Consider the expansion TS of a theory T by a predicate for a submodel of a reduct T0 of T. We present a setup in which this expansion admits a model companion TS. We show that some of the nice feat...

We study the generic theory of algebraically closed fields of fixed positive characteristic with a predicate for an additive subgroup, called $\mathrm {ACFG}$. This theory was introduced in [16] as a new example of $\mathrm {NSOP}_{1}$ nonsimple theory. In this paper we describe more features of $\mathrm {ACFG}$, such as imaginaries. We also study various independence relations in $\mathrm {ACFG}$, such as Kim-independence or forking independence, and describe interactions between them.

Let A be an abelian variety in an algebraically closed field of characteristic 0. We prove that the expansion of A by a generic divisible subgroup of A with the same torsion exists provided A has few algebraic endomorphisms, namely. The resulting theory is NSOP1 and not simple. Note that there exist abelian varieties A with of any genus.

This thesis is concerned with the expansions of algebraic structures and their fit in Shelah’s classification landscape.The first part deals with the expansion of a theory by a random predicate for a substructure model of a reduct of the theory. Let T be a theory in a language $\mathcal {L}$. Let $T_0$ be a reduct of T. Let $\mathcal {L}_S = \mathcal {L}\cup \{S\}$, for S a new unary predicate symbol, and $T_S$ be the $\mathcal {L}_S$ -theory that axiomatises the (...) following structures: $$ consist of a model $\mathscr {M}$ of T and S is a predicate for a model $\mathscr {M}_0$ of $T_0$ which is a substructure of $\mathscr {M}$. We present a setting for the existence of a model-companion $TS$ of $T_S$. As a consequence, we obtain the existence of the model-companion of the following theories, for $p>0$ a prime number: • $\mathrm {ACF}_p$, $\mathrm {SCF}_{e,p}$, $\mathrm {Psf}_p$, $\mathrm {ACFA}_p$, $\mathrm {ACVF}_{p,p}$ in appropriate languages expanded by arbitrarily many predicates for additive subgroups;• $\mathrm {ACF}_p$, $\mathrm {ACF}_0$ in the language of rings expanded by a single predicate for a multiplicative subgroup;• $\mathrm {PAC}_p$ -fields, in an appropriate language expanded by arbitrarily many predicates for additive subgroups.From an independence relation in T, we define independence relations in $TS$ and identify which properties of are transferred to those new independence relations in $TS$, and under which conditions. This allows us to exhibit hypotheses under which the expansion from T to $TS$ preserves $\mathrm {NSOP}_{1}$, simplicity, or stability. In particular, under some technical hypothesis on T, we may draw the following picture : Configuration $T_0\subseteq T$ Generic expansion $TS$ $T_0 = T$ Preserves stability $T_0\subseteq T$ Preserves $\mathrm {NSOP}_{1}$ $T_0 = \emptyset $ Preserves simplicityIn particular, this construction produces new examples of $\mathrm {NSOP}_{1}$ not simple theories, and we study in depth a particular example: the expansion of an algebraically closed field of positive characteristic by a generic additive subgroup. We give a full description of imaginaries, forking, and Kim-forking in this example.The second part studies expansions of the group of integers by p-adic valuations. We prove quantifier elimination in a natural language and compute the dp-rank of these expansions: it equals the number of independent p-adic valuations considered. Thus, the expansion of the integers by one p-adic valuation is a new dp-minimal expansion of the group of integers. Finally, we prove that the latter expansion does not admit intermediate structures: any definable set in the expansion is either definable in the group structure or is able to “reconstruct” the valuation using only the group operation.prepared by Christian d’Elbée.E-mail: [email protected]: https://choum.net/~chris/page_perso. (shrink)

Journal of Mathematical Logic, Ahead of Print. Given a structure [math] and a stably embedded [math]-definable set [math], we prove tameness preservation results when enriching the induced structure on [math] by some further structure [math]. In particular, we show that if [math] and [math] are stable (respectively, superstable, [math]-stable), then so is the theory [math] of the enrichment of [math] by [math]. Assuming simplicity of [math], elimination of hyperimaginaries and a further condition on [math] related to the behavior of algebraic (...) closure, we also show that simplicity and NSOP1 pass from [math] to [math]. We then prove several applications for tame expansions of weakly minimal structures and, in particular, the group of integers. For example, we construct the first known examples of strictly stable expansions of [math]. More generally, we show that any stable (respectively, superstable, simple, NIP, NTP2, NSOP1) countable graph can be defined in a stable (respectively, superstable, simple, NIP, NTP2, NSOP1) expansion of [math] by some unary predicate [math]. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:OBEYING BAD ORDERS AND SAVING LIVES: THE STORY OF A FRENCH OFFICER Pierre d'Elbée Société Caminno, Paris The story is told that during the Paris riots of 1 848, a military officer received an order to evacuate a certain square by firing upon the "rabble." He left the garrison with his troops and started for the square to be cleared. Upon his arrival, he took up a position (...) with his soldiers who raised their guns to fire upon the crowd. In the profound silence that ensued, he cried: "I have received the order to fire upon the rabble; but as I perceive before me many honest people, I ask them to depart so that I may execute this order." In a few moments, the square was vacant. In circumstances such as these, a decision that saves both others and oneself is not easy to achieve. In such a repressive framework where legal violence is permitted, it is the duty of an officer to obey the order of his superiors, and when we hear or read this story for the first time, we do not see how a happy outcome is possible. The story ought to be dramatic, but what is astonishing is precisely that it is not. We expect the worst, which is what usually happens, the most optimistic among us perhaps hoping secretly for a happy end. But happy endings belong to the universe ofthe marvelous, and life does not resemble a story, as the pessimist murmurs within us. Still, it is the happy ending that in fact occurs, and our astonishment is bound to its improbability. Is it chance? Luck? Inspiration? Premeditation? No doubt there is something of all of this in the officer's decision, and his elegant intervention raises a smile in our skeptical hearts. It testifies that although not easy, one can discover a new way that responds to the secret hope of being really ourselves without getting caught within the web of necessity. Such an attractive path merits no doubt that we dwell on it a little more. 46Pierre d'Elbée Let us follow the officer and imagine we are in his place. It is clear that what is most striking in this story is the moment ofthe face-to-face between the officer and the crowd. It is worthwhile to back up a little, however. From the moment he receives his order to the moment of the face-to-face, the officer must live through some very bad moments: it is no little thing to fire upon a crowd even if legality is on our side. We all know that the worst crimes have been perpetrated under the cover of obedience. Such refuge within authority is rather a hell where one abdicates a part of oneself. The function ofan officer does not stop him from being equally a man, one with feelings, beliefs, values. He knows that the rioters, whatever their fight, cannot be reduced to the term "rabble." Rabble, "rabid," dog. These people deserve no doubt a bit more consideration than that. Who can assert that the riot does not express real sufferings, legitimate rights, slighted dignities? Who could feel comfortable executing the individual who claims his due? A praiseworthy indignation. From that point to justify an heroic ethics of non-violence, is only a small step. "No, I will not fire upon a crowd whose wrong or right deed is to be angry." The officer must undoubtedly have in mind similar thoughts. Inversely, perhaps he justifies himself by saying to himselfthat after all, the rioters disturb the public order. Ifone does not react vigorously and repressively, the riot could degenerate into a general revolution. The order is justified not only by legality but also by a morality ofthe common good. And anyway, ifhe does not empty the square by firing upon the crowd, someone else will. So he might as well do the dirty job himselfto avoid shifting the weight ofthis responsibility onto someone else. And thus, to the devil with such qualms. Life is sufficiently complicated as it is. Let us put it simply: my job as an officer is to obey orders? I obey. On... (shrink)

This volume examines Fichte's notion of the image in the systematic domains of ethics, philosophy of history, political philosophy, philosophy of language, aesthetics, and the philosophy of religion. Der vorliegende Band untersucht Fichtes bildtheoretisches Denken von der Theorie der Einbildungskraft bis in die systematischen Bereiche der Ethik, der Geschichtsphilosophie, der politischen Philosophie, der Sprachphilosophie, der Kunsttheorie und der Religionsphilosophie.

In a case study of the growth of cognitive science, we analyzed the activities of the Cognitive Science Society with a particular emphasis on the multidisciplinary nature of the field. Analyses of departmental affiliations, training back‐grounds, research methodology, and paper citations suggest that the journal Cognitive Science and the Annual Meeting of the Cognitive Science Society are dominated by cognitive psychology and computer science, rather than being an equal division among the constituent disciplines of cognitive science. However, at many levels, (...) a growing percentage of work was found to involve a conjunction of multiple disciplines, such that approximately 30–50% of recent work in the Cognitive Science Society is multidisciplinary. In a questionnaire study of cognitive scientists involved in collaborative research, multidisciplinarity was found to shape the research process and affect the factors associated with successful research. (shrink)

While pointing out important features of cognitive science, Núñez et al. (2019) also argue prematurely for the end of cognitive science. I discuss problematic analytic features in the application of hierarchical cluster analysis to journal citation data. On the conceptual side, I argue that the research programs framework of Lakatos may not be so wisely applied to cognitive science. Further, the diversity of structure in cognitive science departments may represent a rational, strategic adaptation by an interdisciplinary department to cognitive and (...) other resource challenges rather than the sign of low progress on a discipline. (shrink)

How did Elijah Muhammad's establishment of the Nation of Islam affect the civil rights movement in the United States? Philosophers and Religious Leaders answers that question and others as it presents 200 leaders whose lives and work have greatly influenced the world we live in today. Profiles include: Muhammad Abduh—architect of Islamic modernism. Mary Daly— influential feminist theologian and philosopher. Mary Baker Eddy—founder of Christian Science. Mencius (Meng K'o)—Confucian moral philosopher and interpreter. Shang Yang—Chinese philosopher of legalist school.

Teil 1: Entwicklungsgeschichtliche und -- Systematische Aspekte.

Categories, as mental structures, are more than simply sums of property frequencies. A number of recent studies have supported the view that the properties of categories may be organised along functional lines and possibly dependency structures more generally. The study presented here investigates whether earlier findings reflect something unique in the English language/North American culture or whether the functional structuring of categories is a more universal phenomenon. A population of English-speaking Americans was compared to a population of Cantonese-speaking Hong Kong (...) Chinese. The findings clearly support the view that functional influences on category centrality are universal (or at least common to Cantonese-speaking Hong Kong Chinese and English-speaking Americans), albeit with specific cross-cultural/cross-linguistic group differences in the particular properties that are considered central to categories. (shrink)

This paper sketches a new version of the multiverse interpretation of quantum mechanics, the clustered-minds multiverse, that has been presented in detail elsewhere. It briefly shows why it grants us with free will and reflects upon the possibilty of singular-universe explanations of free will. It also critically comments upon S. Sarasvathy's 'choice matters,' one of the other contributions to this mini symposium.

“Fiiirre!” If someone were to shout that while you were in the midst of reading this essay, you would, like most people, stop reading and look around the room for the source of the shout, or the fire itself. You would also consider whether the likelihood of a fire was sufficiently high to cause you to take appropriate action – for example, locate a fire extinguisher, call the fire department, or leave the room. Of course, you have not been sitting (...) around waiting for someone to yell “Fire!” You were engaged in some task (unrelated to fires), yet were able to react to that stimulus. By contrast, if you were a police officer who was being trained at a firing range, you would be doing exactly that (i.e., waiting for someone to yell “Fire!”), and when you heard “Fire,” you would pull the trigger on your weapon, rather than look around for the source of the cry. (shrink)

This article will examine Bellarmine’s first anti–conciliarist work, found in the Disputationes de controversiis Christianae fidei adversus huius temporis haereticos, emphasizing his theological treatment of the pope’s authority relative to the authority of a council and his repudiation of conciliarism. Bellarmine sees the conciliarists as attacking the divinely instituted Petrine structure of the Church. He does not advocate for an absolute papal monarchy in which there are no ‘constitutional’ limitations on the papacy. For Bellarmine, Christ and his Word, as found (...) in Sacred Scripture and Apostolic Tradition, have supreme authority in the Church: one which the magisterium, whether papal or conciliar, must accept in humility and pass on unsullied. Only Christ has a true fullness of power; the pope has a fullness only relative to that of the bishops. Nevertheless, Christ immediately instituted the pope as the supreme head of the Church on earth, and as such, the pope has supreme ecclesiastical power over the whole Church on earth. Lastly, the article examines Bellarmine’s position on papal heresy. (shrink)

An empirically sensitive formulation of the norms of transformative criticism must recognize that even public and shared standards of evaluation can be implemented in ways that unintentionally perpetuate and reproduce forms of social bias that are epistemically detrimental. Helen Longino’s theory can explain and redress such social bias by treating peer evaluations as hypotheses based on data and by requiring a kind of perspectival diversity that bears, not on the content of the community’s knowledge claims, but on the beliefs and (...) norms of the culture of the knowledge community itself. To illustrate how socializing cognition can bias evaluations, we focus on peer-review practices, with some discussion of peer-review practices in philosophy. Data include responses to surveys by editors from general philosophy journals, as well as analyses of reviews and editorial decisions for the 2007 Cognitive Science Society Conference. (shrink)

This study investigated the longer-term impacts of trained peer feedback in comparison with teacher feedback on students’ writing development and writing motivation. Sections of an EFL writing course were randomly assigned to either teacher feedback or trained peer feedback conditions across two semesters. In the first semester, during their writing class, students either received training in how to implement peer feedback or simply studied models of writing. In the second semester, students either received teacher or peer feedback across multiple assignments. (...) Writing competence, writing self-efficacy, and writing self-regulated learning were assessed at the beginning and end of the second semester. Trained peer feedback and teacher feedback had similar positive effects on the improvement of writing competence and writing self-efficacy. However, trained peer feedback led to a significant enhancement of students’ autonomous motivation relative to no such growth from teacher feedback. (shrink)

With only two to five slots of visual working memory (VWM), humans are able to quickly solve complex visual problems to near optimal solutions. To explain the paradox between tightly constrained VWM and impressively complex human visual problem‐solving ability, we propose several principles for dynamic VWM allocation. In particular, we propose that complex visual information is represented in a temporal manner using only a few slots of VWM that include global and local visual chunks. We built a model of human (...) traveling salesman problem solving based on these principles of VWM allocation and tested the model with eye‐movement data. Exactly as the model predicted, human eye movements during traveling salesman problem solving have precise quantitative regularities with regard to both the general statistical pattern of attentional fixations and how they vary across individuals with different VWM capacities. Even though VWM capacity is very limited, eye movements dynamically allocate VWM resources to both local and global information, enabling attention to fine details without loss of the big picture. (shrink)

The psychology of science typically lacks integration between cognitive and social variables. We present a new framework of team innovation in multidisciplinary science and engineering groups that ties factors from both literatures together. We focus on the effects of a particularly challenging social factor, knowledge diversity, which has a history of mixed effects on creativity, most likely because those effects are mediated and moderated by cognitive and additional social variables. In addition, we highlight the distinction between team innovative processes that (...) are primarily divergent versus convergent; we propose that the social and cognitive implications are different for each, providing a possible explanation for knowledge diversity’s mixed results on team outcomes. Social variables mapped out include formal roles, communication norms, sufficient participation and information sharing, and task conflict; cognitive variables include analogy, information search, and evaluation. This framework provides a roadmap for research that aims to harness the power of multidisciplinary teams. (shrink)

We conducted two in vivo studies to explore how scientists respond to anomalies. Based on prior research, we identify three candidate strategies: mental simulation, mental manipulation of an image, and comparison between images. In Study 1, we compared experts in basic and applied domains (physics and meteorology). We found that the basic scientists used mental simulation to resolve an anomaly, whereas applied science practitioners mentally manipulated the image. In Study 2, we compared novice and expert meteorologists. We found that unlike (...) experts, novices used comparison to address anomalies. We discuss the nature of expertise in the two kinds of science, the relationship between the type of science and the task performed, and the relationship of the strategies investigated to scientific creativity. (shrink)

RésuméA partir d'une présentation du mouvement pentecôtiste, l'auteur indique par divers exemples comment une religion de la conversion et de la rupture, même dans ses signes et dans ses rites les plus négateurs de la société ambiante, se nourrit de l'humus socio‐culturel qu'elle conteste. L'auteur défend ainsi la thèse selon laquelle la religion est à la fois, et de manière inextricable, un phénomène spirituel et un phénomène social.SummaryStarting from a representation of the Pentecostal movement, the author gives various examples of (...) how a religion based on conversion and break with the surrounding society, even in its symbols and most denying rites, feeds on the socio‐cultural humus which it repudiates. The author thus defends the thesis that religion is, simultaneously and inextricably a spiritual and a social phenomenon.ZusammenfassungDer Verfasser, ausgehend von einer Darstellung der Pfingstbewegung, zeigt anhand verschiedener Beispiele, wie eine Religion der Bekehrung und des Bruches selbst in den Zeichen und Riten, welche die sie umgebende Gesellschaft am stärksten ablehnen, auf dem sozio‐kulturellen Boden wächst, den sie verneint. Auf diese Weise erhärtet der Verfasser die These, wonach die Religion untrennbar ein geistliches und gesell‐schaftliches Phänomen ist. (shrink)