Dienes & Perner (D&P) argue that nondeclarative knowledge can take multiple forms. We provide empirical support for this from two related lines of research about the development of mathematical reasoning. We then describe how different forms of procedural and declarative knowledge can be effectively modeled in Anderson's ACT-R theory, contrasting this computational approach with D&P's logical approach. The computational approach suggests that the commonly observed developmental progression from more implicit to more explicit knowledge can be viewed as a consequence of (...) accumulating and strengthening mental representations. (shrink)

Gesture does not have a fixed position in the Dienes & Perner framework. Its status depends on the way knowledge is expressed. Knowledge reflected in gesture can be fully implicit (neither factuality nor predication is explicit) if the goal is simply to move a pointing hand to a target. Knowledge reflected in gesture can be explicit (both factuality and predication are explicit) if the goal is to indicate an object. However, gesture is not restricted to these two extreme positions. When (...) gestures are unconscious accompaniments to speech and represent information that is distinct from speech, the knowledge they convey is factuality-implicit but predication-explicit. (shrink)

According to the SIMS model, mimicry and simulation contribute to perceivers' understanding of smiles. We argue that similar mechanisms are involved in comprehending the hand gestures that people produce when speaking. Viewing gestures may elicit overt mimicry, or may evoke corresponding simulations in the minds of addressees. These real or simulated actions contribute to addressees' comprehension of speakers' gestures.

Previous work has investigated adults' knowledge of principles for arithmetic with positive numbers (Dixon, Deets, & Bangert, 2001). The current study extends this past work to address adults' knowledge of principles of arithmetic with a negative number, and also investigates links between knowledge of principles and problem representation. Participants (N = 44) completed two tasks. In the Evaluation task, participants rated how well sets of equations were solved. Some sets violated principles of arithmetic and others did not. Participants rated non‐violation (...) sets higher than violation sets for two different principles for subtraction with a negative number. In the Word Problem task, participants read word problems and set up equations that could be used to solve them. Participants who displayed greater knowledge of principles of arithmetic with a negative number were more likely to set up equations that involved negative numbers. Thus, participants' knowledge of arithmetic principles was related to their problem representations. (shrink)

This study investigated the roles of problem structure and strategy use in problem encoding. Fourth‐grade students solved and explained a set of typical addition problems (e.g., 5 + 4 + 9 + 5 = _) and mathematical equivalence problems (e.g., 4 + 3 + 6 = 4 + _ or 6 + 4 + 5 = _ + 5). Next, they completed an encoding task in which they reconstructed addition and equivalence problems after viewing each for 5 s. Equivalence problems (...) of the form 4 + 3 + 6 = 4 + _ overlap with a perceptual pattern found in traditional arithmetic problems (i.e., answer blank in final position), and students' encoding was poorest on problems of this type. Individual differences in encoding the equivalence problems were related to variations in strategy use. Some students solved blank‐final equivalence problems using the standard arithmetic strategy of performing all given operations on all given numbers. These students made more errors in encoding problem structure, but fewer errors in encoding the numbers, than did students who solved the problems using correct or other incorrect strategies. Moreover, students who expressed many strategies for solving the blank‐final equivalence problems made fewer errors in encoding problem structure, but more errors in encoding the numbers, than did students who expressed only a single strategy. Results highlight that encoding is intended to guide action and that prior experience can simultaneously facilitate and interfere with accurate encoding. (shrink)

This article explores the complementary strengths and weaknesses of grounded and abstract representations in the domain of early algebra. Abstract representations, such as algebraic symbols, are concise and easy to manipulate but are distanced from any physical referents. Grounded representations, such as verbal descriptions of situations, are more concrete and familiar, and they are more similar to physical objects and everyday experience. The complementary computational characteristics of grounded and abstract representations lead to trade‐offs in problem‐solving performance. In prior research with (...) high school students solving relatively simple problems, Koedinger and Nathan (2004) demonstrated performance benefits of grounded representations over abstract representations—students were better at solving simple story problems than the analogous equations. This article extends this prior work to examine both simple and more complex problems in two samples of college students. On complex problems with two references to the unknown, a “symbolic advantage” emerged, such that students were better at solving equations than analogous story problems. Furthermore, the previously observed “verbal advantage” on simple problems was replicated. We thus provide empirical support for a trade‐off between grounded, verbal representations, which show advantages on simpler problems, and abstract, symbolic representations, which show advantages on more complex problems. (shrink)

A common practice in textbooks is to introduce concepts or strategies in association with specific people. This practice aligns with research suggesting that using “real-world” contexts in textbooks increases students’ motivation and engagement. However, other research suggests this practice may interfere with transfer by distracting students or leading them to tie new knowledge too closely to the original learning context. The current study investigates the effects on learning and transfer of connecting mathematics strategies to specific people. A total of 180 (...) college students were presented with an example of a problem-solving strategy that was either linked with a specific person or presented without a person. Students who saw the example without a person were more likely to correctly transfer the novel strategy to new problems than students who saw the example presented with a person. These findings are the first evidence that using people to present new strategies is harmful for learning and transfer. (shrink)

ABSTRACTRecognising a facial expression is more difficult when the expresser's body conveys incongruent affect. Existing research has documented such interference for universally recognisable bodil...

This study investigated the cognitive processes involved in inductive reasoning. Sixteen undergraduates solved quadratic function–finding problems and provided concurrent verbal protocols. Three fundamental areas of inductive activity were identified: Data Gathering, Pattern Finding, and Hypothesis Generation. These activities are evident in three different strategies that they used to successfully find functions. In all three strategies, Pattern Finding played a critical role not previously identified in the literature. In the most common strategy, called the Pursuit strategy, participants created new quantities from (...) x and y, detected patterns in these quantities, and expressed these patterns in terms of x. These expressions were then built into full hypotheses. The processes involved in this strategy are instantiated in an ACT‐based model that simulates both successful and unsuccessful performance. The protocols and the model suggest that numerical knowledge is essential to the detection of patterns and, therefore, to higher‐order problem solving. (shrink)

Why do people shift their strategies for solving problems? Past work has focused on the roles of contextual and individual factors in explaining whether people adopt new strategies when they are exposed to them. In this study, we examined a factor not considered in prior work: people's evaluations of the strategies themselves. We presented undergraduate participants from a moderately selective university (N = 252; 64.8% women, 65.6% White, 67.6% who had taken calculus) with two strategies for solving algebraic word problems (...) and asked them to rate these strategies and their own strategy on a variety of dimensions. Participants’ ratings loaded onto two factors, which we label quality and difficulty. Participants’ initial evaluations of the quality of the strategies were associated with whether they used the strategies at posttest, and this effect held even when controlling for individual and contextual factors. However, people's evaluations of the difficulty of the strategies were not consistently associated with their later adoption of those strategies. We also examined individual and contextual predictors of strategy ratings and strategy adoption. Participants’ need for cognition and their spatial visualization ability were associated with their strategy evaluations, and the framing of the story problems was associated with their strategy adoption. The findings highlight that strategy adoption depends on multiple interacting factors, and that to understand strategy change, it is critical to examine how people evaluate strategies. (shrink)

Aan de hand van voorbeelden uit de literatuurkritiek van de oudheid tot heden wordt een pleidooi geconstrueerd voor kritische openheid bij het ondergaan van kunstwerken met anti-democratische en racistische lading, zoals bijvoorbeeld de muziek van Wagner.

Theories of social justice are necessarily abstract, reaching beyond the particular and the immediate to the general and the timeless. Yet such theories, addressing the world and its problems, must respond to the real and changing dilemmas of the day. A brilliant work of practical philosophy, Frontiers of Justice is dedicated to this proposition. Taking up three urgent problems of social justice neglected by current theories and thus harder to tackle in practical terms and everyday life, Martha Nussbaum seeks (...) a theory of social justice that can guide us to a richer, more responsive approach to social cooperation. The idea of the social contract--especially as developed in the work of John Rawls--is one of the most powerful approaches to social justice in the Western tradition. But as Nussbaum demonstrates, even Rawls's theory, suggesting a contract for mutual advantage among approximate equals, cannot address questions of social justice posed by unequal parties. How, for instance, can we extend the equal rights of citizenship--education, health care, political rights and liberties--to those with physical and mental disabilities? How can we extend justice and dignified life conditions to all citizens of the world? And how, finally, can we bring our treatment of nonhuman animals into our notions of social justice? Exploring the limitations of the social contract in these three areas, Nussbaum devises an alternative theory based on the idea of capabilities. She helps us to think more clearly about the purposes of political cooperation and the nature of political principles--and to look to a future of greater justice for all. (shrink)

This book is a study of ancient views about 'moral luck'. It examines the fundamental ethical problem that many of the valued constituents of a well-lived life are vulnerable to factors outside a person's control, and asks how this affects our appraisal of persons and their lives. The Greeks made a profound contribution to these questions, yet neither the problems nor the Greek views of them have received the attention they deserve. This book thus recovers a central dimension of Greek (...) thought and addresses major issues in contemporary ethical theory. One of its most original aspects is its interrelated treatment of both literary and philosophical texts. The Fragility of Goodness has proven to be important reading for philosophers and classicists, and its non-technical style makes it accessible to any educated person interested in the difficult problems it tackles. This new edition features an entirely new preface by Martha Nussbaum. (shrink)

Should laws about sex and pornography be based on social conventions about what is disgusting? Should felons be required to display bumper stickers or wear T-shirts that announce their crimes? This powerful and elegantly written book, by one of America's most influential philosophers, presents a critique of the role that shame and disgust play in our individual and social lives and, in particular, in the law.Martha Nussbaum argues that we should be wary of these emotions because they are associated (...) in troubling ways with a desire to hide from our humanity, embodying an unrealistic and sometimes pathological wish to be invulnerable. Nussbaum argues that the thought-content of disgust embodies "magical ideas of contamination, and impossible aspirations to purity that are just not in line with human life as we know it." She argues that disgust should never be the basis for criminalizing an act, or play either the aggravating or the mitigating role in criminal law it currently does. She writes that we should be similarly suspicious of what she calls "primitive shame," a shame "at the very fact of human imperfection," and she is harshly critical of the role that such shame plays in certain punishments.Drawing on an extraordinarily rich variety of philosophical, psychological, and historical references--from Aristotle and Freud to Nazi ideas about purity--and on legal examples as diverse as the trials of Oscar Wilde and the Martha Stewart insider trading case, this is a major work of legal and moral philosophy. (shrink)

This volume brings together Nussbaum's published papers on the relationship between literature and philosophy, especially moral philosophy. The papers, many of them previously inaccessible to non-specialist readers, explore such fundamental issues as the relationship between style and content in the exploration of ethical issues; the nature of ethical attention and ethical knowledge and their relationship to written forms and styles; and the role of the emotions in deliberation and self-knowledge. Nussbaum investigates and defends a conception of ethical understanding which involves (...) emotional as well as intellectual activity, and which gives a certain type of priority to the perception of particular people and situations rather than to abstract rules. She argues that this ethical conception cannot be completely and appropriately stated without turning to forms of writing usually considered literary rather than philosophical. It is consequently necessary to broaden our conception of moral philosophy in order to include these forms. Featuring two new essays and revised versions of several previously published essays, this collection attempts to articulate the relationship, within such a broader ethical inquiry, between literary and more abstractly theoretical elements. (shrink)

In this paper, I will examine the notion of an epistemic dilemma, its characterizations in the literature, and the different intuitions prompted by it. I will illustrate that the notion of an epistemic dilemma is expected to capture various phenomena that are not easily unified with one concept: while some aspects of these phenomena are more about the agent in a certain situation, other aspects seem to be more about the situation as such. As a consequence, incompatible intuitions emerge concerning (...) the transparency of epistemic dilemmas as well as regarding the role that doxastic suspension plays in resolving cases of epistemic dilemma. I suggest to distinguish between the mental state of agents who find themselves in an epistemic dilemma and the normative situation that gives rise to a dilemma. I will refer to the agent’s mental state as epistemic conflict and will reserve the term epistemic dilemma for evidential situations in which epistemic principles either recommend incompatible doxastic responses or render all options impermissible. The concept of epistemic conflict not only captures the mental state of agents who find themselves in a genuine epistemic dilemma but also applies to agents who face difficult epistemic choices that they cannot resolve without substantial cognitive (and often pragmatic) effort, for example, via doxastic suspension. (shrink)

Divided into two parts this book examines the train of social theory from the 19th century, through to the `organization of modernity', in relation to ideas of social planning, and as contributors to the `rationalistic revolution' of the `golden age' of capitalism in the 1950s and 60s. Part two examines key concepts in the social sciences. It begins with some of the broadest concepts used by social scientists: choice, decision, action and institution and moves on to examine the `collectivist alternative': (...) the concepts of society, culture and polity, which are often dismissed as untenable by postmodernists today. This is a major contribution to contemporary social theory and provides a host of essential insights into the task of social science today. (shrink)

Shepherd propounds a theory of mind with a fair claim to be better than Hume’s at explaining the sources of commonly held human beliefs about causal necessity due largely to her relational theory of sense perception. In comparison with Hume’s account, it incorporates a more sophisticated treatment of mental representation, especially the role of relational structure and logical form. Most important, perhaps, Shepherd’s theory enforces the division, obscured by Hume, between the evidence of necessity and the metaphysical foundation of necessity.

A revolutionary new theory and call to action on animal rights, ethics, and law from the renowned philosopher Martha C. Nussbaum.

David Chalmers has distinguished the “hard” and the “easy” problem of consciousness, arguing that progress on the “easy problem”—on pinpointing the physical/neural correlates of consciousness—will not necessarily involve progress on the hard problem—on explaining why consciousness, in the first place, emerges from physical processing. Chalmers, however, was hopeful that refined theorizing would eventually yield philosophical progress. In particular, he argued that panpsychism might be a candidate account to solve the hard problem. Here, I provide a concise stock-take on both the (...) empirical-neuroscientific and philosophical-conceptual progress on consciousness. It turns out that, whereas empirical progress is indisputable, philosophical progress is much less pronounced. While Chalmers was right, I argue, in distinguishing distinctive types of problems of consciousness, his prediction of progress on the hard problem was overly optimistic. Empirical progress and philosophical progress are essentially uncoupled; a more skeptical perspective on progress in philosophy in general is appropriate. (shrink)

A pathbreaking new study of women and morality How do people decide what is "good" and what is "bad"? How does a society set moral guidelines -- and what happens when the behavior of various groups differs from these guidelines? Martha Saxton tackles these and other fascinating issues in Being Good , her history of the moral values prescribed for women in early America. Saxton begins by examining seventeenth-century Boston, then moves on to eighteenth-century Virginia and nineteenth-century St. Louis. (...) Studying women throughout the life cycle -- girls, young unmarried women, young wives and mothers, older widows -- through their diaries and personal papers, she also studies the variations due to different ethnicities and backgrounds. In all three cases, she is able to show how the values of one group conflicted with or developed in opposition to those of another. And, as the women's testimonies make clear, the emotional styles associated with different value systems varied. A history of American women's moral life thus gives us a history of women's emotional life as well. In lively and penetrating prose, Saxton argues that women's morals changed from the days of early colonization to the days of westward expansion, as women became at once less confined and less revered by their men -- and explores how these changes both reflected and affected trends in the nation at large. (shrink)

This study argues both that the proofs are ultimately unconvincing and that Plato was aware of the problems. The Phaedo is shown as a truly dialectical philosophical conversation about the immortality of the soul.

In this paper, the relationship between the e-value of a complex hypothesis, H, and those of its constituent elementary hypotheses, Hj, j = 1… k, is analyzed, in the independent setup. The e-value of a hypothesis H, ev, is a Bayesian epistemic, credibility or truth value defined under the Full Bayesian Significance Testing mathematical apparatus. The questions addressed concern the important issue of how the truth value of H, and the truth function of the corresponding FBST structure M, relate to (...) the truth values of its elementary constituents, Hj, and to the truth functions of their corresponding FBST structures Mj, respectively. (shrink)

Taking his critique of totalitarianizing conceptions of community as a starting point, this text examines Jean-Luc Nancy's work of an ‘ontology of plural singular being’ for its political implications. It argues that while at first this ontology seems to advocate a negative or an anti-politics only, it can also be read as a ‘theory of communicative praxis’ that suggests a certain ethos – in the form of a certain use of symbols (which is expressed only inaptly by the word ‘style’) (...) that would render the ontological plurality of singulars perceptible and practically effective. Finally, some recent texts by Nancy even sidestep the ontology of being-with and face the question of what politics, faced with demands of justice, could be and what a democratic politics could provide. Both of these aspects in Nancy's work, however, still remain to be spelled out more politically. (shrink)

In the 1920s, Carnap and Schlick both made an important use of definitions in their main publications: Schlick, in his Allgemeine Erkenntnislehre (1918, 2nd ed. 1925) and Carnap in Der logische Aufbau der Welt (1928, mostly written by 1925). In this paper, we first provide an analysis of the kinds of definitions that are distinguished in these books and a few other papers, and we then propose a systematic comparison of Schlick’s and Carnap’s diverging conceptions of definitions in the 1920s, (...) relating them, in both cases, to their respective philosophical projects in the Allgemeine Erkenntnislehre and in Der logische Aufbau der Welt. (shrink)

Part I: Dimensions of time's enigma -- Is time real? -- Eleaticism, temporality, and time -- The makings of a temporal universe -- Pastness and futurity -- Synchronicity and synchronicity -- Temporal pace and measurement -- Presentness or the present -- Aristotle's real account of time -- Parmenidean time and the impossible now -- Cosmic motion and the speed of time -- Time as the motion of the cosmos -- Time as the cosmos itself -- Time as motion and all (...) change -- Temporal cognition and the return of the now -- Real temporality in an Aristotelian world -- Does Aristotle refute eleaticism? -- Bisection argument I -- Bisection argument II -- Bisection argument III -- Plotinus' vitalistic platonism and the real origins of time -- Temporality, eternality, and Plotinus' new metaphysic -- Plotinus' critique of Aristotelian motion -- Indefinite temporality and the measure of motion -- Plotinus' neoplatonic account of time. (shrink)

Quels rapports, depuis les commencements, les philosophes ontils noués avec la science? Il ne s'agit pas ici de dresser l'inventaire des problèmes philosophiques que soulèvent les sciences ou la science, ni d'évaluer les réponses qui y furent apportées, mais, à l'inverse, de s'interroger sur les manières multiples dont les philosophes se sont représenté la science - état d'un sujet connaissant ou activité savante - système d'énoncés ou méthode de recherche, voire ensemble de disciplines constituées - et les problèmes afférents à (...) chacune de ces représentations. A l'exhaustivité historique, il a été préféré le questionnement philosophique. L'ouvrage se déploie à partir de quatre grandes problématiques : " La science "? (Platon ; Descartes, Newton ; Leibniz ; L'Encyclopédie ; Carnap) ; Critiques et limites de la science (empirisme et scepticisme anglais ; Kant ; Bergson, Brunschvicg ; Heidegger ; Wittgenstein) ; Science et naturalisme (Aristote ; Mach ; Bolzano ; Husserl ; Quine) Science, histoire et société (Comte ; Durkheim ; l'école de Francfort ; Bachelard, Canguilhem, Foucault ; logique de la science et révolutions scientifiques). (shrink)

The doctor patient relationship starts with a story. Doctors' notes, a patient's chart, the recommendations of ethics committees and insurance justifications all hinge on written and verbal narrative interaction. The "practice" of narrative profoundly affects decision making, patient health and treatment and the everyday practice of medicine. In this edited collection, the contributors provide conceptual foundations, practical guidelines and theoretical considerations central to the practice of narrative ethics.

En palabras del rector de la Pontificia Universidad Católica del Perú, coeditora de este libro, quien lea estas páginas podrá apreciar cómo Alberto Wagner de Reyna, alumno del filósofo alemán, nos aproxima a una renovada comprensión de los temas que cautivaron la reflexión de Heidegger, y nos invita a adentrarnos con él por esas "sendas del bosque" en las que el hombre que busca su autenticidad celebra la fiesta de la meditación serena.