This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is (...) of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures. (shrink)

The techniques of natural duality theory are applied to certain finitely generated varieties of Heyting algebras to obtain optimal dualities for these varieties, and thereby to address algebraic questions about them. In particular, a complete characterisation is given of the endodualisable finite subdirectly irreducible Heyting algebras. The procedures involved rely heavily on Priestley duality for Heyting algebras.

Both syntactic and semantic solutions are given for the entailment problem of duality theory. The test algebra theorem provides both a syntactic solution to the entailment problem in terms of primitive positive formulae and a new derivation of the corresponding result in clone theory, viz. the syntactic description of $\operatorname{Inv(Pol}(R))$ for a given set R of finitary relations on a finite set. The semantic solution to the entailment problem follows from the syntactic one, or can be given in the form (...) of an algorithm. It shows, in the special case of a purely relational type, that duality-theoretic entailment is describable in terms of five constructs, namely trivial relations, intersection, repetition removal, product, and retractive projection. All except the last are concrete, in the sense that they are described by a quantifier-free formula. It is proved that if the finite algebra $\underline{M}$ generates a congruence-distributive variety and all subalgebras of $\underline{M}$ are subdirectly irreducible, then concrete constructs suffice to describe entailment. The concept of entailment appropriate to strong dualities is also introduced, and described in terms of coordinate projections, restriction of domains, and composition of partial functions. (shrink)

The paper investigates completions in the context of finitely generated lattice-based varieties of algebras. In particular the structure of canonical extensions in such a variety $${\mathcal {A}}$$ is explored, and the role of the natural extension in providing a realisation of the canonical extension is discussed. The completions considered are Boolean topological algebras with respect to the interval topology, and consequences of this feature for their structure are revealed. In addition, we call on recent results from duality theory to show (...) that topological and discrete dualities for $${\mathcal {A}}$$ exist in partnership. (shrink)

An English language translation accompanies the original Greek text of Aristotle's book about the nature of the state, constitutions, revolutions, democracy, and oligarchy.

The relevance of the research is that university and business collaboration is the main implementation tool of the third university mission. University-business collaboration has risen to one of the top priorities for many higher education institutions, with its importance mirroring attention from scholars and policy makers worldwide. In the face of increasing global competition, business was challenged to seek new methods for creating their competitive advantage and at the same time, the decreasing budgets of higher education institutions were pressured to (...) find new streams of financing. In both cases, collaboration in different forms is an important method for achieving their objectives. Ten types of UBC are related quite directly to the missions of the university and the needs of business but one of them curriculum development and delivery is very important. Using this form for UBC, could help to develop human resources relevant to modern society. The main instruments and activities in this form of collaboration as identified by business is too little used. The research aim was to identify the activities of university and leisure organizations used for collaboration in curriculum development. The objectives of the research: to determine the forms of UBC, to identify the activities used for universities and leisure organizations collaboration in curriculum development. Analysis of recent research and publications. UBC became the subject of education and management sciences. Recently, much attention has been paid to UBC collaboration practices especially a lot of research on practices was done about universities collaboration in R&D and commercialisation of R&D. P. D'Este and M. Perkmann explored the factors of UBC, the types were identified by T. Davey, T. Baaken, V. Galan Muros, A. Meerman, T. Barnes, A. Gibbons and the levels of UBC were represented by B.N. Ponomariov, P.C. Boardman, T. Davey. The benefits of UBC to research quality have been studied by researchers M. Crespo and H. Dridi, as a collaborative factor for learning improvement by researchers K. Ramakrishnan, N.M. Yasin, A. Draghici, as a quality factor UBC was analysed by M. Perkmann, Z. King, S. Pavelin. The main researchers who analysed the UBC in curriculum development was the T. Davey, A. Healy, C. Plewa, T. Baaken. An overview of the study of this object shows that it was mostly analysed in vocational training and in last ten years’ period the publications is growing in UBC. Research methodology. The paper seeks to represent the collaboration forms, which was used by university with the business organizations from leisure industry. As well, it seeks to identify the activities of business collaboration in curriculum design, development and evaluation. Methods applied for the research was scientific literature review, a questionnaire survey for business organization leaders and mathematical statistics. Conclusion. The results of business organizations show the positive impact for increasing the university collaboration as a hole but in study programs, curriculum development shows that it is needed more business engagement. With the business engagement into curriculum academics, expect to be given the opportunity to transfer theoretical ideas into practical projects and to implement research in the real world. At the same time, the business engage in the curriculum development mostly through giving guest’s lectures and consultations, place for practice, or organizing the different events with the academics. (shrink)

The relevance of the research In the face of increasing global competition, business was challenged to seek new methods for creating their competitive advantage and at the same time the decreasing budgets of higher education institutions were pressured to find new streams of financing. In both cases, collaboration is seen as an important method for achieving their objectives but universities of today have as well to find the appropriate balance between teaching, basic and applied research, and entrepreneurship. Ten types of (...) university-business collaboration are related quite directly to the missions of the university and the needs of business. Curriculum development and delivery is one of that ten, which aim is to develop human resources to modern society. A summary of benefits was identified in the academic literature as arising from UBC in relation to curriculum design and delivery for multiple stakeholders including academics, students, university administration, business and community. Overall, UBC may take various forms that are influenced by different factors but even if all stakeholders seeks the main purpose of this process they may get different benefits. The research aim was to identify the benefits of universities and business organizations in curriculum development. The objectives of the research: to determine the instruments and activities used for universities and business organizations collaboration, to identify universities and business organizations benefits from collaboration to the various stakeholder groups. Analysis of recent research and publications. UBC became the subject of education and management sciences. P. D'Este and M. Perkmann explored the factors of UBC, the types were identified by T. Davey, T. Baaken, V. Galan Muros, A. Meerman, T. Barnes, A. Gibbons and the levels of UBC were represented by B.N. Ponomariov, P.C. Boardman, T. Davey, R. Laužackas. The benefits of UBC to research quality have been studied by researchers T. Davey, M. Crespo, N. Carayol, H. Forsyth, R. Laxton, S. Lamichhane, T. Nath Sharma, P. Van der Sijde and H. Dridi, as a collaborative factor for learning improvement by researchers K. Ramakrishnan, N.M. Yasin, A. Draghici. An overview of the study of this object shows that it was mostly analysed in vocational training and in last ten years’ period the publications is growing in UBC. Research methodology. The paper seeks to represent the UBC benefits for different stakeholders and collaboration forms, which was used by university with the business organizations from leisure industry. Quantitative research was used to gain quantify opinions of benefits and instruments of UBC – and generalize results from a larger sample population. Methods applied for the research was scientific literature review, a questionnaire survey for business organization leaders and mathematical statistics. Conclusion. The benefits of the UVB were grouped according to the type of stakeholder's: society, university administration, academics, entrepreneurs, students. The benefits of business stakeholders include additional funding, access to education resources, lecturer and coordinator, support in evaluating the program and developing new study subjects. The highest rated benefit to others stakeholders from their view could be reducing academic staff training costs, as well as business information available to student projects, skills development and student employment opportunities and human resource development in the region. (shrink)

Man (Islam); Islamic philosophy; Islamic ethics.

Recreational Drugs European Network (ReDNet) project aims to use the Psychonaut Web Mapping Project database (Psychonaut Web Mapping Group, 2009) containing novel psychoactive compounds usually not mentioned in the scientific literature and thus unknown to clinicians as a unique source of information. The database will be used to develop an integrated ICT prevention approach targeted at vulnerable individuals and focused on novel synthetic and herbal compounds and combinations. Particular care will be taken in keeping the health professionals working directly with (...) young people showing problematic behaviors regularly updated in terms of novel compounds and combinations as well. A user-friendly project website will be developed aimed primarily at delivering the information/prevention approaches, but will also be a way of communicating with project partners and relevant stakeholders (e.g. thematic forum facilities, instant messages, blogs, video chat, wikiblog, newsletters distributed via mailing list). The website will support various ICT prevention tools, including an SMS alert service. Different areas and sections will be aimed specifically at the different target groups. -/- . (shrink)

Philosophy; philosophical theology; philosophical anthropology; history.

The book called 'The Consolation of Philosophy' was throughout the Middle Ages, and down to the beginnings of the modern epoch in the sixteenth century, the scholar's familiar companion. Few books have exercised a wider influence in their time. It has been translated into every European tongue, and into English nearly a dozen times, from King Alfred's paraphrase to the translations of Lord Preston, Causton, Ridpath, and Duncan, in the eighteenth century.

Healing Emotions is the record of an extraordinary series of encounters between the Dalai Lama and prominent Western psychologists, physicians, and meditation teachers that sheds new light on the mind-body connection. Edited by Pulitzer Prize nominee and best-selling author Daniel Goleman.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Collected sayings of Muslim Caliphs and saints.

This is a collection of essays on themes of legal philosophy which have all been generated or affected by Hart's work. The topics covered include legal theory, responsibility, and enforcement of morals, with contributions from Ronald Dworkin, Rolf Sartorius, Neil MacCormach, David Lyons, Kent Greenawalt, Michael Moore, Joseph Raz, and C.L. Ten, among others.

pereḳ 1. ʻOśeh fele -- pereḳ 2. Ḥidud be-divre Torah -- pereḳ 3. Ḥidud be-mile de-ʻalma -- pereḳ 4. Ḳetsat shut śikhliyot ṿe-ʻimahem shene derushim le-midrash Talmud Torah.

This article is the text of an interview with D. H. Mellor conducted by Andrew Pyle and first published in the Spring 1993 issue of the philosophical journal Cogito.