The strong weak truth table (sw) reducibility was suggested by Downey, Hirschfeldt, and LaForte as a measure of relative randomness, alternative to the Solovay reducibility. It also occurs naturally in proofs in classical computability theory as well as in the recent work of Soare, Nabutovsky, and Weinberger on applications of computability to differential geometry. We study the sw-degrees of c.e. reals and construct a c.e. real which has no random c.e. real (i.e., Ω number) sw-above it.

The Birkhoff-Maltsev problem asks for a characterization of those lattices each of which is isomorphic to the lattice L(K) of all subquasivarieties for some quasivariety K of algebraic systems. The current status of this problem, which is still open, is discussed. Various unsolved questions that are related to the Birkhoff-Maltsev problem are also considered, including ones that stem from the theory of propositional logics.

The study aims to describe the process of implementing audiobooks and describe the various challenges faced by teachers. This research is qualitative research with a phenomenological approach. This research was carried out in 5 provinces, namely West Sumatra, the Special Region of Yogyakarta, North Kalimantan, Gorontalo, and North Maluku. Each province selected representatives from elementary, middle, high school, and special schools who have implemented audiobooks. Informants are teachers and students who have used audiobooks. The process of collecting data from teachers (...) was carried out using the interview method and students through FGD. Data analysis in this research uses a thematic analysis model. The results of this research indicate that the initial challenges in using audiobooks are variations in the availability of facilities, students' digital literacy, and students' learning styles. Before starting learning, teachers must ensure that they are ready to accompany (understand audiobooks technically and substantively), ensure that students understand the technicalities of using audiobooks, and design learning according to the student's profile. Things that should be ensured in the learning process with audiobooks are (1) ensuring students' psychological and substantive readiness, (2) facilitating students who are able to learn quickly or slowly, and (3) being ready to respond to situations of student boredom and maximizing audiobooks as supporting materials to study independently. The biggest challenge is minimizing the potential for boredom, maintaining concentration, and ensuring that the information presented can be understood by students. (shrink)

A comprehensive, critical evaluation of the ideas of the Italian philosopher Benedetto Croce, including a summary of his life.

For a first-order formula φ(x; y) we introduce and study the characteristic sequence ⟨P n : n < ω⟩ of hypergraphs defined by P n (y₁…., y n ):= $(\exists x)\bigwedge _{i\leq n}\varphi (x;y_{i})$ . We show that combinatorial and classification theoretic properties of the characteristic sequence reflect classification theoretic properties of φ and vice versa. The main results are a characterization of NIP and of simplicity in terms of persistence of configurations in the characteristic sequence. Specifically, we show that (...) some tree properties are detected by the presence of certain combinatorial configurations in the characteristic sequence while other properties such as instability and the independence property manifest themselves in the persistence of complicated configurations under localization. (shrink)

LetL(K) denote the lattice (ordered by inclusion) of quasivarieties contained in a quasivarietyK and letD 2 denote the variety of distributive (0, 1)-lattices with 2 additional nullary operations. In the present paperL(D 2) is described. As a consequence, ifM+N stands for the lattice join of the quasivarietiesM andN, then minimal quasivarietiesV 0,V 1, andV 2 are given each of which is generated by a 2-element algebra and such that the latticeL(V 0+V1), though infinite, still admits an easy and nice description (...) (see Figure 2) while the latticeL(V 0+V1+V2), because of its intricate inner structure, does not. In particular, it is shown thatL(V 0+V1+V2) contains as a sublattice the ideal lattice of a free lattice with free generators. Each of the quasivarietiesV 0,V 1, andV 2 is generated by a 2-element algebra inD 2. (shrink)

Many studies have shown that environmentalist attitudes are increasingly prominent both domestically and internationally, although they often vary in depth and commitment. However, consumption studies and the rate of depletion and pollution of natural resources have shown even more clearly that detrimental human activity, per capita, is still rising. These observations contradict each other, resulting in a disparity between values/attitudes and consumptive behavior. We argue that this condition cannot be rationalized away with simplistic explanations followed by a call for better (...) education, shifts in morality, changes in consciousness, or new laws, policies and other forms of social control. Thus, the purpose of our study was to find out why the disparity between positive (green) values and negative (consumptive-exploitative) behavior exists in the majority of our sampled population. 1047 participants completed a 2-part survey that included both demographic variables and value/attitude test items. Our analysis isolated 4 main Factors; 3 were relevant to the goals of the study. These three Factors captured aspects of (1) political correctness, (2) a deep-ecology mindset, and (3) a politically conservative-religious value system best characterized as antithesis of factor 2. (shrink)