I present a new interpretation of Wittgenstein's later philosophy of logic and mathematics. This interpretation, like others, emphasizes Wittgenstein's attempt to reconcile platonistic and constructivistic approaches. But, unlike other interpretations, mine explains that attempt in terms of Wittgenstein's position about the relations between our concepts of necessity and provability. If what I say here is correct, then we can rescue Wittgenstein from the charge of naive relativism. For his relativism extends only to provability, and not to necessity.

This paper explores different interpretations of the word ‘deep’ as it is used by mathematicians, with a large number of examples illustrating various criteria for depth. Most of the examples are theorems with ‘historical depth’, in the sense that many generations of mathematicians contributed to their proof. Some also have ‘foundational depth’, in the sense that they support large mathematical theories. Finally, concepts from mathematical logic suggest that it may be possible to order certain theorems or problems according to ‘logical (...) depth’. (shrink)

Shelley Weinberg argues that the idea of consciousness as a form of non-evaluative self-awareness helps solve some of the thorniest issues in Locke's philosophy: in his philosophical psychology, and his theories of knowledge, personal identity, and moral agency. The model of consciousness set forth here binds these key issues with a common thread.

This collection provides a complete version of Shelley's masterpiece Frankenstein as well as her short fiction and letters.

Is the basis of criminality an act that causes harm, or an act undertaken with the belief that one will cause harm? The present study takes a cognitive neuroscience approach to investigating how information about an agent’s beliefs and an action’s conse- quences contribute to moral judgment. We build on prior devel- opmental evidence showing that these factors contribute differ- entially to the young child’s moral judgments coupled with neurobiological evidence suggesting a role for the right tem- poroparietal junction (RTPJ) (...) in belief attribution. Participants read vignettes in a 2 2 design: protagonists produced either a negative or neutral outcome based on the belief that they were causing the negative outcome (‘‘negative’’ belief) or the neutral outcome (‘‘neutral’’ belief). The RTPJ showed significant activation above baseline for all four conditions but was modulated by an interaction between belief and outcome. Specifically, the RTPJ response was highest for cases of attempted harm, where protag- onists were condemned for actions that they believed would cause harm to others, even though the harm did not occur. The results not only suggest a general role for belief attribution during moral judgment, but also add detail to our understanding of the inter- action between these processes at both the neural and behavioral levels. (shrink)

Cecilea discusses with Shelley Tremain her experience as a first-generation U.S. citizen and first-generation university graduate; why she was motivated to study philosophy and become a professional philosopher; the launching of the new, open access, online journal, the Journal of Philosophy of Emotions (JPE); the “mismatch” between what she seemed like “on paper” and what she is is capable of; how societal, institutional, professional, and philosophical practices and policies must be adjusted to enable others like her to flourish as (...) professional philosophers; and any resources—such as articles, books, and videos—that she would like to recommend on the topics and issues that she has addressed in this interview. (shrink)

When we judge an action as morally right or wrong, we rely on our capacity to infer the actor's mental states. Here, we test the hypothesis that the right temporoparietal junction, an area involved in mental state reasoning, is necessary for making moral judgments. In two experiments, we used transcranial magnetic stimulation to disrupt neural activity in the RTPJ transiently before moral judgment and during moral judgment. In both experiments, TMS to the RTPJ led participants to rely less on the (...) actor's mental states. A particularly striking effect occurred for attempted harms : Relative to TMS to a control site, TMS to the RTPJ caused participants to judge attempted harms as less morally forbidden and more morally permissible. Thus, interfering with activity in the RTPJ disrupts the capacity to use mental states in moral judgment, especially in the case of attempted harms. (shrink)

According to the perspective developed in this article, widely shared, hegemonic cultural beliefs about gender and their impact in what the authors call “social relational” contexts are among the core components that maintain and change the gender system. When gender is salient in these ubiquitous contexts, cultural beliefs about gender function as part of the rules of the game, biasing the behaviors, performances, and evaluations of otherwise similar men and women in systematic ways that the authors specify. While the biasing (...) impact of gender beliefs may be small in any one instance, the consequences cumulate over individuals’ lives and result in substantially different outcomes for men and women. After describing this perspective, the authors show how it sheds newlight on some defining features of the gender system and illustrate its implications for research into specific questions about gender inequality. (shrink)

When we evaluate moral agents, we consider many factors, including whether the agent acted freely, or under duress or coercion. In turn, moral evaluations have been shown to influence our (non-moral) evaluations of these same factors. For example, when we judge an agent to have acted immorally, we are subsequently more likely to judge the agent to have acted freely, not under force. Here, we investigate the cognitive signatures of this effect in interpersonal situations, in which one agent (“forcer”) forces (...) another agent (“forcee”) to act either immorally or morally. The structure of this relationship allowed us to ask questions about both the “forcer” and the “forcee.” Paradoxically, participants judged that the “forcer” forced the “forcee” to act immorally (i.e. X forced Y), but that the “forcee” was not forced to act immorally (i.e. Y was not forced by X). This pattern obtained only for human agents who acted intentionally. Directly changing participants’ focus from one agent to another (forcer vs. forcee) also changed the target of moral evaluation and therefore force attributions. The full pattern of judgments may provide a window into motivated moral reasoning and focusing bias more generally; participants may have been motivated to attribute greater force to the immoral forcer and greater freedom to the immoral forcee. (shrink)

Studies of normal individuals reveal an asymmetry in the folk concept of intentional action: an action is more likely to be thought of as intentional when it is morally bad than when it is morally good. One interpretation of these results comes from the hypothesis that emotion plays a critical mediating role in the relationship between an action’s moral status and its intentional status. According to this hypothesis, the negative emotional response triggered by a morally bad action drives the attribution (...) of intent to the actor, or the judgment that the actor acted intentionally. We test this hypothesis by presenting cases of morally bad and morally good action to seven individuals with deficits in emotional processing resulting from damage to the ventromedial prefrontal cortex (VMPC). If normal emotional processing is necessary for the observed asymmetry, then individuals with VMPC lesions should show no asymmetry. Our results provide no support for this hypothesis: like normal individuals, those with VMPC lesions showed the same asymmetry, tending to judge that an action was intentional when it was morally bad but not when it was morally good. Based on this finding, we suggest that normal emotional processing is not responsible for the observed asymmetry of intentional attributions and thus does not mediate the relationship between an action’s moral status and its intentional status. (shrink)

Moral judgments, whether delivered in ordinary experience or in the courtroom, depend on our ability to infer intentions. We forgive unintentional or accidental harms and condemn failed attempts to harm. Prior work demonstrates that patients with damage to the ventromedial prefrontal cortex deliver abnormal judgments in response to moral dilemmas and that these patients are especially impaired in triggering emotional responses to inferred or abstract events, as opposed to real or actual outcomes. We therefore predicted that VMPC patients would deliver (...) abnormal moral judgments of harmful intentions in the absence of harmful outcomes, as in failed attempts to harm. This prediction was confirmed in the current study: VMPC patients judged attempted harms, including attempted murder, as more morally permissible relative to controls. These results highlight the critical role of the VMPC in processing harmful intent for moral judgment. (shrink)

Around the world, private and public organizations use software called legal expert systems to compute taxes. This software must comply with the laws they are designed to implement. As such, a bug or an error in a program that leads to tax miscalculations can have heavy legal and democratic consequences. However, increasing evidence suggests that some legal expert systems may not comply with the law. Moreover, traditional software development processes mean that legal expert systems are difficult to adapt to the (...) continuous flow of new legislation. To prevent further software decay and to reconcile these systems with the growing demand for algorithmic transparency, we argue that there is a need for a new development process for legal expert systems. This new system must be built to comply with the law, in particular the GDPR. It must also respect democratic transparency. For these reasons, we present a solution built by lawyers and computer scientists: C atala, a new programming language coupled with a pair programming development process. (shrink)

This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms, it has often been asked: which axioms are needed to prove a given theorem? Only in the last two hundred years have some of these questions been answered, and only in the last forty years has a systematic approach been developed. In Reverse (...) Mathematics, John Stillwell gives a representative view of this field, emphasizing basic analysis--finding the "right axioms" to prove fundamental theorems--and giving a novel approach to logic. Stillwell introduces reverse mathematics historically, describing the two developments that made reverse mathematics possible, both involving the idea of arithmetization. The first was the nineteenth-century project of arithmetizing analysis, which aimed to define all concepts of analysis in terms of natural numbers and sets of natural numbers. The second was the twentieth-century arithmetization of logic and computation. Thus arithmetic in some sense underlies analysis, logic, and computation. Reverse mathematics exploits this insight by viewing analysis as arithmetic extended by axioms about the existence of infinite sets. Remarkably, only a small number of axioms are needed for reverse mathematics, and, for each basic theorem of analysis, Stillwell finds the "right axiom" to prove it. By using a minimum of mathematical logic in a well-motivated way, Reverse Mathematics will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics. (shrink)

Topics in Cognitive Science, Volume 14, Issue 1, Page 163-188, January 2022.

Contemporary moral psychology has focused on the notion of a universal moral sense, robust to individual and cultural differences. Yet recent evidence has revealed individual differences in the psychological processes for moral judgment: controlled cognition, mental-state reasoning, and emotional responding. We discuss this evidence and its relation to cross-cultural diversity in morality.

Autocatalytic networks have been used to model the emergence of self‐organizing structure capable of sustaining life and undergoing biological evolution. Here, we model the emergence of cognitive structure capable of undergoing cultural evolution. Mental representations (MRs) of knowledge and experiences play the role of catalytic molecules, and interactions among them (e.g., the forging of new associations) play the role of reactions and result in representational redescription. The approach tags MRs with their source, that is, whether they were acquired through social (...) learning, individual learning (of pre‐existing information), or creative thought (resulting in the generation of new information). This makes it possible to model how cognitive structure emerges and to trace lineages of cumulative culture step by step. We develop a formal representation of the cultural transition from Oldowan to Acheulean tool technology using Reflexively Autocatalytic and Food set generated (RAF) networks. Unlike more primitive Oldowan stone tools, the Acheulean hand axe required not only the capacity to envision and bring into being something that did not yet exist, but hierarchically structured thought and action, and the generation of new MRs: the concepts EDGING, THINNING, SHAPING, and a meta‐concept, HAND AXE. We show how this constituted a key transition toward the emergence of semantic networks that were self‐organizing, self‐sustaining, and autocatalytic, and we discuss how such networks replicated through social interaction. The model provides a promising approach to unraveling one of the greatest anthropological mysteries: that of why development of the Acheulean hand axe was followed by over a million years of cultural stasis. (shrink)

Locke’s account of personal identity has been highly influential because of its emphasis on a psychological criterion. The same consciousness is required for being the same person. It is not so clear, however, exactly what Locke meant by ‘consciousness’ or by ‘having the same consciousness’. Interpretations vary: consciousness is seen as identical to memory, as identical to a first personal appropriation of mental states, and as identical to a first personal distinctive experience of the qualitative features of one’s own thinking. (...) There is wide agreement, however, that Locke’s theory of personal identity is meant to complement his moral and theological commitments to a system of divine punishment and reward in an afterlife. But these commitments seem to require also a metaphysical criterion, and Locke is insistent that it cannot be substance. The difficulty reconciling the psychological and metaphysical requirements of the theory has led, at worst, to charges of incoherence and, at best, to a slew of interpretations, none of which is widely accepted. (shrink)

The default theory of aesthetic value combines hedonism about aesthetic value with strict perceptual formalism about aesthetic value, holding the aesthetic value of an object to be the value it has in virtue of the pleasure it gives strictly in virtue of its perceptual properties. A standard theory of aesthetic value is any theory of aesthetic value that takes the default theory as its theoretical point of departure. This paper argues that standard theories fail because they theorize from the default (...) theory. (shrink)

The psychological and neurobiological processes underlying moral judgement have been the focus of many recent empirical studies1–11. Of central interest is whether emotions play a causal role in moral judgement, and, in parallel, how emotion-related areas of the brain contribute to moral judgement. Here we show that six patients with focal bilateral damage to the ventromedial prefrontal cortex (VMPC), a brain region necessary for the normal generation of emotions and, in particular, social emotions12–14, produce an abnor- mally ‘utilitarian’ pattern of (...) judgements on moral dilemmas that pit compelling considerations of aggregate welfare against highly emotionally aversive behaviours (for example, having to sacrifice one person’s life to save a number of other lives)7,8. In contrast, the VMPC patients’ judgements were normal in other classes of moral dilemmas. These findings indicate that, for a selective set of moral dilemmas, the VMPC is critical for normal judgements of right and wrong. The findings support a necessary role for emotion in the generation of those judgements. (shrink)

What is the role of self-concept in motivating moral behavior? On one account, when people are primed to perceive themselves as “do-gooders”, conscious access to this positive self-concept will reinforce good behavior. On an alternative account, when people are reminded that they have done their “good deed for the day”, they will feel licensed to behave worse. In the current study, when participants were asked to recall their own good deeds (positive self-concept), their subsequent charitable donations were nearly twice that (...) of participants who recalled bad deeds, or recent conversation topics, consistent with an account of moral reinforcement. In addition, among participants reporting good deeds, those who did not note whether they were recognized or unrecognized by other people donated significantly more than participants who took note of others’ responses. In sum, when people are primed to see themselves as good people, who do good for goodness’ sake, not to obtain public credit, they may be motivated to do more good. (shrink)

This Element aims to present an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. It ranges from the discovery of irrational numbers in ancient Greece to the nineteenth- and twentieth-century discoveries on the nature of infinity and proof. Recurring themes are intuition and logic, meaning and existence, and the discrete and the continuous. These themes have evolved under the influence of new mathematical discoveries and the story of their evolution is, to a (...) large extent, the story of philosophy of mathematics. (shrink)

Wellman argues that legitimate states have a presumptive right to close their borders, excluding all prospective immigrants. He maintains that this right is not outweighed by egalitarian considerations because societies can fulfill their duties to outsiders by transferring aid instead of opening borders. I argue that societies cannot discharge their egalitarian duties by providing aid in at least two cases: when opening borders is the only way to fulfill these duties, and when transferring aid is inconsistent with egalitarian commitments. I (...) also consider additional, non-egalitarian moral considerations that may justify a duty to maintain open borders. I conclude that Wellman fails to prove that states have an actual, all things considered right to close their borders. (shrink)

Locke’s theory of personal identity was philosophically groundbreaking for its attempt to establish a non-substantial identity condition. Locke states, “For the same consciousness being preserv’d, whether in the same or different Substances, the personal Identity is preserv’d” (II.xxvii.13). Many have interpreted Locke to think that consciousness identifies a self both synchronically and diachronically by attributing thoughts and actions to a self. Thus, many have attributed to Locke either a memory theory or an appropriation theory of personal identity. But the former (...) stumble on circularity and the latter is insufficient for Locke’s moral theory insofar as he is committed to a theory of divine rectification. The common problem is that Locke’s theory seems to demand an objective, or metaphysical, fact of a continuing consciousness that does not appeal to a traditional notion of substance for the continuity. I’m suggesting something new. In II.xxvii of the Essay, we see an ambiguity in Locke’s use of the term ‘consciousness’. Locke seems to see consciousness as both a mental state by means of which we are aware of ourselves as perceiving and as the ongoing self we are aware of in these conscious states. First, I make the textual argument why we should read Locke as having a conception of a metaphysical fact of a continuing consciousness that does not appeal to thinking or bodily substance to establish its continuity. I then argue that the metaphysical fact of an enduring consciousness is revealed to us as a phenomenological fact of experience. Due to the nature of certain kinds of perceptual situations we have an experience of ourselves as temporally extended. Although the text bears out that Locke seemed to think there is a fact of an ongoing consciousness, I argue that it is consistent with his reluctance elsewhere that he makes no further epistemological or ontological claims about it. Finally, I provide an account of Locke’s understanding of memory and its relation to consciousness that supports the claim that consciousness is something ontologically distinct from either thinking or bodily substance. (shrink)

The following three related contributions jointly serve to lift up elements of the thought of the anthropolo­gist Gregory Bateson that can be fruitfully compared with elements of Michael Polanyi’s thought. In a brief introduction, William Stillwell reviews Bateson’s life and developing interests. Stillwell also provides, in a creative dialog form akin to Bateson’s own dialogs, a short review article on Noel Charlton’s Understanding Gregory Bateson: Mind, Beauty and the Sacred Earth. The third piece is Jere Moorman’s short 1991 (...) essay (now out of print) discussing Polanyi’s ideas about tacit knowing and their connection with Bateson’s ideas about the double bind. (shrink)

Shelley Burtt,Jérémie Duhamel | : Quelles sont les sources psychologiques de la vertu civique dans la tradition républicaine? Cet article en identifie trois : l’éducation des passions, la manipulation des intérêts et la contrainte du devoir. L’auteure explore chacune de ces sources et conclut qu’une meilleure appréciation de ce qui les distingue est porteuse de nouvelles possibilités pour raviver la vertu républicaine dans le monde moderne. | : What are the psychological sources of civic virtue in the republican tradition? (...) This article identifies three: the education of the passions, the manipulation of interests, and the compulsion to duty. The author explores each and concludes that an appreciation of their distinctions suggests possibilities for reviving republican virtue in the modern world. (shrink)

Illness -- Loneliness -- Violation -- Love.

As a general concept, aesthetic education and art education are connected; to a certain extent, the two can be taken as one or two sides of the same coin. However, the specific questions involved are how they are connected and how to connect them in teaching practice. To answer these questions, I define aesthetic education as more general and theoretical and define art education as less general and more practical, that is, teaching students to read art works. Exploring the answers (...) to the first question, this essay offers an examination of an important aesthetic concept in Chinese art theory, inscape, and relates it to the teaching of how to read Chinese landscape painting. On the one hand, this aesthetic concept... (shrink)

Name der Zeitschrift: Semiotica Jahrgang: 2018 Heft: 221 Seiten: 199-218.

Based on recordings of spontaneous speech of ethnically Chinese Singaporeans who have received an English-medium education, this is a study of the indigenized Singaporean variety of English.