We prove that for a finitely generated infinite nilpotent group $G$ with structure $(G,\cdot,\dots)$, the connected component ${G^*}^0$ of a sufficiently saturated extension $G^*$ of $G$ exists and equals \[ \bigcap_{n\in\N} \{g^n\colon g\in G^*\}. \] We construct an expansion of ${\mathbb Z}$ by a predicate $({\mathbb Z},+,P)$ such that the type-connected component ${{\mathbb Z}^*}^{00}_{\emptyset}$ is strictly smaller than ${{\mathbb Z}^*}^0$. We generalize this to finitely generated virtually solvable groups. As a corollary of our construction we obtain an optimality (...) result for the van der Waerden theorem for finite partitions of groups. (shrink)

The ‘adjustment strategy’ currently seems to be the most common approach to incorporating objective elements into one's theory of well‐being. These theories face a certain problem, however, which can be avoided by a different approach – namely, that employed by ‘partially objective multi‐component theories.’ Several such theories have recently been proposed, but the question of how to understand their mathematical structure has not been adequately addressed. I argue that the most mathematically simple of these multi‐component theories fails, so (...) I proceed to investigate more sophisticated ways to formulate such a theory. I conclude that one of these – the Discount/Inflation Theory – is particularly promising. (shrink)

There are a number of competing hypotheses about human evolution. For example, Homo habilis and Homo erectus could have existed together, or one could have evolved from the other, and paleontological evidence may allow us to decide between these two hypotheses (see, e.g., Spoor et al., 2007). For most who work on the biology of human behavior, there is no question that human behavior is in some large part a product of evolution. But, there are competing hypotheses in this area (...) as well. Some claim that human behavior is produced by a collection of psychological mechanisms, for the most part, and that these mechanisms are adaptations that arose in the Pleistocene Epoch (e.g., Tooby & Cosmides, 1992; Buss, 2007). The claim is important and testable (although, more difficult to test than the above mentioned hypotheses about origins); but importantly, it is only one among many hypotheses about the evolutionary origins of human behavior. While I think that there may be components of our behavior that are best explained by appealing to processes or mechanisms that arose in the Pleistocene, I think that human behavior is a result of evolutionary processes both much older and more recent than the Pleistocene. I also maintain that much of human behavior, and the mechanisms underlying it, could still be subject to evolutionary.. (shrink)

No detailed description available for "Components of the Content Structure of the Word".

It is proved that there is a formula$\pi \left$in the first-order language of group theory such that each component and each non-abelian minimal normal subgroup of a finite groupGis definable by$\pi \left$for a suitable elementhofG; in other words, each such subgroup has the form$\left\{ {x|x\pi \left} \right\}$for someh. A number of consequences for infinite models of the theory of finite groups are described.

This study experimentally tests the contributions of specific appraisals, considered at both molecular (appraisal components) and molar (core relational themes) levels of analysis, to the experience of four emotions (anger, guilt, fear/anxiety, and sadness) using a two-stage directed imagery task. In Stage 1, subjects imagined themselves in scenarios designed to evoke appraisals hypothesised to produce either anger or sadness. In Stage 2, the scenarios unfolded in time to produce a second manipulation designed to systematically evoke the appraisals hypothesised to produce (...) each of the four emotions under study. The results provided substantial support for the theoretically specified appraisal-emotion relationships for anger, guilt, and fear/ anxiety. However, support for the predictions for sadness was weaker, partially due to ineffective manipulation of the relevant appraisals. Implications for the further development and testing of emotion theory are discussed. (shrink)

The current investigation examines children’s learning about a novel machine in a local history museum. Parent–child dyads were audio-recorded as they navigated an exhibit that contained a novel artifact: a coffee grinder from the turn of the 20th century. Prior to entering the exhibit, children were randomly assigned to receive an experimental “component” prompt that focused their attention on the machine’s internal mechanisms or a control “history” prompt. First, we audio-recorded children and their caregivers while they freely explored the (...) exhibit, and then, we measured children’s learning by asking them two questions in a test phase. Children of all ages, regardless of the prompt given, discussed most aspects of the machine, including the whole machine, its parts, and, to a lesser extent, its mechanisms. In the test phase, older children recalled more information than younger children about all aspects of the machine and appeared more knowledgeable to adult coders. Overall, this suggests that children of all ages were motivated to discuss all aspects of a machine, but some scaffolding may be necessary to help the youngest children take full advantage of these learning opportunities. While the prompts did not significantly influence the number of children who discussed the machine’s mechanisms, children who received the component prompt were rated as more knowledgeable about the machine in the test phase, suggesting that this prompt influenced what they learned. Implications for visitor experience and exhibit design are discussed. (shrink)

Tyler Burge and other externalists about mental content have tried to accommodate privileged self-knowledge and to neutralize skepticism about one's ability to authoritatively know one's present thoughts. I show that, though Burgean compatibilism explains knowing it is p I believe, it doesn't explain how I can have privileged knowledge that the state I occupy is a state of believing rather than, say, a state of doubting. Moreover, given externalism, self-knowledge of attitudinal component is vulnerable to a certain kind of (...) error and so doesn't have the same kind of privilege as self-knowledge of current content. (shrink)

In ‘Rethinking Disease’, Powell and Scarffe1 propose what in effect is a modification of Jerome Wakefield’s2 3 harmful dysfunction analysis (HDA) of medical (including mental) disorder. The HDA maintains that ‘disorder’ (or ‘disease’ in Powell and Scarffe’s terminology) is a hybrid factual and value concept requiring that a biological dysfunction, understood as a failure of some feature to perform a naturally selected function, causes harm to the individual as evaluated by social values. Powell and Scarffe accept both the HDA’s evolutionary (...) biological function component and its incorporation of a value component. Their proposed ‘new twist’ is to revise the value component: ‘Our proposed definition of disease is as follows: a biomedical state is a disease only if it implicates a biological dysfunction that is, or would be, properly disvalued’. So, they propose that a disorder is a ‘properly disvalued dysfunction’ rather than a ‘harmful dysfunction’, an approach they term ‘thickly normative’ in contrast to the thin normative approach of the HDA. There has been a surge of interest recently in better understanding the ‘harm’ component of the HDA. Powell and Scarffe’s analysis is a helpful contribution to this discussion. We focus here exclusively on their proposal regarding the analysis of the concept of disorder and ignore many important related issues that the authors address, ranging from prioritising resource allocation between disorders and non-disorders to whether the concept of disorder should be replaced by a generic welfarist concept. The resolution of these additional issues depends on first understanding ‘disorder’. The authors’ proposed changes to the HDA also deserve evaluation because the HDA, which has been endorsed by leading nosologists,4 plays an influential role in nosological debate across categories of disorder ranging, for example, from sexual paraphilias5 to psychopathy.6 A basic problem is that Powell and Scarffe misinterpret …. (shrink)

BackgroundKinarm Standard Tests is a suite of upper limb tasks to assess sensory, motor, and cognitive functions, which produces granular performance data that reflect spatial and temporal aspects of behavior. We have previously used principal component analysis to reduce the dimensionality of multivariate data using the Kinarm End-Point Lab. Here, we performed PCA using data from the Kinarm Exoskeleton Lab, and determined agreement of PCA results across EP and EXO platforms in healthy participants. We additionally examined whether further dimensionality (...) reduction was possible by using PCA across behavioral tasks.MethodsHealthy participants were assessed using the Kinarm EXO and EP. Four behavioral tasks were performed that quantified arm sensory and motor function, including position sense [Arm Position Matching ] and three motor tasks [Visually Guided Reaching, Object Hit, and Object Hit and Avoid ]. The number of components to include per task was determined from scree plots and parallel analysis, and rotation type was decided on a per-task basis. To assess agreement, we compared principal components across platforms using distance correlation. We additionally considered inter-task interactions in EXO data by performing PCA across all six behavioral assessments.ResultsBy applying PCA on a per task basis to data collected using the EXO, the number of behavioral parameters were substantially reduced by 58–75% while accounting for 76–87% of the variance. These results compared well to the EP analysis, and we found good-to-excellent agreement values between PCs from the EXO and those from the EP. Finally, we were able to reduce the dimensionality of the EXO data across tasks down to 16 components out of a total of 76 behavioral parameters, which represents a reduction of 79% while accounting for 73% of the total variance.ConclusionPCA of Kinarm robotic assessment appears to capture similar relationships between kinematic features in healthy individuals and is agnostic to the robotic platform used for collection. Further work is needed to investigate the use of PCA-based data reduction for the characterization of neurological deficits in clinical populations. (shrink)

Support functions $s(h,e)=p(h\backslash e)-p(h)$ are widely used in discussion of explanation, causality and, recently, in connection with the possibility or otherwise of probabilistic induction. With this latter application in view, a rather complete analysis of the variety of support functions, their interrelationships and their "non-deductive" and "inductive" components is presented. With the restriction to two propositions, three variable probabilities are enough to discuss such problems. The analysis is illustrated by graphs, a Venn diagram and by using the Laplace Rule of (...) Succession as an illustrative example. It is concluded that within this framework one cannot prove or disprove the possibility of probabilistic induction. (shrink)

[[This paper appears in my anthology _Philosophy of Mind: Classical and Contemporary Readings_ (Oxford University Press, 2002), pp. 608-633. It is a heavily revised version of a paper first written in 1994 and revised in 1995. Sections 1, 7, 8, and 10 are similar to the old version, but the other sections are quite different. Because the old version has been widely cited, I have made it available (in its 1995 version) at http://consc.net/papers/content95.html.

Principal Component Analysis is one of the data mining methods that can be used to analyze multidimensional datasets. The main objective of this method is a reduction of the number of studied variables with the mainte- nance of as much information as possible, uncovering the structure of the data, its visualization as well as classification of the objects within the space defined by the newly created components. PCA is very often used as a preliminary step in data preparation through (...) the creation of independent components for further analysis. We used the PCA method as a first step in analyzing data from IVF (in vitro fertilization). The next step and main purpose of the analysis was to create models that predict pregnancy. Therefore, 805 different types of IVF cy- cles were analyzed and pregnancy was correctly classified in 61-80% of cases for different analyzed groups in obtained models. (shrink)

Despite multiple axes of variation in defining wellbeing, the paper argues for the dominance of a ‘components approach’ in current research and practice. This approach builds on a well-established tradition within the social sciences of attending to categories whether for their identification, their value or their meanings and political resonance. The paper critiques the components approach and explores how to move beyond it towards conceptually integrating the various categories and dimensions through a relational and situated account of wellbeing. Drawing on (...) more fluid social sciences, wellbeing is framed as an effect, dependent on the mobilisation of resources from everyday encounters with complex assemblages of people, things and places. Through such a framing, wellbeing can be conceived of as stable and amenable to change, as individual and collective and as subjective and objective. Policy interventions then need to attend to the relationalities of particular social and spatial contexts. (shrink)

To understand the endogenous components of the event-related brain potential (ERP), we must use data about the components' antecedent conditions to form hypotheses about the information-processing function of the underlying brain activity. These hypotheses, in turn, generate testable predictions about the consequences of the component. We review the application of this approach to the analysis of the P300 component. The amplitude of the P300 is controlled multiplicatively by the subjective probability and the task relevance of the eliciting events, (...) whereas its latency depends on the duration of stimulus evaluation. These and other factors suggest that the P300 is a manifestation of activity occurring whenever one's model of the environment must be revised. Tests of three predictions based on this “context updating” model are reviewed. Verleger's critique is based on a misconstrual of the model as well as a partial and misleading reading of the relevant literature. (shrink)

BACKGROUND -/- In biomedical ontologies, mereological relations have always been subject to special interest due to their high relevance in structural descriptions of anatomical entities, cells, and biomolecules. This paper investigates two important subrelations of has_proper_part, viz. the relation has_grain, which relates a collective entity to its multiply occurring uniform parts (e.g., water molecules in a portion of water), and the relation has_component, which relates a compound to its constituents (e.g., molecules to the atoms they consist of). -/- METHOD -/- (...) We distinguish between four kinds of complex entities and characterize them in first order logic. We then discuss whether similar characterizations could be given in description logics, and finally apply the results to mixtures. -/- RESULTS -/- At first sight, collectives and compounds seem to be disjoint categories. Their disjointness, however, relies on agreement about what are uniform entities, and thus on the granularity of description. For instance, the distinction between isomeric subtypes of a molecule can be important in one use case but might be neglected in another one. We demonstrate that, as implemented in the BioTop domain upper level ontology, equivalence or subsumption between different descriptions of same or similar entities cannot be achieved. Using OWL-DL, we propose a new design pattern that avoids primitive subrelations at the expense of more complex descriptions and thus supports the needed inferences. (shrink)

Mitotic spindles constitute the machinery responsible for equidistribution of the genetic material into each daughter cell during cell division. They are transient and hence quite labile structures, changing their morphology even while performing their function. Biochemical, immunological and genetic analyses of mitotic cells have allowed us to identify a variety of molecules that are recruited to form the spindle at the onset of mitosis. Evaluation of the roles of these molecules in both the formation and in the dynamics of spindle (...) microtubules should be important for understanding the molecular basis of mitosis and its regulation. We have recently identified a novel mitosis‐specific microtubule‐associated protein (MAP) using a monoclonal antibody probe raised against the mitotic spindles isolated from cultured mammalian cells. This 95/105 kDa antigen represents a unique component of the spindle distinct from any of the other MAPs reported so far. Antibody microinjection resulted in mitotic inhibition in a stage‐specific and dosedependent manner, indicating that the protein is an essential spindle component. (shrink)

The philosophically important questions concerning what can be deduced from a given statement, of what would constitute a correct analysis or translation of it, of whether to say that P is to say that Q., and others, can be clearly formulated and possibly answered only on the basis of prior clear formulations of what is to be meant by “statement component of a statement”;. This paper takes up these questions in the context of a discussion of a certain formulation (...) of the so-called Extensionality Thesis. It attempts to show the hidden complexity of this thesis (and those questions) by indicating the consequences for it of several more or less plausible interpretations of the notions of meaningful statement , and statement component. (shrink)

Mechanisms are said to consist of two kinds of components, entities and activities. In the first half of this chapter, I examine what entities and activities are, how they relate to well-known ontological categories, such as processes or dispositions, and how entities and activities relate to each other (e.g., can one be reduced to the other or are they mutually dependent?). The second part of this chapter analyzes different criteria for individuating the components of mechanisms and discusses how real the (...) boundaries of mechanisms are. (shrink)

While there is considerable interest in the topic of business ethics, much of the research moves towards measuring components with a view to predicting ethical behaviour. To date there has not been a satisfactory definition of business ethics, nor has there been any real attempt to understand the components of a situation that may influence an individual's assessment of that situation as ethical or otherwise. Using Jones's (1991) construct of moral intensity as a basis for investigation, this paper presents some (...) exploratory analysis on the context within which ethical decisions are assessed. The findings reveal that individuals differ in their assessments of the same situation and often use a number of complex reasons to explain whether a situation poses an ethical problem for them. These findings are discussed within a framework of measurement issues and future directions for research. (shrink)

The target article differentiates a new, syntactic component in verbal working memory. We suggest that several more components could be differentiated to make a model of working memory complete. Next, syntax is not always separable from the subject's verbal memory capacity as measured by standard working memory tasks. Finally, interference between different processes cannot be taken as evidence for the processes sharing the same resources. Interference might be a result of active mutual inhibition.

Wakefield’s harmful dysfunction analysis asserts that the concept of medical disorder includes a naturalistic component of dysfunction and a value component, both of which are required for disorder attributions. Muckler and Taylor, defending a purely naturalist, value-free understanding of disorder, argue that harm is not necessary for disorder. They provide three examples of dysfunctions that, they claim, are considered disorders but are entirely harmless: mild mononucleosis, cowpox that prevents smallpox, and minor perceptual deficits. They also reject the proposal (...) that dysfunctions need only be typically harmful to qualify as disorders. We argue that the proposed counterexamples are, in fact, considered harmful; thus, they fail to disconfirm the harm requirement: incapacity for exertion is inherently harmful, whether or not exertion occurs, cowpox is directly harmful irrespective of indirect benefits, and colorblindness and anosmia are considered harmful by those who consider them disorders. We also defend the typicality qualifier as viably addressing some apparently harmless disorders and argue that a dysfunction’s harmfulness is best understood in dispositional terms. (shrink)

Modeling emotion processes remains a conceptual and methodological challenge in affective sciences. In responding to the other target articles in this special section on “Emotion and the Brain” and the comments on our article, we address the issue of potentially separate brain networks subserving the functions of the different emotion components. In particular, we discuss the suggested role of component synchronization in producing information integration for the dynamic emergence of a coherent emotion process, as well as the links between (...) incentive salience and concern-relevance in the elicitation of emotion. (shrink)

Studies show bilingualism entails an advantage in cognitive control tasks. There is evidence of a bilingual advantage in the context of aphasia, resulting in better cognitive outcomes and recovery in bilingual persons with aphasia compared to monolingual peers. This bilingual advantage also results in structural changes in the right hemisphere gray matter. Very few studies have examined the so-called bilingual advantage by reference to specific anomia therapy efficacy. This study aims to compare the effect of French-Phonological Component Analysis (Fr-PCA) (...) in monolinguals and bilingual persons with aphasia, both at the linguistic and cognitive control level, and to examine the structural impact of left hemisphere lesion location and right hemisphere structural data. Eight participants with chronic aphasia received Fr-PCA for a total of 15 h over 5 weeks. The results showed improved accuracy for treated words and generalization to untreated items and discourse in both groups, and improved Flanker task performance for some participants. Bilingual participants improved more than monolinguals for picture-naming tasks and narrative discourse. Damage to the left postcentral gyrus and the middle frontal gyrus was associated with less therapy-induced improvement. Additionally, left hemisphere damage to the inferior parietal gyrus and postcentral gyrus was associated with reduced cognitive control pre-therapy. Undamaged right hemisphere cortical thicknesses were significantly different between groups; the inferior frontal gyrus and the middle frontal gyrus were greater for the bilingual participants and correlated with cognitive control skills. These results suggest a bilingual advantage in anomia recovery following Fr-PCA, potentially resulting from enhanced cognitive control abilities that could be supported by right hemisphere neural reserve. (shrink)

Metacognition refers to the knowledge and regulation of one’s own cognitive processes, which has been regarded as a critical component of creative thinking. However, the current literature on the association between metacognition and creative thinking remains controversial, and the underlying role of metacognition in the creative process appears to be insufficiently explored and explained. This review focuses on the roles of three aspects of metacognition (i.e., metacognitive knowledge, metacognitive experience, and metacognitive monitoring and control) in creative thinking and offers (...) a primary summary of the neurocognitive mechanisms that support metacognition during creative thinking. Future research is needed to explore the interactive effects of the metacognitive components on creative thinking and to elucidate the function of metacognition during different stages of the creative process. (shrink)

We investigate the partial orderings of the form 〈P(X),⊂〉\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\langle \mathbb{P}(\mathbb{X}), \subset \rangle}$$\end{document}, where X=〈X,ρ〉\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{X} =\langle X, \rho \rangle }$$\end{document} is a countable binary relational structure and P(X)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{P} (\mathbb{X})}$$\end{document} the set of the domains of its isomorphic substructures and show that if the components of X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{X}}$$\end{document} (...) are maximally embeddable and satisfy an additional condition related to connectivity, then the poset 〈P(X),⊂〉\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\langle \mathbb{P} (\mathbb{X}), \subset \rangle }$$\end{document} is forcing equivalent to a finite power of (P(ω)/ Fin)+, or to the poset (P(ω × ω)/(fin × Fin))+, or to the product (P(Δ)/EDfin)+×((P(ω)/Fin)+)n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${(P(\Delta )/\fancyscript{e}\fancyscript{d}_{\rm fin})^+ \times ((P(\omega )/{\rm Fin})^+)^n}$$\end{document}, for some n∈ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${n \in \omega}$$\end{document}. In particular we obtain forcing equivalents of the posets of copies of countable equivalence relations, disconnected ultrahomogeneous graphs and some partial orderings. (shrink)

Do component forces exist in conjoined circumstances? Cartwright (1980) says no; Creary (1981) says yes. I'm inclined towards Cartwright's side in this matter, but find several problems with her argumentation. My primary aim here is to present a better, distinctly causal, argument against component forces: very roughly, I argue that the joint posit of component and resultant forces in conjoined circumstances gives rise to a threat of causal overdetermination, avoidance of which best proceeds via eliminativism about (...) class='Hi'>component forces. A secondary aim is to show that rejecting component forces does not require, pace Cartwright, rejecting certain attractive theses about what laws of nature express and the role such laws play in scientific explanations. (shrink)

Do component forces exist? I argue that the answer lies in the affirmative, on historical and operational grounds.

This paper aims to show how Whewell's notions of consilience and unification-explicated in more modern probabilistic terms provide a satisfying treatment of cases of scientific discovery Which require the postulatioin component causes to explain complex events. The results of this analysis support the received view that the increased unification and generality of theories leads to greater testability, and confirmation if the observations are favorable. This solves a puzzle raised by Cartwright in How the Laws of Physics Lie about the (...) nature of explanation by the composition of causes. (shrink)