Projective algebra and the calculus of relations

1978 ◽  
Vol 43 (1) ◽  
pp. 56-64 ◽  
Author(s):  
A. R. Bednarek ◽  
S. M. Ulam
Keyword(s):  
Direct Product ◽  
Initial Step ◽  
Point Of View ◽  
Partial Product ◽  
Cylindric Algebras ◽  
Polyadic Algebras ◽  
Algebra Of Relations ◽  
Projective Algebra

In [1] there were given postulates for an abstract “projective algebra” which, in the words of the authors, represented a “modest beginning for a study of logic with quantifiers from a boolean point of view”. In [5], D. Monk observed that the study initiated in [1] was an initial step in the development of algebraic versions of logic from which have evolved the cylindric and polyadic algebras.Several years prior to the publication of [1], J. C. C. McKinsey [3] presented a set of postulates for the calculus of relations. Following the publication of [1], McKinsey [4] showed that every projective algebra is isomorphic to a subalgebra of a complete atomic projective algebra and thus, in view of the representation given in [1], every projective algebra is isomorphic to a projective algebra of subsets of a direct product, that is, to an algebra of relations.Of course there has since followed an extensive development of projective algebra resulting in the multidimensional cylindric algebras [2]. However, what appears to have been overlooked is the correspondence between the Everett–Ulam axiomatization and that of McKinsey.It is the purpose of this paper to demonstrate the above, that is, we show that given a calculus of relations as defined by McKinsey it is possible to introduce projections and a partial product so that this algebra is a projective algebra and conversely, for a certain class of projective algebras it is possible to define a multiplication so that the resulting algebra is McKinsey's calculus of relations.

DMSP – Database for Modeling Signaling Pathways

2008 ◽  
Vol 47 (02) ◽  
pp. 104-148
Author(s):  
M. Breit ◽  
B. Pfeifer ◽  
C. Baumgartner ◽  
R. Modre-Osprian ◽  
B. Tilg ◽  
...  
Keyword(s):  
Knowledge Base ◽  
Signaling Pathways ◽  
Protein Interaction ◽  
Initial Step ◽  
Point Of View ◽  
Biological Knowledge ◽  
Literature Study ◽  
Online Databases ◽  
Qualitative Level ◽  
Pathway Models

Summary Objectives: Presently, the protein interaction information concerning different signaling pathways is available in a qualitative manner in different online protein interaction databases. The challenge here is to derive a quantitative way of modeling signaling pathways from qualitative way of modeling signaling pathways from a qualitative level. To address this issue we developed a database that includes mathematical modeling knowledge and biological knowledge about different signaling pathways. Methods: The database is part of an integrative environment that includes environments for pathway design, visualization, simulation and a knowledge base that combines biological and modeling information concerning pathways. The system is designed as a client-server architecture. It contains a pathway designing environment and a simulation environment as upper layers with a relational knowledge base as the underlying layer. Results: DMSP – Database for Modeling Signaling Pathways incorporates biological datasets from online databases like BIND, DIP, PIP, and SPiD. The modeling knowledge that has been incorporated is based on a literature study. Pathway models can be designed, visualized and simulated based on the knowledge stored in the DMSP. The user can download the whole dataset and build pathway models using the knowledge stored in our database. As an example, the TNF? pathway model was implemented and tested using this approach. Conclusion: DMSP is an initial step towards the aim of combining modeling and biological knowledge concerning signaling pathways. It helps in understanding pathways in a qualitative manner from a qualitative level. Simulation results enable the interpretation of a biological system from a quantitative and systemtheoretic point of view.

scholarly journals PEMIKIRAN FAZLUR RAHMAN TENTANG PENDIDIKAN DAN RELEVANSINYA DALAM DUNIA MODERN

2019 ◽  
Vol 1 (4) ◽  
pp. 408-424
Author(s):  
Dwy Purwaningsih
Keyword(s):  
Public Education ◽  
Human Life ◽  
Human Person ◽  
Secondary Data ◽  
Initial Step ◽  
Point Of View ◽  
Islamic Education ◽  
Primary Data ◽  
Modern World ◽  
Educational Thought

Pragmatic education thought-instrumental is a philosophic point of view that blends with the religious viewpoint of abstract speculation in outlining the education. One of renewing Islamic education is Fazlur Rahman. According to him, the goal of Islamic education are as renewal which is the initial step in the Islamization for all aspects of human life. The study of library (library research) i.e. research sourced from material libraries using a qualitative approach. In this case, the author does exploration of a number of primary data as well as secondary data. The author does an analysis of the concept of Islamic education prespective Fazlur Rahman and relevance against the modern world. The concept of educational thought Fazlur Rahman i.e. the Qur'an as a guide in resolving every problem and the answer and make the human person that are creative, have moral values in accordance with the Qur'an. Whereas, education as an alternative to the secular science by receiving updates and tried to enter it with Islamic concepts as for Islamic education renewal effort started from the educational objectives, educational system, learners, educators and the means of education. The relevance of educational thought on modern world Fazlur Rahman now is integration between religion and discrimination through public education, omission of religion and public education, this has been done wrong by the College namely IAIN with try to follow the thinking of education Fazlur Rahman dare change the State Islamic University (UIN).

Pricing for higher education institutions: a value-based approach

2016 ◽  
Vol 30 (6) ◽  
pp. 929-940 ◽  
Author(s):  
Amizawati Mohd Amir ◽  
Sofiah Md Auzair ◽  
RUHANITA MAELAH ◽  
Azlina Ahmad
Keyword(s):  
Higher Education ◽  
Customer Value ◽  
Higher Education Institutions ◽  
Initial Step ◽  
Educational Programme ◽  
Point Of View ◽  
Content Type ◽  
A Value ◽  
One Step ◽  
The Right

Purpose – The purpose of this paper is to propose the concept of higher education institutions (HEIs) offering educational services based on value for money. The value is determined based on customers’ (i.e. students) expectations of the service and the costs in comparison to the competitors. Understanding the value and creating customer value are a means to attain competitive advantage and constitute the basis of price setting. Drawing upon this belief, as an initial step towards value-based pricing method, the possible value factors are suggested for calculating educational programme prices across HEIs. Design/methodology/approach – This is a conceptual paper introducing the value-based pricing approach in setting HEI tuition fees. Extending prior discussion on the demand for quality education and current financial challenges faced by HEIs, it introduces the concept pricing based upon customer perceived value (student/industry). Value-based pricing is deemed appropriate in view of the value of short tangible and intangible investment by both parties (students and HEIs) to differentiate in terms of setting the right price for the right university for the right student. Findings – The primary aim is to suggest the applicability of value-based pricing for HEIs, which is likely to be both relevant and fruitful for the sustainability of the sector. It represents a personal point of view; building upon a review of the literature, the paper extends the established knowledge one step further in terms of setting the right price for the right university, which is deemed worthy of further study and development. Originality/value – The paper will be of use to the management and policymakers in the education sector in searching for a contemporary pricing mechanism for higher education.

Finitary Polyadic Algebras from Cylindric Algebras

Studia Logica ◽  
2007 ◽  
Vol 87 (1) ◽  
pp. 1-11 ◽  
Author(s):  
Miklós Ferenczi
Keyword(s):  
Cylindric Algebras ◽  
Polyadic Algebras

Native Land Tenure in East Africa

Africa ◽  
1931 ◽  
Vol 4 (3) ◽  
pp. 314-329 ◽  
Author(s):  
L. P. Mair
Keyword(s):  
East Africa ◽  
Land Tenure ◽  
Initial Step ◽  
Point Of View ◽  
Native Land ◽  
Opening Paragraph ◽  
Colonial Government

Opening ParagraphOf all the problems of policy which confront colonial administrations, the question of land alienation is the most fundamental and the most pressing. Colonization is meaningless apart from the provision of land for the colonist to live upon; and from the colonist's point of view it is unattractive unless land is provided in large quantities. But since no African colony—and least of all any desirable tract of land in Africa—is entirely uninhabited, the problem immediately becomes that of reconciling conflicting claims. The first duty of every colonial government is to formulate the principles upon which this adjustment shall be made. Whether or not its initial step is to declare that all land belongs to the Crown is of comparatively little relevance; for in any case it is the white government which decides what shall be done with it. The use of another formula does no more than express an intention; it cannot give the native a power which he loses irremediably as soon as colonial government comes into being.

Nonfinitizability of classes of representable polyadic algebras

1969 ◽  
Vol 34 (3) ◽  
pp. 344-352 ◽  
Author(s):  
James S. Johnson
Keyword(s):  
Predicate Logic ◽  
Free Algebras ◽  
Cylindric Algebra ◽  
Cylindric Algebras ◽  
Polyadic Algebras

The notion of polyadic algebra was introduced by Halmos to reflect algebraically the predicate logic without equality. Later Halmos enriched the study with the introduction of the notion of equality. These algebras are very closely related to the cylindric algebras of Tarski. The notion of diagonal free cylindric algebra predates that of cylindric algebra and is also due to Tarski. The theory of diagonal free algebras forms an important fragment of the theories of polyadic and cylindric algebras.

scholarly journals Conservative Intensional Extension of Tarski's Semantics

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Zoran Majkić
Keyword(s):  
Free Algebra ◽  
Possible Worlds ◽  
Order Logic ◽  
Point Of View ◽  
Relational Algebra ◽  
First Order Logic ◽  
Cylindric Algebras ◽  
Possible World ◽  
Logic Formula ◽  
First Order

We considered an extension of the first-order logic (FOL) by Bealer's intensional abstraction operator. Contemporary use of the term “intension” derives from the traditional logical Frege-Russell doctrine that an idea (logic formula) has both an extension and an intension. Although there is divergence in formulation, it is accepted that the “extension” of an idea consists of the subjects to which the idea applies, and the “intension” consists of the attributes implied by the idea. From the Montague's point of view, the meaning of an idea can be considered as particular extensions in different possible worlds. In the case of standard FOL, we obtain a commutative homomorphic diagram, which is valid in each given possible world of an intensional FOL: from a free algebra of the FOL syntax, into its intensional algebra of concepts, and, successively, into an extensional relational algebra (different from Cylindric algebras). Then we show that this composition corresponds to the Tarski's interpretation of the standard extensional FOL in this possible world.

Copeland algebras

1972 ◽  
Vol 37 (4) ◽  
pp. 646-656 ◽  
Author(s):  
Daniel B. Demaree
Keyword(s):  
Predicate Logic ◽  
Algebraic Logic ◽  
Boolean Algebras ◽  
Primary Concern ◽  
Cylindric Algebras ◽  
First Order ◽  
Polyadic Algebras ◽  
Algebraic Setting ◽  
Finite Set ◽  
Natural Way

It is well known that the laws of logic governing the sentence connectives—“and”, “or”, “not”, etc.—can be expressed by means of equations in the theory of Boolean algebras. The task of providing a similar algebraic setting for the full first-order predicate logic is the primary concern of algebraic logicians. The best-known efforts in this direction are the polyadic algebras of Halmos (cf. [2]) and the cylindric algebras of Tarski (cf. [3]), both of which may be described as Boolean algebras with infinitely many additional operations. In particular, there is a primitive operator, cκ, corresponding to each quantification, ∃υκ. In this paper we explore a version of algebraic logic conceived by A. H. Copeland, Sr., and described in [1], which has this advantage: All operators are generated from a finite set of primitive operations.Following the theory of cylindric algebras, we introduce, in the natural way, the classes of Copeland set algebras (SCpA), representable Copeland algebras (RCpA), and Copeland algebras of formulas. Playing a central role in the discussion is the set, Γ, of all equations holding in every set algebra. The reason for this is that the operations in a set algebra reflect the notion of satisfaction of a formula in a model, and hence an equation expresses the fact that two formulas are satisfied by the same sequences of objects in the model. Thus to say that an equation holds in every set algebra is to assert that a certain pair of formulas are logically equivalent.

Building a model of researching the sustainable entrepreneurship in the tourism sector

Kybernetes ◽  
2014 ◽  
Vol 43 (3/4) ◽  
pp. 377-393 ◽  
Author(s):  
Katja Crnogaj ◽  
Miroslav Rebernik ◽  
Barbara Bradac Hojnik ◽  
Doris Omerzel Gomezelj
Keyword(s):  
Policy Making ◽  
Initial Step ◽  
Point Of View ◽  
Levels Of Analysis ◽  
Future Research ◽  
Sustainable Entrepreneurship ◽  
Content Type ◽  
Requisite Variety ◽  
Long Run ◽  
Tourism Sector

Purpose – The tourism sector is heavily dependent on entrepreneurship and cannot survive in the long run if it is not both sustainable and entrepreneurial at the same time; these three areas – entrepreneurship, sustainability, and tourism – are rarely linked in research and are not reflected in appropriate policy-making measures. Thus, the purpose of this paper is to develop a conceptual multilevel model that will provide a requisitely holistic means for studying sustainable entrepreneurship in the tourism sector. Design/methodology/approach – In the process of developing a model, the authors took into account the principle of requisite variety and considered various dimensions related to sustainable entrepreneurship implicated at three levels of analysis – namely, individual (entrepreneur), organizational (SME), and national/regional (tourism destination). Findings – The proposed model provides systemic and systematic views on sustainable entrepreneurship in the tourism sector and contains various levels of analysis. The holistic framework for studying sustainable entrepreneurship in the tourism helps highlight influential elements from an economics point of view as well as their measurable and internationally comparable outcomes. Originality/value – The suggested model represents an initial step toward the measurement of sustainable entrepreneurship in tourism at various levels, thereby making a valuable contribution to future research designs seeking to evaluate the benefits of sustainable entrepreneurship. The paper provides an important foundation for evidence-based policy making with the aim of fostering requisitely holistic behavior and innovative, responsible, and sustainable entrepreneurship practices in the tourism sector.

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