-13Hz)节律则有显著高的能量降低。说明在自我评价的早期,人们更容易注意到以第三人称为视角的自我相关消极信息,即通过他人视角采择对自我积极偏差的调节在自我评价的早期阶段就已经发生了。     

Early mechanism of negativity bias: An attentional blink study1

Abstract: The negativity bias is the perceptual phenomena whereby an emotionally negative stimulus is processed faster than a positive or neutral stimulus. We used the attentional blink paradigm to investigate whether attentional resources are required to obtain the negativity bias. Positive, negative or neutral words were used as a preceding target (T1) and/or a subsequent target (T2). Experiment 1 showed that the negativity bias occurred, because the attentional blink was reduced by a negative T2, but not by a positive or neutral T2. Experiment 2 indicated that a negative T1 grabbed attentional resources, interfering with the identification of a neutral T2. Experiment 3 demonstrated that the report of a negative T2 deteriorated when T1 was also negative. We conclude that attentional resources were required for the occurrence of the negativity bias.     

On the power of the test for cluster bias

Cluster bias refers to measurement bias with respect to the clustering variable in multilevel data. The absence of cluster bias implies absence of bias with respect to any cluster‐level (level 2) variable. The variables that possibly cause the bias do not have to be measured to test for cluster bias. Therefore, the test for cluster bias serves as a global test of measurement bias with respect to any level 2 variable. However, the validity of the global test depends on the Type I and Type II error rates of the test. We compare the performance of the test for cluster bias with the restricted factor analysis (RFA) test, which can be used if the variable that leads to measurement bias is measured. It appeared that the RFA test has considerably more power than the test for cluster bias. However, the false positive rates of the test for cluster bias were generally around the expected values, while the RFA test showed unacceptably high false positive rates in some conditions. We conclude that if no significant cluster bias is found, still significant bias with respect to a level 2 violator can be detected with an RFA model. Although the test for cluster bias is less powerful, an advantage of the test is that the cause of the bias does not need to be measured, or even known.     

Attentional bias toward emotional stimuli in accidentally injured Chinese patients with different posttraumatic growth levels

Extensive evidence has been obtained that supports an association between an attentional bias (AB) toward negative stimuli and vulnerability to stress-related psychopathology, little is known regarding the characteristics of individual AB in different posttraumatic growth (PTG) levels. The current study used a modified dot-probe task to investigate if individual differences in AB towards either positive or negative emotional stimuli, are related to self-reported PTG. A sample of 202 patients completed the experiment. Patients with low levels of PTG did not exhibit AB toward negative or positive stimuli, patients with medium levels of PTG had difficulty disengaging attention from negative stimuli, patients with high levels of PTG had difficulty disengaging attention from positive stimuli. And the AB towards positive stimuli was only predictive for PTG. An implication of this finding is that there are different characteristics of implicit cognitive processing in patients with different levels of PTG, suggesting the necessity of psychological intervention on the accidentally injured patients.     

防御性自尊大学生注意偏向对记忆偏向的影响

摘 要 为考查防御性自尊大学生注意偏向对记忆偏向的影响,本研究将被试分为训练组和控制组,训练组接受注意偏向训练,之后完成记忆任务。记忆任务中呈现中性和攻击性词汇,要求被试对词汇进行自由回忆。结果发现,控制组对攻击性信息存在着记忆偏向,而训练组对攻击性信息的记忆偏向消失。注意偏向训练可以即时性地改变防御性自尊大学生对攻击性信息的注意偏向,注意偏向可能是特质一致性记忆的原因之一。