Mental Health in the Context of East and West: Beyond Resources and Geographical Realities.ElifKırmızı Alsan &Levent Küey -2014 - In Adarsh Tripathi & Jitendra Kumar Trivedi,Mental Health in South Asia: Ethics, Resources, Programs and Legislation. Dordrecht: Springer.detailsTranscultural comparisons taking the differences and commonalities into consideration in the fields of mental health and ill mental health have always been a focus of scientific interest. The ‘East’ and ‘West’ comparisons in this regard, could be the one most widely deliberated. ‘East and West’, as a human-made conceptual construct, has evolved to signify many social, cultural, political, economic and psychological realities and meanings, beyond its geographical references. Such conceptualizations both reflect and re-construct our realities. -/- Beyond the inequalities and (...) discrepancies in resources, the ‘East and West’ dualism has an impact on mental health theory and praxis in a many different ways. The range, content, patterns and expression of psychopathology and psychiatric symptomatology; the explanatory models of mental disorders; the diagnostic and classification systems; the psychopharmacological and psychotherapeutical interventions; the role of family and psychosocial support systems; basic conceptualizations of mental health and disease are some of the main areas of diversity. -/- This chapter, after briefly discussing the historical roots of the conceptualization of ‘East and West’, will be focused on the relations of mental health and ill mental health with this and related conceptualizations. It is concluded that, in this day of globalization, to improve the quality of psychiatric theory and praxis within a framework of high ethical standards, a paradigm focusing on the unity in diversity and embracing a non-dualistic, non-categorical, and non-hierarchical humanistic approach to cultural differences would bring all the colours of humanity and therefore psychiatry onto the canvas. (shrink)
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Hereditarily structurally complete extensions of ${\mathbf {rm}}$.Krzysztof A. Krawczyk -forthcoming -Journal of Symbolic Logic:1-22.detailsThis paper focuses on the structurally complete extensions of the system $\mathbf {R}$ -mingle ( $\mathbf {RM}$ ). The main theorem demonstrates that the set of all hereditarily structurally complete extensions of $\mathbf {RM}$ is countably infinite and forms an almost-chain, with only one branching element. As a corollary, we show that the set of structurally complete extensions of $\mathbf {RM}$ that are not hereditary is also countably infinite and forms a chain. Using algebraic methods, we provide a complete description (...) of both sets. Furthermore, we offer a characterization of passive structural completeness among the extensions of $\mathbf {RM}$ : specifically, we prove that a quasivariety of Sugihara algebras is passively structurally complete if and only if it excludes two specific algebras. As a corollary, we give an additional characterization of quasivarieties of Sugihara algebras that are passively structurally complete but not structurally complete. We close the paper with a characterization of actively structurally complete quasivarieties of Sugihara algebras. (shrink)
A note on the theory of positive induction, $${{\rm ID}^*_1}$$.Bahareh Afshari &Michael Rathjen -2010 -Archive for Mathematical Logic 49 (2):275-281.detailsThe article shows a simple way of calibrating the strength of the theory of positive induction, ${{\rm ID}^{*}_{1}}$ . Crucially the proof exploits the equivalence of ${\Sigma^{1}_{1}}$ dependent choice and ω-model reflection for ${\Pi^{1}_{2}}$ formulae over ACA 0. Unbeknown to the authors, D. Probst had already determined the proof-theoretic strength of ${{\rm ID}^{*}_{1}}$ in Probst, J Symb Log, 71, 721–746, 2006.
Two Maximality Results for the Lattice of Extensions of $$\vdash _{\mathbf {RM}}$$.Krzysztof A. Krawczyk -2022 -Studia Logica 110 (5):1243-1253.detailsWe use an algebraic argument to prove that there are exactly two premaximal extensions of \’s consequence. We also show that one of these extensions is the minimal structurally complete extension of the unique maximal paraconsistent extension of \. Precisely, we show that there are exactly two covers of the variety of Boolean algebras in the lattice of quasivarieties of Sugihara algebras and that there is a unique minimal paraconsistent quasivariety in that lattice. We also obtain a corollary stating that (...) the set of paraconsistent extensions of \ forms a complete sublattice of the lattice of all \’s extensions. (shrink)
On modal logics between {$\roman K\times\roman K\times \roman K$} and {${\rm S}5\times{\rm S}5\times{\rm S}5$}.Robin Hirsch,I. Hodkinson &A. Kurucz -2002 -Journal of Symbolic Logic 67 (1):221-234.detailsWe prove that everyn-modal logic betweenKnandS5nis undecidable, whenever n ≥ 3. We also show that each of these logics is non-finitely axiomatizable, lacks the product finite model property, and there is no algorithm deciding whether a finite frame validates the logic. These results answer several questions of Gabbay and Shehtman. The proofs combine the modal logic technique of Yankov–Fine frame formulas with algebraic logic results of Halmos, Johnson and Monk, and give a reduction of the representation problem of finite relation (...) algebras. (shrink)
On isomorphism classes of computably enumerable equivalence relations.Uri Andrews &Serikzhan A. Badaev -2020 -Journal of Symbolic Logic 85 (1):61-86.detailsWe examine how degrees of computably enumerable equivalence relations under computable reduction break down into isomorphism classes. Two ceers are isomorphic if there is a computable permutation of ω which reduces one to the other. As a method of focusing on nontrivial differences in isomorphism classes, we give special attention to weakly precomplete ceers. For any degree, we consider the number of isomorphism types contained in the degree and the number of isomorphism types of weakly precomplete ceers contained in the (...) degree. We show that the number of isomorphism types must be 1 or ω, and it is 1 if and only if the ceer is self-full and has no computable classes. On the other hand, we show that the number of isomorphism types of weakly precomplete ceers contained in the degree can be any member of $[0,\omega ]$. In fact, for any $n \in [0,\omega ]$, there is a degree d and weakly precomplete ceers ${E_1}, \ldots,{E_n}$ in d so that any ceer R in d is isomorphic to ${E_i} \oplus D$ for some $i \le n$ and D a ceer with domain either finite or ω comprised of finitely many computable classes. Thus, up to a trivial equivalence, the degree d splits into exactly n classes.We conclude by answering some lingering open questions from the literature: Gao and Gerdes [11] define the collection of essentially FC ceers to be those which are reducible to a ceer all of whose classes are finite. They show that the index set of essentially FC ceers is ${\rm{\Pi }}_3^0$-hard, though the definition is ${\rm{\Sigma }}_4^0$. We close the gap by showing that the index set is ${\rm{\Sigma }}_4^0$-complete. They also use index sets to show that there is a ceer all of whose classes are computable, but which is not essentially FC, and they ask for an explicit construction, which we provide.Andrews and Sorbi [4] examined strong minimal covers of downwards-closed sets of degrees of ceers. We show that if $\left$ is a uniform c.e. sequence of non universal ceers, then $\left\{ {{ \oplus _{i \le j}}{E_i}|j \in \omega } \right\}$ has infinitely many incomparable strong minimal covers, which we use to answer some open questions from [4].Lastly, we show that there exists an infinite antichain of weakly precomplete ceers. (shrink)
Distinct Kinematic and Neuromuscular Activation Strategies During Quiet Stance and in Response to Postural Perturbations in Healthy Individuals Fitted With and Without a Lower-Limb Exoskeleton.Charles S. Layne,Christopher A. Malaya,Akshay S. Ravindran,Isaac John,Gerard E. Francisco &Jose Luis Contreras-Vidal -2022 -Frontiers in Human Neuroscience 16.detailsMany individuals with disabling conditions have difficulty with gait and balance control that may result in a fall. Exoskeletons are becoming an increasingly popular technology to aid in walking. Despite being a significant aid in increasing mobility, little attention has been paid to exoskeleton features to mitigate falls. To develop improved exoskeleton stability, quantitative information regarding how a user reacts to postural challenges while wearing the exoskeleton is needed. Assessing the unique responses of individuals to postural perturbations while wearing an (...) exoskeleton provides critical information necessary to effectively accommodate a variety of individual response patterns. This report provides kinematic and neuromuscular data obtained from seven healthy, college-aged individuals during posterior support surface translations with and without wearing a lower limb exoskeleton. A 2-min, static baseline standing trial was also obtained. Outcome measures included a variety of 0 dimensional measures such as center of pressure RMS, peak amplitude, velocities, pathlength, and electromyographic RMS, and peak amplitudes. These measures were obtained during epochs associated with the response to the perturbations: baseline, response, and recovery. T-tests were used to explore potential statistical differences between the exoskeleton and no exoskeleton conditions. Time series waveforms of the COP and EMG data were also analyzed. Statistical parametric mapping was used to evaluate the 1D COP and EMG waveforms obtained during the epochs with and without wearing the exoskeleton. The results indicated that during quiet stance, COP velocity was increased while wearing the exoskeleton, but the magnitude of sway was unchanged. The OD COP measures revealed that wearing the exoskeleton significantly reduced the sway magnitude and velocity in response to the perturbations. There were no systematic effects of wearing the exoskeleton on EMG. SPM analysis revealed that there was a range of individual responses; both behaviorally and among neuromuscular activation patterns. Using both the OD and 1D measures provided a more comprehensive representation of how wearing the exoskeleton impacts the responses to posterior perturbations. This study supports a growing body of evidence that exoskeletons must be personalized to meet the specific capabilities and needs of each individual end-user. (shrink)
Relevant analytic tableaux.Michael A. McRobbie &Nuel D. Belnap -1979 -Studia Logica 38 (2):187 - 200.detailsTableau formulations are given for the relevance logics E (Entailment), R (Relevant implication) and RM (Mingle). Proofs of equivalence to modus-ponens-based formulations are vialeft-handed Gentzen sequenzen-kalküle. The tableau formulations depend on a detailed analysis of the structure of tableau rules, leading to certain global requirements. Relevance is caught by the requirement that each node must be used; modality is caught by the requirement that only certain rules can cross a barrier. Open problems are discussed.