Discrete Mathematics is designed to serve as a textbook for undergraduate engineering students of computer science and postgraduate students of computer applications. The book would also prove useful to post graduate students of mathematics. It seeks to provide a thorough understanding of the subject and present its practical applications to computer science.

Unethical business in India became a recognized phenomenon during the second World War. Academic/journalistic/legal concern with ethics has become visible only during the nineties. Corruption-of-the-poor and corruption-of-the-rich need to be distinguished - especially in the context of globalization. The danger of attributing unethical practices to system failure is recognized. It is also important to bring to bear on intellectual property rights the more fundamental principle of natural property rights. Consciousness ethics will be more crucial than just intellectual ethics.

In this work, S.K. Chakraborty develops the themes propounded in his earlier work to provide a systematic presentation of the relevant vedantic and allied principles in a conceptual and empirical framework. From an overall perspective of vedantic ethical vision and its application to managerial and corporate ethical morality, the book examines what the Vedantic ethical system, and great thinkers like Tagore, Gandhi, Burobindo and others, can teach us about such questions as individual leadership, transformation of the work ethos, ethics (...) and productivity, and others. Throughout, the conceptual and the empirical are closely intertwined, and substantial graphic appendices on the Tata leadership crisis of 1991 and the securities scam of 1991-92 give an immediacy and relevance to the analysis. (shrink)

The paper highlights the alienation and separation produced by science—technology between man and nature, and between man and man. The principal thesis in this paper is that such separative mentality is the root cause of the deterioration in ethics even in unexpected quarters. Warnings about this were foreseen by a number of Indian livers and thinkers during the early twentieth century. Their prophecies seem to be unfortunately coming true. After sharing this sample of opinions, several recent cases of vicious unethicalities (...) all over the world have been presented. This is followed by a brief survey of Western thought over the past six decades which too was mature enough to caution us about the blind onslaught of technology. The paper concludes by arguing for a complete overhaul of the vocabulary of modern discourse from the objective to the subjective. (shrink)

This volume is a collection of S.K. Chakraborty's papers on the east-west distinction in worldviews. The essays are reflective and deliberate upon philosophical diferences and attitudes of thinkers that have shaped the behavior of the common man, both in and out of the workplace.

This article comprises deep structure clues to ethical issues in our lives drawn from the wisdom writings of Tagore, Vivekananda, Gandhi and Aurobindo. All of them had recognized frankly the negative tendencies of man-as-he-is. This fault at the base needs systematic correction and restoration. For, the positive spiritual potential of man-as-he-could-be requires a fault-free baseline as the runway. All of them readily accept the classical word ‘character’ as signifying such a base. Illustrations from various walks of life, small or big, (...) have been interspersed in the article to indicate the essential connections of principle to reality. It is hoped that we might consent to draw sustenance for ethics from our very roots despite inevitable failures or slippages. Ethics is too precious to gain or preserve without persistent battles with one’s own self. Codes and laws are but thin layers of icing on the ethical cake. (shrink)

This omnibus comprises three outstanding books by Professor S.K. Chakraborty on the need for value-driven management and corporate ethics - "Management by Values", "Ethics in Management", and "Values and Ethics for Organizations".

This paper establishes that the contemporary figures of organizational leadership are at best excellent examples of 'dealership' characterized by high skills-competence and low values-commitment. The author points out that managerial and organizational psychology for leadership is yet to grapple with the most fundamental of all the themes: the complete model of man which places the spirit-core of SELF in the centre. The paper upholds the classical Indian concept of wisdom leadership and introduces the rajarshi model of the leader as the (...) very embodiment of satya and rita. The author then dwells on the nature of'rishi-consciousness' and elaborates on the 'rishi' process which leads to the unfoldment of unitive SELF-awareness or ekatmanubhuti. Speaking on behalf of one of the most enduring civilizations of the world, the author asserts that wisdom leadership comes from the ability to perceive the indivisible whole and this ability is not a function of the thinking, reasoning mind but of the intuitive, spiritual mind. (shrink)

This paper is an adventure of ideas which draws on the 'magic—magician' metaphor of medieval India to define the current existential predicament of the world. The author sets an agenda for reprioritization for restoring the imbalance in the fragmented human consciousness. This, the paper suggests, can be done by a gradual return to the subjective causal source of all our problems. The waning of the Objective Age created by science-technology-industrialism has led to a 'mutilating assimilative im balance' in this world. (...) The author urges the readers to strive for a subjective metanoia to counteract the objective paranoia of our times. (shrink)

This article takes a close look at the nature offeminine values in congruence with natural law. The thoughts of Tagore primarily and to a lesser degree of Vivekananda, Gandhi and Nivedita on this most momentous area of social-psychological well-beingfor humans are highlighted. Trendy and shallow modernism seems to be aiming at cheap goals in the name of women's liberation, and the long-term damage to humanity is becoming incalculable. The tragic and bizarre events occurring across the whole spectrum, from homes and (...) schools to business and politics, can be traced in a big way to the hot pace of centrifugalized breaking up of stable family values woven around natural, centripetal feminine values. (shrink)

In a world fraught with violence in its macabre form, it is essential to have a broad and clear understanding of the principle of non-violence (ahimsa), its various nuances, its potential and limitations. Covering a span of wisdom literature on the Indian ethos from the times of the Upanishads to the works of modern seers like Gandhi, Tagore and Aurobindo, the author presents the notions of non-violence and violence along a finely graduated scale instead of going into sharp polarities. While (...) making a clear distinction between gross physical violence and the subtle play of violence in words, thoughts and ideas, the paper goes on to offer a critique of modern technology and nuclear proliferation for perpetrating violence on nature and fellow human beings in the name of progress and development. While expressing his admiration for the Gandhian principle of non-violence, the author advocates practical idealism that admits violence with caution but without hatred for the purpose of general welfare (lokasamgraha), along the lines of the messages of Krishna in the Gita. This is of practical necessity till such time as the world has been awakened to a heightened level of spiritual consciousness. (shrink)

On 27 February 1998, the Indian Institute of Management, Calcutta and the office of the Fulbright binational educational exchanges in Calcutta jointly hosted a seminar on 'The Tradition of Non Violence: The American Experience and the Gandhian' at the Management Centre for Human Values. There were two keynote presentations. The one on the American experience was by Michael True, Professor of English Literature at Assumption College, Massachusetts, who was teaching as Fulbright visiting lecturer at Utkal University, Bhubaneswar. The Gandhian case (...) was presented by Profes sor Amlan Datta, economist and writer, also former Vice-Chancellor of Visva-Bharati University, Santiniketan. The session was chaired by Professor Amitava Bose, Director, Indian Institute of Management. To close the discussions, a summing up was presented by Professor S.K. Chakraborty, Convenor, Management Centre for Human Values. The importance of discussions on the subject of non-violence and the Gandhian alterna tive cannot be overestimated in this year of the 50th anniversary of Indian independence and a nationwide soul-searching over these five decades. The US Educational Foundation in India contributed to the national discussion through this bilateral seminar and its comparative perspective. (shrink)

© 2016 Regents of the University of California.The Review summarizes much of particle physics and cosmology. Using data from previous editions, plus 3,062 new measurements from 721 papers, we list, evaluate, and average measured properties of gauge bosons and the recently discovered Higgs boson, leptons, quarks, mesons, and baryons. We summarize searches for hypothetical particles such as supersymmetric particles, heavy bosons, axions, dark photons, etc. All the particle properties and search limits are listed in Summary Tables. We also give numerous (...) tables, figures, formulae, and reviews of topics such as Higgs Boson Physics, Supersymmetry, Grand Unified Theories, Neutrino Mixing, Dark Energy, Dark Matter, Cosmology, Particle Detectors, Colliders, Probability and Statistics. Among the 117 reviews are many that are new or heavily revised, including those on Pentaquarks and Inflation. The complete Review is published online in a journal and on the website of the Particle Data Group. The printed PDG Book contains the Summary Tables and all review articles but no longer includes the detailed tables from the Particle Listings. A Booklet with the Summary Tables and abbreviated versions of some of the review articles is also available. (shrink)

In this paper, we study some classes of logical structures from the universal logic standpoint, viz., those of the Tarski- and the Lindenbaum-types. The characterization theorems for the Tarski- and two of the four different Lindenbaum-type logical structures have been proved as well. The separations between the five classes of logical structures, viz., the four Lindenbaum-types and the Tarski-type have been established via examples. Finally, we study the logical structures that are of both Tarski- and a Lindenbaum-type, show their separations, (...) and end with characterization, adequacy, minimality, and representation theorems for one of the Tarski–Lindenbaum-type logical structures. (shrink)

In this paper, we study two companions of a logic, viz., the left variable inclusion companion and the restricted rules companion, their nature and interrelations, especially in connection with paraconsistency. A sufficient condition for the two companions to coincide has also been proved. Two new logical systems—intuitionistic paraconsistent weak Kleene logic (IPWK) and paraconsistent pre-rough logic (PPRL)—are presented here as examples of logics of left variable inclusion. IPWK is the left variable inclusion companion of intuitionistic propositional logic and is also (...) the restricted rules companion of it. PPRL, on the other hand, is the left variable inclusion companion of pre-rough logic but differs from the restricted rules companion of it. We have discussed algebraic semantics for these logics in terms of Płonka sums. This amounts to introducing a contaminating truth value, intended to denote a state of indeterminacy. (shrink)

The paper explores the relationship between learning, spirituality and management. The American philoso pher Gregory Bateson's theory on categories of learning provides the backdrop for the analysis and this is compared with a model of spiritual development developed by S.K. Chakraborty from the Indian Institute of Management in Calcutta. These two models propose that spiritual development is linked with both learning and existence, but only those forms of learning and existence which are subjective in nature and inspire the learner (...) to pursue a path of self development. The models suggest that while the traditional frameworks of spiritual teaching via the church and the like might satisfy many Christians, its domination is coming under threat by a growing number in the community who are seeking a form of spirituality that is less connected with dogma. The form of learning that this movement represents finds its parallel in management, with the emergence offlatter structures and finding ways to involve employees in the decision-making process. The article presents the results of a survey conducted at the 1998 Spirituality, Leadership and Management conference to determine attendees'views on spirituality, leadership and management, and how these comform to the expectations as outlined in Bateson's categories of learning and Chakraborty's categories of existence. (shrink)

Горобец К. В. Аксиосфера права: философский и юридический дискурс : моногр. / К. В. Горобец. – Одесса : Фенікс, 2013. – 218 с. Монография посвящена философско-правовым аспектам аксиосферы права, которая предстает в качестве структурного компонента права и выражается в виде центрированной системы правовых ценностей и иерархизированной системы ценностей права. Правовые ценности рассматриваются как феномены, являющиеся одновременно компонентами права и способом его постижения. Ценности права понимаются как блага, которые защищаются и обеспечиваются правом в силу их значимости для человека и общества. Доказывается, (...) что аксиосфера права существует наряду с нормосферой права. При этом их целостность обеспечивается посредством особого феномена – верховенства права. Монография будет полезна специалистам в сфере философии права, общетеоретической юриспруденции, отраслевых юридических наук, а также всем, кто интересуется проблемами развития современного права. (shrink)

The role of Indian ethos in management practices is explored by several management scholars and practitioners. Professor Sitangshu Kumar Chakraborty (popularly known as Professor S. K. Chakraborty, hereinafter referred to as SKC in this article) is one of the pioneering scholars of human value-oriented management practices and has made significant contributions in linking the management knowledge and practices to classical Indian ethos and Vedantic wisdom. In today’s technologically advanced and economically fast-paced world, there is a rising concern about (...) falling human values in work and in personal life, which must be addressed to understand the deeper meaning of work and a higher purpose in life. SKC’s innovative approaches to human values in management education for practising managers are quite significant in this regard. This article is a sincere attempt to explore and synthesize the contributions of SKC to the human value-oriented management that evolved around the fundamental pillars of classical Indian ethos and Vedantic wisdom and the implication of those values for today’s managers to realign their managerial practices. This article is based on a bibliometric analysis of published articles drawn from secondary sources and is a tribute to the life and legacy of SKC on human value-based management. (shrink)

Although we believe the results reported below to have direct philosophical import, we shall for the most part confine our remarks to the realm of mathematics. The reader is referred to [4] for a philosophically oriented discussion, comprehensible to mathematicians, of tense logic.The “minimal” tense logicT0is the system having connectives ∼, →,F(“at some future time”), andP(“at some past time”); the following axioms:(whereGandHabbreviate ∼F∼ and ∼P∼ respectively); and the following rules:(8) fromαandα → β, inferβ,(9) fromα, infer any substitution instance ofα,(10) fromα, (...) inferGα,(11) fromα, inferHα.A tense logic is a systemTwhose language is that ofT0and whose axioms and rules include (1)–(11). The axioms and rules ofTother than (1)–(11) are calledproperaxioms and rules.We shall investigate three systems of semantics for tense logics, i.e. three notions ofstructureand three relations ⊧ which stand between structures and formulas. One reads⊧αas “αis valid in.” A structureis amodelof a tense logicTif every formula provable inTis valid in. A semantics isadequateforTif the set of models ofTin the semantics is characteristic forT, i.e. if wheneverT ∀ αthen there is a modelofTin the semantics such that∀ α. Two structuresand, possibly from different semantics, are calledequivalent(∼) if exactly the same formulas are valid inas in. (shrink)