I provide a critical commentary regarding the attitude of the logician and the philosopher towards the physicist and physics. The commentary is intended to showcase how a general change in attitude towards making scientific inquiries can be beneficial for science as a whole. However, such a change can come at the cost of looking beyond the categories of the disciplines of logic, philosophy and physics. It is through self-inquiry that such a change is possible, along with the realization of the (...) essence of the middle that is otherwise excluded by choice. The logician, who generally holds a reverential attitude towards the physicist, can then actively contribute to the betterment of physics by improving the language through which the physicist expresses his experience. The philosopher, who otherwise chooses to follow the advancement of physics and gets stuck in the trap of sophistication of language, can then be of guidance to the physicist on intellectual grounds by having the physicist’s experience himself. In course of this commentary, I provide a glimpse of how a truthful conversion of verbal statements to physico-mathematical expressions unravels the hitherto unrealized connection between Heisenberg uncertainty relation and Cauchy’s definition of derivative that is used in physics. The commentary can be an essential reading if the reader is willing to look beyond the categories of logic, philosophy and physics by being ‘nobody’. (shrink)

Physical dimensions like “mass”, “length”, “charge”, represented by the symbols [M], [L], [Q], are not numbers, but used as numbers to perform dimensional analysis in particular, and to write the equations of physics in general, by the physicist. The law of excluded middle falls short of explaining the contradictory meanings of the same symbols. The statements like “m tends to 0”, “r tends to 0”, “q tends to 0”, used by the physicist, are inconsistent on dimensional grounds because “m”, “r”, (...) “q” represent quantities with physical dimensions of [M], [L], [Q] respectively and “0” represents just a number—devoid of physical dimension. Consequently, due to the involvement of the statement “q tends to 0'', where q is the test charge” in the definition of electric field leads to either circular reasoning or a contradiction regarding the experimental verification of the smallest charge in the Millikan–Fletcher oil drop experiment. Considering such issues as problematic, by choice, I make an inquiry regarding the basic language in terms of which physics is written, with an aim of exploring how truthfully the verbal statements can be converted to the corresponding physico-mathematical expressions, where “physico-mathematical” signifies the involvement of physical dimensions. Such investigation necessitates an explanation by demonstration of “self inquiry”, “middle way”, “dependent origination”, “emptiness/relational existence”, which are certain terms that signify the basic tenets of Buddhism. In light of such demonstration I explain my view of “definition”; the relations among quantity, physical dimension and number; meaninglessness of “zero quantity” and the associated logico-linguistic fallacy; difference between unit and unity. Considering the importance of the notion of electric field in physics, I present a critical analysis of the definitions of electric field due to Maxwell and Jackson, along with the physico-mathematical conversions of the verbal statements. The analysis of Jackson’s definition points towards an expression of the electric field as an infinite series due to the associated “limiting process” of the test charge. However, it brings out the necessity of a postulate regarding the existence of charges, which nevertheless follows from the definition of quantity. Consequently, I explain the notion of undecidable charges that act as the middle way to resolve the contradiction regarding the Millikan–Fletcher oil drop experiment. In passing, I provide a logico-linguistic analysis, in physico-mathematical terms, of two verbal statements of Maxwell in relation to his definition of electric field, which suggests Maxwell’s conception of dependent origination of distance and charge ) and that of emptiness in the context of relative vacuum. This work is an appeal for the dissociation of the categorical disciplines of logic and physics and on the large, a fruitful merger of Eastern philosophy and Western science. Nevertheless, it remains open to how the reader relates to this work, which is the essence of emptiness. (shrink)

The capacity to generate recursive sequences is a marker of rich, algorithmic cognition, and perhaps unique to humans. Yet, the precise processes driving recursive sequence generation remain mysterious. We investigated three potential cognitive mechanisms underlying recursive pattern processing: hierarchical reasoning, ordinal reasoning, and associative chaining. We developed a Bayesian mixture model to quantify the extent to which these three cognitive mechanisms contribute to adult humans’ performance in a sequence generation task. We further tested whether recursive rule discovery depends upon relational (...) information, either perceptual or semantic. We found that the presence of relational information facilitates hierarchical reasoning and drives the generation of recursive sequences across novel depths of center embedding. In the absence of relational information, the use of ordinal reasoning predominates. Our results suggest that hierarchical reasoning is an important cognitive mechanism underlying recursive pattern processing and can be deployed across embedding depths and relational domains. (shrink)

Epistemologies and research methods are not free of metaphysics. This is to say that they are both, supported by (or presumed by), and support (or presume) fundamental ontologies. A discussion of the epistemological foundations of "multimethod" research in the social sciences—in as much as such research claims to unearth "causal" relations—therefore cannot avoid the ontological presuppositions or implications of such a discussion. But though there isn’t necessarily a perfect correspondence between ontology, epistemology, and methodology, they do constrain each other. As (...) such it is possible to make methodological choices that are at odds with one’s (implicit) ontology or argue from an ontology that is inconsistent one’s choice of methods.Yet lack of recognition of this fact has hampered methodological discussions in political science, especially with respect to the discussion on the merits of multimethod research. The ontology implicitly accepted in such discussions is "reductionist" and "regularist," that is, one that respectively defines causes in terms of noncausal relations and states of affair and affirms that such noncausal relations are regularities in nature. This article will argue that any attempt to fit "multimethod" research (where "multimethod" signifies some combination of inferential statistics and case studies) within this narrow ontology is destined to fail since such a metaphysics logically cannot accord case studies a necessary or sufficient role in the in the establishment of causal relations. However, there are metaphysical positions within the ambit of an empiricist philosophy of science that can accommodate multiple methods without contradiction. The article discusses two such ontologies and suggests ways in which they might allow the establishment of a coherent epistemological foundation for multimethod research, however, within a decidedly empiricist philosophy of science. (shrink)

Hierarchical cognitive mechanisms underlie sophisticated behaviors, including language, music, mathematics, tool-use, and theory of mind. The origins of hierarchical logical reasoning have long been, and continue to be, an important puzzle for cognitive science. Prior approaches to hierarchical logical reasoning have often failed to distinguish between observable hierarchical behavior and unobservable hierarchical cognitive mechanisms. Furthermore, past research has been largely methodologically restricted to passive recognition tasks as compared to active generation tasks that are stronger tests of hierarchical rules. We argue (...) that it is necessary to implement learning studies in humans, non-human species, and machines that are analyzed with formal models comparing the contribution of different cognitive mechanisms implicated in the generation of hierarchical behavior. These studies are critical to advance theories in the domains of recursion, rule-learning, symbolic reasoning, and the potentially uniquely human cognitive origins of hierarchical logical reasoning. (shrink)

Dennett (_Synthese,_ _53_(2), 159–180, 1982, 1991, _Journal of Consciousness Studies,_ _10_(9–10), 19–30, 2003, _Phenomenology and the Cognitive Sciences,_ _6_, 247–270, 2007 ) proposes and defends a method called _heterophenomenology_. Heterophenomenology is a method to study consciousness _from a third-person objective point of view_ as opposed to a first-person subjective point of view or (auto)-phenomenology. The method of heterophenomenology serves a necessary role in Dennett’s schema of bridging the gap between the manifest and the scientific image of the world. In this (...) paper, I attempt to present a limited critique of the method of heterophenomenology. The objection raised in this paper is limited to one of the steps involved in the method, i.e., the interpretation of the heterophenomenological text as analogous to novelist fiction. I attempt to show that the assumptions made by Dennett about the interpretation of fiction are contradictory in nature and therefore the same cannot be applied to the interpretation of a heterophenomenological text. The assumptions fail in justifying the interpretation of fiction itself and hence exporting them by analogy to interpret a heterophenomenological text is a mistake. (shrink)

Recent advances in genomic and imaging techniques have revealed the complex manner of organizing billions of base pairs of DNA necessary for maintaining their functionality and ensuring the proper expression of genetic information. The SMC proteins and cohesin complex primarily contribute to forming higher‐order chromatin structures, such as chromosomal territories, compartments, topologically associating domains (TADs) and chromatin loops anchored by CCCTC‐binding factor (CTCF) protein or other genome organizers. Cohesin plays a fundamental role in chromatin organization, gene expression and regulation. This (...) review aims to describe the current understanding of the dynamic nature of the cohesin‐DNA complex and its dependence on cohesin for genome maintenance. We discuss the current 3C technique and numerous bioinformatics pipelines used to comprehend structural genomics and epigenetics focusing on the analysis of Cohesin‐centred interactions. We also incorporate our present comprehension of Loop Extrusion (LE) and insights from stochastic modelling. (shrink)

Observational discrepancies in galactic rotation curves and cluster dispersion data have been interpreted to imply the existence of dark matter. Numerous efforts at its detection, however, have failed to turn up any positive result. As a dynamical theory is always operative on the assumed mass distribution to predict kinematic observations, some scientists see the discrepancy as telling against General Relativity. Among the many theories that seek to modify gravity, those that are built on Modified Newtonian Dynamics (MOND), or yield MOND (...) behaviour at appropriate scales, achieve remarkable empirical success without assuming dark matter. The continued non-detection of dark matter and the empirical success of MOND supports the claim that the current evidential and theoretical context underdetermines General Relativity. In this article, I clarify the kind of underdetermination that can be said to threaten General Relativity. Specifically, I argue that the present evidential and theoretical context increase the possibility of an unconceived alternative to GR which would be just as well supported by the available evidence. (shrink)

There has been in recent decades very substantial work done on the concept of a nation, nationality and nationalism. In spite of the world coming together on many fronts—particularly, economy and a multicultural habitat formations especially in Europe and North America—these ideas remain politically volatile. In modern times, the idea of a nation has become powerfully associated with the idea of the state and the two notions are frequently used almost interchangeably. If among the emotional ties that form the basis (...) of the idea of a nation, we add a strong sense of belonging to a specific culture with its own history, traditions and the sharing of ethical and aesthetic values—it may quite naturally lead to the idea of one-nation, one-state and one culture. Such indeed has been a trend in the European concept of the idea of a nation of the 18th, 19th and partly of the twentieth century. However, same cannot be said about Indian nation. If we closely look at the growth of Indian nationalism in the backdrop of anti-colonial movement and formation of Indian state after gaining independence, we find lack of unanimity among thinkers. This paper explores the growth of Indian Nationalism and formation of Indian Nation through the eyes of one of the most seminal contemporary Indian thinkers Sri Aurobindo. (shrink)

Academic research studies examining the ethical attitudes and behaviors of salespeople have produced several frameworks that explore the ethical decision-making processes to which salespeople adhere when faced with ethical dilemmas. Past literature enriches our understanding; however, a critical review of the relevant literature suggests that an emotional route to salesperson ethical decision-making has yet to be explored. Given the fact that individuals’ emotional capacities play an important role in decision-making when faced with an ethical dilemma, there is a need for (...) empirical research in this area. We address this issue by outlining and testing an emotion-based model to study the ethical attitudes and behaviors of salespeople in a relational selling context. Building on the cognitive-affective model proposed by Gaudine and Thorne (J Bus Ethics 31:175–187, 2001 ), we outline a framework that incorporates higher order prosocial emotions: capacity for concern and capacity for guilt. We include salesperson’s role clarity within the organization as a moderator to examine person–situation interaction. (shrink)

Public benefit corporations are National Health Service, that is, state, entities whose function to provide healthcare in discharge of public duties. If we regardvalue as the output of such organisations, it seems logical to connect the values of the organisation to thevalue produced by such organisations. But, on closer examination there are competing underlying logics in play: (1) those based on promoting organisational efficiency and efficacy; and (2) those based on the idea of building service provision around the clinician–patient relationship. (...) Underlying these logics are differing value sets. These clash. Because of the clashing of underlying moral frameworks the connection between values andvalue becomes hard, if not impossible. This paper argues that (1) the clash in these moral frameworks must be addressed by the organisation rather than between individuals or groups of individuals within the organisation; (2) alloying duties within hybrid professionals submerges but does not resolve these conflicts; (3) one approach could be to impose on the organisation itself an ethical imperative to promote, enhance and protect from deterioration the welfare of the patients; (4) a board ethics committee is a possible organisational structure that could transparently and fairly balance clashes within the competing moral frameworks in a way that could reconcile the competing logics and (5) if such conflicts can be better resolved at the organisational level what the organisation must do to achieve its objectives will become clearer because what needs to be valued would naturally emerge connecting values,value and what is valued. (shrink)

The relationship between ethical ideology and job stress appears to be complex. This study is based on a model presented by Forsyth (Journal of Personality and Social Psychology 39:175, 1980), showing two dimensions (idealism and relativism) that play an important role in ethical evaluation and behavior. Based on a survey of 561 employees of hotel industry in India, ethical ideologies were found to be negatively associated with job stress. The data were analyzed using Pearson correlations and multiple regressions. The result (...) showed that relativism is negatively correlated with job stress. Further, it has been established that idealism and relativism interacted in such a way that there is a negative relationship between idealism and job stress when relativism is low and positive relationship when relativism is high. The findings imply that ethical ideology adversely influences the job stress in the organization. (shrink)

In recent months, pharmaceutical manufacturers have brought legal challenges to a provision of the 2022 Inflation Reduction Act (IRA) empowering the federal government to negotiate the prices Medicare pays for certain prescription medications. One key argument made in these filings is that price negotiation is a “taking” of property and violates the Takings Clause of the US Constitution. Through original case law and health policy analysis, we show that government price negotiation and even price regulation of goods and services, including (...) patented goods, are constitutional under the Takings Clause. Finding that the IRA violates the Takings Clause would radically upend settled constitutional law and jeopardize the US’s most important state and federal health care programs. (shrink)

Durán et al argue in ‘Who is afraid of black box algorithms? On the epistemological and ethical basis of trust in medical AI’1 that traditionally proposed solutions to make black box machine learning models in medicine less opaque and more transparent are, though necessary, ultimately not sufficient to establish their overall trustworthiness. This is because transparency procedures currently employed, such as the use of an interpretable predictor,2 cannot fully overcome the opacity of such models. Computational reliabilism, an alternate approach to (...) adjudicating trustworthiness that goes beyond transparency solutions, is argued to be a more promising approach. CR can bring the benefits of traditional process reliabilism in epistemology to bear on this problem of model trustworthiness. Durán et al ’s explicitly reliabilist epistemology to assess the trustworthiness of black box models is a timely addition to current transparency-focused approaches in the literature. Their delineation of the epistemic from the ethical also serves the debate by clarifying the nature of the different problems. However, their overall account underestimates the epistemic value of certain transparency-enabling approaches by conflating different types of opacity and also oversimplifies transparency-advocating arguments in the literature. First, it is unclear why Durán et al consider transparency approaches as insufficient to overcome epistemic opacity, if heiraccount of opacity is the traditional one from the machine learning literature: opacity stemming from the mismatch between mathematical optimisation in high dimensionality that is characteristic of machine learning and the demands of human-scale reasoning and styles of semantic interpretation.3 …. (shrink)

Einsteinian gravity, of which Newtonian gravity is a part, is fraught with the problem of singularity that has been established as a theorem by Hawking and Penrose. The _hypothesis_ that founds the basis of both Einsteinian and Newtonian theories of gravity is that bodies with unequal magnitudes of masses fall with the same acceleration under the gravity of a source object. Since, the Einstein’s equations is one of the assumptions that underlies the proof of the singularity theorem, therefore, the above (...) hypothesis is implicitly one of the founding pillars of the same. In this work, I demonstrate how one can possibly write a non-singular theory of gravity which manifests that the above mentioned hypothesis is only valid in an approximate sense in the “large distance” scenario. To mention a specific instance, under the gravity of the earth, a 5 kg and a 500 kg fall with accelerations which differ by approximately \(113.148\times 10^{-32}\) meter/sec \(^2\) and the more massive object falls with less acceleration. Further, I demonstrate why the concept of gravitational field is not definable in the “small distance” regime which automatically justifies why the Einstein’s and Newton’s theories fail to provide any “small distance” analysis. In course of writing down this theory, I demonstrate why the continuum hypothesis as spelled out by Goedel, is undecidable. The theory has several aspects which provide the following realizations: (i) Descartes’ self-skepticism concerning exact representation of numbers by drawing lines (ii) Born’s wish of taking into account “natural uncertainty in all observations” while describing “a physical situation” by means of “real numbers” (iii) Klein’s vision of having “a fusion of arithmetic and geometry” where “a point is replaced by a small spot” (iv) Goedel’s assertion about “non-standard analysis, in some version” being “the analysis of the future”. (shrink)

Integrates the seemingly diverse studies of Newtonian physics, quantum mechanics, astrophysics, and molecular biology to explain the timeless philosophies of the ages." Includes biographical profiles of several scientists or philosophers who contributed to human understanding of these realities.

In the 1958 lecture, “Hegel and the Greeks,” how does Heidegger intimate a complex sense of historical temporalization when he suggests that the ‘whole of philosophy in its history’ is contained in the title: “Hegel and the Greeks?” Our hypothesis may appear contrarian to contemporary assumptions: a complex notion of origin as paradoxically ‘futural’— particularly in its metaphysical breadth in say the Phenomenology of Spirit and the Science of Logic—is also at work in Heidegger’s thought. This is particularly acute when (...) Heidegger examines the origin of philosophy in ancient Greek thought as a space that opens a future horizon of Being to dawn—that is, some calling that comes from the unforeseeable future to transcend what Heidegger sees as the end, finality, and ‘collapse’ ofphilosophy after Hegel. (shrink)

SummaryExamining waiting time to birth among newlywed couples is likely to provide insights into the desire for spacing births among newlywed husbands and wives. Data from the Indian National Family Health Survey of 2005–06 are used to examine the desired waiting time to birth among newlywed couples. The dependent variable is spousal concordance on desired waiting times. Overall 65% of couples have concordant desired waiting times. Among discordant couples, wives were more likely to want to wait longer than their husbands. (...) Couples from richer wealth quintiles were more likely than couples from the poorest quintile to have concordant desired waiting times. Muslims were less likely than Hindus to have concordant desires. There is a need for spacing contraceptive methods among newlyweds in India. This may have implications for the Indian Family Planning Programme, which to date has largely focused on sterilization. Programmes need to include newlywed husbands to promote use of spacing methods. (shrink)

Using a popular Sufi tale as a starting point, the author shows that in a postmodern age, wisdom can best be characterized as a willingness to see how parts and wholes relate to each other and how new meanings emerge from a dialogical interplay between the two. Wisdom can also be characterized by openness, by the ability to perceive connections among various viewpoints, and by a strong tolerance for ambiguity.

Race and ethnicity are closely related, contentious concepts that have been abused and misinterpreted through history, but have a vast potential for good, at least in the health sciences. This article is not intending to elaborate on the conceptual foundations of race and ethnicity; I have addressed that elsewhere and summarized my stance in the glossary reprinted below in the Appendix. The terminology used here follows the glossary. Assuming that the conceptual foundations of my stance are reasonable, the questions addressed (...) here focus on public health and its primary health science, epidemiology, in a European context. The questions are simple ones:1.In epidemiology and public health what are we trying to achieve when we use the concepts of race and ethnicity?2.What would we lose by rejecting these concepts?3.If we do not reject them, how do we put the concepts into operation to help achieve our goals?4.What practical actions can result from the application of these concepts in order to improve the health and well-being of populations? (shrink)

The popularity of ‘food sovereignty’ to cover a range of positions, interventions, and struggles within the food system is testament, above all, to the term’s adaptability. Food sovereignty is centrally, though not exclusively, about groups of people making their own decisions about the food system—it is a way of talking about a theoretically-informed food systems practice. Since people are different, we should expect decisions about food sovereignty to be different in different contexts, albeit consonant with a core set of principles. (...) In this paper we look at the analytical points of friction in applying ideas of food sovereignty within the context of Indigenous struggles in North America. This, we argue, helps to clarify one of the central themes in food sovereignty: that it is a continuation of anti-colonial struggles, even in post-colonial contexts. Such an examination has dividends both for scholars of food sovereignty and for those of Indigenous politics: by helping to problematize notions of food sovereignty and postcoloniality, but also by posing pointed questions around gender for Indigenous struggles. (shrink)

This article maps the Manvantara section of the Mārkaṇḍeya Purāṇa to reveal a patronymic pattern at play which is key to understanding the interplay between the mythologies of Goddess and Sun found in the Mārkaṇḍeya. It explains why the Devī Māhātmya occurs, especially in the Manvantara, which has puzzled scholars since colonial times. The article argues that the compositional strategy was implemented to present the Goddess as an analog to Viṣṇu, Manu, Sun, and the Indian king, all paragons of preservation.

Relates To Important Mystical Concepts Contained In Guru Granth. Seeks To Revive The Original Spiritual Doctrines Of The Great Masters And Impact Contemporary Meaning Of Their. 13 Chapters-Bibliography, Index. Without Dustjacket.

To note that the study of Sanskrit narrative literature, in particular the Epics and Purāṇas, has been plagued with the propensity towards diachronic dissection would be little more than a truism in most scholarly circles. Yet it is with this truism we are forced to begin as we strive to shed the old skin of colonial era receptions of these texts. While there have been notable efforts made to embrace Sanskrit narrative as synchronic wholes, there isn’t much in the way (...) of a systematic methodology for doing so. This paper, therefore, is aimed at charting a methodology for synchronic study of Sanskrit narrative literature, paying particular attention to narrative frames. It advances five avenues of thematic import based on the structure of Sanskrit narrative: inception import, association import, exposition import, framing import, and impetus import. Examples are primarily drawn primarily from the Mahābhārata and the Mārkaṇḍeya Purāṇa. Note that key terms arising from the discussion in this chapter are bolded throughout and appear in a “terminology guide” appended to the end of this study for the sake of reader reference. (shrink)

This work underscores the true brilliance and timelessness of colonial metaphors of authorship that extend into the postmodern Age. The emphasis is upon both re-invention and comprehensive scholarship on music and film.

Business leadership increasingly requires a master’s degree in business and graduate management admission test scores continue to be an important component of applications for admission to such programs. Given the ubiquitous use of GMAT scores as gatekeepers for business leadership, GMAT scores are likely to influence organizational ethical behavior through gender, cultural, and other biases in the GMAT. There is little prior literature in this area and we contribute by empirically documenting that GMAT scores are negatively related to the cultural (...) dimensions of masculinity and power distance and are positively related to math literacy, uncertainty avoidance, and individualism. We estimate that cultural factors may account for as much as an 80-point difference in cross-national mean GMAT scores which are also related negatively to local language literacy, national educational spending, wealth per capita, wealth inequality, and gender development. Most interestingly, we also find a significant negative association of GMAT scores with ethical orientation. These findings have important implications for business schools and corporate ethics and leadership. (shrink)

Senior service colleges provide professional education to prepare military and government civilians for public service at the senior levels of strategy and policy. Inclusive in the program of study...

In response to Morningstar’s release of carbon risk (CR) scores in May 2018, (environmentally) sustainable mutual funds in the U.S. showed a greater reduction in their portfolio CR relative to conventional funds. The observed causal impact of this third-party disclosure is consistent with the funds’ primary investment objectives. Differences in fund names, potentially driven by marketing considerations, appear irrelevant to the behavior of sustainable funds. Conventional funds that are signatories to the UN’s Principles for Responsible Investment (PRI) or those with (...) secondary sustainability mandates behave more like other conventional funds rather than sustainable funds. These funds appear relatively insensitive to disclosures as their sustainability considerations are superseded by other primary investment criteria. Fiduciary and legal bonding influences fund managers’ response to sustainability disclosures. Sustainable funds lower their CR score by reducing exposure to fossil fuels, not by increasing exposure to renewables. (shrink)

We revisit a typological puzzle due to Horn (Doctoral Dissertation, UCLA, 1972) regarding the lexicalization of logical operators: in instantiations of the traditional square of opposition across categories and languages, the O corner, corresponding to ‘nand’ (= not and), ‘nevery’ (= not every), etc., is never lexicalized. We discuss Horn’s proposal, which involves the interaction of two economy conditions, one that relies on scalar implicatures and one that relies on markedness. We observe that in order to express markedness and to (...) account for a bigger typological puzzle, namely the absence of lexicalizations of ‘XOR’ (= exclusive or), ‘all-or-none’, and many other imaginable logical operators, one must restrict the basic lexicalizable elements to a small set of primitives. We suggest that an ordering based perspective, following Keenan and Faltz (Boolean semantics for natural language, 1985), makes the stipulated primitives that we arrive at more natural. We also propose a modification to Horn’s proposal, based on recent work on implicatures, in which only the implicature condition is operative and in which markedness is part of the definition of the alternatives for scalar implicatures rather than an independent condition. (shrink)

This note establishes a new identification result for additive random utility discrete choice models. A decision-maker associates a random utility Uj+mj\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$U_{j}+m_{j}$$\end{document} to each alternative in a finite set j∈1,…,J\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$j\in \left\{ 1,\ldots,J\right\} $$\end{document}, where U=U1,…,UJ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {U}=\left\{ U_{1},\ldots,U_{J}\right\} $$\end{document} is unobserved by the researcher and random with an unknown joint distribution, while the perturbation m=m1,…,mJ\documentclass[12pt]{minimal} \usepackage{amsmath} (...) \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {m}=\left $$\end{document} is observed. The decision-maker chooses the alternative that yields the maximum random utility, which leads to a choice probability system m→Pr1|m,…,PrJ|m\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf { m\rightarrow }\left,\ldots,\Pr \left \right) $$\end{document}. Previous research has shown that the choice probability system is identified from the observation of the relationship m→Pr1|m\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathbf {m}\rightarrow \Pr \left $$\end{document}. We show that the complete choice probability system is identified from observation of a relationship m→∑j=1sPrj|m\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {m}\rightarrow \sum _{j=1}^{s}\Pr \left $$\end{document}, for any sshrink)

Minichromosome maintenance (Mcm) proteins are well‐known for their functions in DNA replication. However, their roles in chromosome segregation are yet to be reviewed in detail. Following the discovery in 1984, a group of Mcm proteins, known as the ARS‐nonspecific group consisting of Mcm13, Mcm16‐19, and Mcm21‐22, were characterized as bonafide kinetochore proteins and were shown to play significant roles in the kinetochore assembly and high‐fidelity chromosome segregation. This review focuses on the structure, function, and evolution of this group of Mcm (...) proteins. Our in silico analysis of the physical interactors of these proteins reveals that they share non‐overlapping functions despite being copurified in biochemically stable complexes. We have discussed the contrasting results reported in the literature and experimental strategies to address them. Taken together, this review focuses on the structure‐function of the ARS‐nonspecific Mcm proteins and their evolutionary flexibility to maintain genome stability in various organisms. (shrink)