On the Referential Indeterminacy of Logical and Mathematical Concepts

Hartry Field has recently examined the question whether our logical and mathematical concepts are referentially indeterminate. In his view, (1) certain logical notions, such as second-order quantification, are indeterminate, but (2) important mathematical notions, such as the notion of finiteness, are not (they are determinate). In this paper, I assess Fields analysis, and argue that claims (1) and (2) turn out to be inconsistent. After all, given that the notion of finiteness can only be adequately characterized in pure second-order logic, if Field is right in claiming that second-order quantification is indeterminate (see (1)), it follows that finiteness is also indeterminate (contrary to (2)). After arguing that Field is committed to these claims, I provide a diagnosis of why this inconsistency emerged, and I suggest an alternative, consistent picture of the relationship between logical and mathematical indeterminacy.     

自然概念语义特征提取的范畴效应

本研究采用概念特征自由列举实验范式,考察三类范畴(动物、自然食物、人造物)自然概念的语义特征提取反应时间的范畴效应。结果表明,⑴语义特征提取的反应时间存在范畴效应:提取动物特征的时间显著短于提取自然食物特征的时间,提取自然食物特征的时间显著短于提取人造物特征的时间;⑵三类范畴的特征提取时间模式表现出相同的规律:先是显著降低(第1到第2个特征),然后持续升高(第2到第10个特征)。语义特征提取的范畴效应反映了语义记忆组织的范畴特异性,有必要进一步分析特征提取时间与特征类型、关联特征、独有特征之间的关系,以深入揭示语义特征提取范畴效应的产生机制。     

Social Concepts and Judgments: A Semantic Differential Analysis of the Concepts Feminist, Man, and Woman

Male and female participants  ( N = 274)  made judgments about the social concepts of feminist , man , and woman on 63 semantic differential items. Factor analysis identified three basic dimensions termed evaluative, potency, and activity as well as two secondary factors called expressiveness and sexuality. Results for the evaluative dimension showed that the concept feminist was rated negatively with male participants rating feminist more negatively than female participants. In terms of potency, feminist was judged higher than man whereas the concept woman was rated low on this dimension. Participants also judged the concept feminist as low in expressiveness and rated woman as the most expressive. Feminist received low ratings on the erotic-sexual dimension (sexuality) by female participants and negative sexuality ratings by men. These results are discussed in terms of social role theory, gender stereotypes, and the changes in women's roles and behavior.     

Assessing Students' Misclassifications of Physics Concepts: An Ontological Basis for Conceptual Change

Physics novices and experts solved conceptual physics problems involving light, heat, and electric current and then explained their answers. Novices were ninth-grade students with no background in physics; experts were two postgraduates in physics and two advanced physics graduate students. Problems were multiple choice, with one correct response and three alternative responses representing possible misconceptions. For each conceptual physics problem, an isomorphic material-substance problem was constructed by imagining a materialistic conception of the physics topic and creating the resulting version of the problem. In each physics problem, one of the incorrect choices corresponded to the correct choice in the isomorphic material-substance problem. The empirical question was whether novices would reason about the physics problem as if it were conceptually similar to the substance isomorph. This question was addressed by comparing subjects' responses in the problem pairs, as well as by examining their explanations concerning all problems. A content analysis of subjects' explanations revealed that physics novices were strongly inclined to conceptualize physics concepts as material substances, whereas expert protocols revealed distinctly nonmaterialistic representations. A theory of conceptual change involving ontologically distinct categories is substantiated by these findings.     

语言表达方式对自然概念语义提取的影响

采用词和图形的快速分类的方法。研究了语言表达方式对自然概念语义提取的影响。结果表明,概念名称中有上属标记有利于自然概念的语义提取,词的熟悉性和概念距其上属的语义距离对自然概念的语义提取有重要影响。显示了与科学概念的语义提取不同的情况。根据这些结果。作者提出了概念结构和提取的混合模型。     

Semantic Differential Investigation of Sexually Symbolic Concepts Using a Psychiatric Population

Masculinity-femininity ratings via the Semantic Differential of 18 concepts were made by 25 male and 25 female psychiatric patients. The psychoanalytic view that certain concepts symbolize masculinity or femininity did not receive unqualified support in this investigation. Objects such as “ship,” “oven,” and “room,” which psychoanalysts regard as feminine were rated masculine. Similarly, “umbrella,” “necktie,” and “hat,” considered masculine by psychoanalysts were rated feminine.     

语言表达方式对科学概念语义提取时间的影响

研究语言表达方式对科学概念语义提取的影响。结果表明,科学概念也具有一定的典型性效应。在词的快速分类和句子证实作业中,名称中有上属标记有利于概念的语义提取。     

Heroin Addicts' Views of Commonly Abused Drugs: A Semantic Differential Approach

52 heroin addicts were given a form of the Semantic Differential asking for their perceptions of heroin, methadone, LSD, amphetamines and marijuana. Marijuana was viewed most favorably, heroin least favorably. Views of heroin and marijuana were positively correlated; but not so heroin and methadone. There was a positive relationship between length of time on methadone maintenance and the potency score for heroin.     

A Further Investigation of Sexually Symbolic Concepts Using the Semantic Differential Technique

Fifty students responded to a semantic differential questionnaire designed to test the meaning of sexually symbolic concepts. Two measures were used: first, the mean potency score, and, second, the mean score on the masculine-feminine (M - F) subscale. It was found that a number of discrepancies occurred between (a) mean potency and mean M - F scores; (b) mean potency score and predictions based on psychoanalytic theory; and (c) mean M - F scores and predictions based on psychoanalytic theory. The results were interpreted within a learning theory framework in accord with Staats' (1968) theoretical formulation.     

The Referential Structure of the Affective Lexicon

A set of approximately 500 words taken from the literature on emotion was examined. The overall goal was to develop a comprehensive taxonomy of the affective lexicon, with special attention being devoted to the isolation of terms that refer to emotions. Within the taxonomy we propose, the best examples of emotion terms appear to be those that (a) refer to internal, mental conditions as opposed to physical or external ones, (b) are clear cases of stares, and (c) have affect as opposed to behavior or cognition as a predominant (rather than incidental) referential focus. Relaxing one or another of these constraints yields poorer examples or nonexamples of emotions; however, this gradedness is not taken as evidence that emotions necessarily defy classical definition.     

Explaining Gender Differences in Responses to Supportive Messages: Two Tests of a Dual-Process Approach

We propose a comprehensive explanation for gender differences in responses to supportive communication grounded in a dual-process theory of communication outcomes. Two studies confirmed consistent gender differences in responses by US college students to supportive communication and assessed the mediating effects of an ability factor (cognitive complexity) and two motivational factors (expressive and instrumental orientations) on situation elaboration and message evaluation. Study 1 focused on everyday comforting contexts (N?=?318), whereas Study 2 focused on bereavement (N?=?103). Both studies found that cognitive complexity mediated gender differences in situation elaboration and further found that cognitive complexity and expressive orientation collectively mediated gender differences in evaluative responses to supportive messages. Theoretical and pragmatic implications of the results are discussed.     

Animal Concepts Revisited: the use of Self- Monitoring as an Empirical Approach

Many psychologists and philosophers believe that the close correlation between human language and human concepts makes the attribution of concepts to nonhuman animals highly questionable. I argue for a three-part approach to attributing concepts to animals. The approach goes beyond the usual discrimination tests by seeking evidence for self-monitoring of discrimination errors. Such evidence can be collected without relying on language and, I argue, the capacity for error-detection can only be explained by attributing a kind of internal representation that is reasonably identified as a concept. Thus I hope to have shown that worries about the empirical intractability of concepts in languageless animals are misplaced. This revised version was published online in July 2006 with corrections to the Cover Date.     

Grounding Concepts: The Problem of Composition

In a recent book C.S. Jenkins proposes a theory of arithmetical knowledge which reconciles realism about arithmetic with the a priori character of our knowledge of it. Her basic idea is that arithmetical concepts are grounded in experience and it is through experience that they are connected to reality. I argue that the account fails because Jenkins’s central concept, the concept for grounding, is inadequate. Grounding as she defines it does not suffice for realism, and by revising the definition we would abandon the idea that grounding is experiential. Her account falls prey to a problem of which Locke, whom she regards as a source of inspiration was aware and which he avoided by choosing anti-realism about mathematics.     

Explaining change in psychology: The road not taken

I wish to express sincere thanks to the following persons who have given me the benefit of their comments and criticisms: Anthony S. Bryk, Renford Bamreough, Simon Blackburn, David Bloor, Jeremy Butterfield, Edward Craig, Jerry A. Fodor, Robert P. Gordon, P.M.S. Hacker, David Hansen, D.W. Hamlyn, Philip W. Jackson, Anthony Kenny, Peggy J. Miller, and Robert J. Richards. In addition, I gratefully acknowledge the support I received from a Spencer Seed Grant, University of Chicago, which allowed me to go to England in the summer of 1985 and discuss a version of this work with colleagues. Finally, I owe thanks to Benton Center for Curriculum and Instruction, University of Chicago, for various support services.