THE DOCTRINE OF THE TRINITY AS A MODEL FOR STRUCTURING THE RELATIONS BETWEEN SCIENCE AND THEOLOGY

Abstract. A strategy for deeding systematically with such complex relationships as those between science and theology is presented after a brief overview of the historical record and illustrated in terms of the concept of divinity. The application of that strategy to the title relationships yields a multilogical/multilevel solution which presents certain analogies to or isomorphisms with the doctrine of the Trinity. These concern mainly the multilogical/multilevel character of both conceptualizations and the relational and contextual reasoning required to conceive them. Furthermore, certain characteristics of the doctrine facilitate the dialogue between theologians and scientists on account of their similarity with such scientific concepts as diversity in unity, multiplicity of relationships, nonseparability, and nonclassical logic.     

Effects of a variable-ratio conditioning history on sensitivity to fixed-interval contingencies in rats.

We investigated the possibility that human-like fixed-interval performances would appear in rats given a variable-ratio history (Wanchisen, Tatham, & Mooney, 1989). Nine rats were trained under single or compound variable-ratio schedules and then under a fixed-interval 30-s schedule. The histories produced high fixed-interval rates that declined slowly over 90 sessions; differences as a function of the particular history were absent. Nine control animals given only fixed-interval training responded at lower levels initially, but rates increased with training. Despite differences in absolute rates, rates within the intervals and postreinforcement pauses indicated equivalent development of the accelerated response patterns suggestive of sensitivity to fixed-interval contingencies. The finding that the histories elevated rates without retarding development of differentiated patterns suggests that the effective response unit was a burst of several lever presses and that the fixed-interval contingencies acted on these units in the same way as for single responses. Regardless of history, the rats did not manifest the persistent, undifferentiated responding reported for humans under comparable schedules. We concluded that the shortcomings of animal models of human fixed-interval performances cannot be easily remedied by including a variable-ratio conditioning history within the model.     

Residualanalysis in the polytomous rasch model

Residuals for check of model fit in the polytomous Rasch model are examined. Comparisons are made between using counts for all response pattern and using item totals for score groups for the construction of the residuals. Comparisons are also, for the residuals based on score group totals, made between using as basis the item totals, or using the estimated item parameters. The developed methods are illustrated by two examples, one from a psychiatric rating scale, one from a Danish Welfare Study.     

Some neglected problems in IRT

The paper addresses three neglected questions from IRT. In section 1, the properties of the “measurement” of ability or trait parameters and item difficulty parameters in the Rasch model are discussed. It is shown that the solution to this problem is rather complex and depends both on general assumptions about properties of the item response functions and on assumptions about the available item universe. Section 2 deals with the measurement of individual change or “modifiability” based on a Rasch test. A conditional likelihood approach is presented that yields (a) an ML estimator of modifiability for given item parameters, (b) allows one to test hypotheses about change by means of a Clopper-Pearson confidence interval for the modifiability parameter, or (c) to estimate modifiability jointly with the item parameters. Uniqueness results for all three methods are also presented. In section 3, the Mantel-Haenszel method for detecting DIF is discussed under a novel perspective: What is the most general framework within which the Mantel-Haenszel method correctly detects DIF of a studied item? The answer is that this is a 2PL model where, however, all discrimination parameters are known and the studied item has the same discrimination in both populations. Since these requirements would hardly be satisfied in practical applications, the case of constant discrimination parameters, that is, the Rasch model, is the only realistic framework. A simple Pearsonx ² test for DIF of one studied item is proposed as an alternative to the Mantel-Haenszel test; moreover, this test is generalized to the case of two items simultaneously studied for DIF.     

The dark side of fire: Postmodern critique and the elusiveness of the ideological

As scholars commonly maintain, the coming of modernity raised the stakes regarding the pursuit of objective truth and inaugurated the critique of error, unfounded beliefs, prejudice, and ideological interest. In our times, postmodernism has turned the weapons of critique against modernity itself and promoted the wholesale rejection of reason; in the aftermath, without any appraisal criteria left, ideological opinions keep growing in numbers, get decentralized and multifaceted , and are considered as equivalent voices expressing the different experiences of individuals and local groups. But is this inward and self-destructive turn of critique warranted? Unpacking the relevant arguments one finds many contradictions inside postmodernism, derivative of its peculiar antinomial relations to modernity/modernism. A discussion of the various meanings and forms of the notion of meta-narrative demonstrates the weaknesses of both the absolutist (modernist) and radical relativist (postmodernist) positions and points the way toward a moderate, critico-pragmatic understanding of the relationships between, on the one hand, knowledge and critique and, on the other, ideology.     

Woman and the gift of reason

An incidental extension of the central domain of argumentation theory with non-classical ways of constructing arguments seems to automatically raise a question that is otherwise rarely posed, namely whether or not it is useful to consider the sex of the arguer. This question is usually posed with regard to argumentation by women in particular. Do women rely more, or differently than men do on non-canonical modes of reasoning stemming from the realm of the emotional, physical and intuitive, instead of the logical? One may simply refer this question to folk-linguistics. One may also take the question seriously, given the findings on women's linguistic behaviour, and for various other reasons that will be explained below.Section 1 sums up the most frequently quoted differences in language use between women and men. This is followed by a non-exhaustive, interdisciplinary review of studies on male/female differences in verbal and written argumentation.Section 2 discusses the role of language and texts in generating and maintaining ideas on gender. These gender messages not only influence the actual argumentation behaviour of women and men, but also the way such behaviour is valued.Section 3 subsequently shows that our ideas on rationality are gendered, and therefore also our ideas on the proper central domain of argumentation theory.Section 4 briefly reflects on why this kind of wrong question about the reasoning of women should sometimes be addressed seriously anyway.