This book, first published in 1996, introduces students to optimization theory and its use in economics and allied disciplines. The first of its three parts examines the existence of solutions to optimization problems in Rn, and how these solutions may be identified. The second part explores how solutions to optimization problems change with changes in the underlying parameters, and the last part provides an extensive description of the fundamental principles of finite- and infinite-horizon dynamic programming. Each chapter contains a number (...) of detailed examples explaining both the theory and its applications for first-year master's and graduate students. 'Cookbook' procedures are accompanied by a discussion of when such methods are guaranteed to be successful, and, equally importantly, when they could fail. Each result in the main body of the text is also accompanied by a complete proof. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained. (shrink)

Treatise on the Advaita school in Hindu philosophy.

Papers presented at National Seminar on Jainism held in 1998 at Hyderabad?

Ernst Cassirer was the last of the major exponents of the Marburg School of Neo-Kantianism. This book presents his philosophy of science in the context of the developments in the physical sciences in this century. Cassirer's call for a redefinition of the «concept of substance» is critically evaluated in terms of the meanings of such terms as «laws,» «theories,» and «causality» as used in the sciences. By treating the sciences as one of the Symbolic Forms, this book establishes the relevancy (...) of the critical philosophy of Kant to an understanding of the recent history and philosophy of science. (shrink)

One of the anticipations of this Congress, namely, that of all the world's philosophical traditions address the 'problems of human life, civilization, and residence on earth,' cannot be accomplished by insisting upon the means and prescriptions of any one tradition. In this paper I address the theme of the Congress by considering the views of Johann Gottfried Herder and Hans-Georg Gadamer on education and history. In spite of attacks on his religious loyalties, Herder supported what may today be called pluralism. (...) Having studied history and having watched history in the making of one of its darkest moments, Gadamer also saw the future of the humanities in the global conversation. To educate humanity, I conclude, philosophy should first attempt to understand the existential conditions of human life. (shrink)

The paper considers Ernst' Cassirer's standpoint with reference to Euclidean geometry and the complementarity principle of quantum theory, interpreted as a choice between a causal description and a space — time description. The acceptance of the complementarity principle by Cassirer not only lands him off the Kantian path slightly, but it also leads him to some contradictions and incompatibilities within his own system of thought. 1. Accepting complementarity, Cassirer cannot still hold that there is an infinite hierarchy of objective levels (...) as he does towards the end of hisDeterminismus; and 2. accepting complementarity, Cassirer cannot still hold on to the observability principle of Leibniz. (shrink)

Die Arbeit betrachtet die verschiedenen Ansichten, die über wissenschaftliche Objektivität bestehen: Etwa als Charakteristik einer gesamtwissenschaftlichen Praxis, als Gesamtfortschritt, der durch die Struktur der Institution bestimmt ist, oder als etwas, was auf subjektivem Glauben, subjektivem Verfahren und kollektiven Meinungen begründet ist. Sie betrachtet die Objektivität der Wissenschaft auch in bezug auf den Sinn wissenschaftlicher Behauptungen und bezüglich des allgemeinen erkenntnistheoretischen Hintergrundes. Mit Blick auf einige neuere Thesen innerhalb der Quantenphysik und in der Sprache der Quantenphysik versucht die Arbeit herauszustellen, daß (...) die Praxis der tatsächlichen Wissenschaft über historische und logisch-methodologische Rechenschaftsablegung hinausgeht, um ihre Glaubwürdigkeit in einer kontinuierlich sich erweiternden Erfahrung unter Beweis zu stellen. Wissenschaft als ein systematisches öffentliches Unternehmen, dessen Zweck es ist, Behauptungen über die Natur zu formulieren, erreicht dies durch einen Bedeutungswandel von Objektivität und indem sie neue "Sprachen" übernimmt, die durch solchen Wandel erfordert werden. (shrink)

BackgroundIn the Canadian Alliance for Healthy Hearts and Minds (CAHHM) cohort, participants underwent magnetic resonance imaging (MRI) of the brain, heart, and abdomen, that generated incidental findings (IFs). The approach to managing these unexpected results remain a complex issue. Our objectives were to describe the CAHHM policy for the management of IFs, to understand the impact of disclosing IFs to healthy research participants, and to reflect on the ethical obligations of researchers in future MRI studies.MethodsBetween 2013 and 2019, 8252 participants (...) (mean age 58 ± 9 years, 54% women) were recruited with a follow-up questionnaire administered to 909 participants (40% response rate) at 1-year. The CAHHM policy followed a restricted approach, whereby routine feedback on IFs was not provided. Only IFs of severe structural abnormalities were reported.ResultsSevere structural abnormalities occurred in 8.3% (95% confidence interval 7.7–8.9%) of participants, with the highest proportions found in the brain (4.2%) and abdomen (3.1%). The majority of participants (97%) informed of an IF reported no change in quality of life, with 3% of participants reporting that the knowledge of an IF negatively impacted their quality of life. Furthermore, 50% reported increased stress in learning about an IF, and in 95%, the discovery of an IF did not adversely impact his/her life insurance policy. Most participants (90%) would enrol in the study again and perceived the MRI scan to be beneficial, regardless of whether they were informed of IFs. While the implications of a restricted approach to IF management was perceived to be mostly positive, a degree of diagnostic misconception was present amongst participants, indicating the importance of a more thorough consent process to support participant autonomy.ConclusionThe management of IFs from research MRI scans remain a challenging issue, as participants may experience stress and a reduced quality of life when IFs are disclosed. The restricted approach to IF management in CAHHM demonstrated a fair fulfillment of the overarching ethical principles of respect for autonomy, concern for wellbeing, and justice. The approach outlined in the CAHHM policy may serve as a framework for future research studies.Clinical trial registrationhttps://clinicaltrials.gov/ct2/show/nct02220582. (shrink)

A large number of cross-references to various bodies of text are used in legal texts, each serving a different purpose. It is often necessary for authorities and companies to look into certain types of these citations. Yet, there is a lack of automatic tools to aid in this process. Recently, citation graphs have been used to improve the intelligibility of complex rule frameworks. We propose an algorithm that builds the citation graph from a document and automatically labels each edge according (...) to its purpose. Our method uses the citing text only and thus works only on citations who’s purpose can be uniquely identified by their surrounding text. This framework is then applied to the US code. This paper includes defining and evaluating a standard gold set of labels that cover a vast majority of citation types which appear in the “US Code” but are still short enough for practical use. We also proposed a novel linear-chain conditional random field model that extracts the features required for labeling the citations from the surrounding text. We then analyzed the effectiveness of different clustering methods such as K-means and support vector machine to automatically label each citation with the corresponding label. Besides this, we talk about the practical difficulties of this task and give a comparison of human accuracy compared to our end-to-end algorithm. (shrink)

* Hatha yoga is commonly thought to be a pure, ancient Indian spiritual discipline that transcends cultural, temporal and spatial boundaries or a spiritual discipline corrupted by Indians (for export) or Westerners (for import) to accommodate Westerners. Calling these beliefs into question, Max Popov's Radiant Bodies shows how hatha yoga was transformed from sacred practice into a health and fitness regime for middle-class Indians in India in the early and mid-20th century. Popov tells the story of this transformation through the (...) lives and accomplishments of eleven key figures: six Indian yogis (Shri Yogendra, Swami Kuvalayananda, S. Sundaram, T. Krishnamacharya, Swami Sivananda and B. K. S. Iyengar), an Indian bodybuilder (K. V. Iyer), a rajah (Bhavanarao Shrinivasrao), an Indian diplomat (Apa Pant), an American-born English journalist (Louise Morgan), and a Russian-born yogi trained in India (Indra Devi).Their accomplishments are placed within the context of such Western trends as the physical culture movement, the commodification of exercise, militant nationalism, post-World War I anxiety, the mystique of science, jazz age popular entertainment, and the quest for youth and beauty. Through a series of biographical narratives placed in a rich cultural context, Popov not only brings to life the formation of modern hatha yoga as an exercise system in the early 20th century but also its transformation over the course of the 20th century into an embodied spiritual practice. Popov draws on extensive research from rare primary sources to present a cutting edge interpretation of the history of modern hatha yoga. Radiant Bodies is a thoughtful book for the educated general reader that would also be of special interest for religion scholars and yoga professionals and practitioners. (shrink)

A recursive enumerator for a function h is an algorithm f which enumerates for an input x finitely many elements including h(x), f is a k(n)-enumerator if for every input x of length n, h(x) is among the first k(n) elements enumerated by f. If there is a k(n)-enumerator for h then h is called k(n)-enumerable. We also consider enumerators which are only A-recursive for some oracle A. We determine exactly how hard it is to enumerate the Kolmogorov function, which (...) assigns to each string x its Kolmogorov complexity: • For every underlying universal machine U, there is a constant a such that C is k(n)-enumerable only if k(n) ≥ n/a for almost all n. • For any given constant k, the Kolmogorov function is k-enumerable relative to an oracle A if and only if A is at least as hard as the halting problem. • There exists an r.e., Turing-incomplete set A such for every non-decreasing and unbounded recursive function k, the Kolmogorov function is k(n)-enumerable relative to A. The last result is obtained by using a relativizable construction for a nonrecursive set A relative to which the prefix-free Kolmogorov complexity differs only by a constant from the unrelativized prefix-free Kolmogorov complexity. Although every 2-enumerator for C is Turing hard for K, we show that reductions must depend on the specific choice of the 2-enumerator and there is no bound on the quantity of their queries. We show our negative results even for strong 2-enumerators as an oracle where the querying machine for any x gets directly an explicit list of all hypotheses of the enumerator for this input. The limitations are very general and we show them for any recursively bounded function g: • For every Turing reduction M and every non-recursive set B, there is a strong 2-enumerator f for g such that M does not Turing reduce B to f. • For every non-recursive set B, there is a strong 2-enumerator f for g such that B is not wtt-reducible to f. Furthermore, we deal with the resource-bounded case and give characterizations for the class ${\rm S}_{2}^{{\rm P}}$ introduced by Canetti and independently Russell and Sundaram and the classes PSPACE, EXP. • ${\rm S}_{2}^{{\rm P}}$ is the class of all sets A for which there is a polynomially bounded function g such that there is a polynomial time tt-reduction which reduces A to every strong 2-enumerator for g. • PSPACE is the class of all sets A for which there is a polynomially bounded function g such that there is a polynomial time Turing reduction which reduces A to every strong 2-enumerator for g. Interestingly, g can be taken to be the Kolmogorov function for the conditional space bounded Kolmogorov complexity. • EXP is the class of all sets A for which there is a polynomially bounded function g and a machine M which witnesses A ∈ PSPACEf for all strong 2-enumerators f for g. Finally, we show that any strong O(log n)-enumerator for the conditional space bounded Kolmogorov function must be PSPACE-hard if P = NP. (shrink)

This book is the first complete survey and critical appraisal of the large body of research that has appeared during approximately the last decade concerning the analysis of knowing. Robert K. Shope pays special attention to the social aspects of knowing and proposes a new formulation of the fundamental structure of the Gettier problem. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University (...) Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

This essay explores the aspects of the Aristotelian psuchē that accounts for its contemporary appeal. The poverty of the notion of the mind is discussed. The superiority of the psuchē over the mind is emphasized.

Provider claims to conscientious objection have generated a great deal of heated debate in recent years. However, the conflicts that arise when providers make claims to the "conscience" are only a subset of the more fundamental challenges that arise in health care practice when patients and providers come into conflict. In this piece, the author provides an account of patient-provider conflict from within the moral tradition of St. Thomas Aquinas. He argues that the practice of health care providers should be (...) understood as a form of practical reasoning and that this practical reasoning must necessarily incorporate both "moral" and "professional" commitments. In order to understand how the practical reasoning of provider should account for the needs and commitments of the patient and vice versa, he explores the account of dependence provided by Alasdair MacIntyre in his book Dependent Rational Animals. MacIntyre argues that St. Thomas’ account of practical reasoning should be extended and adapted to account for the embodied vulnerability of all humans. In light of this insight, providers must view patients not only as the subjects of their moral reflection but also as fellow humans upon whom the provider depends for feedback on the effectiveness and relevance of her practical reasoning. The author argues that this account precludes responsive providers from adopting either moral or professional conclusions on the appropriateness of interventions outside the individual circumstances that arise in particular situations. The adoption of this orientation toward patients will neither eradicate provider-patient conflict nor compel providers to perform interventions to which they object. But this account does require that providers attend meaningfully to the suffering of patients and seek feedback on whether their intervention has effectively addressed that suffering. (shrink)

© 2016 RCNi Ltd. All rights reserved. Background Conceptual frameworks are important to ensure a clear underpinning research philosophy. Further, the use of conceptual frameworks can support structured research processes. Aim To present a partnership model for a reflective narrative for researcher and participant. Discussion This paper positions the underpinning philosophical framework of the model in social constructionism and narrative enquiry. The model has five stages - study design, invitation to share a research space and partnership, a metaphorical research space, (...) building a community story, and reading the community story to others. Core principles of the partnership model are continual reflection by the researcher, potential reflections by participants, reciprocal sharing, and partnership in research. Conclusion A 'trajectory of self' for both participants and researchers can be enhanced within reflective partnerships. Implications for practice This model can be applied to studies that use narrative enquiry and are seeking a humanistic approach with participant engagement. (shrink)

Bipolar affective disorder (BPAD) can be a devastating disorder for both sufferers and their relatives. In addition to the variety of distressing and severe affective symptoms, the consequences of illness onset may be equally debilitating, particularly as the illness may commonly present in early adulthood. As such, the developmental trajectory between late adolescence and early adulthood is commonly interrupted. Relationships with family, friends and partners may deteriorate, employment or studies may be interrupted, and criminal histories may be acquired. In turn, (...) such events worsen stress, reduce self-esteem, and may make the recovery process more difficult.... (shrink)

Considerable attention has been paid in recent years to Catullus 63. A number of salient features have been discussed: the psychological study of emotions; the use of animal imagery; the theme of marriage and love. There have also been some helpful studies on smaller, though important, aspects of the poem such as its use of ring composition or Catullus′ inventive treatment of the challenging Galliambic metre. But little work has been done on the literary background of poem 63 apart from (...) the question of whether or not Catullus was following an Alexandrian model. I shall suggest that the basic narrative of the poem, and the way in which Catullus has handled it, have literary antecedents which have influenced the poet. The final product, however, still remains a very original piece of work. (shrink)

Considerable attention has been paid in recent years to Catullus 63. A number of salient features have been discussed: the psychological study of emotions; the use of animal imagery; the theme of marriage and love. There have also been some helpful studies on smaller, though important, aspects of the poem such as its use of ring composition or Catullus′ inventive treatment of the challenging Galliambic metre. But little work has been done on the literary background of poem 63 apart from (...) the question of whether or not Catullus was following an Alexandrian model. I shall suggest that the basic narrative of the poem, and the way in which Catullus has handled it, have literary antecedents which have influenced the poet. The final product, however, still remains a very original piece of work. (shrink)

Most commentators apply the phrase ‘vitans onus…iugi’ not only to the heifer but to Attis himself. When they ask what iugum Attis is avoiding, the immediate context provides no obvious answer. They are therefore compelled to interpret the iugum either in the light of a much earlier passage or in the light of a much later one. Neither procedure is satisfactory. On the other hand, at least one editor has proposed that the phrase ‘vitans onus…iugi’ does not apply to Attis (...) himself but to the heifer alone. The comparison between Attis and the heifer then lies only in their frenzied speed; the yoke-avoiding action is external to the comparison and merely heightens the picture of the charging heifer. The obvious difficulty with this view is that the concept of a yoke, and more generally of avoiding servitude, plays an important role relevant to Attis later on in the poem. From line 50 onwards Attis sees himself as an erifuga anxious to escape from slavery to Cybele. And the account of Cybele's lion, sent to round him up, twice refers to the notion of freeing from a yoke . Both these traditional approaches concentrate on the literal meaning of the phrase vitans onus…iugi: they assume that the yoke itself is important and that it either does or does not make sense when applied to Attis. But if we focus instead upon the action which the whole phrase vitans onus…iugi suggests, then the description of the heifer has an apt application to Attis within its own immediate context. (shrink)

Most commentators apply the phrase ‘vitans onus…iugi’ not only to the heifer but to Attis himself. When they ask what iugum Attis is avoiding, the immediate context provides no obvious answer. They are therefore compelled to interpret the iugum either in the light of a much earlier passage or in the light of a much later one. Neither procedure is satisfactory. On the other hand, at least one editor has proposed that the phrase ‘vitans onus…iugi’ does not apply to Attis (...) himself but to the heifer alone. The comparison between Attis and the heifer then lies only in their frenzied speed; the yoke-avoiding action is external to the comparison and merely heightens the picture of the charging heifer. The obvious difficulty with this view is that the concept of a yoke, and more generally of avoiding servitude, plays an important role relevant to Attis later on in the poem. From line 50 onwards Attis sees himself as an erifuga anxious to escape from slavery to Cybele. And the account of Cybele's lion, sent to round him up, twice refers to the notion of freeing from a yoke. Both these traditional approaches concentrate on the literal meaning of the phrase vitans onus…iugi: they assume that the yoke itself is important and that it either does or does not make sense when applied to Attis. But if we focus instead upon the action which the whole phrase vitans onus…iugi suggests, then the description of the heifer has an apt application to Attis within its own immediate context. (shrink)