Analogy as relational priming: a developmental and computational perspective on the origins of a complex cognitive skill

The development of analogical reasoning has traditionally been understood in terms of theories of adult competence. This approach emphasizes structured representations and structure mapping. In contrast, we argue that by taking a developmental perspective, analogical reasoning can be viewed as the product of a substantially different cognitive ability - relational priming. To illustrate this, we present a computational (here connectionist) account where analogy arises gradually as a by-product of pattern completion in a recurrent network. Initial exposure to a situation primes a relation that can then be applied to a novel situation to make an analogy. Relations are represented as transformations between states. The network exhibits behaviors consistent with a broad range of key phenomena from the developmental literature, lending support to the appropriateness of this approach (using low-level cognitive mechanisms) for investigating a domain that has normally been the preserve of high-level models. Furthermore, we present an additional simulation that integrates the relational priming mechanism with deliberative controlled use of inhibition to demonstrate how the framework can be extended to complex analogical reasoning, such as the data from explicit mapping studies in the literature on adults. This account highlights how taking a developmental perspective constrains the theory construction and cognitive modeling processes in a way that differs substantially from that based purely on adult studies, and illustrates how a putative complex cognitive skill can emerge out of a simple mechanism.     

儿童类比推理的影响因素及干预促进

类比推理这一重要认知能力能够帮助儿童在未经历过的复杂情况下进行推断和学习。近年来研究者主要从行为研究、计算机模型和眼动技术的角度探究了儿童抑制控制和工作记忆在类比推理中的交互作用模式及类比推理策略对类比推理的影响。在此基础上,研究者围绕语言标签和物理表征两方面对儿童类比推理进行了干预研究。儿童类比推理的未来研究应着眼于改进研究方法、关注类比推理各加工阶段影响因素及加强儿童类比推理策略的干预应用研究。     

类比推理的发展理论评析

类比在认知科学领域具有特殊的地位,儿童类比推理能力的发展是其认知发展的重要成分之一。本文系统介绍了类比推理发展研究中的几个重要理论,即能力限制说、知识经验说和关系转换说等。在此基础上,作者进一步对类比推理发展研究中涉及的几个焦点问题,如类比推理出现的最早年龄,类比推理发展的影响因素及类比推理的发展趋势等进行了综合评析。     

Cross-domain analogies as relating derived relations among two separate relational networks

Contemporary behavior analytic research is making headway in analyzing analogy as the establishment of a relation of coordination among common types of trained or derived relations. Previous studies have been focused on within-domain analogy. The current study expands previous research by analyzing cross-domain analogy as relating relations among separate relational networks and by correlating participants' performance with a standard measure of analogical reasoning. In two experiments, adult participants first completed general intelligence and analogical reasoning tests. Subsequently, they were exposed to a computerized conditional discrimination training procedure designed to create two relational networks, each consisting of two 3-member equivalence classes. The critical test was a two-part analogical test in which participants had to relate combinatorial relations of coordination and distinction between the two relational networks. In Experiment 1, combinatorial relations for each network were individually tested prior to analogical testing, but in Experiment 2 they were not. Across both experiments, 65% of participants passed the analogical test on the first attempt. Moreover, results from the training procedure were strongly correlated with the standard measure of analogical reasoning.     

The Micro-Category account of analogy

Here, we investigate how activation of mental representations of categories during analogical reasoning influences subsequent cognitive processing. Specifically, we present and test the central predictions of the "Micro-Category" account of analogy. This account emphasizes the role of categories in aligning terms for analogical mapping. In a semantic priming paradigm, a four-word analogy task was compared to two other four-word tasks. Stimuli were identical in all tasks; only the instructions given to participants differed. Participants were instructed to identify analogy relations, category relations, or conventionalized semantic relations in the four-word sets. After each four-word set, a single target word appeared and participants named this word aloud. Target words that referred to category relations in the preceding four-word sets were primed as strongly when participants identified analogies as when participants identified categories, suggesting that activation of category concepts plays an important role in analogical thinking. In addition, priming of category-referent words in the analogy and category tasks was significantly greater than priming of these words when participants identified conventionalized semantic relations. Since identical stimuli were used in all conditions, this finding indicates that it is the activation of category relations, distinct from any effect of basic semantic association, that causes analogical reasoning to prime category-referent words. We delineate how the "Micro-Category" account of analogy predicts these phenomena and unifies findings from diverse areas of research concerning analogical reasoning.     

Situation semantics and models of analogy

Conclusion The preceding theory represents, I believe, a large improvement over conceptual graph theories of analogy. In particular, it is possible for analogical reasoning to be flexible or creative on this approach, an aspect of analogy that is not accounted for in conceptual graph theories. I also believe that searching by constraint violations is a more reasonable way to organize memory search than to look for properties of conceptual hierarchies. Proof of this last point, however, awaits an more detailed classification of the constraints that figure in analogical reasoning.     

语言类比推理的神经机制：来自ERP研究的证据

实验通过“A:B::C:D”范式, 采用事件相关电位技术, 考察了语言类比推理的神经机制。实验结果显示：图式生成阶段诱发出N400和P300成分, 反映了类比源域的词对概念通达和词对关系抽取的加工过程; 类比映射阶段诱发出N400和晚期负成分LNC, 反映了类比目标域前项词汇概念意义的激活, 以及将已获取的图式关系类比映射于目标域, 并进行推理的加工过程。研究结果表明, 语言类比推理的神经机制复杂, 牵涉到一系列认知加工步骤; LNC成分与类比映射阶段的加工关系密切, 其波幅和头皮分布的广泛性情况与类比映射关系的复杂程度成正比。     

Problem restructuring processes for ill-structured verbal analogies

The processes involved in analogy solving have been an important investigative area in cognitive psychology. Although problem restructuring has been a central construct in problem solving theory, no restructuring processes have been proposed for analogical reasoning. Yet, the stimulus terms for analogies, as they appear on ability tests, are often ill-structured. That is, they are ordered in a way that does not permit direct problem comprehension. In the current study, both perceptual and semantic problem restructuring processes were hypothesized for analogy solving. The independence, stage of execution, and susceptibility to strategic control of the two processes were examined. The results from two experiments indicated that (1) ill-structured analogies are restructured during problem solving, (2) perceptual and semantic restructuring processes are independent and executed at different stages of analogy solving, and (3) both processes exhibited automaticity since repetition of analogy solution attenuated but did not eliminate either restructuring process. A model of analogical reasoning that incorporated both restructuring processes and their execution sequences was proposed. The nature and automaticity of perceptual and semantic analogy restructuring processes were disscussed.     

Neural correlates of creativity in analogical reasoning

Brain-based evidence has implicated the frontal pole of the brain as important for analogical mapping. Separately, cognitive research has identified semantic distance as a key determinant of the creativity of analogical mapping (i.e., more distant analogies are generally more creative). Here, we used functional magnetic resonance imaging to assess brain activity during an analogy generation task in which we varied the semantic distance of analogical mapping (as derived quantitatively from a latent semantic analysis). Data indicated that activity within an a priori region of interest in left frontopolar cortex covaried parametrically with increasing semantic distance, even after removing effects of task difficulty. Results implicate increased recruitment of frontopolar cortex as a mechanism for integrating semantically distant information to generate solutions in creative analogical reasoning.     

Rôle du contrôle exécutif dans le raisonnement par analogie chez l’enfant et le primate non humain

Analogical reasoning (AR) is a cornerstone of human cognition. Two main theories have historically been proposed to account for the ontogeny of AR. They propose that analogical skills are constrained by children's logical skills or limited knowledge of the relations to be considered. We adopt an alternative perspective in this review paper suggesting that AR abilities depend on the efficiency of executive control. We present convergent data collected in children and monkeys highlighting the role of three main executive functions: inhibitory control, cognitive flexibility and working memory updating. The analysis of children's reasoning suggests that the contribution of relational knowledge and executive control to analogical reasoning cannot be considered independently.     

提示对3～11岁儿童解决类比推理问题的影响

随机抽取360名3~11岁儿童,采用几何图形、关系图形、词语、数字、故事五种材料,考察提示对儿童类比推理的影响。结果发现:(1)提示对3~4岁和8~9岁儿童几何图形类比推理成绩有影响;提示对3~4岁和9~11岁儿童词语类比推理成绩有影响;提示对3~11岁儿童数字类比推理成绩均有影响;提示对3岁和8~11岁儿童关系图形类比推理成绩有影响;提示对3~4岁和8~11岁儿童故事类比推理成绩有影响;(2)提示使原本不会类比推理的3岁儿童能够初步进行类比推理。     

Constraints on Analogical Mapping: A Comparison of Three Models

Three theories of analogy have been proposed that are supported by computational models and data from experiments on human analogical abilities. In this article we show how these theories can be unified within a common metatheoretical framework that distinguishes among levels of informational, behavioral, and hardware constraints. This framework clarifies the distinctions among three computational models in the literature: the Analogical Constraint Mapping Engine (ACME), the Structure-Mapping Engine (SME), and the Incremental Analogy Machine (IAM). We then go on to develop a methodology for the comparative testing of these models. In two different manipulations of an analogical mapping task we compare the results of computational experiments with these models against the results of psychological experiments. In the first experiment we show that increasing the number of similar elements in two analogical domains decreases the response time taken to reach the correct mapping for an analogy problem. In the second psychological experiment we find that the order in which the elements of the two domains are presented has significant facilitative effects on the ease of analogical mapping. Of the three models, only IAM embodies behavioral constraints and predicts both of these results. Finally, the immediate implications of these results for analogy research are discussed, along with the wider implications the research has for cognitive science methodology.     

The impact of anxiety on analogical reasoning

The effect of state anxiety on analogical reasoning was investigated by examining qualitative differences in mapping performance between anxious and non-anxious individuals reasoning about pictorial analogies. The working-memory restriction theory of anxiety, coupled with theories of analogy that link complexity of mapping with working-memory capacity, predicts that high anxiety will impair the ability to find correspondences based on relations between multiple objects relative to correspondences based on overlap of attributes between individual objects. Anxiety was induced in one condition by a stressful speeded subtraction task administered prior to the analogy task. Anxious participants produced fewer relational responses and more attribute responses than did non-anxious participants, both in the absence of explicit instructions to find relational mappings (Experiment 1) and after receiving such instructions (Experiment 2). The findings support the postulated links among anxiety, working memory, and the ability to perform complex analogical mapping.     

Analogical Reasoning in Ethics

In this article I am concerned with analogical reasoning in ethics. There is no doubt that the use of analogy can be a powerful tool in our ethical reasoning. The importance of this mode of reasoning is therefore commonly accepted, but there is considerable debate concerning how its structure should be understood and how it should be assessed, both logically and epistemically. In this paper, I first explain the basic structure of arguments from analogy in ethics. I then discuss the diversity of analogical arguments that can be found in ethics. I analyse their structure, assess them from a logical viewpoint, and show how they can be epistemically challenged and defended. The result of this investigation is that, contrary to a commonly held view, analogical reasoning can be a logically valid type of ethical reasoning that can provide reasons for action that are not worse than the reasons provided by any other kind of practical reasoning.     

因果模型在类比推理中的作用

通过操纵因果模型的特征维度及推理方向, 探讨因果模型在类比推理中的作用。实验一探讨了当结果特征未知时进行类比推理的情况, 发现在一果多因时, 被试采用因果模型进行类比推理, 而在一因多果时, 被试同时采用因果模型和计算模型进行类比推理。实验二探讨当原因特征未知时进行类比推理的情况, 发现在一果多因和一因多果时, 被试均采用因果模型进行类比推理。结果表明：(1)当结果特征未知时, 人们会建构因果模型进行类比推理。且当因果模型和计算模型处于冲突情境时, 人们会采用因果模型进行类比推理; 但当因果模型和计算模型处于非冲突情境时, 人们会同时采用因果模型和计算模型。(2)当原因特征未知时, 即按照因果模型推理的难度增加时, 人们仍会建构因果模型进行类比推理。     

类比推理的影响因素及脑生理基础研究

类比推理是不同于演绎,也不同于归纳的一种独立的推理形式。作为人类认知发展的中心能力之一,类比推理已逐渐成为当代认知研究的一个活跃领域。研究表明类比推理不仅受顺序、因果结构、上下文连贯性等项目特征的影响,并且与加工速度、工作记忆等其它认知能力有密切关系。有关类比推理的神经影像研究则主要发现大脑左半球前部和后部区域的参与,似可进一步从脑生理水平表明类比推理与工作记忆存在密切关系。     

类比推理的认知过程与计算模型

该文主要论述了类比推理的认知过程及其计算模型。文章对类比推理的概念进行了分析,论述了类比推理的主要成分和认知过程,并进一步围绕类比推理的重要成分介绍了当前类比推理的主要实证研究及研究成果,在此基础上文章进一步概括了类比推理的主要计算模型。     

Automatic activation of categorical and abstract analogical relations in analogical reasoning

We examined activation of concepts during analogical reasoning. Subjects made either analogical judgments or categorical judgments about four-word sets. After each four-word set, they named the ink color of a single word in a modified Stroop task. Words that referred to category relations were primed (as indicated by longer response times on Stroop color naming) subsequent to analogical judgments and categorical judgments. This finding suggests that activation of category concepts plays a fundamental role in analogical thinking. When colored words referred to analogical relations, priming occurred subsequent to analogical judgments, but not to categorical judgments, even though identical four-word stimuli were used for both types of judgments. This finding lends empirical support to the hypothesis that, when people comprehend the analogy between two items, they activate an abstract analogical relation that is distinct from the specific content items that compose the analogy.     

Analogical reasoning in working memory: Resources shared among relational integration,interference resolution,and maintenance

We report a series of experiments using a pictorial analogy task designed to manipulate relational integration, interference resolution, and active maintenance simultaneously. The difficulty of the problems was varied in terms of the number of relations to be integrated, the need for interference resolution, and the duration of maintenance required to correctly solve the analogy. The participants showed decreases in performance when integrating multiple relations, as compared with a single relation, and when interference resolution was required in solving the analogy. When the participants were required to integrate multiple relations while simultaneously engaged in interference resolution, performance was worse, as compared with problems that incorporated either of these features alone. Maintenance of information across delays in the range of 1-4.5 sec led to greater decrements in visual memory, as compared with analogical reasoning. Misleading information caused interference when it had been necessarily attended to and maintained in working memory and, hence, had to be actively suppressed. However, sources of conflict within information that had not been attended to or encoded into working memory did not interfere with the ongoing controlled information processing required for relational integration. The findings provide evidence that relational integration and interference resolution depend on shared cognitive resources in working memory during analogical reasoning.     

注意分散对类比推理内隐加工的影响

通过两个实验分别考察在类比推理的检索阶段和评价阶段的注意分散对类比推理内隐加工的影响。实验一以83名大学生为被试,采用喜好判断范式探讨检索阶段注意分散对类比推理过程中直觉加工效应和逻辑加工效应的不同影响。实验二以80名大学生为被试,探讨评价阶段注意分散对类比推理过程中直觉加工效应和逻辑加工效应的不同影响。结果显示:检索阶段的注意分散对类比推理的内隐加工的影响不显著,评价阶段的注意分散对类比推理的内隐加工和外显加工均有显著影响。