Does every partial order of singular cofinality λ have an antichain of size ? This is the Singular Cofinality Conjecture. M. Pouzet proved [M. Pouzet, Parties cofinales des ordres partiels ne contenant pas d’antichaines infinies, 1980, preprint] that there must be an infinite antichain. When is uncountable, the positive answer is only consistently true, but unknown in ZFC. In this note we investigate this question from the purely set-theoretic point of view. On the way, we answer a question of Milner (...) and Pouzet from [E.C. Milner, M. Pouzet, Posets with singular cofinality, 1997, preprint]. (shrink)

Research heuristics—implicit rules used to guide work on a scientific problem—are explored for their role in guiding psychological research. Work on the psychology of creativity is used to illustrate how heuristics have guided research. We examine the influence of three heuristics: the trilogy-of-mind heuristic, the emotions-as-moods heuristic, and the analysis-of-variance heuristic. This analysis of multiple heuristics provides a new way to understand the state of research on creativity. In the discussion, the analysis is extended to other heuristics and to how (...) heuristics may help as well as hinder innovative research. (shrink)

The present paper shows how one might model Everettian quantum mechanics using hyperfinitely many worlds. A hyperfinite model allows one to consider idealized measurements of observables with continuous-valued spectra where different outcomes are associated with possibly infinitesimal probabilities. One can also prove hyperfinite formulations of Everett’s limiting relative-frequency and randomness properties, theorems he considered central to his formulation of quantum mechanics. Finally, this model provides an intuitive framework in which to consider no-collapse formulations of quantum mechanics more generally.

The paper includes a series of letters exchanged between the author and the late Professor Feyerabend, concerning the best "method" for military intelligence, as a test case for the role of conceptual frameworks in philosophy of science. The letters deal with issues like: Is it possible to make an intelligence estimate without a conceptual framework? Does such a framework have any 'positive' role? If so, how should a conceptual framework in intelligence be built? What risks lurk within it? Is it (...) possible to indicate methods for intelligence estimates which are 'better' and more 'successful' than others? (shrink)

We study thorn forking and rosiness in the context of continuous logic. We prove that the Urysohn sphere is rosy (with respect to finitary imaginaries), providing the first example of an essentially continuous unstable theory with a nice notion of independence. In the process, we show that a real rosy theory which has weak elimination of finitary imaginaries is rosy with respect to finitary imaginaries, a fact which is new even for discrete first-order real rosy theories.

Mechanism realists assert the existence of mechanisms as objective structures in the world, but their exact metaphysical commitments are unclear. We introduce Local Hierarchy Realism (LHR) as a substantive and plausible form of mechanism realism. The limits of LHR reveal a deep tension between two aspects of mechanists’ explanatory strategy. Functional decomposition identifies locally relevant entities and activities, while these same entities and activities are also embedded in a nested hierarchy of levels. In principle, a functional decomposition may identify entities (...) engaging in causal interactions that crosscut the hierarchical structure of composition relations, violating the mechanist’s injunction against interlevel causation. We argue that this possibility is realized in the example of ephaptic coupling, a subsidiary process of neural computation that crosscuts the hierarchy derived from synaptic transmission. These considerations undermine the plausibility of LHR as a general view, yet LHR has the advantages that (i) its metaphysical implications are precisely stateable; (ii) the structure it identifies is not reducible to mere aggregate causation; and (iii) it clearly satisfies intuitive and informal definitions of mechanism. We conclude by assessing the prospects for a form of mechanism realism weaker than LHR that nevertheless satisfies all three of these requirements. (shrink)

In the age of the `return to the empirical' in which the theoretical disputes of an earlier era seem to have fallen silent, we seek to excavate the intellectual conditions for reviving theoretical debate, for it is upon this recovery that deeper understanding of the nature and purpose of empirical social science depends. We argue against the all too frequent turn to ontology, whereby critical realists have sought an epistemological guarantor of sociological validity. We seek, to the contrary, to crystallize (...) a culturally-based, hermeneutic account of a rational social science. Derived from disputes within the sociology of culture, on the one hand, and the long-standing concerns of interpretive philosophy, on the other, we offer a cultural-sociological approach to epistemology. We view the production of truth in social science as a reading of a meaningful social world, and as a performance of truth-claims that is constrained by evidence, but whose success depends on other contextual factors. We conclude that the rationality of social science can be achieved only by forgoing ontology. Theories are abstractions of investigators' meanings that allow the interpretation of social meanings in turn, whether those are actions, relations, or structures. Successful explanations are those that intertwine these meaning structures of investigators and actors in an effective way. (shrink)

We present a decision-theoretically motivated notion of contraction which, we claim, encodes the principles of minimal change and entrenchment. Contraction is seen as an operation whose goal is to minimize loses of informational value. The operation is also compatible with the principle that in contracting A one should preserve the sentences better entrenched than A (when the belief set contains A). Even when the principle of minimal change and the latter motivation for entrenchment figure prominently among the basic intuitions in (...) the works of, among others, Quine and Ullian (1978), Levi (1980, 1991), Harman (1988) and Gärdenfors (1988), formal accounts of belief change (AGM, KM – see Gärdenfors (1988); Katsuno and Mendelzon (1991)) have abandoned both principles (see Rott (2000)). We argue for the principles and we show how to construct a contraction operation, which obeys both. An axiom system is proposed. We also prove that the decision-theoretic notion of contraction can be completely characterized in terms of the given axioms. Proving this type of completeness result is a well-known open problem in the field, whose solution requires employing both decision-theoretical techniques and logical methods recently used in belief change. (shrink)

This book investigates how knowledge is conceived and explored within the African context. Epistemology, or the philosophical theory of knowledge, has historically been dominated by western philosophers, but this book shines a much-needed spotlight on knowledge systems originating within the African continent. Bringing together key voices from across the field of African philosophy, this book explores the nature of knowledge systems across the continent and how they are rooted in Africans' ontological sense of being and self. At a time when (...) moves to decolonize curricula are gaining momentum, this book shows how understanding the specific ways of knowing that form part of the every day life of the African, will play an important part in rebalancing studies of Philosophy globally. Employing critical, conceptual and rigorous analyses of the nature and essence of knowledge as understood by indigenous African societies, the book ultimately asks what could pass as an African theory of knowledge. This important guide to the connections between knowledge and being, in African philosophical thought, will be an important resource for researchers and students of philosophy and African Studies. (shrink)

The present paper shows how one might model Everettian quantum mechanics using hyperfinitely many worlds. A hyperfinite model allows one to consider idealized measurements of observables with continuous-valued spectra where different outcomes are associated with possibly infinitesimal probabilities. One can also prove hyperfinite formulations of Everett’s limiting relative-frequency and randomness properties, theorems he considered central to his formulation of quantum mechanics. Finally, this model provides an intuitive framework in which to consider no-collapse formulations of quantum mechanics more generally.

Mechanistic explanation involves the attribution of functions to both mechanisms and their component parts, and function attribution plays a central role in the individuation of mechanisms. Our aim in this paper is to investigate the impact of a perspectival view of function attribution for the broader mechanist project, and specifically for realism about mechanistic hierarchies. We argue that, contrary to the claims of function perspectivalists such as Craver, one cannot endorse both function perspectivalism and mechanistic hierarchy realism: if functions are (...) perspectival, then so are the levels of a mechanistic hierarchy. We illustrate this argument with an example from recent neuroscience, where the mechanism responsible for the phenomenon of ephaptic coupling cross-cuts the more familiar mechanism for synaptic firing. Finally, we consider what kind of structure there is left to be realist about for the function perspectivalist. (shrink)

Mentoring Away the Glass Ceiling in Academia: A Cultured Critique describes how women of diverse backgrounds perceive their mentoring experiences or the lack of mentoring experiences in the academy. This book provides a space for envisioning strategies and practices to improve mentoring practices and the collegiate environment.

We study ultraproducts of finite residue rings \ where \ is a non-principal ultrafilter. We find sufficient conditions of the ultrafilter \ to determine if the resulting ultraproduct \ has simple, NIP, \ but not simple nor NIP, or \ theory, noting that all these four cases occur.

The randomization of a complete first-order theory [Formula: see text] is the complete continuous theory [Formula: see text] with two sorts, a sort for random elements of models of [Formula: see text] and a sort for events in an underlying atomless probability space. We study independence relations and related ternary relations on the randomization of [Formula: see text]. We show that if [Formula: see text] has the exchange property and [Formula: see text], then [Formula: see text] has a strict independence (...) relation in the home sort, and hence is real rosy. In particular, if [Formula: see text] is o-minimal, then [Formula: see text] is real rosy. (shrink)

ḳunṭres 1. ʼOr ha-emunah --ḳunṭres 2. Śimḥah ṿe-hitḥazḳut, ha-derekh le-hatsalah li-nevukhim.

Busca identificar as produções acadêmicas dos egressos dos cursos de mestrado e doutorado do Programa de Pós-graduação em Ciência da Informação da Universidade Federal da Paraíba que possuem eixos temáticos relacionados às tecnologias da informação e comunicação, a fim de subsidiar a inquietação que originou a questão norteadora da pesquisa, a saber: Existe interesse dos pesquisadores da CI em discutir criticamente acerca da fundamentação, consistência e qualidade das informações produzidas e compartilhadas perante o alto índice de produção e disseminação ocasionado (...) pelo avanço das TICs e, que trazem em sua essência posicionamentos críticos-reflexivos quanto à produção, uso e compartilhamento das informações diante do progresso dessas tecnologias. A pesquisa traz resultados quantitativos e qualitativos sobre os discentes e docentes do PPGCI/UFPB quanto aos interesses e posicionamentos críticos dos seus pesquisadores. Enfatiza a preocupação com a necessidade de habilitar os usuários das TICs para melhor aproveitar a dinamicidade e a capacidade produtiva e de compartilhamento resultantes dos avanços tecnológicos. (shrink)

Mechanism realists assert the existence of mechanisms as objective structures in the world, but their exact metaphysical commitments are unclear. We introduce Local Hierarchy Realism (LHR) as a substantive and plausible form of mechanism realism. The limits of LHR reveal a deep tension between two aspects of mechanists’ explanatory strategy. Functional decomposition identifies locally relevant entities and activities, while these same entities and activities are also embedded in a nested hierarchy of levels. In principle, a functional decomposition may identify entities (...) engaging in causal interactions that crosscut the hierarchical structure of composition relations, violating the mechanist’s injunction against interlevel causation. We argue that this possibility is realized in the example of ephaptic coupling, a subsidiary process of neural computation that crosscuts the hierarchy derived from synaptic transmission. These considerations undermine the plausibility of LHR as a general view, yet LHR has the advantages that (i) its metaphysical implications are precisely stateable; (ii) the structure it identifies is not reducible to mere aggregate causation; and (iii) it clearly satisfies intuitive and informal definitions of mechanism. We conclude by assessing the prospects for a form of mechanism realism weaker than LHR that nevertheless satisfies all three of these requirements. (shrink)

Purpose: The purpose of this article is to examine the unique challenges faced by choir directors in Ghana and provide recommendations for managing and thriving in this context. It aims to highlight the importance of resilience, resourcefulness, and cultural sensitivity in navigating the funding constraints, limited resources, intense competition, and cultural expectations that characterize the Ghanaian choir environment. Methodology: The methodology used in this article is not explicitly stated. However, the recommendations and insights provided are based on a combination of (...) scholarly research, professional experiences, and observations related to choir management in Ghana. The authors gathered data through a literature review, interviews, and observations to understand the challenges faced by choir directors and identify effective strategies for managing them. Findings: The findings of this study suggest that choir directors in Ghana can overcome challenges and contribute to the country's musical heritage by implementing specific strategies. These include seeking diverse funding sources, engaging with local businesses, cultural organizations, and government agencies for financial support, promoting the unique qualities of their choirs, and emphasizing cultural authenticity, repertoire diversity, and innovative performances to attract audiences and sponsors. Recommendations: The theoretical ideas that informed this article's recommendations and the actual experiences that took place in the Ghanaian choir context validated them. The authors likely drew upon their expertise, scholarly research, and consultation with practitioners to develop and validate these recommendations. They should seek diverse funding sources, engage with local businesses and organizations, and promote the unique qualities of their choirs to attract audiences and sponsors. Policymakers are encouraged to support the development and sustainability of choirs in Ghana by recognizing their cultural significance and providing financial and logistical support. Policies that promote the arts, cultural preservation, and community engagement can contribute to the growth and success of choirs. Additionally, policies addressing funding constraints and resource limitations can alleviate some of the challenges faced by choir directors, enabling them to thrive and contribute to Ghana's musical landscape. The article aims to inspire and guide directors in managing choirs in Ghana, highlighting the potential for cultural enrichment and artistic excellence within this unique context. (shrink)

In the paper Randomizations of Scattered Sentences, Keisler showed that if Martin’s axiom for aleph one holds, then every scattered sentence has few separable randomizations, and asked whether the conclusion could be proved in ZFC alone. We show here that the answer is “yes”. It follows that the absolute Vaught conjecture holds if and only if every \-sentence with few separable randomizations has countably many countable models.

We study the relationship between fields of transseries and residue fields of convex subrings of non-standard extensions of the real numbers. This was motivated by a question of Todorov and Vernaeve, answered in this paper.