Two algebraic structures, the contrapositionally complemented Heyting algebra (ccHa) and the contrapositionally |$\vee $| complemented Heyting algebra (c|$\vee $|cHa), are studied. The salient feature of these algebras is that there are two negations, one intuitionistic and another minimal in nature, along with a condition connecting the two operators. Properties of these algebras are discussed, examples are given and comparisons are made with relevant algebras. Intuitionistic Logic with Minimal Negation (ILM) corresponding to ccHas and its extension |${\textrm {ILM}}$|-|${\vee }$| for c|$\vee (...) $|cHas are then investigated. Besides its relations with intuitionistic and minimal logics, ILM is observed to be related to Peirce’s logic and Vakarelov’s logic MIN. With a focus on properties of the two negations, relational semantics for ILM and |${\textrm {ILM}}$|-|${\vee }$| are obtained with respect to four classes of frames, and inter-translations between the classes preserving truth and validity are provided. ILM and |${\textrm {ILM}}$|-|${\vee }$| are shown to have the finite model property with respect to these classes of frames and proved to be decidable. Extracting features of the two negations in the algebras, a further investigation is made, following logical studies of negations that define the operators independently of the binary operator of implication. Using Dunn’s logical framework for the purpose, two logics |$K_{im}$| and |$K_{im-{\vee }}$| are discussed, where the language does not include implication. The |$K_{im}$|-algebras are reducts of ccHas and are different from relevant algebraic structures having two negations. The negations in the |$K_{im}$|-algebras and |$K_{im-{\vee }}$|-algebras are shown to occupy distinct positions in an enhanced form of Dunn’s kite of negations. Relational semantics for |$K_{im}$| and |$K_{im-{\vee }}$| is provided by a class of frames that are based on Dunn’s compatibility frames. It is observed that this class coincides with one of the four classes giving the relational semantics for ILM and |${\textrm {ILM}}$|-|${\vee }$|⁠. (shrink)

In A. Kumar, & M. Banerjee [(2012). Definable and rough sets in covering-based approximation spaces. In T. Li. (eds.), Rough sets and knowledge technology (pp. 488–495). Springer-Verlag], A. Kumar, & M. Banerjee [(2015). Algebras of definable and rough sets in quasi order-based approximation spaces. Fundamenta Informaticae, 141(1), 37–55], authors proposed a pair of lower and upper approximation operators based on granules generated by quasiorders. This work is an extension of algebraic results presented therein. A characterisation has (...) been presented for those quasiorder-generated covering-based approximation spaces whose corresponding collections of definable and rough sets form Stone algebras. The notion of rough lattice was proposed in A. Kumar, & M. Banerjee [(2015). Algebras of definable and rough sets in quasi order-based approximation spaces. Fundamenta Informaticae, 141(1), 37–55], A. Kumar [(2020). A Study of Algebras and Logics of Rough Sets Based on Classical and Generalized Approximation Spaces. In Transactions on Rough Sets XXII, LNCS (Vol. 12485, pp. 123–251). Springer]. Some special rough lattices are introduced in this work, viz. rough Stone algebra, ∼1-complemented and ∼2-complemented rough lattices. Representations of these algebras in terms of rough sets are obtained. Moreover, logics for these algebras are shown to be sound and complete with respect to rough set semantics. (shrink)

would suspect him of murdering them and would not spare him. So he too killed himself. Gods were very much disturbed by this sad incident and realized the ...

A structural theorem for Kleene algebras is proved, showing that an element of a Kleene algebra can be looked upon as an ordered pair of sets, and that negation with the Kleene property is describable by the set-theoretic complement. The propositional logic \ of Kleene algebras is shown to be sound and complete with respect to a 3-valued and a rough set semantics. It is also established that Kleene negation can be considered as a modal operator, due to a perp (...) semantics of \. Moreover, another representation of Kleene algebras is obtained in the class of complex algebras of compatibility frames. One concludes with the observation that \ can be imparted semantics from different perspectives. (shrink)

Rough Sets were introduced by Z. Pawlak in the year 1982 with the intention to address knowledge representation and data processing from the angle of computation and decision making. The main idea...

Of the various forms of life writing with which the present collection is concerned, I want in this chapter to devote my attention to the genre of the memoir (and so the autobiographical), and its relation to the seemingly sharply contrasting literary genre of the novel (insofar as the former is understood as a mode of writing concerned with the recounting of the facts or reality of a particular human life, and the latter is understood as concerned only with the (...) appearance of such lives, with the essentially unreal or fictional). Of course, the recent interest in what is termed ‘autofiction’ has served to raise once again the question of the distinction between the memoir and the novel; but rather than engage with that discussion, I want here to focus instead on a particular author’s explicit critical response to that distinction, insofar as it has persistently marked the reception of his work. -/- In a recent lecture, the acclaimed novelist Amit Chaudhuri replied to an accusation that has greeted his fiction from the start of his literary career: that since his novels contain people and events drawn from his own life, they are better thought of as thinly disguised memoirs—as not really novels at all. To examine this charge, I want to draw on an account by the philosopher Stephen Mulhall of the work of another celebrated novelist—J.M. Coetzee (more specifically, that work which features the character Elizabeth Costello). In particular, I want to establish the pertinence to Chaudhuri’s lecture of Mulhall’s analogy between aspects of that work and the work of the influential art historian and critic Michael Fried on the history of modernist painting. In so doing, I aim to show that the commitment to the projects of literary modernism and realism which Mulhall finds in Coetzee (and Costello), can also be found in Chaudhuri’s understanding of the sense in which his novels both are, and are not, autobiographical. (shrink)

Objective: To explore the relationship between the presentation of suffering and support for euthanasia in the British news media.Method: Data was retrieved by searching the British newspaper database LexisNexis from 1996 to 2000. Twenty-nine articles covering three cases of family assisted suicide were found. Presentations of suffering were analysed employing Heidegger’s distinction between technological ordering and poetic revealing.Findings: With few exceptions, the press constructed the complex terrain of FAS as an orderly or orderable performance. This was enabled by containing the (...) contradictions of FAS through a number of journalistic strategies: treating degenerative dying as an aberrant condition, smoothing over botched attempts, locating the object of ethical evaluation in persons, not contexts, abbreviating the decision making process, constructing community consensus and marginalising opposing views.Conclusion: The findings of this study support the view that news reporting of FAS is not neutral or inconsequential. In particular, those reports presenting FAS as an orderly, rational performance were biased in favor of technical solutions by way of the legalisation of euthanasia and/or the involvement of medical professionals. In contrast, while news reports sensitive to contradiction did not necessarily oppose euthanasia, they were less inclined to overtly support technical solutions, recognising the importance of a trial to address the complexity of FAS. (shrink)

Trypanosoma brucei is the causal agent of African Trypanosomiasis in humans and other animals. It maintains a long‐term infection through an antigenic variation based population survival strategy. To proliferate in a mammal, T. brucei acquires iron and haem through the receptor mediated uptake of host transferrin and haptoglobin‐hemoglobin respectively. The receptors are exposed to host antibodies but this does not lead to clearance of the infection. Here we discuss how the trypanosome avoids this fate in the context of recent findings (...) on the structure and cell biology of the receptors. (shrink)

Anthology of articles on the integral philosophy of Sri Aurobindo Ghose, 1872-1950, modern Indian philosopher.

Most observers agree that modern physical theory attempts to provide objective representations of reality. However, the claim that these representations are based on conventional choices is viewed by many as a denial of their objectivity. As a result, objectivity and conventionality in representation are often framed as polar opposites. Offering a new appraisal of symmetry in modern physics, employing detailed case studies from relativity theory and quantum mechanics, Objectivity, Invariance, and Convention contends that the physical sciences, though dependent on convention, (...) may produce objective representations of reality. Talal Debs and Michael Redhead show that both realists and constructivists have recognized important elements of an understanding of science that may not be contradictory. The position--"perspectival invariantism"-- introduced in this book highlights the shortcomings of existing approaches to symmetry in physics, and, for the constructivist, demonstrates that a dependence on conventions in representation reaches into the domain of the most technical sciences. For the realist, it stands as evidence against the claim that conventionality must undermine objectivity. We can be committed to the existence of a single real ontology while maintaining a cultural view of science. (shrink)

Humans are moral creatures. Among all life on Earth, we alone experience rich moral emotions, follow complex rules governing how we treat one another, and engage in moral dialogue. But how did human morality evolve? And can humans become morally evolved? -/- In A Better Ape, Victor Kumar and Richmond Campbell draw on the latest research in the biological and social sciences to explain the key role that morality has played in human evolution. They explore the moral traits that (...) humans share with chimpanzees; how a more complex moral mind enabled Homo sapiens to arise and out-compete other human species; and the place of morality alongside historic revolutions in technology and social organization. Throughout the book, Kumar and Campbell argue that morality co-evolved with intelligence and complex sociality. Morality prevents societal collapse and enables complex knowledge. -/- After unearthing the ancient origins of human morality, Kumar and Campbell use evolutionary theory to deliver profound insights about how to advance moral progress and resist moral regress, such as reducing animal suffering on industrial farms; capitalizing on the recent revolution in gay rights to foster a nascent revolution in transgender rights; opposing intersectional inequality that impacts women and people of color in lower socioeconomic classes; and addressing major problems of global inequality, especially impending crises of injustice caused by anthropogenic climate change. Understanding how we evolved--and how we continue to evolve--can help us become a better ape. (shrink)

This paper presents an implemented computational model of word acquisition which learns directly from raw multimodal sensory input. Set in an information theoretic framework, the model acquires a lexicon by finding and statistically modeling consistent cross‐modal structure. The model has been implemented in a system using novel speech processing, computer vision, and machine learning algorithms. In evaluations the model successfully performed speech segmentation, word discovery and visual categorization from spontaneous infant‐directed speech paired with video images of single objects. These results (...) demonstrate the possibility of using state‐of‐the‐art techniques from sensory pattern recognition and machine learning to implement cognitive models which can process raw sensor data without the need for human transcription or labeling. (shrink)

The reluctant revolutionary -- The patent slave -- The golden Dane -- The quantum atom -- When Einstein met Bohr -- The prince of duality -- Spin doctors -- The quantum magician -- A late erotic outburst -- Uncertainty in Copenhagen -- Solvay 1927 -- Einstein forgets relativity -- Quantum reality -- For whom Bell's theorem tolls -- The quantum demon.

The Unified Medical Language System and the Gene Ontology are among the most widely used terminology resources in the biomedical domain. However, when we evaluate them in the light of simple principles for wellconstructed ontologies we find a number of characteristic inadequacies. Employing the theory of granular partitions, a new approach to the understanding of ontologies and of the relationships ontologies bear to instances in reality, we provide an application of this theory in relation to an example drawn from the (...) context of the pathophysiology of hypertension. This exercise is designed to demonstrate how, by taking ontological principles into account we can create more realistic biomedical ontologies which will also bring advantages in terms of efficiency and robustness of associated software applications. (shrink)

Through a philosophical engagement with “Arju” (communal dormitories for children/adolescents among the Ao tribe, India), we develop a distinct conceptualization of it as “caring space, in-between”. In its various ontological, epistemological, and ethical dimensions, Arju becomes a space for mothering of Ao children and of caring for the tribe at large. It provides a basis for developing a notion of “caring space” within a philosophy of care. Finally, while theorizing its “in-between” character, we argue that Arju resists mapping onto dominant (...) Western spatial binaries such as private/public, home/world, etc. This essay is not only an articulation of a non-dominant group’s philosophy of “mothering” and “care”, but also aims to create an alternative theoretical space from which to engage with the dominantly Western feminist philosophies of care. (shrink)

This book delves deep into the Social Construction of Theory, comparative epistemology and intellectual history to stress the interrelationship between diverse cultures during the colonial period and bring forth convincing evidence of how the 19th century was shaped. It approaches an interesting relation between the linguistic studies of 19th century’s scientific world and subsequent widespread acceptance of the empirically weak theory of the Aryan invasion. To show entangled history in a globalized world, the book draws on the Aryan Invasion Theory (...) to highlight how different socio-religious parties commonly shape a new theory. It also explores how research is affected by the so-called social construction of theory and comparative epistemology, and deals with scholarly advancement and its relation with contemporary socio-political demands. The most significant conclusion of the book is that academic studies are prone to comparative epistemology, even under the strict scrutiny of the so-called scientific methods. (shrink)

Hegemony and Education explores how the educational insights implicit in Antonio Gramsci's historical materialist outlook have been reconciled to the post-Marxist theory of 'radical democracy.' The author argues that there is an urgent need to redefine the dynamics of hegemony as a theory centering on the problem of cognitive and moral submissiveness; that is, a problem indicative of the pathologies of capitalism with respect to democratic theorizing.

Hegemony and Education explores how the educational insights implicit in Antonio Gramsci's historical materialist outlook have been reconciled to the post-Marxist theory of "radical democracy." The author argues that there is an urgent need to redefine the dynamics of hegemony as a theory centering on the problem of cognitive and moral submissiveness; that is, a problem indicative of the pathologies of capitalism with respect to democratic theorizing.

Acquiring expertise in a task is often thought of as an automatic process that follows inevitably with practice according to the log‐log law (aka: power law) of learning. However, as Ericsson, Chase, and Faloon (1980) showed, this is not true for digit‐span experts and, as we show, it is certainly not true for Tetris players at any level of expertise. Although some people may simply “twitch” faster than others, the limit to Tetris expertise is not raw keypress time but the (...) techniques acquired by players that allow them to use the tools provided by the hardware and software to compensate for the game's relentlessly increasing drop speed. Unfortunately, these increases in drop speed between Tetris levels make performance plateaus very short and quickly followed by game death. Hence, a player's success at discovering, exploring, and practicing new techniques for the tasks of board preparation, board maintenance, optimal placement discovery, zoid rotation, lateral movement of zoids, and other tasks important to expertise in Tetris is limited. In this paper, we analyze data collected from 492 Tetris players to reveal the challenges they confronted while constructing expertise via the discovery of new techniques for gameplay at increasingly difficult levels of Tetris. (shrink)

Interpretations of the ethical significance of the Bhagavadgītā typically understand the debate between Arjuna and Kṛṣṇa in terms of a struggle between consequentialist and deontological doctrines. In this paper, I provide instead a reading of the Gītā which draws on a conception of moral thinking that can be understood to cut across those positions – that developed by Stanley Cavell, which he calls ‘Emersonian Moral Perfectionism’. In so doing, I emphasise how Kṛṣṇa’s consolation of Arjuna can centrally and fruitfully be (...) viewed as concerned with resuscitating the latter’s individuality, thereby allowing Arjuna to overcome an unthinking conformity to the current degenerate state of his society. This leads me to explore the relation between this perfectionist understanding of spiritual reorientation and the Gītā’s religious account of human redemption; and to conclude by suggesting how the text of the Gītā itself might have similar therapeutic designs upon its readers. (shrink)

This chapter contains sections titled: Introduction Historical‐Dialectical Thought in Hegel and Marx Marx's Onto‐formative View of Human Nature Capitalism As a Counter‐ontological, Fetishizing Force Gramsci's Historical and Dialectical Campaign against Capitalism Conclusion Notes References.

It is widely understood that protein functions can be exhaustively described in terms of no single parameter, whether this be amino acid sequence or the three-dimensional structure of the underlying protein molecule. This means that a number of different attributes must be used to create an ontology of protein functions. Certainly much of the required information is already stored in databases such as Swiss-Prot, Protein Data Bank, SCOP and MIPS. But the latter have been developed for different purposes and the (...) separate data-structures which they employ are not conducive to the needed data integration. When we attempt to classify the entities in the domain of proteins, we find ourselves faced with a number of cross-cutting principles of classification. Our question here is: how can we bring together these separate taxonomies in order to describe protein functions? Our proposed answer is: via a careful top-level ontological analysis of the relevant principles of classification, combined with a new framework for the simultaneous manipulation of classifications constructed for different purposes. (shrink)

What did science make possible for colonial rule? How was science in turn marked by the knowledge and practices of those under colonial rule? Here I approach these questions via the social history of Madras Observatory. Constructed in 1791 by the East India Company, the observatory was to provide local time to mariners and served as a clearinghouse for the company’s survey and revenue administration. The astronomical work of Madras’ Brahmin assistants relied upon their knowledge of jyotiśāstra [Sanskrit astronomy/astrology], and (...) can be seen as a specialized form of the kind of South Indian scribal labor and knowledge that also staffed the company’s tax offices. If at Greenwich the division of labor meant observatory work bore resemblances to the factory and the accounts office, in Madras, astronomy and accounting drew on similar labor forms because they were part of the same enterprise. But the company did not just adapt preexisting forms of labor, it also attempted to produce its own at a school built near the observatory to train “half-caste” orphans as apprentice surveyors and assistant computers. The school, staffed by the Brahmins, drew upon knowledge and pedagogical practice associated with the tinnai, the schools in which upper-caste children learned to read, write, and calculate. For a time, the observatory’s social order was literally “half-caste.” The paper also considers how the relationship between caste, status, and instrument was reflected in the visual and material culture of the observatory, such as in Indian-language inscriptions on its central pillar. For company astronomers, the measurement of time meant reworking the relationships among the Indian past, the colonial present, and an imperial posterity. Science under colonial rule spanned multiple temporal and social registers because it was the result of negotiations between the demands of political economy and the knowledge and practices of colonized others. (shrink)

A hypertext learner navigates with a instinctive feeling for a knowledge. The learner does not know her queries, although she has a feeling for them. A learner’s navigation appears as complete upon the emergence of an aesthetic pleasure, called rasa. The order of arrival or the associational logic and even the temporal order are not relevant to this emergence. The completeness of aesthetics is important. The learner does not look for the intention of the writer, neither does she look for (...) significance. Lexia has a suggestive power and she is suggested in the arrival of aesthetics. Hypertext learning does not depend on communication. The learner in her pleasure transgresses the bounds of space-time to be in communion with several writers/learners. Hypertext learning does not appear to be fundamentally different from the analog learning; however, in performance, as in navigation, the learner assumes a mental state that helps her in her emergence into aesthetic bliss, of an arrival to the completed lexial navigation. This completeness is owing to aesthetics and is not owing to either the semantics or the query-fulfilling qualities. (shrink)

Contemporary democracy has given primacy to thought. Building up institutions on thought and reasoned discourse excludes out human actions derived not from thought that one thinks. Ordinary life is visited by emotion and passion. Such actions of unknown origin are captured best in the drama. Indian theory and practice of drama and the poetics offer communion between the performer and the viewer. Blissful relish of the actions and the dialogues lift up the banal actions from the ordinary to a state (...) beyond simple event. Relishing thus resides in cognition. Drama in theory and in its practice thus offers foundation to institutions that could embrace independent actions as well. In relish there is cognition and reasoning alone cannot lay claim. Folk life and folk actions thus could be emancipatory. (shrink)

This paper addresses questions of women’s autonomy in India and analyses its location within the legal discourse. The women’s movement has primarily tried to analyse questions of women’s autonomy through exploring women’s position in law. Among other indicators, women’s position in society is often analysed through marriage, divorce and property acts. This paper analyses the evolution of these acts and critiques whether they have led to women’s autonomy or merely subsumed questions of autonomy resulting in further marginalization of women in (...) the polity. The paper begins with the assumption that locations matter and that laws affect different women differently, particularly in the context of India where civil law is constantly pitted against personal and customary law. To understand the situation of women in India, therefore, an understanding of the evolution of laws seems necessary, because laws are considered to be primary markers of autonomy. (shrink)