Mental representation of logical connectives

Logical connectives, such as “AND”, “OR”, “IF . . . THEN”, and “IF AND ONLY IF” are ubiquitous in both language and cognition; however, reasoning with logical connectives is error-prone. We argue that some of these errors may stem from people's tendency to minimize the number of possibilities compatible with logical connectives and to construct a “minimalist” one-possibility representation. As a result, connectives denoting a single possibility (e.g., conjunctions) are likely to be represented correctly, whereas connectives denoting multiple possibilities (e.g., disjunctions or conditionals) are likely to be erroneously represented as conjunctions. These predictions were tested and confirmed in three experiments using different paradigms. In Experiment 1, participants were presented with a multiple-choice task and asked to select all and only those possibilities that would indicate that compound verbal propositions were true versus false. In Experiment 2, a somewhat similar task was used, except that participants were asked later to perform a cued recall of verbal propositions. Finally, Experiment 3 used an old/new recognition paradigm to examine participants' ability to accurately recognize different logical connectives. The results of the three experiments are discussed in relation to theories of representation of possibilities and theories of reasoning.     

ILLUSTRATING FEMINIST THEORY

Feminist theory holds that many of the pathological behaviors observed in patients result from their position in the social hierarchy. The goals of the demonstration detailed in this article are to show the impact of current gender roles on the psychological well-being of women and men and to generate understanding and discussion of the problems that relative status can create in the therapeutic relationship. This teaching demonstration draws parallels between the Zimbardo (1971) prison experiment and the impact that assignment to low-and high-power roles can have on the psychological health of women and men. Students are asked to rate men and women on some of the diagnostic criteria that the Diagnostic and Statistical Manual of Mental Disorders (American Psychiatric Association, 1994) associates with Axis I and II diagnoses. The students watch a video of Zimbardo's prison study and then rate the prisoners and guards. This demonstration provides another explanation for gender patterns in psychopathology by demonstrating that psychologically healthy White males will develop different patterns of psychopathology depending on whether they are placed in a dominant or subordinate role. When placed in the subordinate role, they exhibit behaviors typically seen in women clients; when placed in a dominant role they exhibit behaviors commonly associated with male clients. This exercise demonstrates the unhealthy nature of the gender roles for both women and men.