Common wisdom holds that communication is impossible when messages are costless and communicators have totally opposed interests. This article demonstrates that such wisdom is false. Non-convergent dynamics can sustain partial information transfer even in a zero-sum signalling game. In particular, I investigate a signalling game in which messages are free, the state-act payoffs resemble rock–paper–scissors, and senders and receivers adjust their strategies according to the replicator dynamic. This system exhibits Hamiltonian chaos and trajectories do not converge to equilibria. This persistent (...) out-of-equilibrium behaviour results in messages that do not perfectly reveal the sender's private information, but do transfer information as quantified by the Kullback–Leibler divergence. This finding shows that adaptive dynamics can enable information transmission even though messages at equilibria are meaningless. This suggests a new explanation for the evolution or spontaneous emergence of meaning: non-convergent adaptive dynamics. (shrink)

Lewis signalling games are often used to explain how it is possible for simple agents to develop systems of conventional semantic meaning. In these games, all players obtain identical payoffs in every outcome. This is an unrealistic payoff structure, but it is often employed because it is thought that semantic meaning will not emerge if interests conflict. Here it is shown that not only is conventional meaning possible when interests conflict, but it is the most likely outcome in a finite (...) population model of learning known as the Moran process. On the basis of this result it is suggested that evolutionary game theory’s standard models may yield results that are systematically distorted for a class of signalling games that have the abstract structure of social dilemmas. 1 Introduction2 The Seduction Game3 Imitation Dynamics with Small Mutations4 Dynamics with Unverifiable Message5 Analysis of a Related Three-Strategy Game6 Conclusion. (shrink)

Cooperation and the allocation of common resources are core features of social behavior. Games idealizing both interactions have been studied separately. But here, rather than examining the dynamics of the individual games, the interactions are combined so that players first choose whether to cooperate, and then, if they jointly cooperate, they bargain over the fruits of their cooperation. It is shown that the dynamics of the combined game cannot simply be reduced to the dynamics of the individual games and that (...) both cooperation and fair division are more likely in the combined game than in the constituent games taken separately. (shrink)

We generalize Frécon’s construction of the inevitable radical to groups in stable and even simple theories.

We define an $\mathfrak{R}$-group to be a stable group with the property that a generic element can only be algebraic over a generic. We then derive some corollaries for $\mathfrak{R}$-groups and fields, and prove a decomposition theorem and a field theorem. As a nonsuperstable example, we prove that small stable groups are $\mathfrak{R}$-groups.

We shall define a general notion of dimension, and study groups and rings whose interpretable sets carry such a dimension. In particular, we deduce chain conditions for groups, definability results for fields and domains, and show that a pseudofinite$\widetilde {\mathfrak M}_c$-group of finite positive dimension contains a finite-by-abelian subgroup of positive dimension, and a pseudofinite group of dimension 2 contains a soluble subgroup of dimension 2.

The following theorems are proved about the Frattini-free componentG Φ of a soluble stable ℜ-group: a) If it has a normal subgroupN with nilpotent quotientG Φ/N, then there is a nilpotent subgroupH ofG Φ withG Φ=NH. b) It has Carter subgroups; if the group is small, they are all conjugate. c) Nilpotency modulo a suitable Frattini-subgroup (to be defined) implies nilpotency. The last result makes use of a new structure theorem for the centre of the derivative of the Frattini-free component (...) of a centreless soluble ℜ-group. (shrink)

In this paper we critically examine and seek to extend Philip Kitcher’s Ethical Project to weave together a distinctive naturalistic conception of how ethics came to occupy the place it does in our lives and how the existing ethical project should be revised and extended into the future. Although we endorse his insight that ethical progress is better conceived of as the improvement of an existing state than an incremental approach towards a fixed endpoint, we nonetheless go on to argue (...) that the metaethical apparatus Kitcher constructs around this creative metaethical proposal simply cannot do the work that he demands of it. The prospect of fundamental conflict between different functions of the ethical project requires Kitcher to appeal to a particular normative stance in order to judge specific changes in the ethical project to be genuinely progressive, and we argue that the virtues of continuity and coherence to which he appeals can only specify rather than justify the normative stance he favors. We conclude by suggesting an alternative approach for ethical naturalists that seems to us ultimately more promising than Kitcher’s own. (shrink)

We generalise various properties of quasiendomorphisms from groups with regular generic to small abelian groups. In particular, for a small abelian group such that no infinite definable quotient is connected-by-finite, the ring of quasi-endomorphisms is locally finite. Under some additional assumptions, it decomposes modulo some nil ideal into a sum of finitely many matrix rings.

If * is a binary partial function which happens to be a group law on some infinite subset of some model of a stable theory, then this subset can be embedded into a definable group such that * becomes the group operation.

We show that a stable groupG satisfying certain commutator conditions is nilpotent. Furthermore, a soluble stable group with generically splitting automorphism of prime order is nilpotent-by-finite. In particular, a soluble stable group with a generic element of prime order is nilpotent-by-finite.

In this paper, we shall survey results about the group-theoretic properties of stable groups. These can be classified into three main categories, according to the strength of the assumptions needed: chain conditions, generic types, and some form of rank. Each category has its typical application: Chain conditions often allow us to deduce global properties from local ones, generic properties are used to get definable groups from undefinable ones, and rank is necessary to interpret fields in certain group actions. While originally (...) the main input came from algebraic group theory, founded on the similarities between rank and dimension, increasingly methods borrowed from finite group theory have come to play a rôle, emphasizing the study of characteristic subgroups and characteristic families of subgroups. (shrink)

We prove that a stable solvable group G which satisfies xn = 1 generically is of finite exponent dividing some power of n. Furthermore, G is nilpotent-by-finite. A second result is that in a stable group of finite exponent, involutions either have big centralisers, or invert a subgroup of finite index (which hence has to be abelian).

We define a reasonably well-behaved class of ultraimaginaries, i.e. classes modulo [Formula: see text]-invariant equivalence relations, called tame, and establish some basic simplicity-theoretic facts. We also show feeble elimination of supersimple ultraimaginaries: If [Formula: see text] is an ultraimaginary definable over a tuple [Formula: see text] with [Formula: see text], then [Formula: see text] is eliminable up to rank [Formula: see text]. Finally, we prove some uniform versions of the weak canonical base property.

Non-$n$-ampleness as defined by Pillay [20] and Evans [5] is preserved under analysability. Generalizing this to a more general notion of $\Sigma$-ampleness, this gives an immediate proof for all simple theories of a weakened version of the Canonical Base Property (CBP) proven by Chatzidakis [4] for types of finite SU-rank. This is then applied to the special case of groups.

A totally ordered group G is called coset-minimal if every definable subset of G is a finite union of cosets of definable subgroups intersected with intervals with endpoints in G{±∞}. Continuing work in Belegradek et al. 1115) and Point and Wagner 261), we study coset-minimality, as well as two weak versions of the notion: eventual and ultimate coset-minimality. These groups are abelian; an eventually coset-minimal group, as a pure ordered group, is an ordered abelian group of finite regular rank. (...) Any pure ordered abelian group of finite regular rank is ultimately coset-minimal and has the exchange property; moreover, every definable function in such a group is piecewise linear. Pure coset-minimal and eventually coset-minimal groups are classified. In a discrete coset-minimal group every definable unary function is piece-wise linear 261), where coset-minimality of the theory of the group was required). A dense coset-minimal group has the exchange property ); moreover, any definable unary function is piecewise linear, except possibly for finitely many cosets of the smallest definable convex nonzero subgroup. Finally, we give some examples and open questions. (shrink)

A totally ordered group G is essentially periodic if for every definable non-trivial convex subgroup H of G every definable subset of G is equal to a finite union of cosets of subgroups of G on some interval containing an end segment of H; it is coset-minimal if all definable subsets are equal to a finite union of cosets, intersected with intervals. We study definable sets and functions in such groups, and relate them to the quasi-o-minimal groups introduced in Belegradek (...) et al. . Main results: An essentially periodic group G is abelian; if G is discrete, then definable functions in one variable are ultimately piecewise linear. A group such that every model elementarily equivalent to it is coset-minimal is quasi-o-minimal , and its definable functions in one variable are piecewise linear. (shrink)

We reconstruct the group action in the group configuration theorem. We apply it to show that in an ω-categorical theory a finitely based pseudolinear regular type is locally modular, and the geometry associated to a finitely based locally modular regular type is projective geometry over a finite field.

We study local strengthenings of the simplicity condition. In particular, we define and study a local Lascar rank, as well as short, low, supershort and superlow theories. An example of a low, non supershort theory is given.

In a simple CM-trivial theory every hyperimaginary is interbounded with a sequence of finitary hyperimaginaries. Moreover, such a theory eliminates hyperimaginaries whenever it eliminates finitary hyperimaginaries. In a supersimple CM-trivial theory, the independence relation is stable.

If G is an omega-stable group with a normal definable subgroup H, then the Sylow-2-subgroups of G/H are the images of the Sylow-2-subgroups of G. /// Sei G eine omega-stabile Gruppe und H ein definierbarer Normalteiler von G. Dann sind die Sylow-2-Untergruppen von G/H Bilder der Sylow-2-Untergruppen von G.

1. We show that if p is a real type which is internal in a set $\sigma$ of partial types in a simple theory, then there is a type p' interbounded with p, which is finitely generated over $\sigma$ , and possesses a fundamental system of solutions relative to $\sigma$ . 2. If p is a possibly hyperimaginary Lascar strong type, almost \sigma-internal$ , but almost orthogonal to $\sigma^{\omega}$ , then there is a canonical non-trivial almost hyperdefinable polygroup which multi-acts (...) on p while fixing $\sigma$ generically. In case p is $\sigma-internal$ and T is stable, this is the binding group of p over \sigma$. (shrink)

An elliptic curve over a supersimple field with exactly one extension of degree 2 has an s-generic point.

We show that if p is a real type which is almost internal in a formula φ in a simple theory, then there is a type p' interalgebraic with a finite tuple of realizations of p, which is generated over φ. Moreover, the group of elementary permutations of p' over all realizations of φ is type-definable.

If ${\mathfrak {F}}$ is a type-definable family of commensurable subsets, subgroups or subvector spaces in a metric structure, then there is an invariant subset, subgroup or subvector space commensurable with ${\mathfrak {F}}$. This in particular applies to type-definable or hyper-definable objects in a classical first-order structure.

A utilização das plantas pela espécie humana ocorre das mais variadas maneiras, principalmente, na alimentação, vestimenta, no tratamento e cura de doenças. Dentre os grupos culturais que usam as plantas medicinais, encontram-se os povos remanescentes dos quilombos. O conhecimento que os quilombolas possuem é baseado em valores, símbolos, crenças e mitos. Hábitos e costumes estão diretamente envolvidos com o ambiente e esta relação permitiu que estas comunidades acumulassem conhecimentos. Deste modo, a Lei nº 10.639/2003 tornou obrigatório o ensino sobre História (...) e Cultura Afro-Brasileira em instituições de ensino. Assim, o presente relato de experiência foi realizado por intermédio de uma intervenção, desenvolvida em três encontros e uma visita à UESB, sendo um conjunto de atividades mediadas pelo professor, que permite aos discentes questionar, sanar dúvidas e realizar ações. Assim, as visitas ao HUESB e ao LPN contribuíram para que os estudantes fizessem uma associação entre o conhecimento popular e o conhecimento científico e entendessem como esses estão entrelaçados, bem como perceber a relevância de ambos os conhecimentos para a história da Ciência. Palavras-chave: Educação informal; Pedagogia crítica; Educação Quilombola. (shrink)

Propomos neste texto examinar o papel das disposições (Stimmungen), e, particularmente, das chamadas “disposições fundamentais” na construção da pergunta heideggeriana pela historicidade da história. Nós partimos da pergunta pela historicidade da história da filosofia para a análise do papel hermenêutico cumprido pela angústia na analítica da cotidianidade em Ser e Tempo, procurando esclarecer a conexão dessa disposição com o conceito de historicidade tal como tratado nessa obra. Em seguida, tratamos da maneira como são pensadas as disposições em Conceitos fundamentais da (...) metafísica, obra na qual Heidegger explicitamente pensa a disposição do tédio como característica de uma época. Uma vez que mostramos como podemos entender as disposições em geral em sentido historial, retomamos a análise da angústia, e, a partir da discussão de sua estrutura tal como apresentada em Ser e Tempo, perguntamos pela relação específica da angústia com a questão da historicidade, no que ela significa para o projeto de Ser e Tempo e para a obra posterior de Heidegger. (shrink)

Dans cet essai, nous voudrions contribuer à offrir une compréhension adéquate de l’usage par Quine du prédicat de vérité dans la formulation des lois logiques. L’enjeu est central : puisque la « logique poursuit la vérité dans l’arbre de la grammaire » en généralisant sur des phrases exemplifiant la même structure logique au moyen du prédicat de vérité, commettre un contresens sur ce point, c’est se rendre incapable de comprendre adéquatement la relation interne entre logique et vérité. La méthode adoptée (...) consiste à corriger certaines confusions répandues au sujet de la relation entre logique, vérité et montée sémantique. (shrink)

O propósito deste artigo é a exposição de momentos chave da crítica schellingiana à filosofia idealista como forma de compreender o estatuto da filosofia positiva buscada por Schelling em sua obra madura. A crítica de Schelling, dirigida aos resultados negativos da filosofia formal de seus contemporâneos, é contraposta à busca pela positividade na natureza, na mitologia, na história, na religião, em vista da “natureza extralógica da existência”, que se rebela contra a conformação da totalidade do que pode ser conhecido a (...) uma ordem necessária. Embora o projeto da filosofia positiva seja elaborado a partir da década de 1820, já em suas primeiras obras encontramos elementos de sua crítica à pretensão de subsumir em um sistema filosófico a totalidade da realidade.Palavras-chave: Schelling. Idealismo alemão. Filosofia positiva. Sistema da filosofia. (shrink)

The aim of this article is to restore the radicality of W. V. O. Quine's argument against deviant logics, as found in Philosophy of Logic. The objective of this argument is to expose the emptiness of the concept of deviant logic, i.e., its nonsense. To give an account of this requires taking the full measure of the anti-psychological dimension of Quine's argument. Thus, I try to show that Quine's most radical challenge does not consist in pointing out to the deviant (...) logician that changing logical laws means changing the meaning of logical constant terms. (shrink)

Este relato pretende partilhar e refletir sobre o que pode significar o início da mudança e os limites das novas aprendizagens, bem como os seus momentos de crise na prática, a serviço de um futuro decolonial. O projeto Trilha Jovem nasce da intersecção de duas questões socioeconômicas articuladas: a busca pela inserção social e profissional de jovens, especialmente aqueles oriundos de famílias em situação de vulnerabilidade e risco; e projetos na área de sustentabilidade. Criamos oportunidades de aprendizado ancoradas a projetos (...) realizados com temas sustentáveis. Nesse cenário, é possível desenvolver pequenos e grandes movimentos sociais juvenis, baseados em programas e redes de aprendizagem. Desta maneira, buscamos desenvolver temas de projeto que reflitam práticas de empatia e cuidado, abrangendo contextos sociais negligenciados pela sociedade de modo a incentivar e/ou estimular um olhar significativo ao meio ambiente. (shrink)

Na perspectiva de que nosso presente está construído sobre muitas injustiças, a pesquisa busca por meio de uma releitura da obra “Memórias de Auschwitz”: atualidade moral e política , de Reyes Mate, resgatar questões ligadas diretamente aos relatos dos sobreviventes, feitos a partir de um roteiro previamente estabelecido, cuja natureza, intenção e resultados são induzidos a questionamentos e reflexões. No limiar do trabalho há também um levante sobre a luz da ética e moral dentro das considerações a respeito das características (...) intrínsecas ao testemunho , e a de seu proferidor fundamentado nos testemunhos dos sobreviventes, não só pela veracidade da narrativa, mas principalmente sob a ótica e perspectiva sobre o quanto vale a sobrevivência, em razão da ideia de o que está em jogo é a humanidade. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Platonopolis: Platonic Political Philosophy in Late AntiquityMichael F. WagnerDominic J. O'Meara. Platonopolis: Platonic Political Philosophy in Late Antiquity. Oxford: Clarendon Press, 2003. Pp. xi + 249. Cloth, $55.00.Porphyry tells of Plotinus's failed petition to emperor Gallienus to (re)establish a "city of philosophers" conformed to Plato's laws, named Platonopolis (Vit. Plo.12). O'Meara here articulates primary themes and developments in philosophical political thought in the classical Neoplatonic period, from Plotinus's (...) day in the mid-third century into the sixth century. Concurrently, he addresses head on "the conventional view that the Platonist philosophers of Late Antiquity had no political philosophy" (3). This view exemplifies the more general perspective that the Neoplatonists were simply disinterested in this-worldly affairs in lieu of "an immaterial world... our true 'homeland,' where we can at last attain the good we desire" (3). Consequently, O'Meara provides both a unique study of an important [End Page 205] topic and a compelling case for a more complete, balanced understanding of Neoplatonic other-worldly-ness. O'Meara's study covers key figures from four main groups of (neo)Platonists: Plotinus and his students; the schools in Syria and Asia Minor inspired by Iamblichus; the Athenian school (Plutarch, Proclus, Damascius et al.); and the Alexandrian school (Hyapatia, Philoponus, Olympiodorus et al.). He organizes his investigation (chapters) into three Parts.The pivotal concept in O'Meara's two-pronged endeavor is divinization - "assimilation and unification, as far as possible, to god" (31, Proclus) - a concept whose meaning for classical Neoplatonists ranges from "becoming a god" to "imitating some form of divine life, in one way or another" (31). Part I focuses on the Neoplatonists' shared association of a human soul's divinization with virtue-osity [my jargon], beginning with Plotinus's distinction between political virtue(s) and purification—or purificatory virtue(s). O'Meara emphasizes the relevance of the resulting "scale of virtues" to a life of continued activity—for example explicating Plotinus's denial that a "purified" soul is somehow exempt from the rightness-of-acting expected of the politically virtuous soul: rather, "reaching higher principles and different measures he will act [directly, immediately] according to these" (43, En. I,2,7).Another organizing theme as O'Meara's investigations proceed beyond Plotinus is the significance of the increasing complexities of particular Neoplatonic metaphysical systems, and so also of their moral systems - e.g. their "scales of virtue." Part I also articulates related attempts (beginning with Porphyry and Iamblichus) to articulate programs of moral and philosophical study - i.e. a related "scale of sciences." Of special note here are proposals by some Neoplatonists to divide the "practical sciences" associated on this scale with political virtuousness into legislative science(s) and judicial science (56). Implicit in the Neoplatonic scale(s) of virtue(s) was the thesis that as one progresses towards divinization "lower" virtue-osity is not transcended in the sense of lost or dismissed but rather it is included or incorporated into a higher form. Arguably, "lower" sciences are likewise not merely aids or stepping-stones towards something "higher," but genuine topoi of study and knowledge in their own right.Part II is the true heart of O'Meara's outstanding scholarly and philosophical inquiry. Here is where he fulfills his intent to discern a substantive tradition of political philosophy and to articulate its key themes and concepts. Though he associates this part of his investigation with Plato's conceit of the philosopher's return to the cave, he immediately parses this "descent" as a "divinization of political life through philosophy" (71). He articulates various Neoplatonists' approaches to questions inspired by Plato's cave allegory—e.g. Is the philosopher socially obligated to "return"? Could s/he then still be happy? (His investigation here does seem to overlook Neoplatonic conceptions of choice, volition, or will as these might pertain to such questions.) O'Meara recognizes, however, that the more fundamental link between Neoplatonic metaphysics and Neoplatonic ethical-political thought derives from Plotinus's conception "of fecundity, of an [overflowing] abundance" (74) in his highest One, and so in a soul assimilated to It. In Proclus's formulation: "that which... (shrink)

Após uma breve análise do problema da relação de relevancia entre o antecedente e o consequente de um condicional, fazemos uma análise de qual deve ser a estrutura de um critério de adequação para uma definição de relevancia em uma demonstração.

Tendo como pano de fundo a concepção de filosofia, explora-se os diferentes tratamentos do tema da subjetividade conferidos pelo Tractatus e pela obra do que se convencionou chamar de “II Wittgenstein”. A concepção prática do significado inaugurada por esta, a despeito de significar uma drástica ruptura com o espírito do Tractatus, funda-se na preservação do antipsicologismo. Tem-se, portanto, a conciliação entre a concepção prática de significado e o antipsicologismo característico da lógica sublime do Tractatus, da qual o II Wittgenstein se (...) desfaz.AbstractHaving a conception of philosophy in the backgound, I investigate different approaches concerning the topic of subjectivism in the Tractatus and thoughout the writings of what is commonly called as “II Wittgenstein”. The practical conception of meaning that steam from those writings, in spite of being a shift with regards to that of the Tractatus, is based on the preservation of the anti-psychologism. Therefore, there is a conciliation between the practical conception of meaning and the anti-psychologism, by means of which, in the Tractatus, logic is something sublime, which is discarded by the II Wittgenstein. (shrink)

El reto de la sofística obligó a Platón a afirmar el juego recíproco de Nomos y Logos, de ley y medida, para poder sostener debidamente la ilustración de la comunidad política en su intercambio retórico constante. La sofística demostró que el Nomos absoluto no existe y que son los hombres quienes tienen que forjarlo. Sobre la racionalidad de la retórica se erigió la sofística, cuyo objetivo fue ganar ilustración para las decisiones públicas. Retórica y sofística ven correctamente que la acción (...) política razonable está mediatizada por el lenguaje, pero caen en un error al asumir el Logos como mero instrumento o estrategia individuales, pues ello hace estallar la comunidad política. El saber como dialéctica es una respuesta de Platón a la lucha de opiniones que practican los sofistas. El saber es saber en la opinión, reflexión inmanente a la praxis, siempre abierta a la corrección. (shrink)

This paper completes the proof of the group configuration theorem for simple theories started in [1]. We introduce the notion of an almost hyperdefinable structure, and show that it has a reasonable model theory. We then construct an almost hyperdefinable group from a polygroup chunk.

The aim of this study was to analyze the association between physical activity and eating habits during the COVID-19 pandemic among Brazilian adults. A sample of 1,929 participants answered an online survey, however 1,874 were included in the analysis. The impact of the COVID-19 pandemic on eating habits was assessed inquiring about participants' intake of fruits, vegetables, fried foods, and sweets during the pandemic. Physical activity was assessed by asking participants about their weekly frequency, intensity and number of minutes/hours engaging (...) in structured physical activities per week. Participants were then stratified into categories based on moderate-to-vigorous intensity and into active or inactive. Increased sweets consumption was the most commonly reported change to eating habits, followed by an increase in the consumption of vegetables, fruits, and fried foods. Physical activity practice was related to lower consumption of fried foods and sweets. A cluster analysis revealed subjects with higher the level of physical activity was more likely to follow a healthy diet. Thus, physical activity was positively associated with healthier eating habits. Health authorities must recommend regular physical as a strategy to improve overall health during the COVID-19 pandemic. Future studies should address the physical activity interventions to improve health status during a pandemic. (shrink)

We define a generalized notion of rank for stable theories without dense forking chains, and use it to derive that every type is domination-equivalent to a finite product of regular types. We apply this to show that in a small theory admitting finite coding, no realisation of a nonforking extension of some strong type can be algebraic over some realisation of a forking extension.

ABSTRACTWhat is the relation between ethical reflection and moral behavior? Does professional reflection on ethical issues positively impact moral behaviors? To address these questions, Schwitzgebel and Rust empirically investigated if philosophy professors engaged with ethics on a professional basis behave any morally better or, at least, more consistently with their expressed values than do non-ethicist professors. Findings from their original US-based sample indicated that neither is the case, suggesting that there is no positive influence of ethical reflection on moral action. (...) In the study at hand, we attempted to cross-validate this pattern of results in the German-speaking countries and surveyed 417 professors using a replication-extension research design. Our results indicate a successful replication of the original effect that ethicists do not behave any morally better compared to other academics across the vast majority of normative issues. Yet, unlike the original study, we found mixed results o... (shrink)