The present paper gives a topological solution to representability problems related to multi-utility, in the field of Decision Theory. Necessary and sufficient topologies for the existence of a semicontinuous and finite Richter–Peleg multi-utility for a preorder are studied. It is well known that, given a preorder on a topological space, if there is a lower semicontinuous Richter–Peleg multi-utility, then the topology of the space must be finer than the Upper topology. However, this condition fails to be sufficient. Instead of search (...) for properties that must be satisfied by the preorder, we study finer topologies which are necessary or/and sufficient for the existence of semicontinuous representations. We prove that Scott topology must be contained in the topology of the space in case there exists a finite lower semicontinuous Richter–Peleg multi-utility. However, the existence of this representation cannot be guaranteed. A sufficient condition is given by means of Alexandroff’s topology, for that, we prove that more order implies less Alexandroff’s topology, as well as the converse. Finally, the paper is implemented with a topological study of the maximal elements. (shrink)

It is well known that interval orders are particularly interesting in decision theory, since they are reflexive, complete and nontransitive binary relations which may be fully represented by means of two real-valued functions. In this paper, we discuss the existence of a pair of nonnegative, positively homogeneous and semicontinuous real-valued functionals representing an interval order on a real cone in a topological vector space. We recover as a particular case a result concerning the existence of a nonnegative, positively homogeneous and (...) continuous utility functional for a complete preorder on a real cone in a topological vector space. (shrink)

This paper proposes a way of navigating the tension between the local and global in Fratelli tutti. The author argues that the encyclical exemplifies and develops an analogical approach for authentic encounter. The analogical approach to God and its use of language emphasize a tensive space between the known and unknown, which the author transposes to human encounter. The encyclical grounds and develops this transposed analogical approach through emphasis on cultural diversity, with a bifocal affirmation of difference and desire for (...) relationship. Francis’s attention to Indigenous peoples grounds attention to the local as disposing toward a global outlook in care for the natural world. Finally, the author applies this approach to reflection on reconciliation between Indigenous peoples and the Church in Canada. Reflection on language is thereby put to the work of engaging the tensive and morally complex space between truth and reconciliation—namely, the space of encount er where healing is ongoing. (shrink)

The existence of a Richter–Peleg multi-utility representation of a preorder by means of upper semicontinuous or continuous functions is discussed in connection with the existence of a Richter–Peleg utility representation. We give several applications that include the analysis of countable Richter–Peleg multi-utility representations.

In lieu of an abstract, here is a brief excerpt of the content:Teaching the Trinity:Scripture and Performance of the Psychological Analogy in Aquinas's Summa TheologiaeZane E. ChuTeaching the Trinity, for St. Thomas Aquinas, takes its point of departure from Sacred Scripture. He makes this explicit at the outset of the Trinitarian treatise in the Summa theologiae, citing Christ's words at John 8:42, "from God I proceeded," and affirming, "divine Scripture in the things of divinity, uses words that pertain to procession."1 (...) The order of teaching then continues through speculative effort to give an account of the scriptural witness to the distinction of persons in God, in order to return to the same Scripture with a deeper grasp of its meaning.2Aquinas is a master of the sacred page, and his basic pedagogy for theology involves the "exercises of Sacred Scripture" of reading, disputing, and preaching.3 Recent scholarship draws attention to his reading of Scripture [End Page 1149] expressed in biblical commentaries as foundational for his teaching and as an interpretive context for his summative works.4 My purpose is to illustrate this basic pedagogy in the Trinitarian treatise of the Summa theologiae, taking the Lectura super Ioannem as an interpretive context for the analogies of word and love—the psychological analogy—for the Trinity. Most scholarly discussion of the psychological analogy elaborates on its theoretical aspects, with some attention to its scriptural foundation.5 I wish to show the priority of Scripture in Aquinas's employment of this analogy in three respects, namely, its foundation in exegesis, performative aspects, and orientation toward preaching.My investigation focuses on question 27 of the prima pars alongside pertinent sections of the Super Ioannem. I argue that citations from the Gospel of John (8:42, 15:26, and 14:16) in the sed contras of articles 1 and 3 function to ground the psychological analogy in scriptural exegesis and to prompt its performance. Turning to the corresponding commentary shows Aquinas leading the student to knowledge of Christ as divine Word and to love of him from the Holy Spirit that both leads to and follows upon such knowledge. This provokes an affective experience of loving Christ in knowing his divinity that is an actual performance of the psychological analogy. The magisterial responses then use this affective experience as a basis to facilitate a grasp of the analogy, the articulation of which is a further guided performance that reflects on this experience. Aquinas teaches the Trinity by exercising the student both affectively and intellectually in its scriptural foundation for a deeper grasp that prepares for preaching. I develop my argument in three [End Page 1150] main steps. First, I specify the place of Scripture in Aquinas's teaching and review the composition of the Trinitarian treatise. Then, I examine the first four articles of question 27 and corresponding sections of the Super Ioannem, in the order of the analogies of word and of love. Lastly, I consider Aquinas's treatment of the Holy Spirit's proper name of Love and subsequent preaching to illustrate Scripture as a point of arrival through performance of the psychological analogy.The Place of Scripture in Aquinas's TeachingFor Aquinas, Scripture is placed within his broader practice of sacra doctrina or holy teaching, attention to which assists in demonstrating how the Johannine citations ground the psychological analogy in Scripture and prompt its performance. Sacra doctrina has a primarily pastoral orientation, namely, to form Dominicans for preaching and hearing confessions.6 Though more speculative than practical, sacra doctrina as speculation or contemplation of the truth of Christian faith contained in Scripture is to be handed on to others.7 This requires training in the scriptural exercises of reading and disputing as preparation for preaching. These may be taken as "spiritual exercises" that engage not only thought, but also affectivity in service of personal transformation for the preacher's way of life.8 Aquinas's practice of sacra doctrina begins with reading Scripture as expressed in biblical commentaries, and develops in the Summa theologiae, which accesses Scripture through citations to offer a summative grasp of the truth contained therein. Here, I review the formal aspects of Aquinas's teaching from Scripture in these texts... (shrink)

Students and teachers of Chinese history and philosophy will not want to miss Daniel Gardner's accessible translation of the teachings of Chu Hsi —a luminary of the Confucian tradition who dominated Chinese intellectual life for centuries. Homing in on a primary concern of our own time, Gardner focuses on Chu Hsi's passionate interest in education and its importance to individual development. For hundreds of years, every literate person in China was familiar with Chu Hsi's teachings. They informed the curricula of (...) private academies and public schools and became the basis of the state's prestigious civil service examinations. Nor was Chu's influence limited to China. In Korea and Japan as well, his teachings defined the terms of scholarly debate and served as the foundation for state ideology. Chu Hsi was convinced that through education anyone could learn to be fully moral and thus travel the road to sagehood. Throughout his life, he struggled with the philosophical questions underlying education: What should people learn? How should they go about learning? What enables them to learn? What are the aims and the effects of learning? Part One of _Learning to Be a Sage_ examines Chu Hsi's views on learning and how he arrived at them. Part Two presents a translation of the chapters devoted to learning in the _Conversations of Master Chu_. (shrink)

The logical calculus for SAT are not valid for MaxSAT and MinSAT because they preserve satisfiability but not the number of unsatisfied clauses. To overcome this drawback, a MaxSAT resolution rule preserving the number of unsatisfied clauses was defined in the literature. This rule is complete for MaxSAT when it is applied following a certain strategy. In this paper we first prove that the MaxSAT resolution rule also provides a complete calculus for MinSAT if it is applied following the strategy (...) proposed here. We then describe an exact variable elimination algorithm for MinSAT based on that rule. Finally, we show how the results for Boolean MinSAT can be extended to solve the MinSAT problem of the multiple-valued clausal forms known as signed conjunctive normal form formulas. (shrink)

Neste livro, o autor percorre seis séculos de história da civilização ocidental em busca dos momentos decisivos da luta intelectual entre dominados e dominadores. Atento às formulações da tradição hegeliano-marxista e sem descartar os clássicos da Sociologia, Alfredo Bosi investiga a dinâmica de antagônicos, discursos que moldaram a feição da sociedade, bem como suas singularidades culturais. Na primeira parte, Alfredo Bosi discorre sobre alguns autores das áreas de filosofia, política e literatura universais, destacando as estratégias contraideológicas que utilizaram (...) para combater o pensamento hegemônico. Em seguida, volta-se para o Brasil analisando as interseções com a cultura ocidental e detendo-se em figuras, como Joaquim Nabuco e Celso Furtado. O capítulo final tenta desatar o nó ideológico que reconhece na obra de Machado de Assis. (shrink)

Nell'ultima decade la letteratura sugli effetti dei movimenti sociali ha conosciuto una notevole espansione. Questo sviluppo ha generato una domanda di miglioramento dei nostri approcci alla materia sia a livello teorico sia metodologico. Nonostante tutto questo, nel cercare di misurare l'impatto dei movimenti sociali, legando questi agli obiettivi che alcune componenti di un movimento dichiarano di avere, la ricerca scientifica sulla materia ha prodotto scarsi risultati. L'articolo suggerisce che per conoscere come i movimenti sociali producono cambiamento sociale bisogna guardare all'interrelazione (...) delle conseguenze e non limitarsi a studiare le conseguenze nel breve periodo ma estendere le analisi al lungo periodo. L'articolo vuole provocare una discussione sulla materia e identificare una nuova opportunitÀ d'investigazione empirica. (shrink)

L'esperienza del leggerescrivere ci ha guidati oltre i confini della nostra corporeitÀ in una esplorazione che ha riguardato noi stessi e il mondo. Terminato questo esercizio, la pratica dell'ipertestuale ci introduce a un modo di pensare narrativo, sensoriale e ambientale che attraversa le diverse Muse e le unisce nell'idioma col quale ci stiamo confrontando. Dopo il pensiero vettoriale che accumula lettere nelle parole e parole nelle pagine incatenandole in nessi causali, dubiteremo che una ragione abbia mai guidato i nostri passi (...) nei sentieri sempre interrotti del mondo e che una coscienza sia stata la vigile sentinella delle nostre intenzioni? (shrink)

We present here a direct elementary construction of continuous utility functions on perfectly separable totally preordered sets that does not make use of the well-known Debreu’s open gap lemma. This new construction leans on the concept of a separating countable decreasing scale. Starting from a perfectly separable totally ordered structure, we give an explicit construction of a separating countable decreasing scale, from which we show how to get a continuous utility map.

本书收录《基督教与道教比较论纲》、《天主教成圣观的天人合一幅度》、《论早期基督宗教的性爱伦理观》等20篇论文。.

The concept of the self and its relation to moral action is complex and subject to varying interpretations, not only between different academic disciplines but also across time and space. This paper presents empirical evidence from a cross-cultural study on the Buddhist and Confucian notions of self in SMEs in Vietnam and Taiwan. The study employs Hwang’s Mandala Model of the Self, and its extension into Shiah’s non-self-model, to interpret how these two Eastern philosophical representations of the self, the Confucian (...) relational self and Buddhist non-self, can lead to moral action. By demonstrating the strengths of the model, emphasizing how social and cultural influences constrain the individual self and promote the social person leading to moral action, the paper extends understanding of the self with empirical evidence of the mechanisms involved in organizational contexts. (shrink)

本书是作者的一部遗作。书中对中国国学大师王国维1898-1911年间11种哲学译稿进行了详尽周密考订和主板,可谓王国维研究的可喜成果。作者同时利用加“按”的形式,在许多细微的对比与议论中贯注了自己的审 美意识与世界观,也具有学术价值.

本书主要研究的是心理现象的形式、范围、本质、特征、心身关系、心理内容及其根源等,并对常识心理解释模式和心理学进行哲学反思。.

The inference systems proposed for solving SAT are unsound for solving MaxSAT and MinSAT, because they preserve satisfiability but not the minimum and maximum number of clauses that can be falsified, respectively. To address this problem, we first define a clause tableau calculus for MaxSAT and prove its soundness and completeness. We then define a clause tableau calculus for MinSAT and also prove its soundness and completeness. Finally, we define a complete clause tableau calculus for solving both MaxSAT and MinSAT, (...) in that the minimum number of generated empty clauses provides an optimal MaxSAT solution and the maximum number provides an optimal MinSAT solution. (shrink)