In this note we will introduce a class of search problems, called nested Polynomial Local Search (nPLS) problems, and show that definable NP search problems, i.e., \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\Sigma^{b}_{1}}$$\end{document}-definable functions in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${T^{2}_{2}}$$\end{document} are characterized in terms of the nested PLS.

Open peer commentary on the article “Towards a PL-Metaphysics of Perception: In Search of the Metaphysical Roots of Constructivism” by Konrad Werner. Upshot: I expand the notion of PL-metaphysics by introducing the approach of Hegel, who I regard as the chief PL-metaphysician. Also, I propose another substantiation of the division of metaphysics, namely, the criterion of the transparency/opacity of system settings, which I consider the most symptomatic for the differentiation of epistemologies, and believe plays the key role in understanding the (...) status of constructivism itself. By applying this criterion, we can differentiate transcendentalism and naturalism as two substantial epistemological meta-programs and show that constructivism will still remain a part of the transcendental program, even when there is an orientation towards PL-metaphysics, while Hegel’s version of PL-metaphysics will be considered a part of naturalism. (shrink)

Background: Randomized controlled trials have been criticized for their inability to identify and differentiate the causal mechanisms that generate the outcomes they measure. One solution is the development of realist trials that combine the empirical precision of trials' outcome data with realism's theoretical capacity to identify the powers that generate outcomes. Main Body: We review arguments for and against this position and conclude that critical realist trials are viable. Using the example of an evaluation of the educational effectiveness of virtual (...) reality simulation, we explore whether Partial Least Squares Structural Equation Modelling can move statistical analysis beyond correlational analysis to support realist identification of the mechanisms that generate correlations. Conclusion: We tentatively conclude that PLS-SEM, with its ability to identify ‘points of action’, has the potential to provide direction for researchers and practitioners in terms of how, for whom, when, where and in what circumstances an intervention has worked. (shrink)

This study used a partial least squares structural equation modelling (PLS-SEM) to estimate curriculum management's direct and indirect effects on university graduate programmes' viability. The study also examined the role of institutional effectiveness in mediating the nexus between the predictor and response variables. This is a correlational study with a factorial research design. The study's participants comprised 149 higher education administrators (23 Faculty Deans and 126 HODs) from two public universities in Nigeria. A structured questionnaire designed by the researchers was (...) used for data collection. The questionnaire was duly validated with an acceptable scale and item content validity indices. The dimensionality of the instrument was determined using exploratory factor analysis (EFA). Convergent validity was based on Average Variance Extracted (AVE), whereas discriminant validity was based on Fornell-Lacker criteria and the Hetero-Trait Mono-Trait (HTMT) ratio. Acceptable composite reliability estimates of internal consistency were reached for the three sub-scales. Following ethical practices, the questionnaire was physically administered to respondents and retrieved afterwards. Smart PLS (version 3.2.9) and SPSS (version 26.0) programs were used for all the statistical analyses. This study uncovered significant direct and indirect effects of curriculum management on the viability of graduate programmes. Institutional effectiveness significantly impacted graduate programmes’ viability while mediating the nexus between curriculum management and graduate programmes’ viability. Curriculum management and institutional effectiveness jointly explained a significant proportion of graduate programmes’ viability variance. The result of this study proved that graduate programmes’ viability depends, to a great extent, on how much curriculum is managed and how effective institutions are with their services. The result of this study can enable institutions seeking to run viable graduate programmes to re-evaluate their curriculum management practices and the effectiveness of their services. (shrink)

Context: Metaphysics of perception explores fundamental questions regarding the structure and status of the perceived world or appearance(s. By virtue of perception, the apparent world comes to existence. This, however, does not mean that the apparent world is a projection of mind, that it exists “in the head.” Implications: PL-metaphysics reconciles realism with constructivism. As such, it might be considered either an alternative to constructivism or an improvement and completion of this position. Constructivist content: The article refers to non-Cartesian movements (...) in contemporary philosophy, including radical constructivism, enactive and embodied cognition. Keywords: Perception, metaphysics, radical constructivism, realism, appearance, Jerzy Perzanowski, Plato, Gottfried Willhelm Leibniz, Ernst von Glasersfeld. (shrink)