Linguistic factors in reasoning

An experiment is reported which attempts to demonstrate the effects of manipulating two linguistic variables on a propositional reasoning task, one relating to the linguistic form of the logical rule, and the other to the presence and absence of negative components. The results are discussed in relation to Evans' (1972a) distinction between interpretational and operational factors in reasoning. Problems arising from the application of this distinction are discussed in detail.     

Linguistic factors in conditional reasoning

An experiment is reported which demonstrates the influence of three cognitive variables on adults' abilities to reason with conditional arguments embedded in either causal-temporal or class inclusion content. The three variables are the linguistic form of the conditional rule, the principle of conditional reasoning, and the order of the components in the conditional rule. The results showed considerable similarity in the effects of these factors for the two types of concrete content, but some interesting differences were found. The findings are discussed in relation to the results of recent investigations which involved abstract content and/or other deductive reasoning paradigms.     

The Influence of Linguistic Form on Reasoning: The Case of Matching Bias

A well-established phenomenon in reasoning research is matching bias : a tendency to select information that matches the lexical content of propositional statements, regardless of the logically critical presence of negations. Previous research suggested, however, that the effect might be restricted to reasoning with conditional statements. This paper reports two experiments in which participants were required to construct or identify true and false cases of propositional rules of several kinds, including universal statements, disjunctions, and negated conjunctions. Matching bias was observed across all rule types but largely restricted to problems where participants were required to falsify rather than to verify the rules. A third experiment showed a similar generalization across linguistic forms in the Wason selection task with only if conditionals substituted for universals. The results are discussed with reference to contemporary theories of propositional reasoning.     

内容和形式对毒品成瘾者条件推理的影响

本研究通过比较推理内容与推理形式对毒品成瘾者推理成绩的影响,以探究影响毒品成瘾者能力成绩的主要内在机制。实验采用了2(四卡片形式vs选择项形式)×2(描述性规则vs社会契约规则)混合设计,以240名男性戒毒人员为研究对象,考察他们在不同推理内容与不同推理形式下的条件推理作业成绩。结果发现:(1)就规则内容来看,描述性规则内容在选择项形式上的得分好于四卡片形式,社会契约规则内容在两种呈现形式下的成绩没有显著差异;(2)就规则呈现形式来看,四卡片形式下的描述性规则得分显著地低于社会契约规则得分; 选择项形式下两类规则内容得分无显著差异。结果表明:毒品成瘾者的条件推理行为既受到推理内容的影响,也受到逻辑规则呈现形式的影响。     

Laws of language use and formal logic

After a review of recent work connected with Grice's maxims of conversation, special attention is paid to the principles related to the concept of informativeness. The operation of those principles constrains logic by limiting the meaning of logical particles and, more importantly, by contradicting axioms and many theorems of the propositional calculus. It is argued that, as the development of the individual's formal operations proceeds, a conflict with laws of language use arises. The notion of a conflict between two subsystems, logical and linguistic, is used in a developmental perspective to account, in a unified manner, for the observed discrepancy between subjects' behavior in deductive and inductive reasoning tasks and predictions based on formal logic.     

Logical knowledge and ordinary reasoning

This paper argues that the prominent accounts of logical knowledge have the consequence that they conflict with ordinary reasoning. On these accounts knowing a logical principle, for instance, is having a disposition to infer according to it. These accounts in particular conflict with so-called ‘reasoned change in view’, where someone does not infer according to a logical principle but revise their views instead. The paper also outlines a propositional account of logical knowledge which does not conflict with ordinary reasoning.     

Reasoning with exclusive disjunction arguments

An experiment was performed to determine the effects of negation in the major premise and/or conclusion of exclusive disjunction arguments on adults' abilities to apply two basic principles of exclusive disjunction. The component of the disjunctive premise that was referred to in the minor premise was varied systematically so that the influence of this factor could also be explored. The results indicated that arguments involving the confirmation of one of the components of the disjunctive premise followed by the denial of the other component of this premise were easier to evaluate than those in which this confirmation/denial sequence was reversed. In addition, arguments in which the disjunctive premise had two affirmative components were easier than those in which the disjunctive premise contained at least one negative component, but arguments with affirmative conclusions were more difficult than those with negative conclusions. Most importantly, an examination of subjects' errors and their response patterns revealed primitive response tendencies that paralleled those reported in previous studies of adults' propositional reasoning abilities.     

Propositional reasoning: the differential contribution of "rules" to the difficulty of complex reasoning problems

In Experiment 1, complex propositional reasoning problems were constructed as a combination of several types of logical inferences: modus ponens, modus tollens, disjunctive modus ponens, disjunctive syllogism, and conjunction. Rule theories of propositional reasoning can account for how one combines these inferences, but the difficulty of the problems can be accounted for only if a differential psychological cost is allowed for different basic rules. Experiment 2 ruled out some alternative explanations for these differences that did not refer to the intrinsic difficulty of the basic rules. It was also found that part of the results could be accounted for by the notion of representational cost, as it is used in the mental model theory of propositional reasoning. However, the number of models as a measure of representational cost seems to be too coarsely defined to capture all of the observed effects.     

Evidence for Mental-model-based Reasoning: A Comparison of Reasoning with Time and Space Concepts

Johnson-Laird (1983) has argued that spatial reasoning is based on the construction and manipulation of mental models in memory. The present article addresses the question of whether reasoning about time relations is constrained by the same factors as reasoning about spatial relations. An experiment is reported that explored the similarities and the differences in the performance of subjects in comparable spatial and temporal reasoning tasks. The results indicated that, in both the temporal and the spatial content domains, the data were in agreement with the view that subjects solved problems by constructing models in memory rather than with a logical rule conceptualisation of reasoning. An analysis of the premise-reading times on the basis of premise-linking order provided support for an on-line process of mental models construction, and offered an explanation for the finding that spatial problems that did require an inference of transitivity were easier than problems that did not. No essential differences in processing and performance were observed across the two content domains, although in the time domain the correctness data were in agreement with both the mental models theory and the logical rules view. The results are discussed with respect to the mental models theory and the structural characteristics of the problems.     

Formal reasoning in Japanese older adults: The role of metacognitive strategy,task content,and social factors

This study investigated the availability of deductive reasoning competence in late adulthood. Forty-six Japanese older (mean age =71 years) and 58 Japanese young adults (mean age =19.6 years) were assessed for formal or deductive reasoning using Overton's (1990) revision of the four-card selection task. For older adults, metacognitive strategy—operating as a procedure designed to access reasoning competence—resulted in enhanced performance levels. When the semantic content of the reasoning task involved emotional issues, however, the metacognitive strategy failed to facilitate reasoning performance. This suggests that reasoning competence is available in late adulthood but that performance is susceptible to contextual variables. Social factors were not significantly related to older adults' reasoning performance. Thus, assessment of these factors may have been based on too broad a definition to describe adequately the status of the older adults. For the young, only semantic task content was related to reasoning performance.     

Frege's Content-Principle and Relevant Deducibility

Given the harmony principle for logical operators, compositionality ought to ensure that harmony should obtain at the level of whole contents. That is, the role of a content qua premise ought to be balanced exactly by its role as a conclusion. Frege's contextual definition of propositional content happens to exploit this balance, and one appeals to the Cut rule to show that the definition is adequate.We show here that Frege's definition remains adequate even when one relevantizes logic by abandoning an unrestricted Cut rule. The proof exploits the fact that in the relevantized logic, which abandons the unrestricted rule of Cut, any failure of the transitivity of deduction is offset by the epistemic gain involved in learning that a stronger-than-expected result holds.     

Predicting the difficulty of complex logical reasoning problems

The aim of the present research was to develop a difficulty model for logical reasoning problems involving complex ordered arrays used in the Graduate Record Examination. The approach used involved breaking down the problems into their basic cognitive elements such as the complexity of the rules used, the number of mental models required to represent the problem, and question type. Weightings for these different elements were derived from two experimental studies and from the reasoning literature. Based on these weights, difficulty models were developed which were then tested against new data. The models had excellent predictive validity and showed the relative influence of rule based factors and factors relating to the number of underlying models. Different difficulty models were needed for different question types, suggesting that people used a variety of approaches and, at a wider level, that both mental models and mental rules may be used in reasoning.     

Training propositional reasoning

Two experiments compared the effects of four training conditions on propositional reasoning. A syntactic training demonstrated formal derivations, in an abstract semantic training the standard truth-table definitions of logical connectives were explained, and a domain-specific semantic training provided thematic contexts for the premises of the reasoning task. In a control training, an inductive reasoning task was practised. In line with the account by mental models, both kinds of semantic training were significantly more effective than the control and the syntactic training, whereas there were no significant differences between the control and the syntactic training, nor between the two kinds of semantic training. Experiment 2 replicated this pattern of effects using a different set of syntactic and domain-specific training conditions.     

DÉPENDANCE-INDÉPENDANCE À L'ÉGARD DU CHAMP ET RÉSOLUTION DE SYLLOGISMES LINÉAIRES*

A formal analysis of a set of linear syllogisms led the author to a definition of two factors involved in the construction of these syllogisms: (a) a logical factor linking the two premises (I, identical relation; R, reciprocal relation), (b) a linguistic factor concerning the formulation of the premises (affirmative or negative propositions). Thirty-six French adolescents were given a set of 48 problems in which the logical and the linguistic factors were combined in the same proportion. These subjects were of equal ability with regard to the functioning of the formal operatory systems, but of different abilities with respect to field dependence–independence. The results show a significant correlation between latencies and field dependence–independence. The analysis of this correlation leads to the conclusion that the restructuration processes worked more slowly in the dependent subjects than in the independent subjects. It appears from the analysis of the results that the differences observed in the subjects' reasoning processes may be interpreted in terms of mobility of intellectual operations.     

Anatomy of deductive reasoning

Much of cognitive research on deductive reasoning has been preoccupied with advocating for or against visuospatial (mental model theory) or linguistic/syntactic (mental logic theory) models of logical reasoning. Neuroimaging studies bear on this issue by pointing to both language-based and visuospatial systems being engaged during logical reasoning, and by raising additional issues not anticipated by these cognitive theories. Here, the literature on the neural basis of deductive reasoning from the past decade is reviewed. Although these results might seem chaotic and inconsistent, we identify several interesting patterns and articulate their implications for cognitive theories of reasoning. Cognitive neuroscience data point away from a unitary system for logical reasoning and towards a fractionated system dynamically reconfigured in response to specific task and environmental cues.     

Longitudinal change in language production: effects of aging and dementia on grammatical complexity and propositional content.

Mixed modeling was used to examine longitudinal changes in linguistic ability in healthy older adults and older adults with dementia. Language samples, vocabulary scores, and digit span scores were collected annually from healthy older adults and semiannually from older adults with dementia. The language samples were scored for grammatical complexity and propositional content. For the healthy group, age-related declines in grammatical complexity and propositional content were observed. The declines were most rapid in the mid 70s. For the group with dementia, grammatical complexity and propositional content also declined over time, regardless of age. Rates of decline were uniform across individuals. These analyses reveal how both grammatical complexity and propositional content are related to late-life changes in cognition in healthy older adults aswell as those with dementia. Alzheimer's disease accelerates this decline, regardless of age.     

A study of disjunctive reasoning

Summary Whilst it is currently fashionable to construct sequential models of reasoning, the results of recent experiments on conditional reasoning tasks are apparently incompatible with this notion. There is evidence of two orthogonal statistical components, one logical and the other non-logical. It has been suggested that non-logical tendencies are response biases independent of the linguistic structure of the rule. However, certain results suggest that the matching bias observed in conditional tasks may not occur with disjunctives.Two experiments are reported in which subjects generated subjective truth tables for disjunctive rules, in which the presence and absence of negative components was varied. Experiment I provided a powerful test of the matching bias hypothesis and found no evidence of its presence. The presence of negative components did, however, systematically affect performance. Experiment II, with the aid of latency measurements, provided support for the hypothesis that negatives were affecting the ease of interpretation of the disjunctive sentences, with one negative component causing at least as much difficulty as two.In discussion, it is pointed out that the present results can be reconciled with those on conditional tasks, on the assumption that matching bias is a special case of associational biases which are dependent on the linguistic form of the rule. It still appears necessary to retain the distinction between logical and non-logical components of the performance. However, this does not necessarily imply parallel processes underlying the data. A single muddled thought process, in which a rational sequential strategy fails to be consistently applied, could give rise to the type of data obtained.     

Working Memory Involvement in Propositional and Spatial Reasoning

Four experiments assessed the relative involvement of different working memory components in two types of reasoning tasks: propositional and spatial reasoning. Using the secondary-task methodology, visual, central-executive, and phonological loads were realised. Although the involvement of visuospatial resources in propositional reasoning has traditionally been considered to be small, an overall analysis of the present data suggests an alternative account. A theoretical analysis of the pattern of results in terms of Evans' (1984, 1989) twostage theory of reasoning is proposed and tested in Experiments 3 and 4, in which direct evidence for the alternative account was obtained: significant disruption of propositional reasoning by a concurrent spatial load.     

An ERP investigation of conditional reasoning with emotional and neutral contents

In two experiments we investigate conditional reasoning using event-related potentials (ERPs). Our goal was to examine the time course of inference making in two conditional forms, one logically valid (Modus Ponens, MP) and one logically invalid (Affirming the Consequent, AC). We focus particularly on the involvement of semantically-based inferential processes potentially marked by modulations of the N400. We also compared reasoning about emotional and neutral contents with separate sets of stimuli of differing linguistic complexity across the two experiments. Both MP and AC modulated the N400 component, suggesting the involvement of a semantically-based inferential mechanism common across different logical forms, content types, and linguistic features of the problems. Emotion did not have an effect on early components, and did not interact with components related to inference making. There was a main effect of emotion in the 800–1050 ms time window, consistent with an effect on sustained attention. The results suggest that conditional reasoning is not a purely formal process but that it importantly implicates semantic processing, and that the effect of emotion on reasoning does not primarily operate through a modulation of early automatic stages of information processing.     

Cognitive and personality determinants of safe driving performance in professional drivers

Large truck and bus crashes still cause a high rate of fatalities and costs. Considering that the human factor plays an important role it is obvious that there is great interest in predicting safe driving performance in professional drivers, especially with new technologies emerging to assist drivers. This study uses a modern theoretical framework to assess which psychometric tests are still able to predict safe driving performance in today’s professional drivers under these new circumstances.126 male professional bus drivers completed a standardized digital test battery and three driving exercises. The test battery was used to assess reaction time, concentration, ability to gain an overview, reactive stress tolerance, logical reasoning, and safety-related personality traits. The exercises consisted of an on-road driving test, an obstacle course, and a maneuvering course.The study yielded satisfactory indicators of criterion related validity. It also showed that different tests were relevant for the prediction of safe driving performance in different driving exercises. Contrary to previous research, logical reasoning showed significant effects. The results indicate that in order to assess safe driving performance in professional drivers, a comprehensive assessment with psychometric tests should be recommended.