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.

This paper presents an integralist approach to Jaina logic. This is built around an analysis of the pivotal notion of antarvyāpti in Jaina logic. It is shown in this connection why antarvyāpti needs to be considered the ‘Core Perspective/problem’ of Jaina logic. Next, it is shown how all the salient features of Jaina logic (as viewed from its language-oriented perspective and the epistemic perspective respectively) stand intimately related to the so-called core perspective. In the remaining sections of the paper topics (...) like relationship of the core perspective i) to various non-standard systems of logic [DL, FL, NMR etc.,], ii) to the four pillars and to the eight MPC’s of Jaina philosophy, iii) to some bluntly unimaginative ways of looking at Jaina logic [e.g., Ducko-Rabbitism], iv) to the scheme of classification of propositions in Jaina logic, v) to the resulting conceptual economies related to methodology, and especially to a unified theory of Hetvābhāsa and, finally, vi) to a re-assessment of Frege-Husserl discord in the light of the significance of Jñānātmakatā vs Vākyātmakatā in Jaina logic, etc., have been discussed. (shrink)

Foreward by Pramod K. Nayar -- Prologue -- Acknowledgments -- Introduction -- The dys-abled players of Samuel Beckett's Endgame -- The circumcised body of Franz Kafka's select letters -- 'Connoisseurship ... of disease' and Thomas Mann's Death in Venice -- 'Undiscovered countries' with Virginia Woolf's On being ill -- 'Connect nothing with nothing' in T.S. Eliot's The wasteland -- Epilogue -- Pathography -- Index.

Analysis of the use of the key term 'the people' shows that it has varied both semantically and syntactically along the time-line of the evolution of the CPC.

This article investigates whether acts of plagiarism are predictable. Through a deductive, quantitative method, this study examines 517 students and their motivation and intention to plagiarize. More specifically, this study uses an ethical theoretical framework called the Theory of Reasoned Action and Planned Behavior to proffer five hypotheses about cognitive, relational, and social processing relevant to ethical decision making. Data results indicate that although most respondents reported that plagiarism was wrong, students with strong intentions to plagiarize had a more positive (...) attitude toward plagiarizing, believed that it was important that family and friends think plagiarizing is acceptable, and perceived that plagiarizing would be an easy task. However, participants in the current study with less intention to plagiarize hold negative views about plagiarism, do not believe that plagiarism is acceptable to family, friends or peers, and perceive that the act of plagiarizing would prove difficult. Based on these findings, this study considers implications important for faculty, librarians, and student support staff in preventing plagiarism through collaborations and outreach programming. (shrink)

Hegel's treatment of the Sublime is both self-consistent and distinctive. He not only defines sublimity, but discovers and ranks its types or stages from one select point of view—the viewpoint of God-world relation; and the way he does this, on the one hand, distinguishes him from many others who have contributed to an understanding of the concept, and, on the other hand, enables him to suggest, if but implicitly, a criterion for distinguishing the sublime from allied concepts. Besides, he discusses (...) the matter in the wide context of diverse cultures, making quite a few insightful references to Eastern literature; and, consistently with his own conception of philosophy, also from the viewpoint of historical necessity, so that the sublime appears, in his Aesthetik, as a specific stage which the evolving story of art must in fact traverse. (shrink)

This essay seeks to clarify Gandhi's logic of self-suffering. Its inner accents have not received the attention they deserve. So I propose to emphasize them, though the context of such suffering and its impact on men too must be given due regard.

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)

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)

In verse twelve of the Tao Te Ching, Lao Tzu makes a curious claim about the five flavors; namely that they cause people not to taste or that they jade the palate. The five flavors are: sweet, sour, salt, bitter and spicy or hot as in 'heat'. To the Western mind, the claim, 'The five flavors cause them [persons] to not taste,' is counterintuitive; on the contrary, the presence of the five flavors in a dish or in a meal would (...) expand or enhance the senses and the palate, i.e., taste would be augmented by the five flavors. So what is the plausible meaning of the Taoistic claim? To answer this question, I look very briefly at the history of the doctrine of the five flavors and the history of Chinese cuisine. Lao Tzu probably has Confucian feasts in mind in making such a claim, but other interpretations are discussed. (shrink)

The notion of a harmonious universe was taught by Pythagoras as early as the sixth century BC, and remained a basic premise in Western philosophy, science, and art almost to our own day. In Touches of Sweet Harmony, S. K. Heninger first recounts the legendary life of Pythagoras, describes his school at Croton, and discusses the materials from which the Renaissance drew its information about Pythagorean doctrine. The second section of the book reconstructs the many facets of this doctrine, and (...) the final section shows its influence on Renaissance poetics. Professor Heninger's magisterial work introduces the reader not only to Pythagoras but to a host of other classical, medieval, and Renaissance figures as well--from Plato and Aristotle through St. Augustine and Macrobius down to Sidney and Spenser. (shrink)

Advances in life-saving technologies in the past few decades have challenged our traditional understandings of death. Traditionally, death was understood to occur when a person stops breathing, their heart stops beating and they are cold to the touch. Today, physicians determine death by relying on a diagnosis of ‘total brain failure’ or by waiting a short while after circulation stops. Evidence has emerged, however, that the conceptual bases for these approaches to determining death are fundamentally flawed and depart substantially from (...) the established biological conception of death. We argue that the current approach to determining death consists of two different types of unacknowledged legal fictions. These legal fictions were developed for practices that are largely ethically legitimate but need to be reconciled with the law. The considerable debate over the determination of death in the medical and scientific literature has not informed the public that vital organs are being procured from still-living donors and it seems unlikely that this information can remain hidden for long. Given the instability of the status quo and the difficulty of making the substantial legal changes required by complete transparency, we argue for a second-best policy solution: acknowledging the legal fictions involved in determining death to move in the direction of greater transparency. This may someday result in more substantial legal change to directly confront the challenges raised by life-sustaining and life-preserving technologies without the need for fictions. (shrink)

Recently David Best has advanced the claim that sport is not an art form, and that although sport may be aesthetic, it is not artistic. Such a claim is false and runs counter to ordinary usage and sport practice. On behalf of sport practice, let me cite as an example the world-class Canadian skater, Toller Cranston, who thinks there are such things as ‘artistic sports, those being gymnastics, diving, figure skating’. Best claims that athletes like Cranston are conceptually confused and (...) that they endow sport with greater respectability than should be allowed. Ascribing the predicate ‘artistic’ to sport performances reflects ‘barbarous usage’. Why does Best exclude the artistic from the realm of sport? Upon examination of his argument, one finds that this exclusion derives mainly from his concepts of art and sport. He thinks that art has a subject-matter, a content, and that sport does not. Sport is contentless, so ‘sport’ and ‘art’ are two logically distinct regions. But is this so? Are we to accept Best's argument or are we to listen to accomplished, reflective athletes in the area of artistic sports? It seems the most reasonable analytic procedure would be to listen to Cranston's case and decide whether such a piece of intentionalist criticism5 should override Best's premises. (shrink)