Regular musical activity as a complex multimodal lifestyle activity is proposed to be protective against age-related cognitive decline and Alzheimer’s disease. This cross-sectional study investigated the association and interplay between musical instrument playing during life, multi-domain cognitive abilities and brain morphology in older adults from the DZNE-Longitudinal Cognitive Impairment and Dementia Study study. Participants reporting having played a musical instrument across three life periods were compared to controls without a history of musical instrument playing, well-matched for reserve proxies of education, (...) intelligence, socioeconomic status and physical activity. Participants with musical activity outperformed controls in global cognition, working memory, executive functions, language, and visuospatial abilities, with no effects seen for learning and memory. The musically active group had greater gray matter volume in the somatosensory area, but did not differ from controls in higher-order frontal, temporal, or hippocampal volumes. However, the association between gray matter volume in distributed frontal-to-temporal regions and cognitive abilities was enhanced in participants with musical activity compared to controls. We show that playing a musical instrument during life relates to better late-life cognitive abilities and greater brain capacities in OA. Musical activity may serve as a multimodal enrichment strategy that could help preserve cognitive and brain health in late life. Longitudinal and interventional studies are needed to support this notion. (shrink)

We study hyperdefinable groups, the most general kind of groups interpretable in a simple theory. After developing their basic theory, we prove the appropriate versions of Hrushovski's group quotient theorem and the Weil–Hrushovski group chunk theorem. We also study locally modular hyperdefinable groups and prove that they are bounded-by-Abelian-by-bounded. Finally, we analyze hyperdefinable groups in supersimple theories.

A type analysable in one-based types in a simple theory is itself one-based.

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)

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.

Si C est une pseudo-variété, alors un groupe supersimple résiduellement C est nilpotent-par-poly-C. If C is a pseudo-variety, then a supersimple residually C group is nilpotent-by-poly-C.

If K is a field of finite Morley rank, then for any parameter set $A \subseteq K^{eq}$ the prime model over A is equal to the model-theoretic algebraic closure of A. A field of finite Morley rank eliminates imaginaries. Simlar results hold for minimal groups of finite Morley rank with infinite acl( $\emptyset$ ).

We prove that a stable solvable group $G$ which satisfies $x^n = 1$ 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 an R-group to be a stable group with the property that a generic element (for any definable transitive group action) can only be algebraic over a generic. We then derive some corollaries for R-groups and fields, and prove a decomposition theorem and a field theorem. As a nonsuperstable example, we prove that small stable groups are R-groups.

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.

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.

We define a generalized version of CM-triviality, and show that in the presence of enough regular types, or solubility, a stable CM-trivial group is nilpotent-by-finite. A torsion-free small CM-trivial stable group is abelian and connected. The first result makes use of a generalized version of the analysis of bad groups.

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 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).

An infinite field with only countably many pure types is algebraically closed.

We define the notion of generic for an arbitrary subgroup H of a stable group, and show that H has a definable hull with the same generic properties. We then apply this to the theory of stable fields.

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

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)

JOHN CORCORAN AND WAGNER SANZ, Disbelief Logic Complements Belief Logic. Philosophy, University at Buffalo, Buffalo, NY 14260-4150 USA E-mail: [email protected] Filosofia, Universidade Federal de Goiás, Goiás, GO 74001-970 Brazil E-mail: [email protected] -/- Consider two doxastic states belief and disbelief. Belief is taking a proposition to be true and disbelief taking it to be false. Judging also dichotomizes: accepting a proposition results in belief and rejecting in disbelief. Stating follows suit: asserting a proposition conveys belief and denying conveys disbelief. (...) Traditional logic implicitly focused on logical relations and processes needed in expanding and organizing systems of beliefs. Deducing a conclusion from beliefs results in belief of the conclusion. Deduction presupposes consequence: one proposition is a consequence of a set of a propositions if the latter logically implies the former. The role of consequence depends on its being truth-preserving: every consequence of a set of truths is true. This paper, which builds on previous work by the second author, explores roles of logic in expanding and organizing systems of disbeliefs. Aducing a conclusion from disbeliefs results in disbelief of the conclusion. Aduction presupposes contrequence: one proposition is a contrequence of a set of propositions if the set of negations or contradictory opposites of the latter logically implies that of the former. The role of contrequence depends on its being falsity-preserving: every contrequence of a set of falsehoods is false. A system of aductions that includes, for every contrequence of a given set, an aduction of the contrequence from the set is said to be complete. Historical and philosophical discussion is illustrated and enriched by presenting complete systems of aductions constructed by the second author. One such, a natural aduction system for Aristotelian categorical propositions, is based on a natural deduction system attributed to Aristotle by the first author and others. ADDED NOTE: Wagner Sanz reconstructed Aristotle’s logic the way it would have been had Aristole focused on constructing “anti-sciences” instead of sciences: more generally, on systems of disbeliefs. (shrink)

A couple may have a child to provide stem cells for another child. They may also use preimplantation testing—even, troubling though it is, prenatal testing and selective abortion—to ensure a close tissue match.

The concept of the "locus of control" is one of the most influential in all of the psychological sciences. Initially proposed by Julian Rotter in 1966, the year 2016 marks the 50th anniversary of this remarkable breakthrough, subsequently inspiring thousands of research studies in the human sciences - research that has only served to deepen the utility of this amazing concept. Edited by John W. Reich and Frank J. Infurna, Perceived Control: Theory, Research, and Practice in the First (...) 50 Years commemorates this important anniversary by featuring contributions from leading figures of the time - some of whom were there at the very beginning of Rotter's breakthrough - to give readers a valuable historical record and measuring stick to illustrate how far we've come. Other contributors to this volume expertly present contemporary and cutting-edge summaries of the current state of our knowledge all while giving us a roadmap for future developments and directions. What have these developments revealed about basic human strengths and capacities? Why has this concept proven so remarkably effective in illuminating our everyday life in sickness and health? Perceived Control is a fascinating work that incorporates research from Rotter's original concept, and addresses many of the leading comparable concepts that have since evolved: self-efficacy, personal mastery, competence, primary and secondary control, and more specific topics such as health locus of control, learned helplessness, and other heuristic concepts discussed in many different fields of psychology and the allied disciplines. As Perceived Control skillfully attests, Rotter's work continues to thrive, leaving little doubt that its influence will endure for another half century of more. (shrink)

The major stakeholder classes in education have three distinct ways by which they judge the quality of knowledge claims. At times this can cause considerable distraction or mis-communication among stakeholders.

This book examines the many ethical issues that are encountered in the Pediatric Intensive Care Unit. It supports pediatricians, nurses, residents, and other providers in their daily management of critically ill children with the dilemmas that arise. It begins by examining the evolution of pediatric critical care, and who is now impacted by this advancing medical technology. Subsequent chapters explore specific ethical concerns and controversies that are commonly encountered. These topics include how to conduct end-of-life discussions with families facing a (...) myriad of challenging choices. It goes on to explore the concept of futility, and what that does and does not mean in the pediatric ICU setting. Controversial subjects such as children as organ donors, particularly using donation after cardiac death, in addition to issues surrounding the declaration of brain death are covered. Additional chapters address resource allocation, and also analyze the use of long-term technology in chronically critically ill children. Chapters include case examples with guidance on how to work through similar difficulties and decision-making. While this book is specifically targeted for care providers at the ICU bedside, it is also of benefit to medical students, students in bioethics, practicing ethical consultants and families who are dealing with critically ill children. (shrink)

Several recent articles raise an issue long unaddressed in the medical literature: physician compliance with patient or family requests for futile or ineffectice therapy. Although they agree philosophically that such treatment ought not be given, most physicians have followed the course described by Stanley Fiel, in which a young patient dying of cystic fibrosis was accepted “for evaluation” by a transplant center even though he has already passed the threshold of viability as a candidate for a heart-lung transplant. Dr. Fiel (...) reported this action was taken not in the hope of doing the transplant but so that the family could assure themselves they had done “everything possible.” The patient, after a long and stressful cross-country flight, arrived at the hospital in respiratory failure. He died soon thereafter far from home and familiar surroundings. (shrink)

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.

Aristotelian commenters have long noted an apparent contradiction between what Aristotle says in Posterior Analytics I.2 and Physics I.1 about how we obtain first principles of a science. At Posterior 71b35–72a6, Aristotle states that what is most universal (καθόλου) is better-known by nature and initially less-known to us, while the particular (καθ’ ἕκαστον) is initially better-known to us, but less-known by nature. At Physics 184a21-30, however, Aristotle states that we move from what is better-known to us, which is universal (καθόλου), (...) to what is better-known absolutely, which is particular (καθ’ ἕκαστον). This paper turns to two of Aristotle’s most notable medieval commentators—Albertus Magnus and Thomas Aquinas—to resolve this apparent contradiction. The key to Thomas and Albert’s solutions, we will argue, is a twofold distinction between a sense-perceptive and scientific universal, and the particulars as sensed individuals and as differentiating attributes. Our Synthetic treatment of these distinctions contributes to the ongoing scholarly effort to understand the Stagyrite’s complex theory of knowledge. (shrink)

We define a notion of genericity for genericity subgroups of groups interpretable in a simple theory. and show that a type generic for such a group is generic for the minimal hyperdefinable supergroup (the definable hull). In particular, at least one generic type of the definable hull is finitely satisfiable in the original subgroup. If the subgroup is a subfield, then the additive and the multiplicative definable hull both have bounded index in the smallest hyperdefinable superfield.

Teachers of children of all ages are enjoined by the National Curriculum for English to develop their pupils’ ability to write in standard English. This study explores the implications of these injunctions by examining the use of non-standard dialect grammar in the writing of 362 texts written by pupils of 11 an 15 years of age. It is established that most of the forms used are found in all four of the geographical regions sampled. The grammatical features of these non-standard (...) dialects and the frequency with which they occur are itemised and compared with a study of spoken English based on the same corpus. There is found to be considerable overlap between these and other recent studies of non-standard dialects in schools, although non-standard dialects are used more widely in speech than in writing. (shrink)

We pose and resolve several vexing decision theoretic puzzles. Some are variants of existing puzzles, such as 'Trumped' (Arntzenius and McCarthy 1997), 'Rouble trouble' (Arntzenius and Barrett 1999), 'The airtight Dutch book' (McGee 1999), and 'The two envelopes puzzle' (Broome 1995). Others are new. A unified resolution of the puzzles shows that Dutch book arguments have no force in infinite cases. It thereby provides evidence that reasonable utility functions may be unbounded and that reasonable credence functions need not be countably (...) additive. The resolution also shows that when infinitely many decisions are involved, the difference between making the decisions simultaneously and making them sequentially can be the difference between riches and ruin. Finally, the resolution reveals a new way in which the ability to make binding commitments can save perfectly rational agents from sure losses. (shrink)

A minimal field of non-zero characteristic is algebraically closed.

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.

The Metaphysical Club, a gathering of intellectuals in the 1870s associated with Harvard, is widely recognized as the crucible where pragmatism, America's distinctively original philosophy, was refined and proclaimed. Louis Menand's bestseller about the group was a dramatic publishing success. However, only three actual members - Oliver Wendell Holmes Jr., Charles S. Peirce, and William James - appear in this book, alongside other thinkers such as John Dewey who were never in the Club. The Real Metaphysical Club tells the (...) full story of how this influential group shifted the course of philosophy in America. In addition to pioneering pragmatism, the group explored radical empiricism and idealism, and formulated personalism and process philosophy, equally important developments. This volume contains thirty-seven important writings dating from 1870 to 1885 by the real members of the Metaphysical Club. The first section centers on pragmatism and science; the second part collects writings of the lawyers; and the third part covers idealist and personalist philosophers. Many of these writings have never been reprinted before, and nothing like this impressive collection has ever been attempted. A general introduction provides a narrative history, and the editors' three introductions to the volume's sections vividly bring to life the intense meetings, sustained debates, and pioneering thought from the Metaphysical Club. (shrink)

Research on the cognitive consequences of bilingualism typically proceeds by labeling participants as “monolingual” or “bilingual” and comparing performance on some measures across these groups. It is well-known that this approach has led to inconsistent results. However, the approach assumes that there are clear criteria to designate individuals as monolingual or bilingual, and more fundamentally, to determine whether a communication system counts as a unique language. Both of these assumptions may not be correct. The problem is particularly acute when participants (...) are asked to classify themselves or simply report how many languages they speak. Participants' responses to these questions are shaped by their personal perceptions of the criteria for making these judgments. This study investigated the perceptions underlying judgments of bilingualism by asking 528 participants to judge the extent to which a description of a fictional linguistic system constitutes a unique language and the extent to which a description of a fictional individual's linguistic competence qualifies that person as bilingual. The results show a range of responses for both concepts, indicating substantial ambiguity for these terms. Moreover, participants were asked to self-classify as monolingual or bilingual, and these decisions were not related to more objective information regarding the degree of bilingual experience obtained from a detailed questionnaire. These results are consistent with the notion that bilingualism is not categorical and that specific language experiences are important in determining the criteria for being bilingual. The results impact interpretations of research investigating group differences on the cognitive effects of bilingualism. (shrink)

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.