I prove that the Boolean Prime Ideal Theorem is equivalent, under some weak set-theoretic assumptions, to what I will call the Cut-for-Formulas to Cut-for-Sets Theorem: for a set F and a binary relation |- on Power(F), if |- is finitary, monotonic, and satisfies cut for formulas, then it also satisfies cut for sets. I deduce the CF/CS Theorem from the Ultrafilter Theorem twice; each proof uses a different order-theoretic variant of the Tukey- Teichmüller Lemma. I (...) then discuss relationships between various cut-conditions in the absence of finitariness or of monotonicity. (shrink)

In recent years, the e ffort to formalize erotetic inferences (i.e., inferences to and from questions) has become a central concern for those working in erotetic logic. However, few have sought to formulate a proof theory for these inferences. To fill this lacuna, we construct a calculus for (classes of) sequents that are sound and complete for two species of erotetic inferences studied by Inferential Erotetic Logic (IEL): erotetic evocation and regular erotetic implication. While an attempt has been made to (...) axiomatize the former in a sequent system, there is currently no proof theory for the latter. Moreover, the extant axiomatization of erotetic evocation fails to capture its defeasible character and provides no rules for introducing or eliminating question-forming operators. In contrast, our calculus encodes defeasibility conditions on sequents and provides rules governing the introduction and elimination of erotetic formulas. We demonstrate that an elimination theorem holds for a version of the cut rule that applies to both declarative and erotetic formulas and that the rules for the axiomatic account of question evocation in IEL are admissible in our system. (shrink)

The interval neutrosophic uncertain linguistic variables can easily express the indeterminate and inconsistent information in real world, and TOPSIS is a very effective decision making method more and more extensive applications. In this paper, we will extend the TOPSIS method to deal with the interval neutrosophic uncertain linguistic information, and propose an extended TOPSIS method to solve the multiple attribute decision making problems in which the attribute value takes the form of the interval neutrosophic uncertain linguistic variables and attribute (...) weight is unknown. Firstly, the operational rules and properties for the interval neutrosophic variables are introduced. Then the distance between two interval neutrosophic uncertain linguistic variables is proposed and the attribute weight is calculated by the maximizing deviation method, and the closeness coefficients to the ideal solution for each alternatives. Finally, an illustrative example is given to illustrate the decision making steps and the effectiveness of the proposed method. (shrink)

In this essay we collect and put together a number of ideas relevant to the under- standing of the phenomenon of creativity, confining our considerations mostly to the domain of cognitive psychology while we will, on a few occasions, hint at neuropsy- chological underpinnings as well. In this, we will mostly focus on creativity in science, since creativity in other domains of human endeavor have common links with scientific creativity while differing in numerous other specific respects. We begin by briefly (...) introducing a few basic notions relating to cognition, among which the notion of ‘concepts’ is of basic relevance. The myriads of concepts lodged in our mind constitute a ‘conceptual space’ of an enormously complex structure, where con- cepts are correlated by beliefs that are themselves made up of concepts and are as- sociated with emotions. The conceptual space, moreover, is perpetually in a state of dynamic evolution that is once again of a complex nature. A major component of the dynamic evolution is made up of incessant acts of inference, where an inference occurs essentially by means of a succession of correlations among concepts set up with beliefs and heuristics, the latter being beliefs of a special kind, namely, ones relatively free of emotional associations and possessed of a relatively greater degree of justification. Beliefs, along with heuristics, have been described as the ‘mind’s software’, and con- stitute important cognitive components of the self-linked psychological resources of an individual. The self is the psychological engine driving all our mental and physical activity, and is in a state of ceaseless dynamics resulting from one’s most intimate ex- periences of the world accumulating in the course of one’s journey through life. Many of our psychological resources are of a dual character, having both a self-linked and a shared character, the latter being held in common with larger groups of people and imbibed from cultural inputs. We focus on the privately held self-linked beliefs of an individual, since these are presumably of central relevance in making possible inductive inferences – ones in which there arises a fundamental need of adopting a choice or making a decision. Beliefs, decisions, and inferences, all have the common link to the self of an individual and, in this, are fundamentally analogous to free will, where all of these have an aspect of non-determinism inherent in them. Creativity involves a major restructuring of the conceptual space where a sustained inferential process eventually links remote conceptual domains, thereby opening up the possibility of a large number of new correlations between remote concepts by a cascading process. Since the process of inductive inference depends crucially on de- cisions at critical junctures of the inferential chain, it becomes necessary to examine the basic mechanism underlying the making of decisions. In the framework that we attempt to build up for the understanding of scientific creativity, this role of decision making in the inferential process assumes central relevance. With this background in place, we briefly sketch the affect theory of decisions. Affect is an innate system of response to perceptual inputs received either from the exter- nal world or from the internal physiological and psychological environment whereby a positive or negative valence gets associated with a perceptual input. Almost every sit- uation faced by an individual, even one experienced tacitly, i.e., without overt aware-ness, elicits an affective response from him, carrying a positive or negative valence that underlies all sorts of decision making, including ones carried out unconsciously in inferential processes. Referring to the process of inferential exploration of the conceptual space that gener- ates the possibility of correlations being established between remote conceptual do- mains, such exploration is guided and steered at every stage by the affect system, analogous to the way a complex computer program proceeds through junctures where the program ascertains whether specified conditions are met with by way of generating appropriate numerical values – for instance, the program takes different routes, depending on whether some particular numerical value turns out to be positive or negative. The valence generated by the affect system in the process of adoption of a choice plays a similar role which therefore is of crucial relevance in inferential processes, especially in the exploration of the conceptual space where remote domains need to be linked up – the affect system produces a response along a single value dimension, resembling a number with a sign and a magnitude. While the affect system plays a guiding role in the exploration of the conceptual space, the process of exploration itself consists of the establishment of correlations between concepts by means of beliefs and heuristics, the self-linked ones among the latter having a special role in making possible the inferential journey along alternative routes whenever the shared rules of inference become inadequate. A successful access to a remote conceptual domain, necessary for the creative solution of a standing problem or anomaly – one that could not be solved within the limited domain hitherto accessed – requires a phase of relatively slow cumulative search and then, at some stage, a rapid cascading process when a solution is in sight. Representing the conceptual space in the form of a complex network, the overall process can be likened to one of self-organized criticality commonly observed in the dynamical evolution of complex systems. In order that inferential access to remote domains may actually be possible, it is necessary that restrictions on the exploration process – necessary for setting the context in ordinary instances of inductive inference – be relaxed and a relatively free exploration in a larger conceptual terrain be made possible. This is achieved by the mind going into the default mode, where external constraints – ones imposed by shared beliefs and modes of exploration – are made inoperative. While explaining all these various aspects of the creative process, we underline the supremely important role that analogy plays in it. Broadly speaking, analogy is in the nature of a heuristic, establishing correlations between concepts. However, analo- gies are very special in that these are particularly effective in establishing correlations among remote concepts, since analogy works without regard to the contiguity of the concepts in the conceptual space. In establishing links between concepts, analogies have the power to light up entire terrains in the conceptual space when a rapid cas- cading of fresh correlations becomes possible. The creative process occurs within the mind of a single individual or of a few closely collaborating individuals, but is then continued by an entire epistemic community, eventually resulting in a conceptual revolution. Such conceptual revolutions make pos- sible the radical revision of scientific theories whereby the scope of an extant theory is broadened and a new theoretical framework makes its appearance. The emerging theory is characterized by a certain degree of incommensurability when compared with the earlier one – a feature that may appear strange at first sight. But incommen- surability does not mean incompatibility and the apparently contrary features of the relation between the successive theories may be traced to the multi-layered structureof the conceptual space where concepts are correlated not by means of single links but by multiple ones, thereby generating multiple layers of correlation, among which some are retained and some created afresh in a conceptual restructuring. We conclude with the observation that creativity occurs on all scales. Analogous to correlations being set up across domains in the conceptual space and new domains being generated, processes with similar features can occur within the confines of a domain where a new layer of inferential links may be generated, connecting up sub- domains. In this context, insight can be looked upon as an instance of creativity within the confines of a domain of a relatively limited extent. (shrink)

During multiple testing, researchers often adjust their alpha level to control the familywise error rate for a statistical inference about a joint union alternative hypothesis (e.g., “H1,1 or H1,2”). However, in some cases, they do not make this inference. Instead, they make separate inferences about each of the individual hypotheses that comprise the joint hypothesis (e.g., H1,1 and H1,2). For example, a researcher might use a Bonferroni correction to adjust their alpha level from the conventional level of 0.050 (...) to 0.025 when testing H1,1 and H1,2, find a significant result for H1,1 (p < 0.025) and not for H1,2 (p > .0.025), and so claim support for H1,1 and not for H1,2. However, these separate individual inferences do not require an alpha adjustment. Only a statistical inference about the union alternative hypothesis “H1,1 or H1,2” requires an alpha adjustment because it is based on “at least one” significant result among the two tests, and so it refers to the familywise error rate. Hence, an inconsistent correction occurs when a researcher corrects their alpha level during multiple testing but does not make an inference about a union alternative hypothesis. In the present article, I discuss this inconsistent correction problem, including its reduction in statistical power for tests of individual hypotheses and its potential causes vis-à-vis error rate confusions and the alpha adjustment ritual. I also provide three illustrations of inconsistent corrections from recent psychology studies. I conclude that inconsistent corrections represent a symptom of statisticism, and I call for a more nuanced inference-based approach to multiple testing corrections. (shrink)

Boolean-valued models of set theory were independently introduced by Scott, Solovay and Vopěnka in 1965, offering a natural and rich alternative for describing forcing. The original method was adapted by Takeuti, Titani, Kozawa and Ozawa to lattice-valued models of set theory. After this, Löwe and Tarafder proposed a class of algebras based on a certain kind of implication which satisfy several axioms of ZF. From this class, they found a specific 3-valued model called PS3 which satisfies all the (...) axioms of ZF, and can be expanded with a paraconsistent negation *, thus obtaining a paraconsistent model of ZF. The logic (PS3 ,*) coincides (up to language) with da Costa and D'Ottaviano logic J3, a 3-valued paraconsistent logic that have been proposed independently in the literature by several authors and with different motivations such as CluNs, LFI1 and MPT. We propose in this paper a family of algebraic models of ZFC based on LPT0, another linguistic variant of J3 introduced by us in 2016. The semantics of LPT0, as well as of its first-order version QLPT0, is given by twist structures defined over Boolean agebras. From this, it is possible to adapt the standard Boolean-valued models of (classical) ZFC to twist-valued models of an expansion of ZFC by adding a paraconsistent negation. We argue that the implication operator of LPT0 is more suitable for a paraconsistent set theory than the implication of PS3, since it allows for genuinely inconsistent sets w such that [(w = w)] = 1/2 . This implication is not a 'reasonable implication' as defined by Löwe and Tarafder. This suggests that 'reasonable implication algebras' are just one way to define a paraconsistent set theory. Our twist-valued models are adapted to provide a class of twist-valued models for (PS3,*), thus generalizing Löwe and Tarafder result. It is shown that they are in fact models of ZFC (not only of ZF). (shrink)

In this paper we consider the logics L(i,n) obtained from the (n+1)-valued Lukasiewicz logics L(n+1) by taking the order filter generated by i/n as the set of designated elements. In particular, the conditions of maximality and strong maximality among them are analyzed. We present a very general theorem that provides sufficient conditions for maximality between logics. As a consequence of this theorem, it is shown that L(i,n) is maximal w.r.t. CPL whenever n is prime. Concerning strong maximality (i.e. maximality (...) w.r.t. rules instead of only axioms), we provide algebraic arguments in order to show that the logics L(i,n) are not strongly maximal w.r.t. CPL, even for n prime. Indeed, in such case, we show that there is just one extension between L(i,n) and CPL obtained by adding to L(i,n) a kind of graded explosion rule. Finally, using these results, we show that the logics L(i,n) with n prime and i/n < 1/2 are ideal paraconsistent logics. (shrink)

El objetivo de este artículo es presentar una demostración de un teorema clásico sobre álgebras booleanas y ordenes parciales de relevancia actual en teoría de conjuntos, como por ejemplo, para aplicaciones del método de construcción de modelos llamado “forcing” (con álgebras booleanas completas o con órdenes parciales). El teorema que se prueba es el siguiente: “Todo orden parcial se puede extender a una única álgebra booleana completa (salvo isomorfismo)”. Donde extender significa “sumergir densamente”. Tal demostración se realiza utilizando cortaduras de (...) Dedekind siguiendo el texto “Set Theory” de Jech, y otras ideas propias del autor de este artículo. Adicionalmente, se formulan algunas versiones débiles del axioma de elección relacionadas con las álgebras booleanas, las cuales son también de gran importancia para la investigación en teoría de conjuntos y teoría de modelos, pues estas son poderosas técnicas de construcción de modelos, como por ejemplo, el teorema de compacidad (permite construir modelos no estándar, etc) y el teorema del ultrafiltro, que permite construir ultraproductos (pueden ser usados para investigar problemas de cardinales grandes, etc). Se presentan algunas referencias de problemas abiertos sobre el tema. -/- The objective of this paper is to present a demonstration of a classical theorem on boolean algebras and partial orders of current relevance in set theory, as for example, for applications of model construction method called forcing" (with boolean algebras complete or with partial orders). The theorem to be proved is as follows: Any partial order can be extended to a single complete boolean algebra (up to isomorphism)". Where to extend means embed densely". Such a demonstration is done using Dedekind's cuts following the text Set Theory" of Jech, and other ideas of the author of this article. In addition, some weak versions of the axiom of choice related to boolean algebras are formulated, which are also of great importance for the research in set theory and model theory, since this are powerful model construction techniques, such as the compactness theorem (allows the construction of non-standard models, etc.) and the ultralter theorem, which allows the construction of ultraproducts (can be used to investigate problems of large cardinals, etc). Some references of open problems on the subject are presented. (shrink)

Particular persons have claims against being made worse off than they could have been. The literature, however, has focused primarily on only two-option cases; yet, these cases fail to capture all of the morally relevant factors, especially when a person’s existence is in question. This paper explores how to assess claims in multiple-option choice sets. We scrutinize the only extant proposal, offered by Michael Otsuka, which we call the Weakening View. In light of its problems, we develop an (...) class='Hi'>alternative: the Combining View. The Weakening View holds that a person’s claim against a loss of well-being relative to one distribution is weakened by the availability of further alternatives relative to which the person gains well-being. By contrast, our view holds that a person has an overall claim for or against a certain distribution relative to the whole option set, where overall claims are second-order functions of the different pairwise claims. Finally, we defend the Combining View by exploring its implications for the impact of a person’s possible non-existence on their overall claims, and we develop a proposal for how the number of distributions relative to which a person gains or loses welfare influences the strength of their overall claims. (shrink)

The present first part about the eventual completeness of mathematics (called “Hilbert mathematics”) is concentrated on the Gödel incompleteness (1931) statement: if it is an axiom rather than a theorem inferable from the axioms of (Peano) arithmetic, (ZFC) set theory, and propositional logic, this would pioneer the pathway to Hilbert mathematics. One of the main arguments that it is an axiom consists in the direct contradiction of the axiom of induction in arithmetic and the axiom of infinity in set theory. (...) Thus, the pair of arithmetic and set are to be similar to Euclidean and non-Euclidean geometries distinguishably only by the Fifth postulate now, i.e. after replacing it and its negation correspondingly by the axiom of finiteness (induction) versus that of finiteness being idempotent negations to each other. Indeed, the axiom of choice, as far as it is equivalent to the well-ordering “theorem”, transforms any set in a well-ordering either necessarily finite according to the axiom of induction or also optionally infinite according to the axiom of infinity. So, the Gödel incompleteness statement relies on the logical contradiction of the axiom of induction and the axiom of infinity in the final analysis. Nonetheless, both can be considered as two idempotent versions of the same axiom (analogically to the Fifth postulate) and then unified after logicism and its inherent intensionality since the opposition of finiteness and infinity can be only extensional (i.e., relevant to the elements of any set rather than to the set by itself or its characteristic property being a proposition). So, the pathway for interpreting the Gödel incompleteness statement as an axiom and the originating from that assumption for “Hilbert mathematics” accepting its negation is pioneered. A much wider context relevant to realizing the Gödel incompleteness statement as a metamathematical axiom is consistently built step by step. The horizon of Hilbert mathematics is the proper subject in the third part of the paper, and a reinterpretation of Gödel’s papers (1930; 1931) as an apology of logicism as the only consistent foundations of mathematics is the topic of the next second part. (shrink)

The quest for a unified “Theory of Everything” that explains the fundamental nature of the universe has long been a holy grail for scientists and philosophers, dating back to the ancient Greeks’ search for Arche. -/- So far, the mainstream of research on A Theory of Everything primarily focuses on the lifeless phenomena and laws of physics while ignores the realm of biology. However, a fundamentally different approach to the ToE has been put forward, presenting a viable alternative to (...) address the challenge of a Theory of Everything. This approach does not seek the ultimate “building block” but rather aims to uncover the intangible rules that fundamentally govern everything in the universe, seeking their universality across the vast spectrum, from the minute subatomic world to the mega mass cosmic world and the magical biological world. -/- To address the challenge, a set of the fundamental interrelationships is introduced and represented by a model, the Fundamental Interrelationships Model. This model cohesively represents these fundamental interrelationships, including serial-parallel relationships, transition of state, critical point, continuation-discontinuation, convergence-divergence, contraction-expansion, singularity-plurality, commonality-difference, similarity, symmetry-asymmetry, periodicity, dynamics-stability, order-disorder, limitation-without limitation, hierarchical structure, and cohesive interconnectedness. These interrelationships, found in nature, can be interpreted as the fundamental laws of physics. -/- Built on the foundation of the Fundamental Interrelationships Model, a collection of the well-established laws of physics and theories are represented and unified, including Newton’s three laws of motion, the four laws of thermodynamics, Einstein’s space-time relationship, Heisenberg’s uncertainty principle, Noether’s theorem, Schrodinger’s wave function collapse, chaos theory and complexity theory. The list continues to grow… Based on this model, a groundbreaking research has, for the first time, put forward a new hypothesis that unifies the Big Bang theory with the evolutionary theory, published in a book in 2022. This research unequivocally demonstrates that the evolution of life also follows the fundamental laws of physics, marking a significant stride toward addressing the longstanding challenge of a comprehensive Theory of Everything. -/- Subsequent studies reveal that the evolution of life (including the evolution of multicellularity), embryonic development, evolution of society (civilisation), and the evolution of the universe all adhere to these fundamental interrelationships. These events are specific expressions of the underlying principles of the Fundamental Interrelationships Model. -/- Ultimately, as a truly all-encompassing theory, the Theory of Everything should not only incorporate non-biological events and the laws of physics but also extend to all facets of life. Thus, unlike most existing candidates, the Fundamental Interrelationships Model offers a comprehensive framework, encompassing both non-biological and living phenomena. Therefore, any hypothesis failing to integrate biology and sociology shouldn’t be considered a comprehensive Theory of Everything -/- This article and the subsequent ones are the abstracts derived from the book, Behind Civilisation/civilization (multiple editions), which represents the culmination of decades of research. The book offers a more comprehensive exploration of how fundamental interrelationships govern all aspect of the universe. -/- . (shrink)

The ontological determination of the movement in its quality of way of Being incessantly moves the critic affirmed to denial it through come to be which affirms new critics, unity of continuities and discontinuities with the previous critic. Therefore, it is important to unveil the material determinations in which are rooted the conception of Being dissociated from Non-being consolidated in insurmountable distinction between Being and Entity in its quality of expression of ideas in an inverted reality, falsely apprehended. Ideally reproduced (...) reality that, nevertheless, allows alternatives corresponding to the realization of aims targeted to satisfy historically determined necessities. The confrontations in the production and reproduction of purposes to guide social relations cross-dress debility of determined and impotent movement to impose determinations to the full virtuosity of immobility that moves the transitory. The difference between Being e Entity conforms in a formal logic deprived from/of contradiction to affirm the development of knowledge in what, in truth, hindered and limit it to remain, reducing the movement to stationary, to what moves to what moves without moving, to what isolate the knowledge of reality, to what detaches idea and material, to what conserves and incarcerates and not to what transform and set free. The treatment conceived as a movement from radical critic brings together the ontological primacy to underpin the root of the constitution of social existence to establish the ontological determinations of the existence to consciousness is stated in Marx – being reaffirmed in Lukács – by affirming that categories are forms of Being, determinations from/of existence. The category of totality, as a result of it, constitute expression of form of Being from reality in movement and synthesis from multiples and mutual determinations of negated diversities in an unitarity which affirm them. Therefore, the dialectical reflexive movement refuses as an ineliminable condition to the movement which affirms to mould identity with unitarity between identity and non-identity or don’t conceive relation of identity with dialectic, with the existence of reality to express a contradiction and incessant transmutation between Being and Non-being. The totality by transmuting itself while remain totality albeit not identical to the previous moment embraces a category to synthesize the unity of diversity. This diversity moved and moving from/by unity contemplates the relation of identity ratio (nowadays totality) between the identity (continuity with the preceding totality) and the non-identity (discontinuity with the preceding totality). To ignore the identity of identity with a non-identity conforms the impotence of category to constitute an expression of existence for not affording the contradiction immanent to the existence of reality moving from transport incessant of Being to come to be which puts itself from Non-being to Being. In short, concomitantly the being is transposed to Non-being to a Being come to be transpose from Non-being to a Being whilst ontological determination is constituted and constitutive of movement. The realization of critic conditioned the self-critic that ontologically determines the denial of self-preservation because it constitutes roots in social conditions that limit the intended transformation through critic. The critique of science as an ideological and material condition of reproduction and realization of capital is not effective with the auto-conservation of Geography for conforming the necessity of conservation of science to be rooted in the conception of distinction idealized by superiority that would affirm the permanence and nullity of transcending the limitations to denial the inhumanity of alienation concomitantly affirm the conditions to recognition of necessities and possibilities oriented to an emancipatory purposes. The progressive compressing of expenditure of time on production and productivity of results in various fields of scientific knowledge – which do not realize strictly in the extent of knowledge or it would be equivalent to affirm the fallacy of isolation and to deny the material and historical determinations that constitutes the quality of form of Being -, expressed in the quality of objective necessity and possibility concomitantly to fragment the form and content of the orientation of aims for investigation and for apprehension of reality. The convergence of the movements above-mentioned conforms the constitution of consensus positivity of complexifying of knowledge, delimitating the conceiving of reality and the supposed objective determinations a priori that constraint the conscious apprehension of necessities and of purposes that manifestate in the immediacy by the quality of developing individual and humankind potentialities of social being. Therefore, the conception of suprahistorical and insuppressible ontological determination depriving from social intentionalities in naturalize the impute of greater speed and complexity with lesser time and size of fragmented reality to be known, strengthening the conditions of inversion of reality. Reversed reality deforms the conscious apprehension of corresponding reduce the humanity of individual and gender social sphere of Being for alienating the necessities and goals of theory and practice, consciously aimed to the development of conditions for impoverishment humanity cross-dress in fallaciously things provided by humanity. Things that would had identity with men humanization obfuscating the unifying the developing of thing in the developing of men in the quality of thing, to conceive the most primary theoretical and practical necessity for the purpose of development of thing as an irrevocable necessity from human activity. The confrontation in the sphere of ideas constitutes itself while conceiving the real and, in this direction, the domination of necessities and purposes of material (re)production of society requires the domination of the categories of space and time as forms of Being of substance in motion. The detachment between Being and Entity conceives the indetermination of the dominant conception of reality that determines the conditions for the reproduction of life and the come to be of individuals and humankind. (shrink)

In his classic book “the Foundations of Statistics” Savage developed a formal system of rational decision making. The system is based on (i) a set of possible states of the world, (ii) a set of consequences, (iii) a set of acts, which are functions from states to consequences, and (iv) a preference relation over the acts, which represents the preferences of an idealized rational agent. The goal and the culmination of the enterprise is a representation theorem: Any preference relation that (...) satisfies certain arguably acceptable postulates determines a (finitely additive) probability distribution over the states and a utility assignment to the consequences, such that the preferences among acts are determined by their expected utilities. Additional problematic assumptions are however required in Savage's proofs. First, there is a Boolean algebra of events (sets of states) which determines the richness of the set of acts. The probabilities are assigned to members of this algebra. Savage's proof requires that this be a σ-algebra (i.e., closed under infinite countable unions and intersections), which makes for an extremely rich preference relation. On Savage's view we should not require subjective probabilities to be σ-additive. He therefore finds the insistence on a σ-algebra peculiar and is unhappy with it. But he sees no way of avoiding it. Second, the assignment of utilities requires the constant act assumption: for every consequence there is a constant act, which produces that consequence in every state. This assumption is known to be highly counterintuitive. The present work contains two mathematical results. The first, and the more difficult one, shows that the σ-algebra assumption can be dropped. The second states that, as long as utilities are assigned to finite gambles only, the constant act assumption can be replaced by the more plausible and much weaker assumption that there are at least two non-equivalent constant acts. The second result also employs a novel way of deriving utilities in Savage-style systems -- without appealing to von Neumann-Morgenstern lotteries. The paper discusses the notion of “idealized agent" that underlies Savage's approach, and argues that the simplified system, which is adequate for all the actual purposes for which the system is designed, involves a more realistic notion of an idealized agent. (shrink)

Bilateralists hold that the meanings of the connectives are determined by rules of inference for their use in deductive reasoning with asserted and denied formulas. This paper presents two bilateral connectives comparable to Prior's tonk, for which, unlike for tonk, there are reduction steps for the removal of maximal formulas arising from introducing and eliminating formulas with those connectives as main operators. Adding either of them to bilateral classical logic results in an incoherent system. One way around this problem is (...) to count formulas as maximal that are the conclusion of reductio and major premise of an elimination rule and to require their removability from deductions. The main part of the paper consists in a proof of a normalisation theorem for bilateral logic. The closing sections address philosophical concerns whether the proof provides a satisfactory solution to the problem at hand and confronts bilateralists with the dilemma that a bilateral notion of stability sits uneasily with the core bilateral thesis. (shrink)

Morally speaking, what should one do when one is morally uncertain? Call this the Moral Uncertainty Question. In this paper, I argue that a non-ideal moral theory provides the best answer to the Moral Uncertainty Question. I begin by arguing for a strong ought-implies-can principle---morally ought implies agentially can---and use that principle to clarify the structure of a compelling non-ideal moral theory. I then describe the ways in which one's moral uncertainty affects one's moral prescriptions: moral uncertainty constrains (...) the set of moral prescriptions one is subject to, and at the same time generates new non-ideal moral reasons for action. I end by surveying the problems that plague alternative answers to the Moral Uncertainty Question, and show that my preferred answer avoids most of those problems. (shrink)

Rosenkranz (2021) devised two bimodal epistemic logics: an idealized one and a realistic one. The former is shown to be sound with respect to a class of neighborhood frames called i-frames. Rosenkranz designed a specific i-frame able to invalidate a series of undesired formulas, proving that these are not theorems of the idealized logic. Nonetheless, an unwanted formula and an unwanted rule of inference are not invalidated. Invalidating the former guarantees the distinction between the two modal operators characteristic of the (...) logic, while invalidating the latter is crucial in order to deal with the problem of logical omniscience. In this paper, I present an i-frame able to invalidate all the undesired formulas already invalidated by Rosenkranz, together with the missing formula and rule of inference. (shrink)

Van Fraassen’s (1989) infamous best of a bad lot objection is widely taken to be the most serious problem that afflicts theories of inference to the best explanation (IBE), for it alleges to show that we should not accept the conclusion of any case of such reasoning as it actually proceeds. Moreover, this is supposed to be the case irrespective of the details of the particular criteria used to select best explanations. The best of a bad lot objection is predicated (...) on, and really only requires, the idea that in any real case of IBE where one hypothesis is favored as best over those with which it competes, it is always the case that it is more likely that the true explanation is to be found in the set of unformulated and unconsidered logical alternatives to the set of actually considered hypotheses. On this basis, Van Fraassen believes that accepting the conclusion of IBEs so understood is irrational and this is simply because such inferences are supposedly not probative. In this paper the best of a bad lot objection will be addressed and it will be shown that Van Fraassen’s notorious criticism of IBE depends on a problematic conflation of two notions of rationality and thus that his criticism of IBE involves a damning equivocation. In essence, he conflates ideal standards of rationality with epistemic standards of rationality and, in so doing, makes it appear to be the case that we should not accept the conclusions of IBEs. But, when we disambiguate the concepts of rationality at work in the argument Van Fraassen’s conclusion simply does not follow. (shrink)

In this paper, multi attribute decision making problem based on grey relational analysis in neutrosophic cubic set environment is investigated. In the decision making situation, the attribute weights are considered as single valued neutrosophic sets. The neutrosophic weights are converted into crisp weights. Both positve and negative GRA coefficients, and weighted GRA coefficients are determined. Hamming distances for weighted GRA coefficients and standard (ideal) GRA coefficients are determined. The relative closeness coefficients are derived in order to rank the alternatives. (...) The relative closeness coefficients are designed in ascending order. Finally, a numerical example is solved to demonstrate the applicability of the proposed approach. (shrink)

Encouraging people to consider multiple alternatives appears to be a useful debiasing technique for reducing many biases (explanation, hindsight, and overconfidence), if the generation of alternatives is experienced as easy. The present research tests whether these alternative generation procedures induce a mental simulation mind-set (cf. Galinsky & Moskowitz, 2000), such that debiasing in one domain transfers to debias judgments in unrelated domains. The results indeed demonstrated that easy alternative generation tasks not only debiased judgments in the same (...) domain but also generalized to debias judgments in unrelated domains, provided that participants were low in the need for structure. The alternative generation tasks (even when they were easy to perform) showed no evidence of activating a mental simulation mind-set in individuals high in need for structure, as these individuals displayed no transfer effects. Implications of the results for understanding the role of the need for structure, ease of generation, and mental simulation mind-set activation for debiasing are discussed. (shrink)

The paper discusses Hilbert mathematics, a kind of Pythagorean mathematics, to which the physical world is a particular case. The parameter of the “distance between finiteness and infinity” is crucial. Any nonzero finite value of it features the particular case in the frameworks of Hilbert mathematics where the physical world appears “ex nihilo” by virtue of an only mathematical necessity or quantum information conservation physically. One does not need the mythical Big Bang which serves to concentrate all the violations of (...) energy conservation in a “safe”, maximally remote point in the alleged “beginning of the universe”. On the contrary, an omnipresent and omnitemporal medium obeying quantum information conservation rather than energy conservation permanently generates action and thus the physical world. The utilization of that creation “ex nihilo” is accessible to humankind, at least theoretically, as long as one observes the physical laws, which admit it in their new and wider generalization. One can oppose Hilbert mathematics to Gödel mathematics, which can be identified as all the standard mathematics until now featureable by the Gödel dichotomy of arithmetic to set theory: and then, “dialectic”, “intuitionistic”, and “Gödelian” mathematics within the former, according to a negative, positive, or zero value of the distance between finiteness and infinity. A mapping of Hilbert mathematics into pseudo-Riemannian space corresponds, therefore allowing for gravitation to be interpreted purely mathematically and ontologically in a Pythagorean sense. Information and quantum information can be involved in the foundations of mathematics and linked to the axiom of choice or alternatively, to the field of all rational numbers, from which the pair of both dual and anti-isometric Peano arithmetics featuring Hilbert arithmetic are immediately inferable. Noether’s theorems (1918) imply quantum information conservation as the maximally possible generalization of the pair of the conservation of a physical quantity and the corresponding Lie group of its conjugate. Hilbert mathematics can be interpreted from their viewpoint also after an algebraic generalization of them. Following the ideas of Noether’s theorem (1918), locality and nonlocality can be realized both physically and mathematically. The “light phase of the universe” can be linked to the gap of mathematics and physics in the Cartesian organization of cognition in Modernity and then opposed to its “dark phase”, in which physics and mathematics are merged. All physical quantities can be deduced from only mathematical premises by the mediation of the most fundamental physical constants such as the speed of light in a vacuum, the Planck and gravitational constants once they have been interpreted by the relation of locality and nonlocality. (shrink)

The previous Part I of the paper discusses the option of the Gödel incompleteness statement (1931: whether “Satz VI” or “Satz X”) to be an axiom due to the pair of the axiom of induction in arithmetic and the axiom of infinity in set theory after interpreting them as logical negations to each other. The present Part II considers the previous Gödel’s paper (1930) (and more precisely, the negation of “Satz VII”, or “the completeness theorem”) as a necessary condition for (...) granting the Gödel incompleteness statement to be a theorem just as the statement itself, to be an axiom. Then, the “completeness paper” can be interpreted as relevant to Hilbert mathematics, according to which mathematics and reality as well as arithmetic and set theory are rather entangled or complementary rather than mathematics to obey reality able only to create models of the latter. According to that, both papers (1930; 1931) can be seen as advocating Russell’s logicism or the intensional propositional logic versus both extensional arithmetic and set theory. Reconstructing history of philosophy, Aristotle’s logic and doctrine can be opposed to those of Plato or the pre-Socratic schools as establishing ontology or intensionality versus extensionality. Husserl’s phenomenology can be analogically realized including and particularly as philosophy of mathematics. One can identify propositional logic and set theory by virtue of Gödel’s completeness theorem (1930: “Satz VII”) and even both and arithmetic in the sense of the “compactness theorem” (1930: “Satz X”) therefore opposing the latter to the “incompleteness paper” (1931). An approach identifying homomorphically propositional logic and set theory as the same structure of Boolean algebra, and arithmetic as the “half” of it in a rigorous construction involving information and its unit of a bit. Propositional logic and set theory are correspondingly identified as the shared zero-order logic of the class of all first-order logics and the class at issue correspondingly. Then, quantum mechanics does not need any quantum logics, but only the relation of propositional logic, set theory, arithmetic, and information: rather a change of the attitude into more mathematical, philosophical, and speculative than physical, empirical and experimental. Hilbert’s epsilon calculus can be situated in the same framework of the relation of propositional logic and the class of all mathematical theories. The horizon of Part III investigating Hilbert mathematics (i.e. according to the Pythagorean viewpoint about the world as mathematical) versus Gödel mathematics (i.e. the usual understanding of mathematics as all mathematical models of the world external to it) is outlined. (shrink)

In a previous paper, an elementary and thoroughly arithmetical proof of Fermat’s last theorem by induction has been demonstrated if the case for “n = 3” is granted as proved only arithmetically (which is a fact a long time ago), furthermore in a way accessible to Fermat himself though without being absolutely and precisely correct. The present paper elucidates the contemporary mathematical background, from which an inductive proof of FLT can be inferred since its proof for the case for “n (...) = 3” has been known for a long time. It needs “Hilbert mathematics”, which is inherently complete unlike the usual “Gödel mathematics”, and based on “Hilbert arithmetic” to generalize Peano arithmetic in a way to unify it with the qubit Hilbert space of quantum information. An “epoché to infinity” (similar to Husserl’s “epoché to reality”) is necessary to map Hilbert arithmetic into Peano arithmetic in order to be relevant to Fermat’s age. Furthermore, the two linked semigroups originating from addition and multiplication and from the Peano axioms in the final analysis can be postulated algebraically as independent of each other in a “Hamilton” modification of arithmetic supposedly equivalent to Peano arithmetic. The inductive proof of FLT can be deduced absolutely precisely in that Hamilton arithmetic and the pransfered as a corollary in the standard Peano arithmetic furthermore in a way accessible in Fermat’s epoch and thus, to himself in principle. A future, second part of the paper is outlined, getting directed to an eventual proof of the case “n=3” based on the qubit Hilbert space and the Kochen-Specker theorem inferable from it. (shrink)

The paper studies a cluster of systems for fully disquotational truth based on the restriction of initial sequents. Unlike well-known alternative approaches, such systems display both a simple and intuitive model theory and remarkable proof-theoretic properties. We start by showing that, due to a strong form of invertibility of the truth rules, cut is eliminable in the systems via a standard strategy supplemented by a suitable measure of the number of applications of truth rules to formulas in derivations. Next, (...) we notice that cut remains eliminable when suitable arithmetical axioms are added to the system. Finally, we establish a direct link between cut-free derivability in infinitary formulations of the systems considered and fixed-point semantics. Noticeably, unlike what happens with other background logics, such links are established without imposing any restriction to the premisses of the truth rules. (shrink)

In the first part of this investigation we highlight two, seemingly irreconcilable, beliefs that suggest an impending crisis in the teaching, research, and practice of—primarily state-supported—mathematics: (a) the belief, with increasing, essentially faith-based, conviction and authority amongst academics that first-order Set Theory can be treated as the lingua franca of mathematics, since its theorems—even if unfalsifiable—can be treated as ‘knowledge’ because they are finite proof sequences which are entailed finitarily by self-evidently Justified True Beliefs; and (b) the slowly emerging, but (...) powerfully rooted in economic imperatives, belief that only those Justified True Beliefs can be treated as ‘knowledge’ which are, further, categorically communicable as Factually Grounded Beliefs—hence as comprehensible pre-formal ‘mathematical truths’—by any intelligence that lays claims to a mathematical lingua franca. We argue that this seeming irreconcilability merely reflects a widening chasm between an increasing under-estimation of the value to society of ‘semantic arithmetical truth’, and an increasing over-estimation of the value to society of ‘syntactic set-theoretical provability’; a chasm which must be narrowed and bridged explicitly. We thus proffer a Complementarity Thesis which seeks to recognize that mathematical ‘provability’ and mathematical ‘truth’ need to be interdependent and complementary, ‘evidence-based’, assignments-by-convention to the formulas of a formal mathematical language; where (a) the goal of mathematical ‘proofs’ may be viewed as seeking to ensure that any mathematical language intended to formally represent our pre-formal conceptual metaphors and their inter-relatedness is unambiguous, and free from contradiction; whilst (b) the goal of mathematical ‘truths’ must be viewed as seeking to ensure that any such representation does, indeed, uniquely identify and adequately represent such metaphors and their inter-relatedness. Our thesis is that, by universally ignoring the need to introduce goal (b) in our curriculum, the teaching of, and research in, mathematics at the post-graduate level cannnot justify its value to society beyond the mere intellectual stimulation of individual minds. In the second part we appeal to some recent—and hitherto unsuspected—unarguably constructive Tarskian interpretations, of the first-order Peano Arithmetic PA, which establish PA as both finitarily consistent, and categorical. Since we also show that the second order subsystem ACA0 of Peano Arithmetic and PA cannot both be assumed provably consistent, we conclude that there can be no mathematical, or meta-mathematical, proof of consistency for Set Theory. Hence the theorems of any Set Theory are not sufficient for distinguishing between (i) what we can believe to be a ‘mathematical truth’; (ii) what we can evidence as a ‘mathematical truth’; and (iii) what we ought not to believe is a ‘mathematical truth’; whilst the theorems of the first-order Peano Arithmetic PA are sufficient for distinguishing between (i), (ii) and (iii). We conclude from this that the holy grail of mathematics ought to be ‘arithmetical truth’, not ‘set-theoretical proof’. (shrink)

A computational methodology called Grossone Infinity Computing introduced with the intention to allow one to work with infinities and infinitesimals numerically has been applied recently to a number of problems in numerical mathematics (optimization, numerical differentiation, numerical algorithms for solving ODEs, etc.). The possibility to use a specially developed computational device called the Infinity Computer (patented in USA and EU) for working with infinite and infinitesimal numbers numerically gives an additional advantage to this approach in comparison with traditional methodologies studying (...) infinities and infinitesimals only symbolically. The grossone methodology uses the Euclid’s Common Notion no. 5 ‘The whole is greater than the part’ and applies it to finite, infinite, and infinitesimal quantities and to finite and infinite sets and processes. It does not contradict Cantor’s and non-standard analysis views on infinity and can be considered as an applied development of their ideas. In this paper we consider infinite series and a particular attention is dedicated to divergent series with alternate signs. The Riemann series theorem states that conditionally convergent series can be rearranged in such a way that they either diverge or converge to an arbitrary real number. It is shown here that Riemann’s result is a consequence of the fact that symbol ∞ used traditionally does not allow us to express quantitatively the number of addends in the series, in other words, it just shows that the number of summands is infinite and does not allows us to count them. The usage of the grossone methodology allows us to see that (as it happens in the case where the number of addends is finite) rearrangements do not change the result for any sum with a fixed infinite number of summands. There are considered some traditional summation techniques such as Ramanujan summation producing results where to divergent series containing infinitely many positive integers negative results are assigned. It is shown that the careful counting of the number of addends in infinite series allows us to avoid this kind of results if grossone-based numerals are used. (shrink)

The article deals with the integration of Vietnamese science into the global scientific community in a scientometric aspect. In the course of the study, we have seen that Vietnamese scientists are actively involved in the integration process, in particular in the field of presenting their research in international scientometric databases. It is shown that international integration of science is supported at the state policy level both in the form of directives and in the form of financial support for research. A (...) comparative study of WoS and Scopus international scientometric databases, as well as the regional ACI database and the national V-CitationGate, has determined that the level of Vietnamese scientific journals in these databases is currently low. Regarding the indexing of scientific publications by Vietnamese researchers, there is an annual increase in Vietnamese articles in the international WoS and Scopus databases. Vietnam has the highest trend of increasing the number of articles in these bases in the region. It is determined that the reasons for the increase are directives for applicants for academic degrees and academic titles, requirements of employers of science and education, various types of incentives, requirements of grantors, participation in international projects and cooperation with foreign colleagues. It is found that scientometric measurements of labor productivity are used not only in Vietnam’s scientific institutions, but also actively involved in universities, which strengthen their position not only as educational but also as scientific centers. It is revealed that the educational institutions that have the most publications in international science databases are the Vietnam Academy of Science and Technology and the largest Vietnamese universities. Regarding to the distribution of publications by the fields of knowledge, the science are leading by a large margin, and the amount of the art and humanities among the Vietnamese publications still is very few. (shrink)

This paper explores the implications of viewing science as a biological phenomenon within the framework of evolutionary epistemology. It examines how this perspective introduces features of science that may conflict with the realist viewpoint. The focus is on identifying and analyzing the challenges that evolutionary epistemology poses for scientific realism.

Today, the Internet is a rich source of study materials, and Google Scholar offers free access to a large number of scientific articles. There are excellent research publications available in many more databases. Students have the option of easily copying the material. Reusing, paraphrasing, patchwriting, and ghostwriting without citing the original documents are plagiarism. Plagiarism is increasing in academics, particularly in research. This study aims to study the awareness of plagiarism and to analyze the reasons for plagiarism. The study samples (...) are the student teachers in India. For this study, we used a survey method, and the author prepared a questionnaire to collect data from the student teachers. Study respondents are the student teachers of the Regional Institute of Education Mysore; Purposive sampling was used to select samples. The total number of study respondents is 207. The findings of the study revealed that over 70 per cent of respondents mentioned reasons for plagiarism as lack of relevant literature studying, lack of preparation and time, difficulty checking every piece of work, do not know the manual citation style, lack of knowledge about bibliographic management software and also they stated that getting easily available materials on the internet is also a reason for plagiarism. The study recommends that teachers teach or conduct awareness programs on plagiarism, avoiding plagiarism, citation style, and software. (shrink)

Organizational learning can be described as a transfer of individuals’ cognitive mental models to shared mental models. Employees, seeking the same colleagues for advice, are structurally equivalent, and the aim of the paper is to study if the concept can act as a conduit for organizational learning. It is argued that the mimicking of colleagues’ advice seeking structures will induce structural equivalence and transfer the accuracy of individuals’ cognitive mental models to shared mental models. Taking a dyadic level of analysis (...) authors revisit a classical case and present novel data analyses.The empirical results indicate that the mimicking of advice seeking structures can alter cognitive accuracy. It is discussed the findings’ implications for organization learning theory and practice, addressed the study’s limitations, and suggested avenues for future research. (shrink)

Drawing on Furio Jesi’s 1979 book "Cultura di destra" [Right Wing Culture], this article sketches a preliminary genealogy of fascist accelerationism, a distinct current of white supremacist militancy responsible for a considerable number of North American mass murder events over the span of four decades. After positioning Jesi’s theory of fascist violence within the broader methodological turn of his late period work, the article proceeds to outline three key features of right-wing thought: a language of wordless ideas, a funerary religion (...) of exemplary deaths, and a repertoire of militant yet militarily "useless" tasks. Resisting the tendency either to over- or under-politicize these deadly events, Jesi’s analysis instead allows us recognize the operation of a mythological machine that animates white supremacist mass murders over the past half century. The aim of this article is to trace the genesis and mutation of this machine, with particular emphasis on the period from 1975 to the present. (shrink)

Investments in mitigating climate change have their greatest environmental impact over the long term. As a consequence the incentives to invest in cutting greenhouse gas emissions today appear to be weak. In response to this challenge, there has been increasing attention given to the idea that current generations can be motivated to start financing mitigation at much higher levels today by shifting these costs to the future through national debt. Shifting costs to the future in this way benefits future generations (...) by break- ing existing patterns of delaying large-scale investment in low-carbon energy and efficiency. As we will see in this chapter, it does appear to be technically feasible to transfer the costs of investments made today to the future in such a way that people alive today do not incur any net cost. the aim of this chapter is to take seriously the possibility that climate change has produced an extremely intractable political problem and that we must now consider strong measures that can break existing patterns of delaying mitigation. I defend the claim that if climate change involves a stark conflict of interests between current and future generations, then borrowing from the future would be both strategically and normatively much better than the status quo. Nevertheless, I challenge the borrowing from the future proposal on the grounds that it is not in fact the powerful tool for motivating existing agents that its proponents imagine it to be. The purpose of developing this critical argument is not, however, simply to throw doubt onto the idea of borrowing from the future. If we really do find ourselves in a political context where the prospects for effective action are very poor then strategic forms of buck-passing may make an important positive contribution to avoiding dangerous global cli- mate change. Consequently, if debt financing is not as powerful of a motivational tool as imagined we still have strong reasons, I will argue, to identify other strategies that will change agents’ incentive structures. To this end, I propose an alternative form of passing on the costs of mitigation to the future that warrants consideration. (shrink)

Abstract: Online book review platforms generate vast user data, making accurate rating prediction crucial for personalized recommendations. This research explores neural networks as simple models for predicting book ratings without complex algorithms. Our novel approach uses neural networks to predict ratings solely from user-book interactions, eliminating manual feature engineering. The model processes data, learns patterns, and predicts ratings. We discuss data preprocessing, neural network design, and training techniques. Real-world data experiments show the model's effectiveness, surpassing traditional methods. This research can (...) enhance user experience, book catalog organization, and aid publishers, simplifying recommendation processes and providing tailored suggestions based on user preferences. (shrink)

In this article, we engage with a theory of management advanced by MacIntyrean scholars of business ethics and organization studies to develop an account of “chronic moral injury” in the workplace. In contrast to what we call “acute moral injury,” which focuses on grave, traumatic events, chronic moral injury results from poor institutional form—when an individual desiring excellence must function within a vicious institution that impedes the acquisition of virtues and marginalizes practices. In other words, chronic moral injury occurs when (...) practitioners who pursue excellence in their practice work within corrupt or malformed organizations. To demonstrate this point, we recount the events associated with the rise and fall of the biotech company, Theranos. This case study advances an empirical contribution to MacIntyrean studies by demonstrating how chronic moral injury can happen under such conditions and what the negative consequences may entail for workers. (shrink)

The World Economic Forum notes that there is an economic gap between Indonesia and Malaysia every year as seen from GDP per capita. The economic disparity between the two countries caused differences in available employment opportunities. Limited employment opportunities in Indonesia cause an increase in unemployment in Indonesia. The high unemployment rate in West Kalimantan is the main cause of the migration of Indonesians to Malaysia with the aim of carrying out economic and trade activities in the Serikin Market which (...) is located in Sarawak, East Malaysia. The market only takes about 15 minutes from the Jagoi Babang. This study used primary data collected by using in-depth interview and observation techniques which was analyzed qualitatively. The study found that in general the migration patterns of Indonesian traders who traded in the Serikin Market practiced non-permanent mobility patterns. The opportunities of cross-border trade carried out by Indonesian traders are reducing unemployment, facilitating product marketing, increasing income. While the challenges faced are the inadequacy of the road infrastructure, the quality of merchandise that is not good, the unavailability of lodging for Indonesian traders in the border area of Jagoi Babang, shop rental prices are relatively expensive. Basically, this research is to provide empirical data regarding to opportunities and challenges of cross-border traders that will be able to be used for future research related to strategies in managing cross-border trade Hopefully, this research will contribute significantly to generate an effective migration policy in order to minimize transnational crimes. (shrink)

Human nature is a puzzling matter that must be analysed through a holistic lens. In this commentary, I foray into anthropology's biosocial dimensions to underscore that human relations span from microorganisms to global commodities. I argue that the future of social-cultural anthropology depends on the integration of evolutionary theory for its advancement. Ultimately, since the likelihood of novel zoonoses' emergence, digital ethnography could offer remarkable opportunities for ethical and responsible inquiries.

John McDowell and Bill Brewer famously defend the view that one can only have empirical beliefs if one’s perceptual experiences serve as reasons for such beliefs, where reasons are understood in terms of subject’s reasons. In this paper I show, first, that it is a consequence of the adoption of such a requirement for one to have empirical beliefs that children as old as 3 years of age have to considered as not having genuine empirical beliefs at all. But we (...) have strong reasons to think that 3-year-old children have empirical beliefs, or so I argue. If this is the case, McDowell and Brewer’s requirement for one to have empirical beliefs faces a strong challenge. After showing this, I propose an alternative requirement for one to have empirical beliefs, and argue that it should be favoured over McDowell and Brewer’s requirement. (shrink)

Aims: The purpose of this study is to identify the factors associated with the academic performance of Grade 10 students during their First Quarter of school as well as the significant correlation between the factors and student academic performance in Mathematics. -/- Study Design: Descriptive Correlation Design. -/- Place and Duration of Study: The study was conducted at Agusan National High School in Cagayan de Or City's East 1 District during the school year: 2022 – 2023. -/- Methodology: The respondents (...) were Two hundred thirty-one (231) students in Grade 10 at Agusan National High School in Cagayan de Oro City's East 1 District. This study used a researcher-made questionnaire that underwent validity and reliability testing and the academic performance of the students. -/- Results: The results showed that students agree with routines related to mastering Mathematics at a high level. Furthermore, there is no correlation between student study habits and Mathematics performance in terms of self-confidence, but there is a substantial positive association between the student's study habits and performance in terms of attitude. The study habits and learning techniques used by students were found to be important determinants of how well they performed in Mathematics. The researcher strongly suggested using the enhancement plan in teaching Mathematics to Junior High school students. -/- Conclusion: Students have a very positive attitude toward their study habits when learning Mathematics. Students felt that studying and learning Mathematics was essential. Students' success and academic growth depend heavily on their Mathematics performance. It is essential for pupils to master and comprehend its concepts. Students' study habits in terms of attitudes have an impact on how they learn Mathematics. (shrink)

Broadly speaking, two views of modernity are prevalent in contemporary debates. According to the first view, i.e. “modernization theory,” there is one single form of modernity, which is tantamount to liberal, capitalist modernity. The West has already and fully achieved modernity; non-Western societies have lagged behind and must simply catch up with the West. In contrast, according to the second view, “post-colonial theory,” there is no such thing as modernity. What the West erroneously calls “modernity” is nothing but a highly (...) parochial way of thought, and of economic and political organization, that developed by accident first in the West and then by the exercise of military violence or economic power was subsequently “universalized.” In this chapter, I argue that Hegel, read properly, provides a third conception of modernity, one which, contrary to the modernization theory, respects differences between societies, and yet, contrary to post-colonial theory, does not engage in dividing the human species into fundamentally different or incommensurate groups. I argue that Hegel’s theory of modernity must be sought at the conjunction of the Science of Logic (specifically the logic of the Concept) and the Philosophy of Right. I then elaborate on Hegel’s theory of modernity, thus construed. (shrink)

Cultural landscapes represent a complex category where the nature-culture dichotomy seem to not be able to unfold the main features and the profound relations that humans have with the environment. Drawing on ethnographic data collected in the saltpans of Se-ovlje (Slovene Istria) and Janubio (Lanzarote--Canary Islands) this article examines informant`s perceptions about the awareness of the importance and the enhancement of the holistic values of both saltpans, as well as the impacts and benefits of tourism. Comparing these perceptions about both (...) cultural landscapes, I try to suggest that the complex fruitfully relations between humans and nature in these saltpans are at odds with the neoliberal logic of nature which exploit and commoditize its resources depriving them of their respective agency. A sustainability to contrast the harmful activities of the market ought to be understood not as a simply isolation and fencing of nature for the sake of conservation, but as a preservation that need to foster the continuity of the deep interactions between human culture and non-human nature which are the core of the cultural landscapes. (shrink)

It is common for conservationists to refer to non-native species that have undesirable impacts on humans as “invasive”. We argue that the classification of any species as “invasive” constitutes wrongful discrimination. Moreover, we argue that its being wrong to categorize a species as invasive is perfectly compatible with it being morally permissible to kill animals—assuming that conservationists “kill equally”. It simply is not compatible with the double standard that conservationists tend to employ in their decisions about who lives and who (...) dies. (shrink)

Research groups around the world are currently busy trying to invent new life in the laboratory, looking for extraterrestrial life, or making machines increasingly more life-like. In the case of astrobiology, any newly discovered life would likely be very old, but when discovered it would be new to us. In the case of synthetic organic life or life-like machines, humans will have invented life that did not exist before. Together, these endeavors amount to what we call the emerging plurality of (...) lives because we see a future where we are surrounded by, and interact with, life of many different origins, as well as entities that we have not traditionally seen as being alive. In the future these entities will likely possess properties that we so far have only associated with living beings, thereby transcending and perhaps blurring the borders between life and non-life. (shrink)

As physical entities that translate symbols into physical actions, computers offer insights into the nature of meaning and agency. • Physical symbol systems, generically known as agents, link abstractions to material actions. The meaning of a symbol is defined as the physical actions an agent takes when the symbol is encountered. • An agent has autonomy when it has the power to select actions based on internal decision processes. Autonomy offers a partial escape from constraints imposed by direct physical influences (...) such as gravity and the transfer of momentum. Swimming upstream is an example. • Symbols are names that can designate other entities. It appears difficult to explain the use of names and symbols in terms of more primitive functionality. The ability to use names and symbols, i.e., symbol grounding, may be a fundamental cognitive building block. • The standard understanding of causality—wiggling X results in Y wiggling—applies to both physical causes (e.g., one billiard ball hitting another) and symbolic causes (e.g., a traffic light changing color). Because symbols are abstract, they cannot produce direct physical effects. For a symbol to be a cause requires that the affected entity determine its own response. This is called autonomous causality. • This analysis of meaning and autonomy offers new perspectives on free will. (shrink)

This essay discusses the continued importance that religion holds in African life, not only in terms of numbers of believers, but also regarding the varieties of religious experience and its links with politics and the “public sphere(s)”. Coinciding with the wave of democratization and economic liberalization efforts since about 1990, a notable growth of the public presence of religion and its political referents in Africa has been witnessed; alongside “development”, religion will remain a hot issue in the future political trajectory (...) of the continent. Its renewed presence in public spheres has also led to new understandings of what religion means and how it figures into both “world-making” and identity politics. This will prolong the challenges associated with the role and status of religion in the “secular state model” found in most African countries. Can these states, while “besieged” by believers, maintain neutrality among diverse worldviews, and if so, how? The paper discusses these issues in a general manner with reference to African examples, some taken from fieldwork by the author, and makes a philosophical argument for the development of a new kind of “secular state” that can respect the religious commitments of African populations. (shrink)

Religiously inspired violence is a global phenomenon and connects to transnational narratives, necessitating comparative analysis of socio-historical context and patterns of ideological mobilization. Northeast Africa hosts several radical-extremist and terrorist groups, mostly of Muslim persuasion, tuned in to these global narratives while connecting to local interests. Christian radicalism and violence also occur but are less ideologically consistent and less widespread. I examine key aspects of the current role and ideological self-positioning of Islamist radicalism in state contexts, comparing Somalia, affected by (...) Islamist violence since the late 1990s, and Ethiopia, where Islam’s mobilization followed a different path and where the state so far contained politicization and open radicalism of Muslim groups. A brief contrastive case from Nigeria is also provided. It is observed that Islam, while of course not ‘equalling’ violence, easily provides a militant political theology, frequently instrumentalized in conflicts and situations of (perceived) grievance, and via mimetic rivalry then becomes radically ideological. Securitized response patterns of state authorities toward militancy play a role in furthering violent radicalization. I follow a sociological-anthropological approach but also refer to key aspects of national-legal frameworks regarding state and religion, next to societal and political bases of Muslim militant mobilization for collective aims and self-presentation. (shrink)

Since the disintegration of the USSR Eurasia has gained a new geopolitical and strategic significance. Fifteen Countries emerged as a result of disintegration, among which only the Russian Federation was the successor state. The post-soviet era especially the era of the 1990s was a political and economic trauma for the Russian Federation and the post-soviet space. But Eurasianists were well aware of the American unilateralism and American ‘Grand Chessboard strategy” that was solely aimed at encircling Russian geography. With these concerns, (...) the Eurasianists advised the Russian political and military elites to initiate the Eurasian Union Project. This paper briefly sketches the Russian historical Eurasian dream, which deeply rooted in Russian imperial history, and discusses the importance of Eurasian philosophy for the political and economic stability of Russia-Eurasia. The paper also illustrates the challenges and opportunities for Eurasian integration and for the establishment of multipolar world order. Moreover, the paper also briefly outlines the geopolitical rationale behind the Eurasian project as a key objective of contemporary Russian foreign policy and geopolitics. (shrink)

This study aims to identify social media and its relation with depression and how social media affects the mental health of individuals. The general Pakistani public who have attended college and are well educated is the study's target population. This research is based on a quantitative technique. A modified questionnaire was used in accordance with the study's objectives. The data was collected using Google forms. Five-point likert scales were preferred for the data collection when convenience sampling was used. The five-point (...) Likert scale served as the foundation for the survey. The ADANCO software was used to carry out the testing. These tests include the convergent validity, discriminant validity, and Cronbach's alpha reliability and validity tests. ADANCO has been used to measure the path coefficient, adjusted (R2), and coefficient of determination (R2). The confined areas for answers in Pakistan were the main focus of this investigation. The sample size for this study is small relative to the population because it was completed in a short time. The findings of this study show that social media can eventually lead to depression. In this study, the elements that affect mental health by excessive use of social media were examined. Numerous studies have been conducted on the detection of depression by the use of social media through bagging classifiers. We have collected data on the detection of depression through bagging classifiers and have added it to our literature review. (shrink)

The concept and usage of the word 'metric' within General Relativity is briefly described. The early work of Roy Kerr led to his original 1963 algebraic, rotating metric. This discovery and his subsequent recollection in 2008 are summarised as the motivation for this article. Computer algebra has confirmed that nominal transformations of this early metric can generate further natural algebraic metrics. The algebra is not abstract, nor advanced, and these metrics have been overlooked for many years. The 1916 metric due (...) to Schwarzschild misled Kerr into seeking a similar metric for rotation. The philosophy of astrophysics for Penrose, Hawking and others would have been very different had they used the two lost metrics. (shrink)

This paper explores some of the factors that make complex systems complex. We first examine the history of complex systems. It was Aristotle’s insight that how elements are joined together helps determine the properties of the resulting whole. We find (a) that scientific reductionism does not provide a sufficient explanation; (b) that to understand complex systems, one must identify and trace energy flows; and (c) that disproportionate causality, including global tipping points, are all around us. Disproportionate causality results from the (...) wide availability of energy stores. We discuss three categories of emergent phenomena—static, dynamic, and adaptive—and recommend retiring the term emergent, except perhaps as a synonym for creative. Finally, we find that virtually all communication is stigmergic. (shrink)

These days, Thin-client devices are continuously accessing the Internet to perform/receive diversity of services in the cloud. However these devices might either has lack in their capacity (e.g., processing, CPU, memory, storage, battery, resource allocation, etc) or in their network resources which is not sufficient to meet users satisfaction in using Thin-client services. Furthermore, transferring big size of Big Data over the network to centralized server might burden the network, cause poor quality of services, cause long respond delay, and inefficient (...) use of network resources. To solve this issue, Thinclient devices such as smart mobile device should be connected to edge computing which is a localized near to user location and more powerful to perform computing or network resources. In this paper, we introduce a new method that constructs its architecture on Thin-client -edge computing collaboration. Furthermore, present our new strategy for optimizing big data distribution in cloud computing. Moreover, we propose algorithm to allocate resources to meet Service Level Agreement (SLA) and Quality of Service (QoS) requirements. Our simulation result shows that our proposed approach can improve resource allocation efficiently and shows better performance than other existing methods. (shrink)

In this paper, we propose a new hybrid neutrosophic multi criteria decision making (MCDM) framework that employs a collection of neutrosophic analytical network process (ANP), and order preference by similarity to ideal solution (TOPSIS) under bipolar neutrosophic numbers. The MCDM framework is applied for chief executive officer (CEO) selection in a case study at the Elsewedy Electric Group, Egypt. The proposed approach allows us to assemble individual evaluations of the decision makers and therefore perform accurate personnel selection. The outcomes (...) of the proposed method are compared with those of the related works such as weight sum model (WSM), weight product model (WPM), analytical hierarchy process (AHP), multiobjective optimization based on simple ratio analysis (MOORA) and ANP methods to prove and validate the results. (shrink)