Humans are often extraordinary at performing practical reasoning. There are cases where the human computer, slow as it is, is faster than any artificial intelligence system. Are we faster because of the way we perceive knowledge as opposed to the way we represent it? -/- The authors address this question by presenting neural network models that integrate the two most fundamental phenomena of cognition: our ability to learn from experience, and our ability to reason from what has been learned. (...) This book is the first to offer a self-contained presentation of neural network models for a number of computer science logics, including modal, temporal, and epistemic logics. By using a graphical presentation, it explains neural networks through a sound neural-symbolic integration methodology, and it focuses on the benefits of integrating effective robust learning with expressive reasoning capabilities. -/- The book will be invaluable reading for academic researchers, graduate students, and senior undergraduates in computer science, artificial intelligence, machine learning, cognitive science and engineering. It will also be of interest to computational logicians, and professional specialists on applications of cognitive, hybrid and artificial intelligence systems. (shrink)

This book explores why, regarding practical reasoning, humans are sometimes still faster than artificial intelligence systems. It is the first to offer a self-contained presentation of neural network models for many computer science logics.

Lecture audiences and students were asked to respond to virtual decision and game situations at gametheory.tau.ac.il. Several thousand observations were collected and the response time for each answer was recorded. There were significant differences in response time across responses. It is suggested that choices made instinctively, that is, on the basis of an emotional response, require less response time than choices that require the use of cognitive reasoning.

But for a very recent exception, Hume has generally been thought to deny that cognitive reason plays a distinctive role in morality. The cornerstone of this view has been his notorious remark that reason is and ought only to be the slave of passion and can never pretend to any other office than to serve and obey passion. But, this remark notwithstanding, Hume’s view about the significance of intention in moral processes suggests that he does assign to cognitive (...) reason a very crucial role in morality. This is what the present study establishes. (shrink)

But for a very recent exception, Hume has generally been thought to deny that cognitive reason plays a distinctive role in morality. The cornerstone of this view has been his notorious remark that reason is and ought only to be the slave of passion and can never pretend to any other office than to serve and obey passion. But, this remark notwithstanding, Hume’s view about the significance of intention in moral processes suggests that he does assign to cognitive (...) reason a very crucial role in morality. This is what the present study establishes. (shrink)

Since Darwin, the idea of psychological continuity between humans and other animals has dominated theory and research in investigating the minds of other species. Indeed, the field of comparative psychology was founded on two assumptions. First, it was assumed that introspection could provide humans with reliable knowledge about the causal connection between specific mental states and specific behaviors. Second, it was assumed that in those cases in which other species exhibited behaviors similar to our own, similar psychological causes were at (...) work. In this paper. we show how this argument by analogy is flowed with respect to the case of second-order mental states. As a test case, we focus on the question of how other species conceive of visual attention, and in particular whether chimpanzees interpret seeing as a mentalistic event involving internal states of perception, attention, and belief. We conclude that chimpanzees do not reason about seeing in this manner, and indeed, there is considerable reason to suppose that they do not harbor representations of mental states in general. We propose a reinterpretation model in which the majority of the rich social behaviors that humans and other primates share in common emerged long before the human lineage evolved the psychological means of interpreting those behaviors in mentalistic terms. Although humans, chimpanzees, and most other species may be said to possess mental states, humans alone may have evolved a cognitive specialization for reasoning about such states. (shrink)

In the late summer of 1998, the authors, a cognitive scientist and a logician, started talking about the relevance of modern mathematical logic to the study of human reasoning, and we have been talking ever since. This book is an interim report of that conversation. It argues that results such as those on the Wason selection task, purportedly showing the irrelevance of formal logic to actual human reasoning, have been widely misinterpreted, mainly because the picture of logic (...) current in psychology and cognitive science is completely mistaken. We aim to give the reader a more accurate picture of mathematical logic and, in doing so, hope to show that logic, properly conceived, is still a very helpful tool in cognitive science. The main thrust of the book is therefore constructive. We give a number of examples in which logical theorizing helps in understanding and modeling observed behavior in reasoning tasks, deviations of that behavior in a psychiatric disorder (autism), and even the roots of that behavior in the evolution of the brain. (shrink)

Population ethics is widely considered to be exceptionally important and exceptionally difficult. One key source of difficulty is the conflict between certain moral intuitions and analytical results identifying requirements for rational (in the sense of complete and transitive) social choice over possible populations. One prominent such intuition is the Asymmetry, which jointly proposes that the fact that a possible child’s quality of life would be bad is a normative reason not to create the child, but the fact that a child’s (...) quality of life would be good is not a reason to create the child. This paper reports a set of questionnaire experiments about the Asymmetry in the spirit of economists’ empirical social choice. Few survey respondents show support for the Asymmetry; instead respondents report that expectations of a good quality of life are relevant. Each experiment shows evidence (among at least some participants) of dual-process moral reasoning, in which cognitive reflection is statistically associated with reporting expected good quality of life to be normatively relevant. The paper discusses possible implications of these results for the economics of population-sensitive social welfare and for the conflict between moral mathematics and population intuition. (shrink)

Much research in the last two decades has demonstrated that human responses deviate from the performance deemed normative according to various models of decision making and rational judgment (e.g., the basic axioms of utility theory). This gap between the normative and the descriptive can be interpreted as indicating systematic irrationalities in human cognition. However, four alternative interpretations preserve the assumption that human behavior and cognition is largely rational. These posit that the gap is due to (1) performance errors, (2) computational (...) limitations, (3) the wrong norm being applied by the experimenter, and (4) a different construal of the task by the subject. In the debates about the viability of these alternative explanations, attention has been focused too narrowly on the modal response. In a series of experiments involving most of the classic tasks in the heuristics and biases literature, we have examined the implications of individual differences in performance for each of the four explanations of the normative/descriptive gap. Performance errors are a minor factor in the gap; computational limitations underlie non-normative responding on several tasks, particularly those that involve some type of cognitive decontextualization. Unexpected patterns of covariance can suggest when the wrong norm is being applied to a task or when an alternative construal of the task should be considered appropriate. Key Words: biases; descriptive models; heuristics; individual differences; normative models; rationality; reasoning. (shrink)

Increased globalisation has also seen increased scrutiny of corporate behaviour by the communities. Clearly managers are under increased pressure from stakeholders not only to outperform their competitors, but also are expected to do so in an ethical manner. In order to act ethically an individual is expected to have a well-developed moral imagination and moral reasoning. Literature on ethical reasoning research indicates a positive relationship between higher levels of moral reasoning and ethical behaviour. This paper presents the (...) findings of a study of the moral reasoning/moral development of managers working in large manufacturing enterprises situated in the state of Punjab in India. Kohlberg's theory of Cognitive Moral Development forms the basis of the study. Moral Judgement Interview developed by Weber, on the basis of Kohlberg's theory was used for the study. Moral Reasoning Scores were calculated using Abbreviated Scoring Guide. More than half of the managers scored at post-conventional level of reasoning while assessing the moral dilemmas. The reasoning scores varied for the three dilemmas. (shrink)

This commentary construes the relation between the two systems of temporal updating and temporal reasoning as a bifurcation and tracks it across three time scales: phylogeny, ontogeny, and microgeny. In taking a dynamic systems approach, flexibility, as mentioned by Hoerl & McCormack, is revealed as the key characteristic of human temporal cognition.

Without Good Reason offers a clear critical account of the debate in philosophy and cognitive science about whether humans are rational. Various experiments performed over the last several decades have been interpreted as showing that humans are irrational; certain philosophers, on the other hand, have argued that it is a conceptual truth that humans must be rational. Edward Stein concludes that the question of human rationality should be answered not conceptually but empirically: the resources of a fully developed (...) class='Hi'>cognitive science need to be used not only to answer this question but generally in investigations of the nature of human knowledge and understanding. (shrink)

There was a long tradition in philosophy according to which good reasoning had to be deductively valid. However, that tradition began to be questioned in the 1960’s, and is now thoroughly discredited. What caused its downfall was the recognition that many familiar kinds of reasoning are not deductively valid, but clearly confer justification on their conclusions. Here are some simple examples.

I present a critical discussion of dual-process theories of reasoning and decision making with particular attention to the nature and role of Type 2 processes. The original theory proposed...

Cognition Through Understanding presents a selection of Tyler Burge's essays that use epistemology to illumine powers of mind. The essays focus on epistemic warrants that differ from those warrants commonly discussed in epistemology--those for ordinary empirical beliefs and for logical and mathematical beliefs. The essays center on four types of cognition warranted through understanding--self-knowledge, interlocution, reasoning, and reflection. Burge argues that by reflecting on warrants for these types of cognition, one better understands cognitive powers that are distinctive of (...) persons, and of human beings. The collection presents three previously unpublished independent essays, in addition to substantial, retrospective commentary. The retrospective commentary invites the reader to make connections that were not fully in mind when the essays were written. (shrink)

This paper presents an attempt to bridge the gap between logical and cognitive treatments of strategic reasoning in games. There have been extensive formal debates about the merits of the principle of backward induction among game theorists and logicians. Experimental economists and psychologists have shown that human subjects, perhaps due to their bounded resources, do not always follow the backward induction strategy, leading to unexpected outcomes. Recently, based on an eye-tracking study, it has turned out that even human (...) subjects who produce the outwardly correct ‘backward induction answer’ use a different internal reasoning strategy to achieve it. The paper presents a formal language to represent different strategies on a finer-grained level than was possible before. The language and its semantics help to precisely distinguish different cognitive reasoning strategies, that can then be tested on the basis of computational cognitive models and experiments with human subjects. The syntactic framework of the formal system provides a generic way of constructing computational cognitive models of the participants of the Marble Drop game. (shrink)

There is widespread disagreement about whether epistemic akrasia is possible. This paper argues that the possibility of epistemic akrasia follows from a traditional rationalist conception of epistemic critical reasoning, together with considerations about the fallibility of our capacities for reasoning. In addition to defending the view that epistemic akrasia is possible, we aim to shed light on why it is possible. By focusing on critical epistemic reasoning, we show how traditional rationalist assumptions about our core cognitive (...) capacities help to explain the possibility of epistemic akrasia. (shrink)

In response to the claim that the properties typically used to distinguish System 1 from System 2 crosscut one another, Carruthers, Evans, and Stanovich have abandoned the System 1/System 2 distinction. Evans and Stanovich both opt for a dual-process theory, according to which Type-1 processes are autonomous and Type-2 processes use working memory and involve cognitive decoupling. Carruthers maintains a two-system account, according to which there is an intuitive system and a reflective system. I argue that these defenses of (...) dual-process theory face two problems. First, as pointed out by Sloman, these new dual-process theories cast the net of “reasoning” too wide. Second, and more importantly, this singular distinction cannot accomplish the explanatory work needed to support dual-process theory. These theorists must fall back on using various properties from the Standard Menu in explanations, thereby committing these accounts to a “Standard View” that they had hoped to avoid. Thus, these theorists face a.. (shrink)

Our research extends the current understanding of cognitive moral reasoning research by considering the often‐overlooked element of context, specifically the issue presented in the ethical dilemma, and the issue of gender agreement between the subject and the dilemma actor. We rely on gender identity and cognitive moral reasoning theories to provide the theoretical underpinnings of our exploration to deepen our understanding of the contextual forces affecting cognitive moral reasoning. Our results generally confirm earlier research (...) findings and provide valuable information regarding our understanding of the impact of the dilemma context and the gender agreement or disagreement between the subject and the actor in an ethical dilemma, with significance found for four of our five hypotheses, with half of the significant results in the direction predicted. Implications for future academic research and business practice are discussed. (shrink)

This study draws on Kohlberg''s Cognitive Moral Development Theory and Hofstede''s Culture Theory to examine whether cultural differences are associated with variations in ethical reasoning. Ethical reasoning levels for auditors from Australia and China are expected to be different since auditors from China and Australia are also different in terms of the cultural dimensions of long term orientation, power distance, uncertainty avoidance and individualism. The Defining Issues Tests measuring ethical reasoning P scores were distributed to auditors (...) from Australia and China including Hong Kong and The Chinese Mainland. Results show that auditors from Australia have higher ethical reasoning scores than those from China, consistent with Hofstede''s Culture Theory predictions. (shrink)

Simon Blackburn puts forward a compelling original philosophy of human motivation and morality. He maintains that we cannot get clear about ethics until we get clear about human nature. So these are the sorts of questions he addresses: Why do we behave as we do? Can we improve? Is our ethics at war with our passions, or is it an upshot of those passions? Blackburn seeks the answers in an exploration of guilt, shame, disgust, and other moral emotions; he draws (...) also on game theory and cognitive science in his account of the structures of human motivation. Many philosophers have wanted a naturalistic ethics a theory that integrates our understanding of human morality with the rest of our understanding of the world we live in. What is special about Blackburn's naturalistic ethics is that it does not debunk the ethical by reducing it to the non-ethical. At the same time he banishes the spectres of scepticism and relativism that have haunted recent moral philosophy. Ruling Passions sets ethics in the context of human nature: it offers a solution to the puzzle of how ethics can maintain its authority even though it is rooted in the very emotions and motivations that it exists to control. (shrink)

This paper explicates an account of argumentative rationality by articulating the common, basic idea of its nature, and then identifying a collection of assumptions inherent in it. Argumentative rationality is then contrasted with dual-process theories of reasoning and rationality prevalent in the psychology of reasoning. It is argued that argumentative rationality properly corresponds only with system-2 reasoning in dual-process theories. This result challenges the prescriptive force of argumentative norms derives if they derive at all from their descriptive (...) accuracy of our cognitive capacities. In response, I propose an activity-based account of reasoning which retains the assumptions of argumentative rationality while recontextualizing the relationship between reasoning as a justificatory activity and the psychological states and processes underlying that activity. (shrink)

This chapter examines the extent to which there are continuities between the cognitive processes and epistemic practices engaged in by human hunter-gatherers, on the one hand, and those which are distinctive of science, on the other. It deploys anthropological evidence against any form of 'no-continuity' view, drawing especially on the cognitive skills involved in the art of tracking. It also argues against the 'child-as-scientist' accounts put forward by some developmental psychologists, which imply that scientific thinking is present in (...) early infancy and universal amongst humans who have sufficient time and resources to devote to it. In contrast, a modularist kind of 'continuity' account is proposed, according to which the innately channelled architecture of human cognition provides all the materials necessary for basic forms of scientific reasoning in older children and adults, needing only the appropriate sorts of external support, social context, and background beliefs and skills in order for science to begin its advance. (shrink)

The debate over the propriety of cognitive enhancement evokes both enthusiasm and worry. To gain further insight into the reasons that people may have for endorsing or eschewing pharmacological enhancement, we used empirical tools to explore public attitudes towards PE of twelve cognitive, affective, and social domains. Participants from Canada and the United States were recruited using Mechanical Turk and were randomly assigned to read one vignette that described an individual who uses a pill to enhance a single (...) domain. After reading the vignette, participants were asked how comfortable they were with the individual using the enhancement. People were significantly more comfortable when they read about enhancement of certain CAS domains than others. We found a modest negative correlation between comfort level and the degree to which the PE was perceived as changing core features of the person. We also found a modest correlation between comfort level and the degree to which the PE was perceived as improving success in life. Finally, using a sequential mixed method technique, we found that participants who felt uncomfortable about PE use overwhelmingly focused on a lack of need and, to a lesser degree, expressed concerns about safety; those who felt comfortable about PE use most frequently mentioned the safety of the pill and its ability to provide a positive outcome. The data provide novel insights into public enthusiasms and concerns over the use of PE. (shrink)

The role of reasoning in our moral lives has been increasingly called into question by moral psychology. Not only are intuitions guiding many of our moral judgments and decisions, with reasoning only finding post-hoc rationalizations, but reasoning can sometimes play a negative role, by finding excuses for our moral violations. The observations fit well with the argumentative theory of reasoning (Mercier H, Sperber D, Behav Brain Sci, in press-b), which claims that reasoning evolved to find (...) and evaluate arguments in dialogic contexts. This theory explains the strong confirmation bias that reasoning displays when it produces arguments, which in turn explains its tendency to rationalize our decisions. But this theory also predicts that people should be able to evaluate arguments felicitously and that, as a result, people should reason better in groups, when they are confronted with other people’s arguments. Groups are able to converge on better moral judgments. It is argued that reasoning and argumentation play an important role in our everyday moral lives, and a defense of the value of reasoning for moral change is offered. (shrink)

A key question for cognitive theories of reasoning is whether logical reasoning is inherently a sentential linguistic process or a process requiring spatial manipulation and search. We addressed this question in an event-related fMRI study of syllogistic reasoning, using sentences with and without semantic content. Our findings indicate involvement of two dissociable networks in deductive reasoning. During content-based reasoning a left hemisphere temporal system was recruited. By contrast, a formally identical reasoning task, which (...) lacked semantic content, activated a parietal system. The two systems share common components in bilateral basal ganglia nuclei, right cerebellum, bilateral fusiform gyri, and left prefrontal cortex. We conclude that syllogistic reasoning is implemented in two distinct systems whose engagement is primarily a function of the presence or absence of semantic content. Furthermore, when a logical argument results in a belief–logic conflict, the nature of the reasoning process is changed by recruitment of the right prefrontal cortex. (shrink)

Business Ethics, the Environment &Responsibility, EarlyView.

Formal languages are widely regarded as being above all mathematical objects and as producing a greater level of precision and technical complexity in logical investigations because of this. Yet defining formal languages exclusively in this way offers only a partial and limited explanation of the impact which their use actually has. In this book, Catarina Dutilh Novaes adopts a much wider conception of formal languages so as to investigate more broadly what exactly is going on when theorists put these tools (...) to use. She looks at the history and philosophy of formal languages and focuses on the cognitive impact of formal languages on human reasoning, drawing on their historical development, psychology, cognitive science and philosophy. Her wide-ranging study will be valuable for both students and researchers in philosophy, logic, psychology and cognitive and computer science. (shrink)

The theory of mental models and its computer implementations have led to crucial experiments showing that no standard logic—the sentential calculus and all logics that include it—can underlie human reasoning. The theory replaces the logical concept of validity (the conclusion is true in all cases in which the premises are true) with necessity (conclusions describe no more than possibilities to which the premises refer). Many inferences are both necessary and valid. But experiments show that individuals make necessary inferences that (...) are invalid, e.g., Few people ate steak or sole; therefore, few people ate steak. Other crucial experiments show that individuals reject inferences that are not necessary but valid, e.g., He had the anesthetic or felt pain, but not both; therefore, he had the anesthetic or felt pain, or both. Nothing in logic can justify the rejection of a valid inference: a denial of its conclusion is inconsistent with its premises, and inconsistencies yield valid inferences of any conclusions whatsoever including the one denied. So inconsistencies are catastrophic in logic. In contrast, the model theory treats all inferences as defeasible (nonmonotonic), and inconsistencies have the null model, which yields only the null model in conjunction with any other premises. So inconsistences are local. Which allows truth values in natural languages to be much richer than those that occur in the semantics of standard logics; and individuals verify assertions on the basis of both facts and possibilities that did not occur. (shrink)

The ability to reason about how things were made is a pervasive aspect of how humans make sense of physical objects. Such reasoning is useful for a range of everyday tasks, from assembling a piece of furniture to making a sandwich and knitting a sweater. What enables people to reason in this way even about novel objects, and how do people draw upon prior experience with an object to continually refine their understanding of how to create it? To explore (...) these questions, we developed a virtual task environment to investigate how people come up with step‐by‐step procedures for recreating block towers whose composition was not readily apparent, and analyzed how the procedures they used to build them changed across repeated attempts. Specifically, participants (N = 105) viewed 2D silhouettes of eight unique block towers in a virtual environment simulating rigid‐body physics, and aimed to reconstruct each one in less than 60 s. We found that people built each tower more accurately and quickly across repeated attempts, and that this improvement reflected both group‐level convergence upon a tiny fraction of all possible viable procedures, as well as error‐dependent updating across successive attempts by the same individual. Taken together, our study presents a scalable approach to measuring consistency and variation in how people infer solutions to physical assembly problems. (shrink)

Cognition Through Understanding presents a selection of Tyler Burge's essays on cognition, thought, and language. The essays collected here use epistemology as a way of interpreting underlying powers of mind, and focus on four types of cognition that are warranted through understanding: self-knowledge, interlocution, reasoning, and reflection.

From Descartes to Popper, philosophers have criticized and tried to improve the strategies of reasoning invoked in science and in everyday life. In recent years leading cognitive psychologists have painted a detailed, controversial, and highly critical portrait of common sense reasoning. Stephen Stich begins with a spirited defense of this work and a critique of those writers who argue that widespread irrationality is a biological or conceptual impossibility.Stich then explores the nature of rationality and irrationality: What is (...) it that distinguishes good reasoning from bad? He rejects the most widely accepted approaches to this question approaches which unpack rationality by appeal to truth, to reflective equilibrium or conceptual analysis. The alternative he defends grows out of the pragmatic tradition in which reasoning is viewed as a cognitive tool. Stich's version of pragmatism leads to a radical epistemic relativism and he argues that the widespread abhorrence of relativism is ill founded. (shrink)

The modifier effect refers to the fact that the perceived likelihood of a property in a noun category is diminished if the noun is modified. For example, “Pigs live on farms” is rated as more likely than “Dirty pigs live on farms.” The modifier effect has been demonstrated in many studies, but the underlying cognitive mechanisms are still unclear. This paper reports two series of experiments that jointly point to the conclusion that the modifier effect is the result of (...) a superposition of three cognitive mechanisms: (a) probabilistically softened default inheritance, (b) pragmatic implicatures due to Gricean relevance assumptions, and (c) inference based on world knowledge. We present evidence that the pragmatic effects operate largely on an unconscious level and that their influence can be reduced by changing the presentation format of the cognitive task. (shrink)

Commonsense reasoning is one of the main open problems in the field of Artificial Intelligence (AI) while, on the other hand, seems to be a very intuitive and default reasoning mode in humans and other animals. In this talk, we discuss the different paradigms that have been developed in AI and Computational Cognitive Science to deal with this problem (ranging from logic-based methods, to diagrammatic-based ones). In particular, we discuss - via two different case studies concerning commonsense (...) categorization and knowledge invention tasks - how cognitively inspired heuristics can help (both in terms of efficiency and efficacy) in the realization of intelligent artificial systems able to reason in a human-like fashion, with results comparable to human-level performances. (shrink)

Reasoning about what other people know is an important cognitive ability, known as epistemic reasoning, which has fascinated psychologists, economists, and logicians. In this paper, we propose a computational model of humans’ epistemic reasoning, including higher-order epistemic reasoning—reasoning about what one person knows about another person’s knowledge—that we test in an experiment using a deductive card game called “Aces and Eights”. Our starting point is the model of perfect higher-order epistemic reasoners given by the (...) framework of dynamic epistemic logic. We modify this idealized model with bounds on the level of feasible epistemic reasoning and stochastic update of a player’s space of possibilities in response to new information. These modifications are crucial for explaining the variation in human performance across different participants and different games in the experiment. Our results demonstrate how research on epistemic logic and cognitive models can inform each other. (shrink)

The work of Tversky, Kahneman and others suggests that people often make use of cognitive heuristics such as availability, salience and representativeness in their reasoning and decision making. Through use of a historical example--the recent plate tectonics revolution in geology--I argue that such heuristics play a crucial role in scientific decision making also. I suggest how these heuristics are to be considered, along with noncognitive factors (such as motivation and social structures) when drawing historical and epistemological conclusions. The (...) normative perspective is community-wide, contextual, and instrumental. (shrink)

Charles S. Peirce attempted to develop his semiotic theory of cognitive signs interpretation, which are originated in our basic perceptual operations that quasi-prove the truth of perceptual judgment representing reality. The essential problem was to explain how, by a cognitive interpretation of the sequence of perceptual signs, we can represent external physical reality and reflectively represent our cognitive mind’s operations of signs. With his phaneroscopy introspection, Peirce shows how, without going outside our cognitions, we can represent external (...) reality. Hence Peirce can avoid the Berkeleyian, Humean, and Kantian phenomenologies, as well as the modern analytic philosophy and hermeneutic phenomenology. Peirce showed that with the trio of semiotic interpretation – abductive logic of discovery of hypotheses, deductive logic of necessary inference, and inductive logic of evaluation – we can reach a complete proof of the true representation of reality. This semiotic logic of reasoning is the epistemic logic representing human confrontation in reality, with which we can achieve knowledge and conduct our behavior. However, Peirce did not complete his realistic revolution to eliminate previously accepted nominalistic and idealistic epistemologies of formal logic and pure mathematics. Here, I inquire why Peirce did not complete his historical realist epistemological revolution and following that inquiry I attempt to reconstruct it. (shrink)

Several hundred thousand intellectually talented 12-to 13-year-olds have been tested nationwide over the past 16 years with the mathematics and verbal sections of the Scholastic Aptitude Test (SAT). Although no sex differences in verbal ability have been found, there have been consistent sex differences favoring males in mathematical reasoning ability, as measured by the mathematics section of the SAT (SAT-M). These differences are most pronounced at the highest levels of mathematical reasoning, they are stable over time, and they (...) are observed in other countries as well. The sex difference in mathematical reasoning ability can predict subsequent sex differences in achievement in mathematics and science and is therefore of practical importance. To date a primarily environmental explanation for the difference in ability has not received support from the numerous studies conducted over many years by the staff of Study of Mathematically Precocious Youth (SMPY) and others. We have studied some of the classical environmental hypotheses: attitudes toward mathematics, perceived usefulness of mathematics, confidence, expectations/ encouragement from parents and others, sex-typing, and differential course-taking. In addition, several physiological correlates of extremely high mathematical reasoning ability have been identified (left-handedness, allergies, myopia, and perhaps bilateral representation of cognitive functions and prenatal hormonal exposure). It is therefore proposed that the sex difference in SAT-M scores among intellectually talented students, which may be related to greater male variability, results from both environmental and biological factors. (shrink)

Modern logic is undergoing a cognitive turn, side-stepping Frege’s ‘antipsychologism’. Collaborations between logicians and colleagues in more empirical fields are growing, especially in research on reasoning and information update by intelligent agents. We place this border-crossing research in the context of long-standing contacts between logic and empirical facts, since pure normativity has never been a plausible stance. We also discuss what the fall of Frege’s Wall means for a new agenda of logic as a theory of rational agency, (...) and what might then be a viable understanding of ‘psychologism’ as a friend rather than an enemy of logical theory. (shrink)

This book offers a thorough investigation into the development of the cognitive processes that underpin judgements about mental states (often termed 'theory of ...

Four experiments examined the strategies that individuals develop in sentential reasoning. They led to the discovery of five different strategies. According to the theory proposed in the paper, each of the strategies depends on component tactics, which all normal adults possess, and which are based on mental models. Reasoners vary their use of tactics in ways that have no deterministic account. This variation leads different individuals to assemble different strategies, which include the construction of incremental diagrams corresponding to mental (...) models, and the pursuit of the consequences of a single model step by step. Moreover, the difficulty of a problem (i.e., the number of mental models required by the premises) predisposes reasoners towards certain strategies. Likewise, the sentential connectives in the premises also bias reasoners towards certain strategies, e.g., conditional premises tend to elicit reasoning step by step whereas disjunctive premises tend to elicit incremental diagrams. (shrink)

This book examines two questions: Do people make use of abstract rules such as logical and statistical rules when making inferences in everyday life? Can such abstract rules be changed by training? Contrary to the spirit of reductionist theories from behaviorism to connectionism, there is ample evidence that people do make use of abstract rules of inference -- including rules of logic, statistics, causal deduction, and cost-benefit analysis. Such rules, moreover, are easily alterable by instruction as it occurs in classrooms (...) and in brief laboratory training sessions. The fact that purely formal training can alter them and that those taught in one content domain can "escape" to a quite different domain for which they are also highly applicable shows that the rules are highly abstract. The major implication for cognitive science is that people are capable of operating with abstract rules even for concrete, mundane tasks; therefore, any realistic model of human inferential capacity must reflect this fact. The major implication for education is that people can be far more broadly influenced by training than is generally supposed. At high levels of formality and abstraction, relatively brief training can alter the nature of problem-solving for an infinite number of content domains. (shrink)

This paper proposes laying the groundwork for principled moral reasoning as a seminal goal of ethics interventions in higher education, and on this basis, makes a case for educating future specialists and professionals with a foundation in philosophical ethics. Identification of such a seminal goal is warranted by the progressive dissociation of scientific practice and ethical deliberation since the onset of a problematic relationship between science and ethics around the mid-19th century, and the extensive mistrust of integrating ethics in (...) science and engineering curricula beyond its “applied,” “practical,” or “professional” implications. Although calls by international scientific and educational bodies to strengthen ethics teaching in scientific education over the past quarter century have brought about a notion of combining competence in a certain field with competence in ethics, this is neither entrenched in the academic community, nor fleshed out as regards its core or instruments to realize it. The legitimate goals of ethics teaching in higher education, almost settled since the 1980s, can be subsumed under the proposed seminal goal, and the latter also would safeguard content and methods of ethics interventions against the intrusion of indoctrinative approaches. In this paper, derivation of the proposed seminal goal rests on an interpretation of the Kohlbergian cognitive-developmental conception of moral adulthood consisting in autonomous principled moral reasoning. This interpretation involves, based on Kant’s conception of the virtuous person, integrating questions about the “good life” into the domain of principled reasoning. (shrink)

Recent research shows that in reasoning tasks, subjects usually produce an initial intuitive answer, accompanied by a metacognitive experience, which has been called feeling of rightness. This paper is aimed at exploring the complimentary experience of feeling of error, that is, the spontaneous, subtle sensation of cognitive uneasiness arising from conflict detection during thinking. We investigate FOE in two studies with the “bat-and-ball” reasoning task, in its standard and isomorphic control versions. Study 1 is a generation study, (...) in which participants are asked to generate their own response. Study 2 is an evaluation study, in which participants are asked to choose between two conflicting answers. In each study, the FOE is measured by the FOE questionnaire. Results show that the FOE is significantly present in the standard B&B task when participants give a wrong answer, that our questionnaire can measure it, and furthermore, that it is diagnostic of genuine error. (shrink)