Relational and Contextual Reasoning: Philosophical and Logical Aspects

This essay is a commentary on Helmut Reich's recently published book on relational and contextual reasoning (RCR). Reich's ideas are relevant in contexts of conflict, and they enable us to consider the notion of objectivity differently. He makes us see the constraints in individual perspectives. His book also can enable people to formulate problems of human concern in a wider and richer framework, which may lead to solutions not obtainable on the basis of binary logic.     

Developing the Horizons of the Mind: Reich's Response to the Commentators

Some aspects of my writing the monograph Developing the Horizons of the Mind (2002) are highlighted, the central characteristics of relational and contextual reasoning (RCR) are explained, and the contributions to this symposium by John Albright, Varadaraja V. Raman, and John Teske are discussed.     

演绎推理是基于规则还是模型?——来自空间推理的证据

对空间推理的研究有助于探明其加工机制以及验证心理逻辑理论和心理模型理论。行为研究通过考察多种影响空间推理的因素(如心理模型数量、前提的对象顺序等)证实了心理模型理论的预测。脑成像的研究表明,空间推理活动主要激活枕-顶-额脑区网络,顶区可能是推理的特异性脑区。研究的结果同样支持心理模型理论。未来的研究应该整合演绎推理的不同理论,加强对不同演绎推理任务的研究,并将脑成像技术与EEG或ERP结合起来,进一步探明人类空间推理的机制。     

From mere coincidences to meaningful discoveries

People's reactions to coincidences are often cited as an illustration of the irrationality of human reasoning about chance. We argue that coincidences may be better understood in terms of rational statistical inference, based on their functional role in processes of causal discovery and theory revision. We present a formal definition of coincidences in the context of a Bayesian framework for causal induction: a coincidence is an event that provides support for an alternative to a currently favored causal theory, but not necessarily enough support to accept that alternative in light of its low prior probability. We test the qualitative and quantitative predictions of this account through a series of experiments that examine the transition from coincidence to evidence, the correspondence between the strength of coincidences and the statistical support for causal structure, and the relationship between causes and coincidences. Our results indicate that people can accurately assess the strength of coincidences, suggesting that irrational conclusions drawn from coincidences are the consequence of overestimation of the plausibility of novel causal forces. We discuss the implications of our account for understanding the role of coincidences in theory change.     

"What if…": The Use of Conceptual Simulations in Scientific Reasoning

The term conceptual simulation refers to a type of everyday reasoning strategy commonly called "what if" reasoning. It has been suggested in a number of contexts that this type of reasoning plays an important role in scientific discovery; however, little direct evidence exists to support this claim. This article proposes that conceptual simulation is likely to be used in situations of informational uncertainty, and may be used to help scientists resolve that uncertainty. We conducted two studies to investigate the relationship between conceptual simulation and informational uncertainty. Study 1 was an in vivo study of expert scientists; the results suggest that scientists do use conceptual simulation in situations of informational uncertainty, and that they use conceptual simulation to make inferences from their data using the analogical reasoning process of alignment by similarity detection. Study 2 experimentally manipulated experts' level of uncertainty and provides further support for the hypothesis that conceptual simulation is more likely to be used in situations of informational uncertainty. Finally, we discuss the relationship between conceptual simulation and other types of reasoning using qualitative mental models.     

A re-investigating of the religious orientation-moral reasoning relationship: a relational developmental systems perspective

This study re-investigates the relationship between religious orientation and Kohlberg’s moral reasoning among students at a midwestern (USA) university. Multiple regression analyses revealed that quest-oriented religiosity was significantly positively related to principled moral reasoning, as consistently found in previous studies, while intrinsic religious orientation showed no relation to principled moral reasoning. We discuss our findings through a lens of relational developmental systems theory, suggesting that a more integrative measure is needed to better understand the complex relationship between religious orientation and moral reasoning.     

A Complete Axiom System for Polygonal Mereotopology of the Real Plane

This paper presents a calculus for mereotopological reasoning in which two-dimensional spatial regions are treated as primitive entities. A first order predicate language with a distinguished unary predicate c(x), function-symbols , · and – and constants 0 and 1 is defined. An interpretation for is provided in which polygonal open subsets of the real plane serve as elements of the domain. Under this interpretation the predicate c(x) is read as region x is connected and the function-symbols and constants are given their meaning in terms of a Boolean algebra of polygons. We give an alternative interpretation based on the real closed plane which turns out to be isomorphic to A set of axioms and a rule of inference are introduced. We prove the soundness and completeness of the calculus with respect to the given interpretation.     

Just Plain "Ought'

Is there any sense to the idea of an ``ought''that is not relative to any particularnormative framework? This ``ought'' would not bea moral, prudential, legal, aesthetic, orreligious ``ought,'' but rather an unqualified or just plain ``ought.'' Thispaper (i) argues for the existence andusefulness of just plain ``ought''; (ii) locatesthe concept of just plain ``ought'' within amajor strand in the history of ethics (namely,the perennial attempt to demonstrate thatmorality and prudence are in harmony); and(iii) challenges David Copp's recent attempt toshow that in fact there is no such thing asjust plain ``ought.'' A theory of just plain``ought'' emerges along the way.     

Moral Reasoning Effects on Political Participation

In this study, respondents who agreed to participate in a computer-administered interview were presented with information and questions about public interest groups, followed by the Defining Issues Test of moral reasoning (DIT). Respondents with high DIT scores stressed morally central over morally peripheral considerations in deciding whether to participate in public interest groups. Less sophisticated reasoners showed the opposite pattern. Morally central considerations also had a much greater impact on the probability that sophisticated respondents would attempt to participate in public interest groups after completing the interview. The analysis included controls for potential confounding variables such as cognitive ability, education, prior political participation, and gender. The findings imply motivational differences between advantaged and disadvantaged population groups. Such differences may help to account for the differing strategies and successes of political organizations mobilizing these groups.