The article examines the provisions of the catechisms of the Ukrainian Greek Catholic Church regarding the war and its challenges, as well as the defense of the Motherland. A comparative analysis of relevant thematic instructions in the Catechism “Christ is our Easter” (published in 2011), the Catechism for youth “We walk with Christ” (published in 2021) and the “Catechism of the Christian Warrior” (published in 2022) was carried out. It was determined that the provisions of the UGCC's own fundamental doctrinal (...) documents, its Catechisms, regarding the problems of war and defense of the Motherland, were formed, clarified and supplemented according to the circumstances and needs of the time. The catechism of the UGCC “Christ is our Easter” contains general Christian considerations on the subject under consideration, which are principled, establishing, and refer to how civilized peoples should conduct themselves. The catechism for youth, created in the previous years of the undeclared Russian Federation's “hybrid” war against Ukraine, covers the issues related to the war and the defense of the Motherland in a substantive way and closer to current Ukrainian realities, although it still has some idealistic approach. The Catechism of the Christian Warrior, the preparation of which was completed and the publication was carried out during the full-scale military offensive of the aggressor, is a set of thorough and competent advises for Ukrainian soldiers, where things are called by their names, and there are no provisions that can cause doubts due to experience and be problematically achievable for implementation. Therefore, it is concluded that especially this Catechism, together with and in addition to the two previous ones, is a useful and timely contribution of the UGCC to the instruction of Ukrainians during the war, and therefore to Ukraine's victory over the enemy. (shrink)

Çılgınlık ve ona bağlı oluşan delirme Yunan tragedyalarında kullanılan temel olgulardan biridir. Özellikle de Sophokles ve Euripides’sin oyunlarında sıklıkla karşımıza çıkar. Delirme, baht dönüşümünde meydana gelen mani ve melonkoli halleriyle ortaya çıkmaktadır. İntihar eylemi bazı trajik kişilerde delirme eyleminin sonunda acıya dayanamayıp ortaya konulan eylem olarak gözükmektedir.

Paraconsistent weak Kleene logic is the $3$-valued logic based on the weak Kleene matrices and with two designated values. In this paper, we investigate the poset of prevarieties of generalized involutive bisemilattices, focussing in particular on the order ideal generated by Α$\textrm{lg} $. Applying to this poset a general result by Alexej Pynko, we prove that, exactly like Priest’s logic of paradox, $\textrm{PWK}$ has only one proper nontrivial extension apart from classical logic: $\textrm{PWK}_{\textrm{E}}\textrm{,}$ PWK logic plus explosion. This $6$-valued logic, (...) unlike $\textrm{PWK} $, fails to be paraconsistent. We describe its consequence relation via a variable inclusion criterion and identify its Suszko-reduced models. (shrink)

We generalize the Unstable Formula Theorem characterization of stable theories from Shelah [11], that a theory T is stable just in case any infinite indiscernible sequence in a model of T is an indiscernible set. We use a generalized form of indiscernibles from [11], in our notation, a sequence of parameters from an L-structure M, , indexed by an L′-structure I is L′-generalized indiscernible inM if qftpL′=qftpL′ implies tpL=tpL for all same-length, finite ¯,j from I. Let Tg be the theory (...) of linearly ordered graphs in the language with signature Lg={<,R}. Let Kg be the class of all finite models of Tg. We show that a theory T has NIP if and only if any Lg-generalized indiscernible in a model of T indexed by an Lg-structure with age equal to Kg is an indiscernible sequence. (shrink)

This thesis is intended t0 help develop the theory 0f coalgebras by, Hrst, taking classic theorems in the theory 0f universal algebras amd dualizing them and, second, developing an interna] 10gic for categories 0f coalgebras. We begin with an introduction t0 the categorical approach t0 algebras and the dual 110tion 0f coalgebras. Following this, we discuss (c0)a,lg€bra.s for 2. (c0)monad and develop 2. theory 0f regular subcoalgebras which will be used in the interna] logic. We also prove that categories 0f (...) coalgebras are completc, under reasonably weak conditions, and simultaneously prove the wellknown dual result for categories 0f algebras. We dose the second chapter with 2. discussion 0f bisimulations in which we introduce a weaker 110tion 0f bisimulaticn than is current in the literature, but which is w€H—b€ha.v€d and reduces t0 the standard defmition under the assumption 0f choice. (shrink)

This paper focusses on the experiences of Indian lesbians and gays who are subjected to unethical acts of workplace bullying which get manifested through constant guesswork, comments and questioning about their sexual identity in the hostile Indian context. Given this, LG participants usually opt for secrecy and lead a double life, using ‘passing’ and ‘covering’ strategies to manage economic, social and psychological risks. Nonetheless, this paper rewrites the negative tenor of lesbians, gays, bisexuals and transexuals research by underscoring how LG (...) participants move from fear to courage in their endeavour to live authentic lives while considering the broader organizational and social context. We argue that their courage is manifested mainly through deliberate micro-disclosures and a sense of defiance which can be enhanced if organizations are designed to be more inclusive and ethical. Consequently, participants defined inclusive ethical organizations as having conducive environments with trustworthy, supportive, secure, fair, unbiased and safe non-discriminatory policies open to the idea of diverse sexual orientations. Our findings point to the fact that, first and foremost, organizations must be crafted and sustained to be courageous within a hostile social climate, for employees to overcome their fears. (shrink)

The central result of this paper provides a simple equational basis for the join, IRLLG, of the variety LG of lattice-ordered groups (-groups) and the variety IRL of integral residuated lattices. It follows from known facts in universal algebra that IRLLG=IRL×LG. In the process of deriving our result, we will obtain simple axiomatic bases for other products of classes of residuated structures, including the class IRL×s LG, consisting of all semi-direct products of members of IRL by members of LG. We (...) conclude the paper by presenting a general method for constructing such semi-direct products, including wreath products. (shrink)

To investigate the relationship between logical reasoning and majority voting, we introduce logic with groups Lg in the style of Gentzen’s sequent calculus, where every sequent is indexed by a group of individuals. We also introduce the set-theoretical semantics of Lg, where every formula is interpreted as a certain closed set of groups whose members accept that formula. We present the cut-elimination theorem, and the soundness and semantic completeness theorems of Lg. Then, introducing an inference rule representing majority voting to (...) Lg, we introduce logic with majority voting Lv. Formalizing the discursive paradox in judgment aggregation theory, we show that Lv is inconsistent. Based on the premise-based and conclusion-based approaches to avoid the paradox, we introduce logic with majority voting for axioms Lva, where majority voting is applied only to non-logical axioms as premises to construct a proof in Lg, and logic with majority voting for conclusions Lvc, where majority voting is applied only to the conclusion of a proof in Lg. We show that both Lva and Lvc are syntactically complete and consistent, and we construct collective judgments based on the provability in Lva and Lvc, respectively. Then, we discuss how these systems avoid the discursive paradox. (shrink)

Major depression is associated with a decrease of 1st person visual perspective in autobiographical memory, even after full remission. This study aimed to examine visual perspective in healthy never-depressed subjects presenting with either genetic or psychological vulnerability for depression. Sixty healthy participants performed the Autobiographical Memory Test with an assessment of visual perspective. Genetic vulnerability was defined by the presence of at least one S or LG allele of the polymorphism of the serotonin-transporter-linked promoter region . Psychological vulnerability was defined (...) by high scores of harm avoidance measured by the Temperament and Character Inventory. Life stress exposure, depressive mood, rumination, and familial history of depression were assessed through standardized procedures. Visual perspective for positive memories was independently predicted by both harm avoidance and a gene by environment interaction between the 5-HTTLPR polymorphism and life stress exposure. Visual perspective and vulnerability for depression may share some biological bases. (shrink)

This essay situates the protest actions of the German environmentalist group Die letzte Generation (LG) within an environmental critique of digital capitalism. It specifically examines the temporality of LG’s activism at the intersection of the affective ecology of digital capital and certain aspects of an apocalyptic imagination. I propose a Spinozist approach to the media environment in which LG operates that may open a path toward an immanent critique of LG’s publicity-oriented practices.

Background:Policemen all over the world are tasked with the heavy work of maintaining social security. With the imbalance in mentality brought about by high population density and social transformation, the work of the Chinese police is particularly hard. As the window of demographic dividend is closing and the number of newborns is insufficient, China has started to adjust its established fertility policy to encourage a family to have two children. However, the results have not met the expectations of the policy (...) adjustment. It is generally believed that factors such as high work pressure, high parenting costs, and low levels of happiness may be the main reasons for low fertility intentions. Studying this typical population of police officers may explore the relationship between work stress, happiness, and reproductive concerns, and provide evidence of Chinese sample.Objectives:To explore the relations between job burnout, subjective well-being, and generativity concern in Chinese police officers.Methods:The study used a cross-sectional survey to collect data from 494 police officers from H city in China. The participants completed the Maslach Burnout Inventory (MBI), the Family Adaptability and Cohesion Scale (FACESII), the Loyola Generativity Scale (LGS), and the Satisfaction with life scale (SWLS). Moderated mediation effect models assessed the association between job burnout, subjective well-being, and generativity concern.Results:Job burnout had a significant negative predictive effect on both subjective well-being and generativity concern, and subjective well-being played a mediating role between job burnout and generativity concern. In addition, family intimacy and adaptability had a significant negative moderating effect between subjective well-being and generativity concern. In a conclusion, there is a moderated mediating effect between job burnout and generativity concern.Conclusion:Subjective well-being played a mediating role between job burnout and generativity concern. (shrink)

The Laws is the longest and, according to tra-dition, the last of Plato’s dialogues. It was left ‘in the wax’ at the time of Plato’s death and brought into publication by Philip of Opus (D. L. 3.37). Whether Philip had a hand in editing the work or whether he merely tran-scribed it is uncertain (for one recent account, see Nails and Thesleff 2003). The most recent analyses of its style indicate significant affini-ties with the Sophist, Politicus and Philebus, though there (...) are stark differences in places. These, however, might be explained in vari-ous ways, and there has never been any ques-tion that the Lg. substantially contains the thought of Plato. If we set special problems of composition aside, including admittedly serious questions about the overall coher-ence of the dialogue, then the chief difficul-ties remaining for an interpreter of the Lg. include (a) its dramatic date and structure, (b) its relation to other political dialogues of Plato, especially the Republic and the Plt. and (c) the extensive discussion of cosmology and theology in L. bk 10. (shrink)

Let Γ be Mundici’s functor from the category $${\mathcal{LG}}$$ whose objects are the lattice-ordered abelian groups ( ℓ -groups for short) with a distinguished strong order unit and the morphisms are the unital homomorphisms, onto the category $${\mathcal{MV}}$$ of MV-algebras and homomorphisms. It is shown that for each strong order unit u of an ℓ -group G , the Boolean skeleton of the MV-algebra Γ ( G , u ) is isomorphic to the Boolean algebra of factor congruences of G.

Focused sequent calculi are a refinement of sequent calculi, where additional side-conditions on the applicability of inference rules force the implementation of a proof search strategy. Focused cut-free proofs exhibit a special normal form that is used for defining identity of sequent calculi proofs. We introduce a novel focused display calculus fD.LG and a fully polarized algebraic semantics FP.LG\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {FP.LG}$$\end{document} for Lambek–Grishin logic by generalizing the theory of multi-type calculi and their (...) algebraic semantics with heterogenous consequence relations. The calculus fD.LG has strong focalization and it is sound and complete w.r.t. FP.LG\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {FP.LG}$$\end{document}. This completeness result is in a sense stronger than completeness with respect to standard polarized algebraic semantics, insofar as we do not need to quotient over proofs with consecutive applications of shifts over the same formula. We also show a number of additional results. fD.LG is sound and complete w.r.t. LG-algebras: this amounts to a semantic proof of the so-called completeness of focusing, given that the standard (display) sequent calculus for Lambek–Grishin logic is complete w.r.t. LG-algebras. fD.LG and the focused calculus fLG of Moortgat and Moot are equivalent with respect to proofs, indeed there is an effective translation from fLG-derivations to fD.LG-derivations and vice versa: this provides the link with operational semantics, given that every fLG-derivation is in a Curry–Howard correspondence with a directional λ¯μμ~\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\overline{\lambda }\mu \widetilde{\mu }$$\end{document}-term. (shrink)

H. G. Liddell & R. Scott, A Greek-English Lexicon, rev. and aug. by Sir H. S. Jones. with the ass. of R. McKenzie, Oxford, Clarendon Press, 1940. ῥυθμός , Ion. ῥυσμός (v. infr. 111, IV), ὁ : (ῥέω) :— A. any regular recurring motion (“πᾶς ῥ. ὡρισμένῃ μετρεῖται κινήσει” Arist.Pr.882b2) : I. measured motion, time, whether in sound or motion, Democr.15c ; = ἡ τῆς κινήσεως τάξις, Pl.Lg.665a, cf. 672e ; “ὁ ῥ. ἐκ τοῦ ταχέος (...) - Études grecques et (...) latines. (shrink)