In this paper, we use algebra-valued models to study cardinal numbers in a class of non-classical set theories. The algebra-valued models of these non-classical set theories validate the Axiom of Choice, if the ground model validates it. Though the models are non-classical, the foundations of cardinal numbers in these models are similar to those in classical set theory. For example, we show that mathematical induction, Cantor’s theorem, and the Schröder–Bernstein theorem hold in these models. We also study a few basic (...) properties of cardinal arithmetic. In addition, the generalized continuum hypothesis is proved to be independent of these non-classical set theories. (shrink)

In this paper we extend to non-classical set theories the standard strategy of proving independence using Boolean-valued models. This extension is provided by means of a new technique that, combining algebras (by taking their product), is able to provide product-algebra-valued models of set theories. In this paper we also provide applications of this new technique by showing that: (1) we can import the classical independence results to non-classical set theory (as an example we prove the independence of $\mathsf {CH}$ ); (...) and (2) we can provide new independence results. We end by discussing the role of non-classical algebra-valued models for the debate between universists and multiversists and by arguing that non-classical models should be included as legitimate members of the multiverse. (shrink)

Corporate governance involves balancing the interests of the many stakeholders in a corporation—from shareholders and management to customers and the larger society. Corporate governance also offers the framework for attaining a company’s vision and mission, providing guidance and oversight on a broad spectrum—action plans and internal controls to performance measurement and corporate disclosure. Companies’ Act 2013 has been introduced in India with the primary objective of improving corporate governance practices in Indian corporations. In this paper, we investigate the moderating role (...) of corporate governance practices in large Indian corporations on firm performance, post introduction of Companies’ Act 2013. Specifically, we study the influence of board’s involvement in company’s affairs, board’s diversity, CEO duality, board compensation, and promoters’ involvement in the board. We find sufficient evidence that board involvement and board diversity positively influence firm performance, while CEO duality, board compensation, and promoters’ presence do not have an influence on firm performance. (shrink)

We present a generalization of the algebra-valued models of \ where the axioms of set theory are not necessarily mapped to the top element of an algebra, but may get intermediate values, in a set of designated values. Under this generalization there are many algebras which are neither Boolean, nor Heyting, but that still validate \.

Following Jacques Derrida’s reflections on witnessing and testimony, this article proposes a discontinuous economy between human witnessing and the nonhuman framing of any such instituted work...

We generalize the construction of lattice-valued models of set theory due to Takeuti, Titani, Kozawa and Ozawa to a wider class of algebras and show that this yields a model of a paraconsistent logic that validates all axioms of the negation-free fragment of Zermelo-Fraenkel set theory.

In this paper, we analyze and discuss Schopenhauer’s n-term diagrams for eristic dialectics from a graph-theoretical perspective. Unlike logic, eristic dialectics does not examine the validity of an isolated argument, but the progression and persuasiveness of an argument in the context of a dialogue or even controversy. To represent these dialogue situations, Schopenhauer created large maps with concepts and Euler-type diagrams, which from today’s perspective are a specific form of graphs. We first present the original method with Euler-type diagrams, then (...) give the most important graph-theoretical definitions, then discuss Schopenhauer’s diagrams graph-theoretically and finally give an example of how the graphs or diagrams can be used to analyze dialogues. (shrink)

In this paper, we argue for an instrumental form of existence, inspired by Hilbert’s method of ideal elements. As a case study, we consider the existence of contradictory objects in models of non-classical set theories. Based on this discussion, we argue for a very liberal notion of existence in mathematics.

This book focuses on moral and political education and critically engages with educational issues from a philosophical perspective. It engages with questions of moral education as well as questions about citizenship education, to address apprehensions on learning in a liberal democracy while parallelly invoking issues from within the curriculum, the school environment and teacher-student relationship. With contributions from renowned philosophers and educationists, this volume discusses themes like civic education and liberal democracy; toleration and freedom; Tagore's conception of the moral and (...) political self; key issues in moral education; cosmopolitanism, compassion, care ethics and moral purpose of schooling; to revisit and rethink some foundational questions related to education, curriculum and pedagogy. This volume will be essential reading for educationists and educators, and will be important for scholars and researchers of philosophy of education, education, teacher education and school education. (shrink)

BackgroundConventionally, transcranial direct current stimulation (tDCS) aims to focalize the current reaching the target region-of-interest (ROI). The focality can be quantified by the dose-target-determination-index (DTDI). Despite having a uniform tDCS setup, some individuals receive focal stimulation (high DTDI) while others show reduced focality (“non-focal”). The volume of cerebrospinal fluid (CSF), gray matter (GM), and white matter (WM) underlying each ROI govern the tDCS current distribution inside the brain, thereby regulating focality.AimTo determine the regional volume parameters that differentiate the focal and (...) non-focal groups.MethodsT1-weighted images of the brain from 300 age-sex matched adults were divided into three equal groups- (a) Young (20 ≤ × < 40 years), (b) Middle (40 ≤ × < 60 years), and (c) Older (60 ≤ × < 80 years). For each group, inter and intra-hemispheric montages with electrodes at (1) F3 and right supraorbital region (F3-RSO), and (2) CP5 and Cz (CP5-Cz) were simulated, targeting the left- Dorsolateral Prefrontal Cortex (DLPFC) and -Inferior Parietal Lobule (IPL), respectively. Both montages were simulated for two current doses (1 and 2 mA). For each individual head simulated for a tDCS configuration (montage and dose), the current density at each region-of-interest (ROI) and their DTDI were calculated. The individuals were categorized into two groups- (1) Focal (DTDI ≥ 0.75), and (2) Non-focal (DTDI < 0.75). The regional volume of CSF, GM, and WM of all the ROIs was determined. For each tDCS configuration and ROI, three 3-way analysis of variance was performed considering- (i) GM, (ii) WM, and (iii) CSF as the dependent variable (DV). The age group, sex, and focality group were the between-subject factors. For a given ROI, if any of the 3 DV’s showed a significant main effect or interaction involving the focality group, then that ROI was classified as a “focal ROI.”ResultsRegional CSF was the principal determinant of focality. For interhemispheric F3-RSO montage, interaction effect (p < 0.05) of age and focality was observed at Left Caudate Nucleus, with the focal group exhibiting higher CSF volume. The CSF volume of focal ROI correlated positively (r ∼ 0.16, p < 0.05) with the current density at the target ROI (DLPFC). For intrahemispheric CP5-Cz montage, a significant (p < 0.05) main effect was observed at the left pre- and post-central gyrus, with the focal group showing lower CSF volume. The CSF volume correlated negatively (r ∼ –0.16, p < 0.05) with current density at left IPL. The results were consistent for both current doses.ConclusionThe CSF channels the flow of tDCS current between electrodes with focal ROIs acting like reservoirs of current. The position of focal ROI in the channel determines the stimulation intensity at the target ROI. For focal stimulation in interhemispheric F3-RSO, the proximity of focal ROI reserves the current density at the target ROI (DLPFC). In contrast, for intrahemispheric montage (CP5-Cz), the far-end location of focal ROI reduces the current density at the target (IPL). (shrink)

Venn diagram system has been extended by introducing names of individuals and their absence. Absence gives a kind of negation of singular propositions. We have offered here a non-classical interpretation of this negation. Soundness and completeness of the present diagram system have been established with respect to this interpretation.

CL diagrams – the abbreviation of Cubus Logicus – are inspired by J.C. Lange’s logic machine from 1714. In recent times, Lange’s diagrams have been used for extended syllogistics, bitstring semantics, analogical reasoning and many more. The paper presents a method for testing statistical syllogisms (also called proportional syllogisms or inductive syllogisms) by using CL diagrams.

Research on human-animal interaction has skyrocketed in the last decade. Rapid urbanization has led scientists to investigate its impact on several species living in the vicinity of humans. Domesticated dogs (Canis lupus familiaris) are one such species that interact with humans and are also called man’s best friend. However, when it comes to the free-ranging population of dogs, interactions become quite complicated. Unfortunately, studies regarding free-ranging dog-human interactions are limited even though the majority of the world’s dog population is free-ranging. (...) In this study, we observed twelve groups of free-ranging dogs in their natural habitat, the streets. We divided the study areas into two zones, namely – intermediate and high flux, based on human activity or movement. Six groups from each of the zones were observed mostly during daytime. We used social network analysis (SNA) to explore the dog-dog (intraspecific) and dog-human (interspecific) interactions. It was surprising to observe higher instances of interspecific interactions than the intraspecific ones, irrespective of the zones. Humans, in significantly higher occasions, initiated both positive and negative interactions in comparison to dogs. Our findings conclude that humans are a crucial part of the interaction network of Indian free-ranging dogs. (shrink)

A new diagram system \ where properties are fundamental and an object exists only w.r.t a property is presented. This work modifies both in syntax and semantics the system \ proposed by Choudhury and Chakraborty to picturise and address issues connected with open universe. Semantics for the current system is given. Soundness and completeness w.r.t the semantics are established.

The article attempts to deal with the proposition that human being’s incapacity to imagine its own death, the state of non-being necessitates the thinking of the animal. A critical and close reading of specific Brāhmaṇa and Mahābhārata texts would spotlight that it is man’s rationalizing capacity that disavows and denies the question of intelligibility of the actions of the animal. The animal is the undisclosable which man keeps and brings to light as such. The article would further investigate if the (...) question of our forgetfulness toward the fact that we are born in debt to death has any linkage to the sacrificial logic of killing animals as elaborated in Brāhmaṇical hermeneutics. It examines how the ethical is thoroughly coextensive with the animal’s act of hospitality/hostility as an affective, purposive and reasoned response toward the other. In the course of the analysis of the jantu and pakshî upākhyāns in the Àraṇyak and Śanti Parvas of the Mahābhārata, the article tries to understand and explore if the experience of the animalitas is intrinsic to the structure of human reason, complicating the nature and notion of a priori. (shrink)

Tactile exploration often involves sequential touches interspersed with stimulus-free durations. Whereas it is obvious that texture-related perceptual variables, irrespective of the encoding strategy, must be stored in memory for comparison, it is rather unclear which of those variables are held in memory. There are two established variables—“intensity” and “frequency”, which are “temporally global” variables because of the long stimulus integration interval required to average the signal or derive spectral components, respectively; on the other hand, a recently established third contender is (...) the “temporally local” variable that codes for kinematic profiles of very short, suprathreshold events in the vibrotactile signal. Here, we present the first psychophysical evidence that temporally local variables can be stored in memory. To that end, we asked participants to detect changes in pulsatile indentation stimuli at their fingertips with and without a gap of 1 s between stimulus presentations. The stimuli either contained global variables alone, or a mix of local and global variables. We found, first, that humans are much better at detecting a change in stimuli when local variables are available rather than global ones alone—as evident by the fact that 21 compared to only 6 participants out of 25 yielded a valid psychophysical curve, respectively. Second, this observation persists even when there is a gap between the stimuli, implying local variables must be stored in memory. Third, an extensive array of relevant intensity definitions failed to explain participants’ performance in any consistent manner, which implies that perceptual decisions were less likely to be driven by intensity coding. Taken together, our results suggest that humans perform pulsatile change detection utilizing local pulse shape, and to a lesser degree global pulse rate, and that both parameters can be stored in memory. (shrink)

Since the early 1980’s, with the clinical advent of in vitro fertilization resulting in so-called “test tube babies,” a wide array of ethical considerations and concerns regarding artificial womb technology (AWT) have been described. Recent breakthroughs in the development of extracorporeal neonatal life support by means of AWT have reinitiated ethical interest about this topic with a sense of urgency. Most of the recent ethical literature on the topic, however, pertains not to the more imminent scenario of a physiologically improved (...) method of neonatal care through AWT, but instead to the remote scenario of “complete ectogenesis” that imagines human gestation occurring entirely outside of the womb. This scoping review of the ethical literature on AWT spans from more abstract concerns about complete ectogenesis to more immediate concerns about the soon-to-be-expected clinical life support of what we term the fetal neonate or fetonate. Within an organizing framework of different stages of human gestational development, from conception to the viable premature infant, we discuss both already identified and newly emerging ethical considerations and concerns regarding AWT and the care of the fetonate. (shrink)

Urbanization affects concurrent human-animal interactions as a result of altered resource availability and land use pattern, which leads to considerable ecological consequences. While some animals have lost their habitat due to urban encroachment, few of them managed to survive within the urban ecosystem by altering their natural behavioral patterns. The feeding repertoire of folivorous colobines, such as gray langur, largely consists of plant parts. However, these free-ranging langurs tend to be attuned to the processed high-calorie food sources to attain maximum (...) benefits within the concrete jungle having insignificant greenery. Therefore, besides understanding their population dynamics, the effective management of these urbanized, free-ranging, non-human primate populations also depends on their altered feeding habits. Here, we have used a field-based experimental setup that allows gray langurs to choose between processed and unprocessed food options, being independent of any inter-specific conflicts over resources due to food scarcity. The multinomial logit model reveals the choice-based decision-making of these free-ranging gray langurs in an urban settlement of West Bengal, India, where they have not only learned to recognize the human-provisioned processed food items as an alternative food source but also shown a keen interest in it. However, such a mismatch between the generalized feeding behavior of folivorous colobines and their specialized gut physiology reminds us of Liem's paradox and demands considerable scientific attention. While urbanization imposes tremendous survival challenges to these animals, it also opens up for various alternative options for surviving in close proximity to humans which is reflected in this study, and could guide us for the establishment of a sustainable urban ecosystem in the future. (shrink)

This conversation attempts to critically map out the field of sociology/anthropology of religion as it is practised in select institutions of learning in India. The focus is not merely on the class...

In 1942, the recently bereaved Manu Gandhi arrived in Sevagram ashram, Wardha, to serve the aged Mahatma and his ailing wife Kasturba. In 1943, she was called to Poona, where the Mahatma and his as...

This research replicates Bhattacharjee et al. :1167–1184, 2013) moral decoupling model and extends the original along the dimensions of theory, method, and context. Adopting a branding perspective and focusing on the corporate domain rather than the public figures investigated by Bhattacharjee and colleagues, this research examines the proposition that consumers dissociate judgments of morality from judgments of performance to justify purchasing from companies deemed to act immorally. The original study is further extended by applying the model in a (...) different cultural context and employing a more realistic stimulus to establish external and ecological validity. The results of the replication generally support the original findings, in particular, under conditions of higher product involvement, a theoretical extension. (shrink)

Undivided Rights: Women of Color Organize for Reproductive Justice by JAEL SILLIMAN, MARLENE GERBER FRIED, LORETTA ROSS, and ELENA R. GUTIÉRREZ. Boston: South End Press, 2004; Policing the National Body: Race, Gender, and Criminalization, ed. JAEL SILLIMAN and ANANNYA BHATTACHARJEE. Cambridge, Mass.: South End Press, 2002; and Conquest: Sexual Violence and American Indian Genocide. ANDREA SMITH. Boston: South End Press, 2005.

Prompted and ever diversified by the specifically human interrogative logos, scientific inquiries seek a common system of links in order to mutually confirm and rectify their results. Coming closer and closer to phenomenology, the sciences of life find the common ground of the reality in the ontopoiesis of life. Could it not be that the interrogative logos of science, participating in human creative inventiveness will bring together also the divergent scientific methods in a common network? A network which comprises natural (...) processes, societal sharing-in-life, and existential communication. Papers by: Gary Backhaus, Anjana Bhattacharjee, Simon Du Plock, Ignacy Fiut, Maria Golaszewska, Wendy C. Hamblet, Alexandr Kouzmin, Nikolay Kozhevnikov, Olga Louchakova, Jarlath Mc Kenna, Amy Louise Miller, Aria Omrani, Arthur Piper, Leszek Pyra, W. Kim Rogers, A.L. Samian, Camilo Serrano Bonitto, Natalia Smirnova, Eva Syristova, Anna-Teresa Tymieniecka, Roberto Verolini, Eldon C. Wait, Leo Zonneveld. (shrink)