A Piagetian perspective on mathematical construction

In this paper, we offer a Piagetian perspective on the construction of the logico-mathematical schemas which embody our knowledge of logic and mathematics. Logico-mathematical entities are tied to the subject's activities, yet are so constructed by reflective abstraction that they result from sensorimotor experience only via the construction of intermediate schemas of increasing abstraction. The ‘axiom set’ does not exhaust the cognitive structure (schema network) which the mathematician thus acquires. We thus view ‘truth’ not as something to be defined within the closed ‘world’ of a formal system but rather in terms of the schema network within which the formal system is embedded. We differ from Piaget in that we see mathematical knowledge as based on social processes of mutual verification which provide an external drive to any ‘necessary dynamic’ of reflective abstraction within the individual. From this perspective, we argue that axiom schemas tied to a preferred interpretation may provide a necessary intermediate stage of reflective abstraction en route to acquisition of the ability to use formal systems in abstracto.     

Converging operations on a basic level in event taxonomies

Research on object concepts has identified one level of abstraction as "basic" in cognition and communication. We investigated whether concepts for routine social events have a basic level by replicating the converging operations used to investigate object concepts. In Experiment 1, subjects were presented with event names from a taxonomy and were asked to list the actions comprising the event. Many more actions were listed at the middle than at the highest taxonomic level, without a further increase at the most specific level, paralleling the pattern of superordinate-, basic-, and subordinate-level object concepts. From these action lists, brief stories were composed for each event. In Experiment 2, subjects made pairwise similarity judgments on the stories. The mean similarity of events increased with specificity, as expected. But differentiation of categories (within-category similarity compared to between-category similarity) was highest for super-ordinates, contrary to results with object categories. In Experiment 3, subjects were fastest in recognizing actions as belonging to events named at the basic level. In Experiment 4, subjects predominantly chose basic-level terms to name stories. We conclude that event taxonomies do show basic-level structure, albeit a less sharply defined and less stable structure than in object taxonomies. The benefits and hazards of extending models of object concepts to other entities, such as social events, are discussed.     

Acquiring English at different ages: The English displacement effect and other findings

An analysis of the language backgrounds of 237 persons in a psychology department subject pool is presented. Specific findings indicate that (a) only about two-thirds of the subjects were native speakers of English, (b) native English speakers can be divided into several different groups on the basis of bilingual background and age of acquisition of their second language, (c) the number of native English speakers who would be considered ideal for psycholinguistic experiments in English (e.g., monolinguals and bilinguals who acquired a second language in or after adolescence) is only about a third of the sample, (d) nonnative English speakers appear to have their native, non-English-language abilities reduced as a function of their acquisition of English; that is, English appears to displace other languages that a person knows (the English displacement effect), and (e) age of English acquisition is shown to be an important factor, by correlating negatively with rated English abilities and reported Scholastic Aptitude Test (SAT) scores, and positively with rated ability in a non-English language.Portions of this research were first presented at the 59th annual meeting of the Eastern Psychological Association in Buffalo, New York, April 1988. I gratefully thank Doris Aaronson for the numerous comments she made on earlier versions of this paper.     

The GRIMS. A psychometric instrument for the assessment of marital discord

Research in marital therapy has been disadvantaged by the lack of a good, short and recent psychometric questionnaire to objectively assess the state of a marriage for research, demographic and clinical purposes. The Golombok Rust Inventory of Marital State (GRIMS) is a companion questionnaire to the Golombok Rust Inventory of Sexual Satisfaction (GRISS), and concentrates on aspects other than the sexual in a dyadic relationship between two adults living together. It is a 28 item psychometrically constructed inventory designed to produce a single scale along which changes in a marriage may develop as marital therapy progresses. It has been shown to be valid for this purpose, and to have a good reliability.     

Deontic logic and the possibility of moral conflict

Standard dyadic deontic logic (as well as standard deontic logic) has recently come under attack by moral philosophers who maintain that the axioms of standard dyadic deontic logic are biased against moral theories which generate moral conflicts. Since moral theories which generate conflicts are at least logically tenable, it is argued, standard dyadic deontic logic should be modified so that the set of logically possible moral theories includes those which generate such conflicts. I argue that (1) there are only certain types of moral conflicts which are interesting, and which have worried moral theorists, (2) the modification of standard dyadic deontic logic along the lines suggested by those who defend the possibility of moral conflicts makes possible only uninteresting types of moral conflicts, and (3) the general strategy of piecemeal modification standard dyadic deontic logic is misguided: the possibility of interesting moral conflicts cannot be achieved in that way.     

Implicit learning: Indirect, not unconscious

Dienes and Berry (1997) argue that there really are two kinds of knowledge, implicit and explicit, that can be characterized through a subjective threshold. We argue that the subjective threshold does not separate two forms of knowledge, but instead two uses of knowledge, for two different purposes. With Neal and Hesketh (1997), we suggest that an understanding of learning will be better served by investigating the processing that occurs under various circumstances than by attempting to isolate learning that occurs with awareness from that which occurs without it.     

Book reviews

Modern American Religion, Vol. 3. Under God, Indivisible, 1941–1960 Martin E. Marty, 1996 Chicago: University of Chicago Press 548 pp. + xii. £27.96, US$34.95 ISBN 0–22–50898–6

Perspectives on New Religious Movements John A. Sauba, 1995 London: Geoffrey Chapman 240 pp., £12.99 (pb), £35.00 (hb) ISBN 0–225–66787–8 (pb),’ ISBN 0–225–66786‐X (hb)

New Religions and the New Europe Robert Towler, ed., 1995 Aarhus: Aarhus University Press 246 pp., £19.95 ISBN 87 7288 433 9

A New Dictionary of Religions John R. Hinnells, ed., 1995 Oxford: Blackwell 760 pp., US$74.95 (hb) ISBN 0–631–18139–3

Den Fremden verstehen: Eine Praktische Hermeneutik Theo Sundermeier, 1996 Göttingen: Vandenhoek & Ruprecht 260 pp. ISBN 3–525–01619–0

Religion and Mass Media: Audiences and Adaptations Daniel A. Stout & Judith M. Buddenbaum, eds, 1996 Thousand Oaks, California: Sage Publications 294 pp., £37.00 (hb), £18.50 (pb) ISBN 0–8039–7173–7 (hb), 0–8039–7174–5 (pb)

Contemporary Mainstream Religion: Studies from Humberside and Lincolnshire Peter G. Forster, ed., 1995 Aldershot: Avebury xxxvii +135 pp., £30.00 ISBN 1–8562–919–2

One Earth Many Religions: Multifaith Dialogue and Global Responsibility Paul F. Kntiter, 1995 Maryknoll, New York: Orbis xiv + 218 pp., US$17.00 ISBN 1–57075–037–8

A Wider Vision: A History of the World Congress of Faiths 1936–1996 Marcus Braybrooke, 1996 Oxford: Oneworld Publications 192 pp., £10.99, US$16.95 ISBN 1–85168–119–1

The Phenomenon of Teilhard: Prophet for a New Age David H. Lane, 1996 Macon, Georgia: Mercer University Press xvi +192 pp., US$21.95 ISBN 0–86554–498–0

The Wisdom of the Wyrd: Teachings for Today from our Ancient Past Brian Bates, 1996 London: Rider xiii +306 pp., £12.99 ISBN 0‐712E‐7277‐X

Desinformation als Methode. Die Bahā'ísmus‐Monographie des F. Ficicchia Udo Schaefer, Nicola Towfigh, Ulrich Gollmer, 1995 Hildesheim Georg Olms Verlag xiii + 685 pp., DM 65.00 (hb) ISBN 3–487–10041‐X

The New Latin American Mission History (Latin American Studies Series) Erick Langer & Robert H. Jackson, eds, 1995 Lincoln & London: University of Nebraska Press 212 pp., £15.95 (pb), £32.95 (hb) ISBN 0–8032–7953–1 (pb), ISBN 0–8032–2911–9 (hb)

Gender Rituals: Female Initiation in Melanesia Nancy C. Lutkehaus & Paul B. Roscoe, eds, 1995 New York Routledge 265 pp., £13.99 (pb), £37.50 (hb) ISBN 0–415–91107–9 (pb), ISBN 0–415–91106–0 (hb)

Daughters of Anowa: African Women and Patriarchy Mercy Amba Oduyoye, 1995 Maryknoll, New York: Orbis Books 229 pp., US$18.00 (pb) ISBN 0–88344–999–4

Christianity in Africa: The Renewal of a Non‐Western Religion Kwame Bediako, 1995 Edinburgh: Edinburgh University Press; Maryknoll: Orbis Books 276 pp., £16.95 ISBN 0–7486–0625–4

The Christian Heritage in the Holy Land Anthony O'Mahony with Goran Gunner & Kevork Hintuan, eds, 1995 Epping, Essex: Scorpion Cavendish xi + 320 pp., £15.95 ISBN 1–900269–06–6 (pb)

Patterns of the Sacred: English Protestant and Russian Orthodox Pilgrims of the Nineteenth Century Ruth & Thomas Hummel, 1995 Epping, Essex: Scorpion Cavendish ix + 76 pp., £10.00 ISBN 1–900269–08–2 (pb)

Pilgrimage Past and Present: Sacred Travel and Sacred Space in the World Religions Simon Coleman & John Elsner, 1995 London: British Museum Press 240 pp., Illus., £20.00 ISBN 0–7141–1738–2     

Individual Differences in the Pursuit of Self-Uniqueness Through Consumption

In this paper, we report an original study of the relationships between self-attributed need for uniqueness and several consumer dispositions. The results indicate that the self-attributed need for uniqueness is related to consumers' desires for scarce, innovative, and customized products and to consumers' preferences for unusual shopping venues, but not to consumers' susceptibilities to normative influence. Moreover, we find that these relationships are mediated by a latent variable reflecting individual differences in the tendency to pursue uniqueness through consumption. The theoretical and practical implications of these results are discussed along with directions for future research.     

Influences of Destructive Personality Information on Decision Making1

This study examined the effects of information about a landlord's personality on juror judgments for a landlord-tenant civil trial. The personality information manipulated was specifically relevant to destructive acts. Alternative versions of witness testimony were used to describe a landlord either high or low on need for power. treating people as objects, and negative life themes. This information strongly influenced aspects of the schema for this case constructed by the individual mock jurors. Destructive personality information caused dislike of the landlord and lowered the credibility of his story. If the landlord treated people as objects, the credibility of the tenant's story and positive evaluations of the tenant increased. Juror judgments about relative fault were strongly shifted by destructive personality information. An empirical model for juror decisions indicated a dynamic interplay of story components and fault judgments.