The approximate number system (ANS) enables organisms to represent the approximate number of items in an observed collection, quickly and independently of natural language. Recently, it has been proposed that the ANS goes beyond representing natural numbers by extracting and representing rational numbers (Clarke & Beck, 2021a). Prior work demonstrates that adults and children discriminate ratios in an approximate and ratio-dependent manner, consistent with the hallmarks of the ANS. Here, we use a well-known “connectedness illusion” to provide evidence that these (...) ratio-dependent ratio discriminations are (a) based on the perceived number of items in seen displays (and not just non-numerical confounds), (b) are not dependent on verbal working memory, or explicit counting routines, and (c) involve representations with a part-whole (or subset-superset) format, like a fraction, rather than a part-part format, like a ratio. These results vindicate key predictions of the hypothesis that the ANS represents rational numbers. (shrink)

Psychological research on people’s understanding of natural language connectives has traditionally used truth table tasks, in which participants evaluate the truth or falsity of a compound sentence given the truth or falsity of its components in the framework of propositional logic. One perplexing result concerned the indicative conditional if A then C which was often evaluated as true when A and C are true, false when A is true and C is false but irrelevant“ (devoid of value) when A is (...) false (whatever the value of C). This was called the “psychological defective table of the conditional.” Here we show that far from being anomalous the “defective” table pattern reveals a coherent semantics for the basic connectives of natural language in a trivalent framework. This was done by establishing participants’ truth tables for negation, conjunction, disjunction, conditional, and biconditional, when they were presented with statements that could be certainly true, certainly false, or neither. We review systems of three-valued tables from logic, linguistics, foundations of quantum mechanics, philosophical logic, and artificial intelligence, to see whether one of these systems adequately describes people’s interpretations of natural language connectives. We find that de Finetti’s (1936/1995) three-valued system is the best approximation to participants’ truth tables. (shrink)

Why do we formulate arguments? Usually, things such as persuading opponents, finding consensus, and justifying knowledge are listed as functions of arguments. But arguments can also be used to stimulate reflection on one’s own reasoning. Since this cognitive function of arguments should be important to improve the quality of people’s arguments and reasoning, for learning processes, for coping with “wicked problems,” and for the resolution of conflicts, it deserves to be studied in its own right. This contribution develops first steps (...) towards a theory of reflective argumentation. It provides a definition of reflective argumentation, justifies its importance, delineates it from other cognitive functions of argumentation in a new classification of argument functions, and it discusses how reflection on one’s own reasoning can be stimulated by arguments. (shrink)

: The natural philosopher Michael Faraday and the psychologist Jean Piaget experimented directly with natural phenomena and children. While Faraday originated evidence for spatial fields mediating force interactions, Piaget studied children's cognitive development. This paper treats their experimental processes in parallel, taking as examples Faraday's 1831 investigations of water patterns produced under vibration and Piaget's interactions with his infants as they sought something he hid. I redid parts of Faraday's vibrating fluid activities and Piaget's hiding games. Like theirs, my experiences (...) showed that incomplete observations and confusions accompanied—and facilitated —experimental developments. While working with things in their hands, these experimenters' minds were also engaged, inferring new, more coherent understandings of the behaviors under study. Transitory ripples disclosed distinct patterns; infants devised more productive search methods. From the ripples, Faraday discerned an oscillatory condition that informed his subsequent speculations about light. From the infant search, Piaget identified experimenting as a child's means of developing self and world, later envisioning its infusion into education. Taken together, these two stories demonstrate that cognitive capacities emerge in the actual process of experimenting. This finding eclipses the historical context in its implications for education today. When learners pursue their own experiments, their minds develop. (shrink)

The Model of Hierarchical Complexity is introduced in terms of its main concepts, background, and applications. As a general, quantitative behavioral developmental theory, the Model enables examination of universal patterns of evolution and development. Behavioral tasks are definable and their organization of information in increasingly greater hierarchical, or vertical, complexity is measurable. Fifteen orders of hierarchical complexity account for task performances across domains, ranging from those of machines to creative geniuses. The four most complex orders are demonstrated by postformal stages (...) of thought, which measure beyond formal operations, the highest stage found by Piaget for adults. (shrink)

Hay doble pulsión en el centro de la discusión del razonamiento deductivo. Una conduce aparentemente a la abstracción y dominios arbitrarios, mientras que la otra conduce a la concreción y la dependencia del contenido. El objetivo de esta investigación es diseñar, aplicar y validar un instrumento de evaluación que nos permita corroborar si el razonamiento deductivo maneja reglas lógicas o contenidos. La muestra de estudio se compuso de 80 participantes (edad 18-77 años). El test consta de 60 ítems categorizados en: (...) formalidad, integrabilidad, complejidad y modalidad. Los resultados ponen de manifiesto la fiabilidad del test de razonamiento deductivo con un alpha de Cronbach. 775 y con un índice de validación. 850 para el índice de inteligencia no verbal (INV) del RIAS. Cómo conclusión inferimos que el razonador deductivo no dispone de un cuerpo preciso de reglas generales deductivas, sino que usa colecciones de reglas heurísticas cada vez menos abstractas. (shrink)

Emotion Review, Volume 14, Issue 1, Page 43-54, January 2022. This article reviews literature in composition studies since affective science's emergence in the 1980s. It focuses on composition studies’ history of adopting findings and theories from affective science, and distinguishes trends in how the field applies those elements in theoretical versus pedagogical contexts. While composition studies’ adoption of affective science in its theorizing has helped the field progress toward a “complete psychology of writing,” affective science's influence on classroom practices has (...) not been so clear cut or direct. However, affective science is a fast-growing, liberal, and multidisciplinary field. As it progresses, composition studies continues to embrace its concepts and theories. This review notes the expectations and limitations developing through this dynamic interdisciplinary relationship. (shrink)

(2008). Editors' Introduction to the Special Issue on Postformal Thought and Hierarchical Complexity. World Futures: Vol. 64, Postformal Thought and Hierarchical Complexity, pp. 297-304.

How is cultural progress possible? Historically, no other animal has progressed as humans have. Conventional wisdom suggests that by having language, people accumulate knowledge, which produces progress. Such Formal stage 10 wisdom begs fundamental questions. Thus, we assert the cultural necessity of levels of support, or scaffolding, for people to develop higher stages of hierarchical complexity. The resulting, wider accessibility to higher-stage action and knowledge, which requires higher stages of development to understand, enables social and scientific progress. With memes and (...) downward assimilation, larger proportions of society gain access to advanced thinking with support, in turn enabling cultural progress. (shrink)

The four stages of postformal thought are Systematic, Metasystematic, Paradigmatic, and Cross-Paradigmatic. Each successive stage is more hierarchically complex than the one that precedes it. Each stage uses the elements formed at the previous stage to construct more hierarchically complex elements (e.g., metasystems, paradigms). An actual instrument constructed using the Model of Hierarchical Complexity illustrates the progression in hierarchical complexity. Another example illustrates the nonlinear nature of hierarchical complexity. The distinct tasks of the four stages are described. Postformal thought benefits (...) interpersonal, societal, and academic endeavors by virtue of the kinds of tasks performed at each stage. (shrink)

This monograph discusses the question of what it is to be a reason – mainly in practical ethics – and proposes an original contribution to metaethics.It critically examines theories of metaethical realism, constructivism and error theory and identifies several misunderstandings or unclarities in contemporary debates. Based on this examination, the book suggests a distinction between a conceptual question, that can be answered by pure first-personal thinking, and a material question, that targets responses to reasons as a natural phenomenon in space (...) and time and that can be answered by help of the sciences. While this book defends a sharp distinction between these approaches, it also argues that the insights gained by the distinct approaches can be fruitfully integrated into a comprehensive picture.The comprehensive picture promoted in this book, based on both philosophical analysis and resources from psychology and cognitive science, is a picture of reasons as items in a collective archive of mind – reconfiguring the “domain of reasons” as a collectively established and socially cultivated fund of considerations with normative weight. The developed Collective Archive View combines Reasons Fundamentalism as an answer to the conceptual question, with a social ontological proposal, similar to Haslanger’s critical realism, as an answer to the material question.Thereby, it introduces central ideas from the field of social metaphysics into metaethics. At the same time, it offers a way of settling some controversies within metaethics, going on between proponents of Reasons Fundamentalism and Constitutivism, realism and constructivism, as well as proponents of mind-dependence and mind-independence of normative facts. Finally, the proposal enables us to envision and conceptualize genuine normative change within a metaethical theory. (shrink)

The field of political psychology, like the social sciences more generally, is being challenged. New theoretical direction is being demanded from within and a greater epistemological sophistication and ethical relevance is being demanded from without. In response, an outline for a reconstructed political psychology is offered here. To begin, a theoretical framework for a truly integrative political psychology is sketched. In the attempt to transcend the reductionist quality of cross-disciplinary or multidisciplinary inquiry, the theoretical approach offered here emphasizes the dually (...) structured quality of social life as the singular product of both organizing social structures and defining discourse communities on the one hand and motivated, thinking individuals on the other. To further this theoretical effort, meta-theoretical considerations are addressed. The modernist-postmodernist debate regarding the status of truth and value is used as a point of departure for constructing the epistemological foundation for political psychology. In this light, structural pragmatic guidelines for theory construction, empirical research and normative inquiry are presented. While the focus remains on political psychology in particular, it is assumed that the criticisms of present research and the suggestions for future inquiry apply to the social sciences more generally. (shrink)

At present, many countries have lowered the minimum age of criminal responsibility to deal with the trend of juvenile crime. In practical terms, whether countries advocate for lowering the age of criminal responsibility along with early puberty, or regulating the minimum age of juvenile criminal responsibility through their policies, their deep-rooted hypothesis is that age is tied to adolescents’ psychological growth, and, with the rise in age, the capacity for dialectical thinking, self-control, and empathy gradually improves. With this study, we (...) aimed to test whether this hypothesis is valid. The participants were 3,208 students from junior high school, senior high school, and freshman in the S province of the People’s Republic of China. We subjected the gathered materials to independent-samples t-tests, one-way analysis of variance, linear regression analysis, and Bonferroni post hoc test. The influence of the age variable upon dialectical thinking, self-control, and empathy was significant, but only empathy was positively correlated with age variable ; dialectical thinking ability, and self-control ability were negatively correlated with the age variable. Bonferroni post hoc test confirmed these findings. Therefore, we concluded the following: Juvenile criminal responsibility, based on the capacity for dialectical thinking, self-control, and empathy, is not positively correlated with age. Age is not the only basis on which to judge a juvenile’s criminal responsibility. More research that directly links age differences in brain structure and function to age differences in legally relevant capacities and capabilities is needed. Political countries should appropriately raise the minimum age of criminal responsibility and adopt the doli incapax principle in the judicial process. (shrink)

Inquiry-based learning has the potential to foster conceptual change, but whether it can induce an advancement in strategy use is not yet known. Such an advancement seems plausible, because conceptual change can be reflected in the use of new strategies. Whether inquiry-based learning leads to advancement in strategy use can be tested with strategy-based tests, such as the balance beam test. Distinct strategies have been proposed and identified for this test. Therefore, the present study compared response patterns on the balance (...) beam test before and after an inquiry-based lesson. The experimental condition completed a digital inquiry-based lesson about the balance beam ( n = 113), and the control condition completed a similar inquiry-based lesson but investigated a different topic ( n = 44). The participants were aged 8–13 years old and were unfamiliar with the law of moments. The balance beam test (pretest and posttest) consisted of 25 items. Overall accuracy in solving balance beam problems improved after the inquiry-based lesson in the balance beam (BB) condition but not in the control condition. Classes, identified with latent transition analysis (LTA), appeared to be globally in line with previously identified strategies in the balance beam test. Condition was entered as a covariate in the LTA to identify which changes in strategy use could be attributed to the experimental intervention. First, changes from pretest to posttest were found, which supported that a change in strategy use occurred in some children. Second, there were more improvements in the BB condition, and these improvements indicated larger gains compared to the control condition. This means that in science education, it is important to map out prior knowledge and its effect on learning paths. Overall, results suggested that conceptual change could be measured as a change in strategy use and modeled with LTA to reveal that 26% of the children showed conceptual change after a single inquiry-based lesson. (shrink)

The evolution of humans required performing increasingly hierarchically complex tasks within multiple domains. Hierarchical complexity increases task by task. Tasks occur within, and differ by, determinable domains, their stages of performance measurable using the Model of Hierarchical Complexity. How well one performs within single and multiple domains is considered to indicate intelligence. Original task-initiation is more difficult than imitational learning and can create new domains. Levels of support reduce task difficulty, increasing performance. Task-performance may be generalized to other domains. Stages (...) of developing tools and empathy are presented to demonstrate domains' roles in the evolution of human intelligence. (shrink)

Despite the multiplicity of constructions of childhood in various disciplines, the prevalent view is that children are incompetent in the sense of lacking reason, maturity, or independence. In this paper, I first examine how this dominant view is constructed in the fields of philosophy and psychology, highlighting the perspectives of Plato, Aristotle, John Locke, John Stuart Mill, and Jean Piaget. Then, following Jacques Derrida who conceives justice as a source of meaning for deconstruction, I deconstruct several of the dominant constructions (...) and argue that they do not do children justice. To return justice to childhood, I suggest that childhood should be regarded as a self-contained state with distinctive features that are worthy of consideration in their own right rather than as an incomplete state of incompetence relative to adulthood that is considered a complete state of humans, while adulthood should be regarded as a never-ending process of becoming mature that includes rather than excludes childhood. Moreover, I suggest that both the absolute denial of adult rights to children and the naturalization of childhood in developmental psychology as a biologically determined and culturally universal stage of irrationality should be challenged. (shrink)