Horizontal gene transfer (HGT) has been a paramount mechanism of interest in recent literature addressing the origins of biological evolution. However, research on lightning-triggered electroporation represents the innovative and still insufficiently grasped approach to HGT (Kotnik, 2013). On the other hand, prebiotic synthesis is a fundamental process for chemical evolution. Recently, the effects of volcanic lightning on nitrogen fixation and phosphate reduction have also been considered (NavarroGonzález and Segura, 2004). This paper aims to present a top-down approach to the question (...) of the origin of life on early Earth. By considering the conditions necessary for the emergence of biological and chemical evolution, emphasizing electrostatic discharges, we will attempt to link previous theoretical and experimental research. Furthermore, we will present a recent endeavor at applying the Drake equation to calculating the probability of volcanic lightning impact on the prebiotic synthesis and derive a similar use in estimating the contribution of lightning to HGT (Weaver, 2013). We will also display that choosing a type of probability appropriate for the context of life sciences is not necessarily a quantitative issue. Finally, we will show that significant conceptual constraints, like determining the relevant factors and sources of uncertainty when considering the origin of life on early Earth, are fundamentally philosophical issues. We hope that the results of our research – deriving Drake’s equation in the domain of chemical evolution and considering Bayesian and counterfactual types as potentially more suitable candidates for calculating probabilities in the evolutionary framework – will contribute to developing new discussions in life sciences. (shrink)

In a recent response to Persson & Savulescu’s Unfit for the Future, Nicholas Agar argues that moral bioenhancement is dangerous. His grounds for this are that normal moral judgement should be privileged because it involves a balance of moral subcapacities; moral bioenhancement, Agar argues, involves the enhancement of only particular moral subcapacities, and thus upsets the balance inherent in normal moral judgement. Mistaken moral judgements, he says, are likely to result. I argue that Agar’s argument fails for two reasons. Firstly, (...) having strength in a particular moral subcapacity does not necessarily entail a worsening of moral judgement; it can involve strength in a particular aspect of morality. Secondly, normal moral judgement is not sufficiently likely to be correct to be the standard by which moral judgements are measured. (shrink)

This study asks after the fate of sophistry in the Eleatic Stranger's investigation of the best of the six regimes governed by law, and outlines as far as possible the role of the rhetor under the supervision of the true statesman, as well as the function and effects of myth on the citizens of the best regime. In short, I argue that Socrates' competitors do, in a qualified manner, still have a place in such a polis precisely where the work (...) of gathering intelligence finds its civic limit. (shrink)

The purpose of this paper is to challenge what is often called the “Uniqueness” thesis. According to this thesis, given one’s total evidence, there is a unique rational doxastic attitude that one can take to any proposition. It is sensible for defenders of Uniqueness to commit to an accompanying principle that: when some agent A has equal epistemic reason both to believe that p and to believe that not p, the unique epistemically rational doxastic attitude for A to adopt with (...) respect to whether p is the suspension of judgment. In this paper, I offer a case wherein the agent has equal epistemic reason both to believe that p and to believe that not p, but the agent is not epistemically required to suspend judgment about whether p. Furthermore, the case is such that there seems to be no uniquely rational attitude for the agent to adopt. (shrink)

A standard framework for business ethics views the inquiry as an application of major ethical theories to specific issues in business. As these theories are largely presented as being principled, the exercise therefore becomes one of applying general principles to business situations. Many adopting this standard approach have thus resisted the implementation of the most prominent development in ethical theory in recent history: that of particularism. In this article, I argue that particularist thinking has much to offer to business ethics (...) and that standard resistance to particularist business ethics is based largely on misunderstandings. I do so by illustrating how the harbinger of particularism, W. D. Ross, countenances the practical wisdom of particularist ethics while being 1) invulnerable to standard objections to particularist business ethics and 2) compatible with the generalism of the standard approach. The Rossian business ethic is therefore one that the standard approach should be eager to include. (shrink)

In this paper I give a novel argument for the view that epistemic normative reasons (or evidence) need not be facts. I first argue that the nature of normative reasons is uniform, such that our positions about the factivity of reasons should agree across normative realms –– whether epistemic, moral, practical, or otherwise. With that in mind, I proceed in a somewhat indirect way. I argue that if practical motivating reasons are not factive, then practical normative reasons are not factive. (...) If it is possible to act rationally in the light of a falsehood, as I will say, then some good reasons must be falsehoods. The implication of this argument is perhaps surprising: for one to firmly establish the view that epistemic normative reasons are factive, one must discredit the view that practical motivating reasons are not factive. (shrink)

There is a common view that the utilitarian theory of John Stuart Mill is morally realist and involves a strong kind of practical obligation. This article argues for two negative theses and a positive thesis. The negative theses are that Mill is not a moral realist and that he does not believe in certain kinds of obligations, those involving external reasons and those I callrobustobligations, obligations with a particular, strong kind of practical authority. The positive thesis is that Mill's metaethical (...) position can be interpreted as a Humean constructivist view, a metaethical view that is constructivist about value and entails the existence of practical reasons, but not external reasons or robust obligations. I argue that a Humean constructivist reading of Mill's theory is reasonable, and strengthens Mill's argument from desire for the value of happiness, an important but notoriously weak aspect of his theory. (shrink)

This essay defends subjectivism about reasons of love. These are the normative reasons we have to treat those we love especially well, such as the reasons we have to treat our close friends or life partners better than strangers. Subjectivism about reasons of love is the view that every reason of love a person has is correctly explained by her desires. I formulate a version of subjectivism about reasons of love and defend it against three objections that have been made (...) to this kind of view. Firstly, it has been argued that the phenomenology of our focus when we have reasons of love does not fit with subjectivism about those reasons. Secondly, it has been argued that the phenomenology of our motivations when we have reasons of love does not fit with subjectivism about those reasons. Thirdly, it has been argued that subjectivism about reasons of love has deeply counterintuitive implications about what our reasons of love are. I argue that none of these objections succeeds. (shrink)

The concept of bribery is important to our thinking about ethics, especially in professional contexts. This is in no small part due to the thought that, as Seamus Miller has put it, bribery is “a paradigm of corruption”. Business persons and corporate entities are often evaluated by how well they remain free from, root out, and punish corruption – especially in democratic societies. It is a common thought, for example, that a democratic institution ought to be free from corruption. Since (...) bribery is often thought a form – perhaps the paradigmatic form – of corruption, bribery, too, serves as a central concept in our evaluations of business persons and corporate entities. This article will lay out three common elements which together are characteristics of bribery (payment, intention, and wrongdoing), and then briefly illustrate how this conjunction of elements allows for distinguishing between bribery and two other questionable acts often examined in the context of business (grease payment and extortion). (shrink)

A survey of commentaries on Aristotle’s Poetics over the past century reflects a long-standing assumption that pleasure, rather than understanding, is to be seen as the real aim of tragedy, despite weak textual evidence to this end. This paper seeks to rehabilitatethe role of understanding in tragedy’s effect, as Aristotle sees it, to an equal status with that of its affective counterpart. Through an analysis of the essential inducement of wonder on the part of the viewer and its connection with (...) the organic unity of the plot—what Aristotle calls the “soul” of tragedy—I argue that the telos of tragedy in the Poetics is intended to accommodate both pleasure and incipient philosophical activity without necessarily privileging either. (shrink)

Two critical yet comic elements, beyond the more obvious narrative of persecution, reveal themselves in Adorno's recorded nightmare. The first is comic because it so aptly displays his relentless critical impulse despite himself, the way in which theory invades the private sphere of his dreams: even in sleep, Adorno finds himself at once reading phenomena and on guard against a false transcendence from which they could, in the last instance, be deciphered.1 The second is more patently absurd, yet perhaps more (...) difficult to assess: that he should gain permission to interrupt an unspeakably cruel and final punishment, an essentially hopeless…. (shrink)

Kazimir Malevich’s style of Suprematist painting represents the inauguration of nothing less than a new form of culture premised upon a demolition of the Western tradition’s reifying habits of objective thought. In ridding his canvases of all objects and mimetic conventions, Malevich sought to reconfigure human perception in such a way as to open consciousness to alternative modes of organization and signification. In this paper, I argue that Malevich’s revolutionary aesthetic strategy can be illuminated by a return to the very (...) basis of this tradition, namely by a reconsideration of Aristotle’s account in De Anima III.2 of the initial possibility of objective perception as such. (shrink)

A closer look at the character of Odysseus in the opening passages of the Philoctetes reveals a more nuanced psychology of guilt and justification than commentators have thus far appreciated in the cunning hero's role. This paper examines the relations of sympathy between Odysseus, Neoptolemus, and Philoctetes as a way of entering into the complicated political drama of the work. Conceiving politics in the Philoctetes as a hybrid construction of the demands of nature and the demands of the gods, this (...) study provides a reading of Sophocles' play as an observation of the necessity for political regimes to efface the very conditions of sympathy that made them possible in the first place. On this reading, Sophocles' tragedy is to be seen as an explorarion of the damage incurred by individuals when such effacement takes place. (shrink)

Whereas the entrance of the monochrome into modern art has typically been understood in light of movements in contemporary art and aesthetic theory following in its wake, this essay seeks to understand the motivations for, and the effect of, the monochrome in the work of Aleksandr Rodchenko in 1921 in reference to Plato's analysis of pure pleasure and absolute beauty in the Philebus . I argue that Rodchenko and Plato were motivated by a shared project to contend with the aesthetic (...) and psychological effects of figurative semblance, or what Socrates calls the phantasm, in order to harmonize human perception with the world of sensuous material objects. It is in this shared project, I contend, that Rodchenko's strategy is to be understood as a kind of materialist Platonism that, when viewed phenomenologically, reveals Plato's objects of absolute beauty to be, in the context of industrial capitalism and the crisis of perception that Benjamin, among others, saw as its consequence, sites of loss and meaninglessness for modern consciousness, yet sites which nonetheless contain emancipatory potential for a social order that has been systematically alienated from itself and its environment. (shrink)

The Protagoras features the first known venture into detailed textual interpretation in the Western intellectual tradition. Yet if Socrates is to be taken at his wordat the close of his hermeneutic contest with Protagoras, this venture is to be regarded as a playful demonstration of the worthlessness of texts for aiding in the pursuit of knowledge. This essay is an attempt to view Socrates’ puzzling remarks on this point within their dramatic and historical contexts. I argue that, far from having (...) us lay our inherited texts aside, we can find in the Protagoras a reorientation to the linked activities of reading and dialogue, where we need not be forced to choose between merely using our own unaided voices and relying upon the (textual) voices of others in the project of philosophic education. (shrink)

Art has a major role in political critique and in the contemporary world of art, ethics, politics, and aesthetics intersect. Using the work of Alfredo Jaar as an example of these intersections, I argue through my reading of Judith Butler, that his art can provide us with better, more egalitarian versions of populations to be perceived as grievable. Once we apprehend grievability, we can affectively apprehend that lives in the context of war and violence are precarious. Here lies the power (...) of art to challenge the dominant norms and frames. Here also lies the central role of aesthetics as a political critique. From this argument I claim that, instead of accounting for aesthetics being separate from ethics and politics, it is important we understand these fields as intersecting with each other. I analyze the work of Susan Sontag on images of suffering and violence, Butler’s turn to aesthetics in her own work, and Jaar’s own conflict over the use of beauty to convey suffering. I defend that apprehension is a term distinct from recognition but central to understand the intersection between ethics, politics, and aesthetics. -/- Key Words: Aesthetics, Affect, Butler, Ethics, Jaar, Politics, Sontag. (shrink)

I explore the role of intimacy and chance in Republic and their function as dangerous or threatening to self-sufficiency. I argue that both intimacy and chance are wrongly construed as a burden, or as disruptive to the regime of the just city and that, ultimately, the job of philosophy is to regulate affect and the risk of chance in the city. I conclude that the repercussions of Plato’s strong account of self-sufficiency can be found to this day in our contemporary (...) beliefs of intimacy, a concept which is still perceived as dangerous for its power to bind us to the mercy of chance. -/- . (shrink)

Homeostatic property clusters (HPCs) are offered as a way of understanding natural kinds, especially biological species. I review the HPC approach and then discuss an objection by Ereshefsky and Matthen, to the effect that an HPC qua cluster seems ill-fitted as a description of a polymorphic species. The standard response by champions of the HPC approach is to say that all members of a polymorphic species have things in common, namely dispositions or conditional properties. I argue that this response fails. (...) Instances of an HPC kind need not all be similar in their exhibited properties. Instead, HPCs should instead be understood as unified by the underlying causal mechanism that maintains them. The causal mechanism can both produce and explain some systematic differences between a kind’s members. An HPC kind is best understood not as a single cluster of properties maintained in stasis by causal forces, but as a complex of related property clusters kept in relation by an underlying causal process. This approach requires recognizing that taxonomic systems serve both explanatory and inductive purposes. (shrink)

Recent accounts of actual causation are stated in terms of extended causal models. These extended causal models contain two elements representing two seemingly distinct modalities. The first element are structural equations which represent the or mechanisms of the model, just as ordinary causal models do. The second element are ranking functions which represent normality or typicality. The aim of this paper is to show that these two modalities can be unified. I do so by formulating two constraints under which extended (...) causal models with their two modalities can be subsumed under so called which contain just one modality. These two constraints will be formally precise versions of Lewissystem of weights or priorities” governing overall similarity between possible worlds. (shrink)

It has been known for long time that most of the existing cosmology models have singularity problem. Cosmological singularity has been a consequence of excessive symmetry of flow, such as “Hubble’s law”. More realistic one is suggested, based on Newtonian cosmology model but here we include the vertical-rotational effect of the whole Universe. We review a Riccati-type equation obtained by Nurgaliev, and solve the equation numerically with Mathematica. It is our hope that the new proposed method can be (...) verified with observation data. (shrink)

Abstract to Equations, Qualia, and Qualations -/- With regard to consciousness, we could write an equation B = black. But it is possible to rewrite this using a quale, namely, B = █. This latter equation might be called a ‘qualation’. It has the same meaning regardless of the physiology that apprehends it. This article argues a whole theory of qualations could be developed. Further, to a Dualist, it could be that a materialist is convinced by materialist arguments (...) involving the first equation, but it is unimaginable how this could ever be for a qualation. In view of the strong association of qualia with McTaggart’s A-series (future/present/past) a few notes on time are included. (shrink)

This study aimed to construct structural equation model of students’ competence in mathematics through selected students profile variables. The structural model revealed interesting influence of the profile variables to the competency in mathematics. It can be conveyed that better mother’s work status, higher educational level expected to complete, more confident and did not repeat kinder, have better competency in mathematics. The four variables that directly influenced the competence variables were also influenced with other profile variables such as family background. (...) The family background and confidence level consistently had the highest total effect and indirect effect to the competence in mathematics. Hence, this model can serve as a guide in making programs in the classroom or curriculum in mathematics. (shrink)

Can you find an xy-equation that, when graphed, writes itself on the plane? This idea became internet-famous when a Wikipedia article on Tupper’s self-referential formula went viral in 2012. Under scrutiny, the question has two flaws: it is meaningless (it depends on fonts) and it is trivial. We fix these flaws by formalizing the problem.

I give concise derivations of Price's equation and the criteria for kin and group selection, prove that kin and group selection are equivalent, and discuss the controversies about altruism.

An analysis of the classical-quantum correspondence shows that it needs to identify a preferred class of coordinate systems, which defines a torsionless connection. One such class is that of the locally-geodesic systems, corresponding to the Levi-Civita connection. Another class, thus another connection, emerges if a preferred reference frame is available. From the classical Hamiltonian that rules geodesic motion, the correspondence yields two distinct Klein-Gordon equations and two distinct Dirac-type equations in a general metric, depending on the connection used. Each of (...) these two equations is generally-covariant, transforms the wave function as a four-vector, and differs from the Fock-Weyl gravitational Dirac equation (DFW equation). One obeys the equivalence principle in an often-accepted sense, whereas the DFW equation obeys that principle only in an extended sense. (shrink)

Science begins with mystery. What causes lightning? How did this mold stop bacterial growth? Why do we age? Arguably, the two greatest mysteries are the cosmos and consciousness—the vast world out there and the vibrant world within. Scientists captivated by one can be called to study the other, seduced by the thought that these mysteries are connected. Science writer George Musser’s book Putting Ourselves Back in the Equation reviews their progress: Can physics unlock the mystery of consciousness? Does consciousness (...) underlie fundamental physics? (shrink)

It has been long known that a year after Schrödinger published his equation, Madelung also published a hydrodynamics version of Schrödinger equation. Quantum diffusion is studied via dissipative Madelung hydrodynamics. Initially the wave packet spreads ballistically, than passes for an instant through normal diffusion and later tends asymptotically to a sub‐diffusive law. In this paper we will review two different approaches, including Madelung hydrodynamics and also Bohm potential. Madelung formulation leads to diffusion interpretation, which after a generalization yields (...) to Ermakov equation. Since Ermakov equation cannot be solved analytically, then we try to find out its solution with Mathematica package. It is our hope that these methods can be verified and compared with experimental data. But we admit that more researches are needed to fill all the missing details. (shrink)

Inspired by “One Note Samba,” a standard jazz repertoire, we present an outline of Bose-Einstein Condensate Cosmology (BECC). Although this approach seems awkward and a bit off the wall at first glance, it is not impossible to connect altogether BEC, Scalar Field Cosmology and Feshbach Resonance with Ermakov-Pinney equation. We also discuss shortly possible link with our previous paper, where we describe Newtonian Universe with Vortex in terms of Ermakov equation.

This is an English translation of Waldenfels' German essay: Equality and inequality are basic elements of law, justice and politics. Equality integrates each of us into a common sphere by distributing rights, duties and chances among us. Equality turns into mere indifference as far as we get overintegrated into social orders. When differences are fading away experience loses its relief and individuals lose their face. Our critical reflections start from the inevitable paradox of making equal what is not equal. In (...) various ways they refer to Nietzsche’s concept of order, to Marx’s analysis of money, to Lévinas’s ethics of the Other, and to novelists like Dostoevsky and Musil. Our critique turns against two extremes, on the one hand against any sort of normalism fixed on functioning orders, on the other hand against any sort of anomalism dreaming of mere events and permanent ruptures. Responsive phenomenology shows how we are confronted with extraordinary events. Those deviate from the ordinary and transgress its borders, without leaving the normality of our everyday world behind. The process of equalizing moves between the ordinary and the extraordinary. What makes the difference and resists mere indifference are creative responses which are to be invented again and again. (shrink)

In a rather old paper, Mario Liu described a hydrodynamic Maxwell equations. While he also discussed potential implications of these new approaches to superconductors, such a discussion of electrodynamics of superconductors is made only after Tajmar’s paper. Therefore, in this paper we present for the first time a derivation of fluidic Maxwell-Proca equations. The name of fluidic Maxwell-Proca is proposed because the equations were based on modifying Maxwell-Proca and Hirsch’s theory of electrodynamics of superconductor. It is hoped that this paper (...) may stimulate further investigations and experiments in superconductor. It may be expected to have some impact to cosmology modeling too, for instance we consider a hypothetical argument that photon mass can be origin of gravitation. Then, after combining with the so-called chiral modification of Maxwell equations (after Spröessig), then we consider chiral Maxwell-Proca equations as possible alternative of gravitation theory. Such a hypothesis has never considered in literature to the best of our knowledge. (shrink)

A *qualation* does not contain merely references to qualia, but contains actual qualia. There are many differences to equations. Qualations are irreducibly 1st-person and are required for the statement of a hard problem.

The biochemistry of geotropism in plants and gravisensing in e.g. cyanobacteria or paramacia is still not well understood today [1]. Perhaps there are more ways than one for organisms to sense gravity. The two best known relatively old explanations for gravity sensing are sensing through the redistribution of cellular starch statoliths and sensing through redistribution of auxin. The starch containing statoliths in a gravity field produce pressure on the endoplasmic reticulum of the cell. This enables the cell to sense direction. (...) Alternatively, there is the redistribution of auxin under the action of gravity. This is known as the Cholodny-Went hypothesis [2], [3]. The latter redistribution coincides with a redistribution of electrical charge in the cell. With the present study the aim is to add a mathematical unified field explanation to gravisensing. (shrink)

The study's general objective is to determine the students' stance on the most appropriate model of writing skills, using Structural Equation Modeling (SEM) as a basic design in the relationship of self-regulated learning strategies, communicative learning strategies, learning grammatical strategies, and writing skills. This study used a mixed-method sequential explanatory design, in which quantitative design is more widely used than qualitative Creswell, J., & Creswell, D. (2017). The researcher used the stratified random sampling technique for selecting respondents and, by (...) using the Raosoft sample size calculator, identified 390 respondents using a four-part questionnaire to collect data. Purposive sampling is the method for determining participants in a qualitative design using a guided questionnaire to obtain data from In-Depth Interviews and Focus Group Discussions. Model 5 was the best-fitting model for writing skills, showing significant correlations with the exogenous variables: self-regulated learning strategies, communicative learning strategies, learning grammatical strategies, and writing skills as endogenous variables. Both the exogenous and endogenous variables obtained a high level of overall description, meaning that students often practiced strategies to cultivate writing skills. The participants' stance on the most appropriate model is essential for tertiary students to have different strategies for developing writing skills. It is necessary to reach the full description of the highest level by using different strategies to build writing skills. (shrink)

It is shown that the heuristic "derivation" of the Schrödinger equation in quantum mechanics textbooks can be turned into a real derivation by resorting to spacetime translation invariance and relativistic invariance.

The objective of the study was to develop a structural model that explores the relationship between Mathematics Performance and students’ self-regulated learning skills, grit, and expectancy-value towards science, technology, engineering and mathematics (STEM). The research collected survey data from 664 senior high school students from 17 STEM high schools, and conducted a covariance-based structural equation modeling (SEM) analysis. The results of the SEM analysis indicate that the Re-specified Self-Regulated Learning Skill – Expectancy-Value towards STEM – Grit – Mathematics Performance (...) (Re-specified SRL-EV-GR-MP) model is the most parsimonious fit, offering the best empirical support for the theoretical model of the study. The research findings suggest that the mathematics performance of senior high school students in STEM curriculum is attributed to their high expectancies for success and perceived values of the STEM tasks, high grit, and high self-regulated learning skills. Moreover, the research also observed evidence of mediating and moderating grit effects in the concurrent effects of expectancy-values towards STEM and self-regulated learning skills towards students’ mathematics performance. (shrink)

In recent years, there are a number of proposals to consider collision-based soliton computer based on certain chemical reactions, namely Belousov-Zhabotinsky reaction, which leads to soliton solutions of coupled Nonlinear Schroedinger equations. They are called Manakov System. But it seems to us that such a soliton computer model can also be based on solitary wave solution of Maxwell-Dirac equation, which reduces to Choquard equation. And soliton solution of Choquard equation has been investigated by many researchers, therefore it (...) seems more profound from physics perspective. However, we consider both schemes of soliton computer are equally possible. More researches are needed to verify our proposition. (shrink)

Following a hypothesis by Marciak-Kozlowska, 2011, we consider one-dimensional Schumann wave transfer phenomena. Numerical solution of that equation was obtained by the help of Mathematica.

There exists a huge number of numerical methods that iteratively construct approximations to the solution y(x) of an ordinary differential equation (ODE) y′(x) = f(x,y) starting from an initial value y_0=y(x_0) and using a finite approximation step h that influences the accuracy of the obtained approximation. In this paper, a new framework for solving ODEs is presented for a new kind of a computer – the Infinity Computer (it has been patented and its working prototype exists). The new computer (...) is able to work numerically with finite, infinite, and infinitesimal numbers giving so the possibility to use different infinitesimals numerically and, in particular, to take advantage of infinitesimal values of h. To show the potential of the new framework a number of results is established. It is proved that the Infinity Computer is able to calculate derivatives of the solution y(x) and to reconstruct its Taylor expansion of a desired order numerically without finding the respective derivatives analytically (or symbolically) by the successive derivation of the ODE as it is usually done when the Taylor method is applied. Methods using approximations of derivatives obtained thanks to infinitesimals are discussed and a technique for an automatic control of rounding errors is introduced. Numerical examples are given. (shrink)

The mass-energy relationship does not derive logically from Special Relativity, since it is not a function of relative velocity. It might be a function of acceleration. ‘Mass’ is re-examined as a stand-alone concept.

It has been known for long time that the cosmic sound wave was there since the early epoch of the Universe. Signatures of its existence are abound. However, such a sound wave model of cosmology is rarely developed fully into a complete framework. This paper can be considered as our second attempt towards such a complete description of the Universe based on soliton wave solution of cosmological KdV equation. Then we advance further this KdV equation by virtue of (...) Cellular Automaton method to solve the PDEs. We submit wholeheartedly Robert Kurucz’s hypothesis that Big Bang should be replaced with a finite cellular automaton universe with no expansion. Nonetheless, we are fully aware that our model is far from being complete, but it appears the proposed cellular automaton model of the Universe is very close in spirit to what Konrad Zuse envisaged long time ago. It is our hope that the new proposed method can be verified with observation data. But we admit that our model is still in its infancy, more researches are needed to fill all the missing details. (shrink)

In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer's rule was applied to solve the system of symbolic 2-plithogenic linear equations. Also, provided enough examples for each case to enhance understanding.

Arguments for the effectiveness, and even the indispensability, of mathematics in scientific explanation rely on the claim that mathematics is an effective or even a necessary component in successful scientific predictions and explanations. Well-known accounts of successful mathematical explanation in physical science appeals to scientists’ ability to solve equations directly in key domains. But there are spectacular physical theories, including general relativity and fluid dynamics, in which the equations of the theory cannot be solved directly in target domains, and yet (...) scientists and mathematicians do effective work there (McLarty 2023, Elder 2023). Building on extant accounts of structural scientific explanation (Bokulich 2011, Leng 2021), I argue that philosophical accounts of the role of equations in scientific explanation need not rely on scientists’ ability to solve equations independently of their understanding of the empirical or experimental context. For instance, the process of formulating solutions to equations can involve significant appeal to information about experimental contexts (Curiel 2010) or of physically similar systems (Sterrett 2023). Working from a close analysis of work in fluid mechanics by Martin Bazant and Keith Moffatt (2005), I propose an account of heuristic structural explanation in mathematics (Einstein 1921, Pincock 2021), which explains how physical explanations can be constructed even in domains where basic equations cannot be solved directly. (shrink)

Recent studies tend to explain the importance of communication in the organisation as well as prescribing the most commonly practised techniques adopted by school managers. Studies on financial management are quite limited with the available ones suggesting that poor financial management is a source of conflict between school leaders and host communities. Little seems to be known on the connection between principals’ communication patterns and funds’ management as predictors of school-community relationship. This study builds on existing studies and appears to (...) be the first to assess the linkages between principals’ communication patterns, fund management practices and school- community relationship based on empirical rather than subjective data. A structural modelling approach was adopted to examine the nexus using quantitative primary data obtained from a random sample of 2108 respondents. A questionnaire which was designed and validated by the researchers served as the data collection device. Collected data were subjected to Exploratory and Confirmatory Factor Analyses, as well as Multiple Regression Analysis. Findings revealed various significant communication, funds management and school-community relationship practices that are available for adoption. However, it was found that the extent to which principals utilised such practices were below expected minimum standards. It was also found that there were no significant partial and composite effects of principals’ communication and funds management practices on school-community relationship (SCR). Based on these results, relevant theoretical, policy and practical implications are discussed. (shrink)

In physics there are different opinions about the conceptual interpretation of Einstein’s famous equation that describes the equivalence between mass and energy. It is understandable that the equation has different interpretations because of the different points of view to interpret phenomenological reality. This paper is about the meaning of the equation in relation to the general concept of quantum field theory. In other words, reality is created by the underlying structure of the basic quantum fields.

We propose to simplify the problem of the unified theory of Quantum-Gravity through dealing first with the simple case of non-relativistic equations of Gravity and Quantum Mechanics. We show that unification of the two non-relativistic formalisms can be achieved through the joined classical and Quantum postulate that every natural body is composed of N identical final particles. This includes the current 'elementary' particles of the standard model such as quarks, photons, gluons, etc. Furthermore, we show that this opens a new (...) route toward a Generalized Equation of Quantum-Gravity that takes the effects of both of velocity and acceleration into account. (shrink)

In this paper we study the connection between the use of evaluative language and the building of both personal and social identities, from the perspective of Dynamical System Theory. We primarily discuss two issues: 1) The use of evaluation ) as a means to the construction of both individual and group identities, thus exploring how the connection between linguistic choices and social identities is shaped by interactional needs for stancetaking. In order to illustrate this connection, we examine examples of the (...) use of evaluative language in a web social network, and we analyze some of the discourse elements showing ways of positioning that act as catalysts for the emergence of a multifactorial dynamic system of identities. 2) The consideration of Dynamical System Theory as a theoretical framework for the modeling of language and identity. Although originally a mathematical theory, DST has been adopted by cognitive science as a valid framework for the study of cognitive phenomena, on the grounds that natural cognition is a dynamical phenomenon. Within the realm of linguistics and pragmatics, this study is to a certain degree in line with some recent studies such as Gibbs, Geeraerts, Kristiansen and Peirsman, or Moreno Fernández. Thus, we herein focus on how linguistic evaluation intervenes in the intricate dynamical system of identity, and even though we do not engage in complex mathematical disquisition, we argue that the idea and philosophical foundation underlying DST can lead us towards the ‘integration’ of the complex equation of identity construction, and that consequently the field has great potential for further research. (shrink)

We introduce for the first time the appurtenance equation and inclusion equation, which help in understanding the operations with neutrosophic numbers within the frame of neutrosophic statistics. The way of solving them resembles the equations whose coefficients are sets (not single numbers).

This article provides insights into Grade 11 learner understanding of the roots of quadratic equations, how learners used solution strategies to find equations with given roots, how they determine the unknown values and the other root when one root is given and how they determine the unknown values when two roots of the equation are given. The study was underpinned by Skemp’s relational and instrumental understanding, and Kilpatrick, Swafford and Findel’s conceptual and procedural understanding to gain the insights into (...) Grade 11 learners’ understanding of the roots of quadratic equations. A case study design was espoused to answer the main research questions of this study. A written test was administered to 42 learners, and eight learners were purposively sampled to participate in a clinical interview based on their responses to the test. The findings of this study revealed that learners find it difficult to describe the roots, determine the other root when one root is given, to solve quadratic equations written in standard form, to represent the roots to determine the value of unknown variable(s), and to execute the reversal process using the given roots to find the equation. (shrink)

An ongoing mystery in sensory science is how sensation magnitude F(I), such as loudness, increases with increasing stimulus intensity I. No credible, direct experimental measures exist. Nonetheless, F(I) can be inferred algebraically. Differences in sensation have empirical (but non-quantifiable) minimum sizes called just-noticeable sensation differences, ∆F, which correspond to empirically-measurable just-noticeable intensity differences, ∆I. The ∆Is presumably cumulate from an empirical stimulus-detection threshold I_th up to the intensity of interest, I. Likewise, corresponding ∆Fs cumulate from the sensation at the stimulus-detection (...) threshold, F(I_th ), up to F(I). Regarding the ∆Is, however, it is unlikely that all of them will be known experimentally; the procedures are too lengthy. The customary approach, then, is to find ∆I at a few widely-spaced intensities, and then use those ∆Is to interpolate all ∆Is using some smooth continuous function. The most popular of those functions is Weber’s Law, ∆I⁄I=K. But that is often not even a credible approximation to the data. However, there are other equations for ∆I⁄I. Any such equation for ∆I⁄I can be combined with any equation for ∆F, through calculus, to altogether obtain F(I). Here, two assumptions for ∆F are considered: ∆F=B (Fechner’s Law) and (∆F⁄F)=g (Ekman’s Law). The respective integrals involve lower bounds I_th and F(I_th ). This stands in broad contrast to the literature, which heavily favors non-bounded integrals. We, hence, obtain 24 new, alternative equations for sensation magnitude F(I) (12 equations for (∆I⁄I) × 2 equations for ∆F). (shrink)