Theories of categorical reasoning and extended syllogisms

The aim of this study was to examine the predictions of three theories of human logical reasoning, (a) mental model theory, (b) formal rules theory (e.g., PSYCOP), and (c) the probability heuristics model, regarding the inferences people make for extended categorical syllogisms. Most research with extended syllogisms has been restricted to the quantifier “All” and to an asymmetrical presentation. This study used three-premise syllogisms with the additional quantifiers that are used for traditional categorical syllogisms as well as additional syllogistic figures. The predictions of the theories were examined using overall accuracy as well as a multinomial tree modelling technique. The results demonstrated that all three theories were able to predict response selections at high levels. However, the modelling analyses showed that the probability heuristics model did the best in both Experiments 1 and 2.     

Theories of the syllogism: A meta-analysis

Syllogisms are arguments about the properties of entities. They consist of 2 premises and a conclusion, which can each be in 1 of 4 "moods": All A are B, Some A are B, No A are B, and Some A are not B. Their logical analysis began with Aristotle, and their psychological investigation began over 100 years ago. This article outlines the logic of inferences about syllogisms, which includes the evaluation of the consistency of sets of assertions. It also describes the main phenomena of reasoning about properties. There are 12 extant theories of such inferences, and the article outlines each of them and describes their strengths and weaknesses. The theories are of 3 main sorts: heuristic theories that capture principles that could underlie intuitive responses, theories of deliberative reasoning based on formal rules of inference akin to those of logic, and theories of deliberative reasoning based on set-theoretic diagrams or models. The article presents a meta-analysis of these extant theories of syllogisms using data from 6 studies. None of the 12 theories provides an adequate account, and so the article concludes with a guide-based on its qualitative and quantitative analyses-of how best to make progress toward a satisfactory theory.     

The development of linear syllogistic reasoning

Between 24 and 26 children in each of grades 3, 5, 7, 9, and 11 (with mean ages of 8.5, 10.2, 13.0, 15.0, and 16.6 years, respectively) were tested in their ability to solve linear syllogisms, problems such as “John is taller than Mary. Mary is taller than Pete. Who is tallest? John, Mary, Pete.” Response latencies and error rates decreased across grade levels and sessions. Component latencies also generally decreased with increasing age. Four alternative information-processing models were fit to the group latency data at each grade level. These models were (a) a spatial model, according to which people represent the terms of a linear syllogism in the form of a linear spatial array; (b) a linguistic model, according to which linear syllogisms are solved via inferences on functional relations represented by linguistic deep structures; (c) an algorithmic model, according to which people solve linear syllogisms by applying a series of simple, essentially mechanical steps, and (d) a mixed model, which combines selected features of the spatial and linguistic models, and adds new features of its own. The latency data supported the mixed model at each grade level, although in grade 9 the model was not the preferred one until the second session of testing.     

Embarrassment: Actual vs. typical cases,classical vs. prototypical representations

Abstract

Theories of embarrassment were investigated by having subjects either recall an occasion when they were embarrassed or describe their idea of a typical instance of embarrassment. Subjects then rated their account on a questionnaire designed to measure five theoretical approaches to embarrassment: dramaturgic theory, social anxiety theory, and three decreased self-esteem theories. Patterns of means and of covariation for actual embarrassment best supported the dramaturgic theory. In contrast, subjects' accounts of typical embarrassment contained elements of all five theories. The written accounts were analysed to produce a prototype of embarrassment, which consisted mostly of elements of the dramaturgic and social anxiety theories. We propose that the concept of embarrassment is necessarily linked to dramaturgic difficulties, whereas it is contingently linked to social anxiety and decreased self-esteem.     

Working memory and syllogistic reasoning

The purpose of this study was to examine the relation between working memory span and syllogistic reasoning performance. In addition, performance for the reasoning task was compared to predictions made by mental model theory and the probability heuristics model. According to mental model theory, syllogisms that require the use of more mental models are more difficult. According to the probability heuristics model difficulty is related to the number of probabilistic heuristics that must be applied, or (for invalid syllogisms) inconsistencies between the derived and correct conclusion. The predictions of these theories were examined across two experiments. In general, people with larger working memory capacities reasoned better. Also, the responses made by people with larger capacities were more likely to correspond to the predictions made by both mental model theory and the probability heuristics model. Relations between working memory span and performance were also consistent with both theories.     

On the role of imagery in linear syllogistic reasoning

Summary The functional role of imagery in linear syllogistic reasoning has not yet been convincingly established. Shortcomings of previous theories and research are discussed. A conceptual analysis of the imagery position leads to the differentiation of modality-specific, analogical-representational, and process perspectives. To obtain evidence relevant to the first and third of these perspectives, a Stroop-type interference paradigm was used in combination with self-paced successive presentation of task components (premises and question of linear syllogisms). Effects of interference information and task components upon response time were consistent with the process reconceptualization of the imagery position.     

The relation between visual imagery mediators and recall

Three hypotheses are discussed as explanations for the result that pairs of concrete nouns are more easily remembered than are pairs of abstract nouns: the imagery hypothesis, the familiarity hypothesis, and the concreteness hypothesis. Two experiments are reported in which the degree of visual imagery associated with the components of paired associate items was not indicative of the degree of visual imagery experienced during their learning or with the accuracy with which they were recalled. It was found that pairs of related abstract nouns were rated higher in imagery and familiarity than were pairs of unrelated concrete nouns, but recall of the higher imagery pairs was poorer. The concreteness hypothesis is discussed as the best explanation for the results. The concreteness hypothesis proposes that people learn to associate the labels of concrete objects by using their real-world knowledge of the potential relations between categories of objects. Dual coding theory and schema theory are also discussed as explanations for mediation learning, and the issue of visual imagery as an epiphenomenon is addressed.     

A perception theory in mind–body medicine: guided imagery and mindful meditation as cross-modal adaptation

A new theory of mind–body interaction in healing is proposed based on considerations from the field of perception. It is suggested that the combined effect of visual imagery and mindful meditation on physical healing is simply another example of cross-modal adaptation in perception, much like adaptation to prism-displaced vision. It is argued that psychological interventions produce a conflict between the perceptual modalities of the immune system and vision (or touch), which leads to change in the immune system in order to realign the modalities. It is argued that mind–body interactions do not exist because of higher-order cognitive thoughts or beliefs influencing the body, but instead result from ordinary interactions between lower-level perceptual modalities that function to detect when sensory systems have made an error. The theory helps explain why certain illnesses may be more amenable to mind–body interaction, such as autoimmune conditions in which a sensory system (the immune system) has made an error. It also renders sensible erroneous changes, such as those brought about by “faith healers,” as conflicts between modalities that are resolved in favor of the wrong modality. The present view provides one of very few psychological theories of how guided imagery and mindfulness meditation bring about positive physical change. Also discussed are issues of self versus non-self, pain, cancer, body schema, attention, consciousness, and, importantly, developing the concept that the immune system is a rightful perceptual modality. Recognizing mind–body healing as perceptual cross-modal adaptation implies that a century of cross-modal perception research is applicable to the immune system.     

Complexity of categorical syllogisms: An integration of two metrics

The complexity of categorical syllogisms was assessed using the relational complexity metric, which is based on the number of entities that are related in a single cognitive representation. This was compared with number of mental models in an experiment in which adult participants solved all 64 syllogisms. Both metrics accounted for similarly large proportions of the variance, showing that complexity depends on the number of categories that are related in a representation of the combined premises, whether represented in multiple mental models, or by a single model. This obviates the difficulty with mental models theory due to equivocal evidence for construction of more than one mental model. The “no valid conclusion” response was used for complex syllogisms that had valid conclusions. The results are interpreted as showing that the relational complexity metric can be applied to syllogistic reasoning, and can be integrated with mental models theory, which together account for a wide range of cognitive performances.     

The perception of filmed violence by aggressive individuals with high or low self-concept of aggression

An experiment was devised which tested the classical theory of projection. Subjects completed a Rosenzweig Picture Frustration Study form (RPFS) also rated themselves for aggressiveness on rating scales. Highly aggressive subjects were classified according to whether they rated themselves as high aggressive or tow aggressive. Subjects watched one of two full-length commercial films, and the ratings which high-aggressive, high-self-rating subjects and high-aggressive, low-self-rating subjects gave to film characters were compared. It was found that aggressive film characters were rated as being more aggressive by the low-self-rating subjects than by the high-self-rating subjects. The possible explanation that this finding could be related to more general differences between subjects was not supported. It was therefore concluded that the results of this experiment were best explained by the predictions of classical projection theory, with the proviso that aggression was only projected onto those film characters whose behaviour provided appropriate cues.     

Getting Expression‐Based Semantics Right: Its Proper Objects of Evaluation and Limits

Often those attempting to resolve the answering machine paradox appeal to Kaplan's claim that the objects of semantic evaluation are expression‐types evaluated with respect to indices, instead of utterances, as part of their solution. This article argues that Dylan Dodd and Paula Sweeney exemplify the kind of mistakes theorists make in applying such expression‐based semantic theories in that (1) they conflate what is asserted with semantic content, and (2) they take their approach to utterance interpretation as having semantic significance. In light of these mistakes, we learn two things. First, we learn how expression‐based semantic theorists can avoid making these kinds of mistakes. Second, we learn how the limits of expression‐based semantics can contribute to what we should expect a semantic theory to explain regarding how semantics fits into a more general theory of linguistic communication and linguistic understanding.     

Using Real‐World and Standardized Spatial Imagery Tasks: Convergence,Imagery Realism,and Gender Differences

Can realistic spatial scenarios be used to measure spatial mental imagery? Can people accurately evaluate their spatial imagery? Does gender moderate the relationship between performance on realistic spatial imagery tasks and ratings of imagery realism? Forty‐two female and 31 male undergraduates first rated the realism of their images after reading spatial scenarios based on actual spatial tasks. In phase 2, they solved closely related spatial scenario problems, and then completed the VZ‐2 Paper Folding test. Performance on realistic spatial scenarios predicted performance on the VZ‐2. Men's evaluation of their spatial imagery realism predicted their actual spatial performance, but women's did not. More task experience was positively related to more realistic images and higher scores on the VZ‐2. These results were generally consistent with those found with more artificial stimulus materials, but also demonstrated the importance of considering gender differences in spatial problem strategy and/or rating scale interpretation. Copyright © 2014 John Wiley & Sons, Ltd.     

Logical reasoning,world knowledge,and mental imagery: Interconnections in cognitive processes

To better understand the role of problem content in verbal reasoning, the effect of two aspects of problem representation on conditional reasoning was examined. Specifically, this study focused on the effect of availability of knowledge schemata and mental imagery on recognition of indeterminacy. Four groups of 20 adults solved syllogisms that varied in imagery value and in tendency to access knowledge schemata (assessed by ratings of the relatedness of antecedent and consequent clauses of premises). When problems both were high in imagery value and had related clauses, performance was significantly better on indeterminate syllogisms. Access to schemata may permit elaborative processing and the generation of counterexamples to invalid inferences; imagery may support representation of problems and generation of elaborative information in memory.     

In defence of error theory

Many contemporary philosophers rate error theories poorly. We identify the arguments these philosophers invoke, and expose their deficiencies. We thereby show that the prospects for error theory have been systematically underestimated. By undermining general arguments against all error theories, we leave it open whether any more particular arguments against particular error theories are more successful. The merits of error theories need to be settled on a case-by-case basis: there is no good general argument against error theories.     

Adaptive memory: the comparative value of survival processing

We recently proposed that human memory systems are "tuned" to remember information that is processed for survival, perhaps as a result of fitness advantages accrued in the ancestral past. This proposal was supported by experiments in which participants showed superior memory when words were rated for survival relevance, at least relative to when words received other forms of deep processing. The current experiments tested the mettle of survival memory by pitting survival processing against conditions that are universally accepted as producing excellent retention, including conditions in which participants rated words for imagery, pleasantness, and self-reference; participants also generated words, studied words with the intention of learning them, or rated words for relevance to a contextually rich (but non-survival-related) scenario. Survival processing yielded the best retention, which suggests that it may be one of the best encoding procedures yet discovered in the memory field.     

Syllogistic inference

This paper reviews current psychological theories of syllogistic inference and establishes that despite their various merits they all contain deficiencies as theories of performance. It presents the results of two experiments, one using syllogisms and the other using three-term series problems, designed to elucidate how the arrangement of terms within the premises (the ‘figure’ of the premises) affects performance. These data are used in the construction of a theory based on the hypothesis that reasoners construct mental models of the premises, formulate informative conclusions about the relations in the model, and search for alternative models that are counterexamples to these conclusions. This theory, which has been implemented in several computer programs, predicts that two principal factors should affect performance: the figure of the premises, and the number of models that they call for. These predictions were confirmed by a third experiment.     

The Interference of Introversion–Extraversion and Depressive Symptomatology with Reasoning Performance: A Behavioural Study

The objective of this study was to investigate the link between the Eysenck Personality Questionnaire (EPQ) scores and depressive symptomatology with reasoning performance induced by a task including valid and invalid Aristotelian syllogisms. The EPQ and the Zung Depressive Scale (ZDS) were completed by 48 healthy subjects (27 male, 21 female) aged 33.5 ± 9.0 years. Additionally, the subjects engaged into two reasoning tasks (valid vs. invalid syllogisms). Analysis showed that the judgment of invalid syllogisms is a more difficult task than of valid judgments (65.1% vs. 74.6% of correct judgments respectively, p < 0.01). In both conditions, the subjects’ degree of confidence is significantly higher when they make a correct judgment than when they make an incorrect judgment (83.8 ± 11.2 vs. 75.3 ± 17.3, p < 0.01). Subjects with extraversion as measured by EPQ and high sexual desire as rated by the relative ZDS subscale are more prone to make incorrect judgments in the valid syllogisms, while, at the same time, they are more confident in their responses. The effects of extraversion/introversion and sexual desire on the outcome measures of the valid condition are not commutative but additive. These findings indicate that extraversion/introversion and sexual desire variations may have a detrimental effect in the reasoning performance.     

Hallucinatory predisposition and vividness of auditory imagery: self-report and behavioral indices.

This study examined the relation between a subjective and a behavioral measure of the vividness of auditory imagery as well as the disposition towards hallucination in normal subjects. In addition to the Launay-Slade Hallucination Scale, subjects (57 university students) completed the Betts questionnaire in which they rated the vividness of their experienced mental images and performed a behavioral task aimed at measuring auditory imagery. The task consisted of a perception and an imagery condition in which subjects had to indicate the odd one of three everyday sounds. Performance on the behavioral task did not correlate with the auditory or scores on the Visual subscale of the Betts. In addition, neither scores on the behavioral measure nor the Auditory subscale of the Betts correlated significantly with hallucinatory predisposition as rated on the Launay-Slade Hallucination Scale. In contrast, the Visual subscale of the Betts did correlate with scores on the Launay-Slade Hallucination Scale, consistent with previous research. We conclude that there is no straightforward relationship between imagery vividness and hallucinatory experiences and that subjective and objective indices of imagery vividness measure different aspects of mental function.     

A Study on Late Closure in Spanish: Principle-grounded vs. Frequency-based Accounts of Attachment Preferences

A much-debated issue in current research on sentence parsing concerns the resolution of attachment ambiguities. Parsing theories differ on the procedures used to guide on-line attachment decisions: principle-grounded theories (e.g. garden-path/ construal) propose universal principles that minimize processing load; frequency-based accounts (such as linguistic tuning) claim that attachment decisions are shaped by readers' previous experience with their particular language; lexically based models, in turn, assert that attachment choices are determined by the properties of individual lexical items in the sentence. This paper reports six studies on late closure in the resolution of attachment ambiguities in Spanish: a questionnaire study on attachment preferences and three self-paced reading experiments where ambiguous PPs could be attached as arguments of two VP-hosts in NP-VP1-NPVP2-PP structures. The results show a clear preference towards low attachment (late closure), thus supporting principle-grounded theories. In addition, two corpus studies were carried out to obtain records of relative frequencies of the attachment choices involved in the experiments. A coarse-grained measure revealed that, in accordance with linguistic tuning, low-attachment structures are more common in Spanish NP-VP1-NP-VP2-PP sentences. However, a fine-grained count showed that low-attachment preferences cannot be explained by arguing that the specific verbs positioned lower on the tree (VP2) are more likely to take an extra argument than those located at a higher position (VP1), as lexical models would assume.