Kit Fine has reawakened a puzzle about variables with a long history in analytic philosophy, labeling it “the antinomy of the variable”. Fine suggests that the antinomy demands a reconceptualization of the role of variables in mathematics, natural language semantics, and first-order logic. The difficulty arises because: (i) the variables ‘x’ and ‘y’ cannot be synonymous, since they make different contributions when they jointly occur within a sentence, but (ii) there is a strong temptation to say that (...) distinct variables ‘x’ and ‘y’ are synonymous, since sentences differing by the total, proper substitution of ‘x’ for ‘y’ always agree in meaning. We offer a precise interpretation of the challenge posed by (i) and (ii). We then develop some neglected passages of Tarski to show that his semantics for variables has the resources to resolve the antinomy without abandoning standard compositional semantics. (shrink)

I propose an apparatus for handling intrasentential change in context. The standard approach has problems with sentences with multiple occurrences of the same demonstrative or indexical. My proposal involves the idea that contexts can be complex. Complex contexts are built out of (“simple”) Kaplanian contexts by ordered n-tupling. With these we can revise the clauses of Kaplan’s Logic of Demonstratives so that each part of a sentence is taken in a different component of a complex context. I consider other applications (...) of the framework: to agentially distributed utterances (ones made partly by one speaker and partly by another); to an account of scare-quoting; and to an account of a binding-like phenomenon that avoids what Kit Fine calls “the antinomy of the variable.”. (shrink)

Kant argues in the Critique of the Teleological Power of Judgment that the first stage in resolving the problem of teleology is conceiving it correctly. He explains that the conflict between mechanism and teleology, properly conceived, is an antinomy of the power of judgment in its reflective use regarding regulative maxims, and not an antinomy of the power of judgment in its determining use regarding constitutive principles. The matter in hand does not concern objective propositions regarding the possibility (...) of objects or actual features of certain objects, namely, organisms. It is rather a methodological issue as to the appropriate way to explain the generation, development, and function of organisms. Taken in this manner as subjective maxims guiding the explanation and inquiry of organisms, the principles of mechanism and teleology need not necessarily be seen as contradictorily opposed but instead can be combined in the study of organisms. This, however, is not enough to complete the analysis of the antinomy of the teleological power of judgment. In order to show that there is an antinomy in this case, Kant has to establish that both seemingly conflicting maxims are necessary and natural to the human mind. He does it by grounding them in the ‘special character’ or peculiarity (Eigentümlichkeit) of the human understanding. However, it is not entirely clear just what exactly this peculiarity of the human understanding is. Paul Guyer argues that Kant suggests two different accounts of the peculiarity of the human intellect. According to one account, this peculiarity consists in the fact that our understanding forms general concepts and according to another, in its propensity to proceed from the parts to the whole. I will argue in this paper that Kant puts forward a single account, in which the combination of these two features demonstrate the peculiarity of the human understanding manifested in the encounter with organisms. This account explains the necessity of the regulative maxims of mechanism and teleology, and thus completes Kant’s analysis of the antinomy of the teleological power of judgment. (shrink)

The thesis that existence is radically different from the determinacy of an actually existing thing –Kant considers this thesis to be the unsurmountable objection against the cosmological and the ontological argument– is the same thesis that demands a specific explanation of the existence of that actually existing thing. The notion of existence that results from its complete exclusion from the realm of the contents thoroughgoing determined by real predicates requires, thus, precisely because this thoroughness excludes it, a specific reason that (...) explains that in the actually existing thing its own actual existence is in fact united with its own determinacy; that notion of existence, however, cancels at the same time the requirement of a sufficient reason of the existence of what actually exists, and again for the same reason, namely, because since existence is as such excluded from the determinacy of the existing things, it radically differs from the specific realm where determinacy is constituted (that is why existing things are thoroughgoing determined as possible), and, therefore, it invalidates any application to itself of the logical laws that are valid only for the merely possible domain of determinacy. (shrink)

The antinomy of teleological judgment is one of the most controversial passages of Kant’s "Critique of the Power of Judgment". Having developed the idea of an explanation of organized beings by mechanical and teleological natural laws in §§ 61-68, in §§ 69-78 Kant raises the question of whether higher order mechanical and teleological natural laws, which unify the particular empirical laws of organized beings, might pose an antinomy of conflicting principles within the power of judgment. I will argue (...) against alternative views that this antinomy is neither a conflict between objective constitutive principles of the determining power of judgment nor a conflict between an objective constitutive principle of the determining power of judgment and a subjective regulative maxim of the reflecting power of judgment nor does it consist in a confusion of a pair of subjective regulative maxims of the reflecting power of judgment with a pair of objective constitutive principles of the determining power of judgment, but does consist in an apparent conflict between mechanical and teleological natural laws as subjective regulative maxims of the reflecting power of judgment. I will further argue that Kant’s resolution of the antinomy consists in the regulative idea of a supersensible that represents the unity of both kinds of natural laws and justifies the unification of both kinds of natural laws in the human power of judgment. Kant uses three notions when he talks about the supersensible – the regulative idea of a divine artisan, the regulative idea of a divine intuitive understanding, and the regulative idea of an underdetermined, supernatural ground of nature. I will show how each of these notions accounts for the unity of both kinds of natural laws and will discuss possible correlations between them. I will then explain how the unity of both kinds of natural laws in the regulative idea of a supersensible accounts for the unification of both kinds of natural laws in the human power of judgment. While the divine intuitive understanding is perfect and uncreated and, thus, capable of a representation of the unity of both kinds of natural laws, the human discursive understanding is imperfect and created; it is capable only of the representation of the unification of both kinds of natural laws in form of a hierarchy of laws. (shrink)

The Antinomies of Huxley Novel "Brave New World".

The theory of variable embodiments has been primarily formulated to model ordinary objects as things that change their parts over time. A variable embodiment /f/ is a sui generis whole constructed from a principle f, the principle of a variable embodiment, and it is manifested at different times by different things picked out by such a principle f. This principle is usually clarified as a function that picks out, at any given time the variable embodiment exists, (...) its corresponding manifestation at that time, and it fails to pick out anything at any other time. The first purpose of this article is to examine and refute three natural understandings of such a principle. Specifically, first, we argue against the view that it should be understood extensionally as either a partial function or total function. Next, we provide some motivations to reject the understanding of the principle as a function in intensional terms, where the notion of intension is analyzed in terms of a specific version of a possible world semantics. The second goal of the article is to make it plausible that the principle has an intensional character and, on the basis of the results achieved, to formulate some constraints that an account of such a principle should meet. (shrink)

This paper discusses an apparent contrast between Kant’s accounts of the mathematical antinomies in the first Critique and in the Prolegomena. The Critique claims that the antitheses are infinite judgements. The Prolegomena seem to claim that they are negative judgements. For the Critique, theses and antitheses are false because they presuppose that the world has a determinate magnitude, and this is not the case. For the Prolegomena, theses and antitheses are false because they presuppose an inconsistent notion of world. The (...) paper argues that the contrast between the two works is only apparent, and provides an interpretation which removes it. (shrink)

What does it mean to ‘give’ the value of a variable in an algebraic context, and how does giving the value of a variable differ from merely describing it? I argue that to answer this question, we need to examine the role that giving the value of a variable plays in problem-solving practice. I argue that four different features are required for a statement to count as giving the value of a variable in the context of (...) solving an elementary algebra problem: the variable must be in the scope opened by the problem statement; the values given must be in the range of the variable, which is determined by the problem; the statement giving the values must represent a complete solution; and it must be in a canonical form. This account helps us better understand elementary algebra itself, as well as the use of algebraic tools to analyze phenomena in natural language. (shrink)

Kant’s Antinomy of Teleological Judgment is unique in offering two pairs of oppositions, one of regulative maxims, and the other of constitutive principles. Here I defend a traditional interpretation of the antinomy— as proposed, for example, by Stadler (1874), Adickes (1925), and Cassirer (1921)—that the antinomy consists in an opposition between constitutive principles, and is resolved by pointing out their legitimate status as merely regulative maxims. I argue against recent interpretations—for example, in McLaughlin (1990), Allison (1991), and (...) Watkins (2009)—which treat the regulative pair as itself antinomial. I then address several textual worries having to do with reconciling the traditional interpretation within the overall structure of the Dialectic of Teleological Judgment that have led these scholars to espouse the new view. Throughout the paper, I emphasize hitherto neglected parallels with Kant’s treatment of the antinomy of taste, which sheds light on understanding the antinomy of teleology. (shrink)

The aim of this paper is to show that there is a genuine difficulty in Kant’s argument regarding the connection between mechanism and teleology. But this difficulty is not the one that is usually underlined. Far from consisting in a contradiction between the first and the third Critique, I argue that the genuine difficulty is intrinsic to the antinomy of reflective judgement: rather than having any hope of resolving anything, it consists in an inescapable conflict. In order to support (...) this claim, I show firstly why converting the thesis of the antinomy about mechanism into reflective judgement does not require renunciation of the universality of causality demonstrated in the first Critique. Then, I suggest that the actual difficulty with Kant’s argument is that there is a genuine conflict inherent in the reflective form of the antinomy. Finally, I examine in detail the antinomy of reflective judgement and compare it to the other Kantian antinomies in order to show that its uniqueness makes it uniquely troubling. This leads me to conclude that the Kantian resolution of the conflict between mechanism and teleology is unsatisfactory. (shrink)

In the following pages, the main proposal is to indicate how Max Weber has dialogued directly with some prerogatives from Kant’s Critic of practical Reason, following the reception of Wilhelm Windelband’s concept of “responsibility” (Verantwortlichkeit) and his theory of values. In sight of these influences, in this paper will be argued how Weber adherence to the neo-Kantian value concept has made possible a review on the categorical imperatives, which has turned his reading from Kantian philosophy to the proposal of an (...) antinomy between the ethic of conviction and the ethic of responsibility inside the Kantian moral maxims. -/- Nessa abordagem será proposto que a recepção de Max Weber do conceito de “responsabilidade” (Verantwortlichkeit) de Wilhelm Windelband, bem como sua revisão de certos elementos da filosofia dos valores neokantiana do sudoeste da Alemanha, permitiram que Weber estabelecesse um diálogo mais direto com os pressupostos de Kant em sua Crítica da razão prática. Em vista dessas influências, o presente artigo argumentará que a maneira como Weber revisa os imperativos categóricos direcionou sua compreensão da filosofia kantiana pelo conceito de “valores”, o permitindo ainda, propor a existência de uma antinomia entre a ética da convicção e da responsabilidade no interior das máximas morais kantianas. (shrink)

We demonstrate how Darwinian evolution enhances decision-making via experiential learning and game-theoretical strategies. To an external observer, the resultant moderate intra-individual variability is indistinguishable from free will. We conclude that this evolutionary outcome is the simplest explanation for decision-making, thus being preferable according to Occam's razor, and implying that free will is an illusion. Furthermore, we argue that the perception of free will exists due to evolutionary benefits.

We examine the set of formula-to-formula valid inferences of Classical Logic, where the premise and the conclusion share at least a propositional variable in common. We review the fact, already proved in the literature, that such a system is identical to the first-degree entailment fragment of R. Epstein's Relatedness Logic, and that it is a non-transitive logic of the sort investigated by S. Frankowski and others. Furthermore, we provide a semantics and a calculus for this logic. The semantics is (...) defined in terms of a \-matrix built on top of a 5-valued extension of the 3-element weak Kleene algebra, whereas the calculus is defined in terms of a Gentzen-style sequent system where the left and right negation rules are subject to linguistic constraints. (shrink)

NPs with intensional relative clauses such as 'the impact of the book John needs to write' pose a significant challenge for trope theory (the theory of particularized properties), since they seem to refer to tropes that lack an actual bearer. This paper proposes a novel semantic analysis of such NPs on the basis of the notion of a variable object. The analysis avoids a range of difficulties that an alternative analysis based on the notion of an individual concept would (...) face. (shrink)

Drawing on a range of sources such as Roman oratory, love elegy, Carmina Priapea and Petronius, the paper claims that the Priapic model of Roman Sexuality entails a particularly vulnerable form of male sexuality which can best be observed in descriptions of young men in the transitional period to manhood, such as, e.g., Achilles in Statius' Achilleis.

The Thesis of Kant’s Third Antinomy asserts that, because it is “necessary to assume another causality through freedom” in order to derive all the appearances of the world, “causality in accordance with the laws of nature is not the only one” (A444/B472). The argument Kant supplies in support of this, however, has been the subject of interpretative disagreement since at least Schopenhauer, with the most plausible reconstructions being dismissed as question-begging, resting on a conflation relating to the principle of (...) sufficient reason, or attacking a straw-man of the Antithesis position. In this paper, I attempt to provide a novel interpretation of the argument for the Thesis position, one that offers a more compelling case against a charitably interpreted Antithesis position. (shrink)

This chapter explores the opportunities and limitations of the ideal of transparency in responsible innovation, by consulting the virtual case of "The Circle", a company which appears in Dave Eggers' novel The Circle. The Circle is a high-tech company with the main purpose of being responsive to societal needs. They want to eradicate unethical behaviour in society, enhance public health and make a positive impact on the environment. The ultimate goal of The Circle is to reach 100% full transparency in (...) the world, which is impossible without any societal desirability. In first instance, it is free choice of people to accept and embrace the products and services of The Circle, who invest resources in keeping customers happy and in raising awareness about the dangers of privacy. The chapter concludes that The Circle meets the requirements regarding the outcomes of responsible innovation, at least to a certain extent, while at the same time, one feels unease about certain activities they undertake. (shrink)

The problem of variability concerns the fact that empirical data does not support the existence of a coordinated set of biological markers, either in the body or the brain, which correspond to our folk emotion categories; categories like anger, happiness, sadness, disgust and fear. Barrett (2006a, b, 2013, 2016, 2017a, b) employs this fact to argue (i) against the faculty psychology approach to emotion, e.g. emotions are the products of emotion-specific mechanisms, or “modules”, and (ii) for the view that emotions (...) are constructed from domain-general “core systems” with the aid of our folk concepts. The conjunction of (i) and (ii), she argues, heralds a paradigm shift in our understanding of emotion: emotions aren’t triggered but made. In this paper, I argue such a shift is premature for a faculty psychology framework can accommodate the neurobiological variability of emotion. This can be done by treating emotions as developmental modules: non-innate systems which behave like modules, but form as a product of ontogenetic development. (shrink)

In his influential work on Kant and history, Yirmiyahu Yovel identifies a problem which he terms ‘the historical antinomy.’ The problem states that no possible mediation can take place between the atemporal realm of pure reason and the empirical realm of human history. In this paper, I aim to bridge this gap based on a two-aspect reading of the faculty of reason, and then proceed to show reason’s ability to apply transcendental ideas on empirical history for the sake of (...) grasping a rational idea of history in a single, mediated process. (shrink)

This research studied the interaction influence of demographic characteristics (marital status, job rank, gender and age) and occupational stress level, on the work performance of faculty members in Calabar Metropolis. The descriptive survey design was utilized for this investigation. A sample of 150 respondents was identified using the systematic random sampling procedure from a population of 400 Faculty of Education lecturers from two public universities in Calabar Metropolis. A four-point scale validity and reliability certified questionnaire was used for data collection. (...) Data generated was analyzed using the two-way analysis of variance. Hypotheses were all tested at the 0.05 alpha level. Findings revealed a significant interactive effect of demographic variables (age, gender, job rank and marital status) and stress levels on lecturers' jobs. Results also indicated that the stress level of lecturers affects the degree or quality of job performance, with those having average stress levels reporting better job performance in the universities studied. Recommendations were made that all lecturers, irrespective of age, gender, marital status or rank, should develop or adopt good stress management skills and disengage/reduce extra jobs and other unnecessary stress-inducing activities. ©. (shrink)

The purpose of this paper was to examine institutional variables and the supervision of security in secondary schools in Cross River State. The study specifically sought to determine whether there was a significant influence of school population, school type and school location, on the supervision of security in public secondary schools in Cross River State. Three null hypotheses were formulated accordingly to guide the study. 360 students and 120 teachers resulting in a total of 480 respondents, constituted the sample for (...) the study. The instrument used for data collection was a questionnaire while Independent t-test was used to analyze data and test the hypotheses at .05 level of significance using Microsoft Excel version 2013. The results of the findings revealed that school population, school type and school location, all have an influence in the supervision of security in public secondary schools of Cross River State. It was also revealed that lowly populated, mixed-gender, and urban public secondary schools were more efficient in the supervision of security than their counterparts such as highly populated, single-gender and rural secondary schools. Based on the findings of this study, conclusions were drawn and recommendations were made. (shrink)

The concept of shared mental models refers to the shared understanding among team members about how they should behave in different situations. This article aimed to develop a new shared mental model measure, specifically designed for the refereeing context. A cross-sectional study was conducted with three samples: national and regional football referees (n = 133), national football referees and assistant referees and national futsal referees (n = 277), and national futsal referees (n = 60). The proposed version of the Referee (...) Shared Mental Models Measure (RSMMM) has 13 items that are reflected on a single factor structure. The RSMMM presented good validity evidence both based on the internal structure and based on relations to other variables (presenting positive associations with team work engagement, team adaptive performance, and team effectiveness). Such promising psychometric properties point to an optimistic outlook regarding its use to measure shared mental models in futsal and football referee teams. -/- . (shrink)

A crucial question for artificial cognition systems is what meaning is and how it arises. In pursuit of that question, this paper extends earlier work in which we show that emergence of simple signaling in biologically inspired models using arrays of locally interactive agents. Communities of "communicators" develop in an environment of wandering food sources and predators using any of a variety of mechanisms: imitation of successful neighbors, localized genetic algorithms and partial neural net training on successful neighbors. Here we (...) focus on environmental variability, comparing results for environments with (a) constant resources, (b) random resources, and (c) cycles of "boom and bust." In both simple and complex models across all three mechanisms of strategy change, the emergence of communication is strongly favored by cycles of "boom and bust." These results are particularly intriguing given the importance of environmental variability in fields as diverse as psychology, ecology and cultural anthropology. (shrink)

The four volume work of which this book is a part has been praised as one of the great monuments of theoretical scholarship in sociology of the century. The praise has come largely from the older generation of students of Parsons and Merton. A great deal of dispraise has come from Alexander's own generation. Alan Sica's (1983) brilliant, biting review of Volume I speaks for many of Alexander's peers. Volume II is likely to be even more controversial. This volume begins (...) the substantive task of the text, the reinterpretation of the 'theoretical logic' of the classical sociologists, a reinterpretation governed by the intention of transcending the errors and limitations of the 'presuppositional' reasoning of the classical thinkers. For Alexander's sociological audience the second volume is the beginning of what really counts, and Volume II is indeed quite a different affair from the first, 'philosophical' volume: the prose tightens, and the air of getting down to work is palpable. (shrink)

Neural activity varies continually from moment to moment. Such temporal variability (TV) has been highlighted as a functionally specific brain property playing a fundamental role in cognition. We sought to investigate the mechanisms involved in TV changes between two basic behavioral states, namely having the eyes open (EO) or eyes closed (EC) in vivo in humans. To these ends we acquired BOLD fMRI, ASL, and [18F]-fluoro-deoxyglucose PET in a group of healthy participants (n = 15), along with BOLD fMRI and (...) [18F]-flumazenil PET in a separate group (n = 19). Focusing on an EO- vs EC-sensitive region in the occipital cortex (identified in an independent sample), we show that TV is constrained in the EO condition compared to EC. This reduction is correlated with an increase in energy consumption and with regional GABAA receptor density. This suggests that the modulation of TV by behavioral state involves an increase in overall neural activity that is related to an increased effect from GABAergic inhibition in addition to any excitatory changes. These findings contribute to our understanding of the mechanisms underlying activity variability in the human brain and its control. (shrink)

We all have different “tastes” for different tastes: some of us have a sweet tooth, while others prefer more subtle flavors; some crave spicy foods, while others cannot stand them. As Bourdieu and others have pointed out, these varying judgments seem to be more than mere preferences; often they reflect (and partially constitute) differences of class and culture. But I want to suggest that we’ve possibly overlooked another important source of these divergent gastronomic evaluations, other than hierarchy and caste: mere (...) interpersonal variability with respect to brute gustatory sensations. After all, we all know about “supertasters and cilantro-haters”; how likely is it, though, that the interpersonal heterogeneity of gustatory sensation is limited to this one dimension? In this paper, I make the case that we should take this possibility more seriously, and offer some thoughts on how we might start getting a better handle on the nature and scope of interpersonal gustatory variability—including by suggesting some diagnostics that can help us get at (what I call) some of the “non-flavor dimensions” of our gustatory experience. I conclude by developing some implications for the prospects of an “alimentary aesthetics”: namely, that—should our gustatory experiences turn out to be quite heterogeneous—then they do not seem well-suited to serve as the basic ingredients of bona fide aesthetic judgment about food and drink. (shrink)

In the last decades there has been a great controversy about the scientific status of emotion categories. This controversy stems from the idea that emotions are heterogeneous phenomena, which precludes classifying them under a common kind. In this article, I analyze this claim—which I call the Variability Thesis—and argue that as it stands, it is problematically underdefined. To show this, I examine a recent formulation of the thesis as offered by Scarantino (2015). On one hand, I raise some issues regarding (...) the logical structure of the claim. On the other hand, and most importantly, I show that the Variability Thesis requires a consensus about what counts as a relevant pattern of response in different domains, a consensus that is lacking in the current literature. This makes it difficult to assess what counts as evidence for or against this thesis. As a result, arguments based on the Variability Thesis are unwarranted. This raises serious concerns about some current empirical theories of emotions, but also sheds light on the issue of the scientific status of emotion categories. (shrink)

MethodologyA new hypothesis on the basic features characterizing the Foundations of Mathematics is suggested.Application of the methodBy means of it, the several proposals, launched around the year 1900, for discovering the FoM are characterized. It is well known that the historical evolution of these proposals was marked by some notorious failures and conflicts. Particular attention is given to Cantor's programme and its improvements. Its merits and insufficiencies are characterized in the light of the new conception of the FoM. After the (...) failures of Frege's and Cantor's programmes owing to the discoveries of an antinomy and internal contradictions, respectively, the two remaining, more radical programmes, i.e. Hilbert's and Brouwer's, generated a great debate; the explanation given here is their mutual incommensurability, defined by means of the differences in their foundational features.ResultsThe ignorance of this phenomenon explains the inconclusiveness of a century-long debate between the advocates of these two proposals. Which however have been so greatly improved as to closely approach or even recognize some basic features of the FoM.Discussion on the resultsYet, no proposal has recognized the alternative basic feature to Hilbert's main one, the deductive organization of a theory, although already half a century before the births of all the programmes this alternative was substantially instantiated by Lobachevsky's theory on parallel lines. Some conclusive considerations of a historical and philosophical nature are offered. In particular, the conclusive birth of a pluralism in the FoM is stressed. (shrink)

In his Critique of Pure Reason Immanuel Kant presents four anti- nomies. In his attempt to solve the first of these antinomies he examines and analyzes"thesis" and "antithesis" more thoroughly and employs the terms `part', `whole' and `boundary' in his argumentation for their validity. According to Kant, the whole problem surrounding the antinomy was caused by applying the concept of the world to nature and then using both terms interchangeably. While interesting, this solution is still not that much more (...) than a well thought out idea if it does not also include an adequate formal explication. Since the aforementioned terms all have counterparts in modern mereotopology, a discipline that has seen significant progress in recent times, we will apply these concepts to Kant's analysis in an attempt to evaluate Kant's solution in light of modern analytic philosophy. (shrink)

This study deals primarily with the effectiveness of the Land Bank of Philippines as a Depository Bank of Makati Branch in specific organization and bank operations management. This paper provides baseline data in aid of policy formulation to enhance the bank operations management that offers new motivation towards a policy that effectively addresses and solves the bank operations management. This study used the quantitative descriptive method. Thirteen (13) bank personnel and 64 barangays elected chairman, including the appointed treasurer with direct (...) access to the bank transaction regarding the funds of the barangays in Makati City, were purposely taken as research respondents. It was found that no significant difference exists in the assessment of the respondents in organization and bank operations management when grouped according to age, gender, and educational attainment. The mean evaluation of the respondents in the organization and bank operations management with the variables mentioned revealed effectiveness, and the grand mean and the composite mean are within the mean range of 3.50-4.49, interpreted as effective. This implies that the variables mentioned are directly performed to the standard of the bank. It is recommended that the bank look into the deposits of the barangay funds as it is mandated by law to secure the funds of the barangay in the form of deposits and withdrawals. (shrink)

We present a novel approach to defining the mathematical constant π through the infinite den- sification of a sweeping net, which approximates a circle as the net becomes infinitely dense. By developing and enhancing notation related to sweeping nets and saddle maps, we establish a rigor- ous framework for expressing π in terms of the densification process using reverse integration. This method, inspired by the concept that numbers ”come from infinity,” leverages a reverse integral approach to model the transition from (...) infinite densification to the finite circle. Our work not only offers a new perspective on the geometric interpretation of π but also provides insights into reverse integration techniques and their applications in mathematical analysis. (shrink)

The Riemann zeta function ζ(s) is a central object in number theory and complex analysis, defined for complex variables and intimately connected to the distribution of prime numbers through its zeros. The famous Riemann Hypothesis conjectures that all non-trivial zeros of the zeta function lie on the critical line Re(s) = 1 2 . In this paper, we explore the Riemann zeta function through the lens of set-theoretic and sweeping net methods, leveraging creative comparisons of specific sets to gain deeper (...) insight into the distribution of its zeros. By rewording and analyzing the Riemann Hypothesis using set-theoretic arguments, applying sweeping net techniques, and integrating modal logic interpretations, we aim to provide new perspectives and support for this profound conjecture. Our objectives are: • Define the zeta function and its properties relevant to the zeros. • Reword the Riemann Hypothesis using set-theoretic language and establish logical equivalence. • Introduce and compare specific sets related to the zeros of ζ(s). • Apply set-theoretic and sweeping net methods to analyze the distribution of zeros. • Provide rigorous proofs about the absence of zeros in certain regions, including mechanical justifi- cations with all steps. • Incorporate modal logic interpretations into the proof. • Discuss implications for the Riemann Hypothesis. (shrink)

The purpose of the study is to forecast the number of passengers transported by air in the United States for 2021-2022. The forecast is preceded by a multidimensional comparative analysis of the number of passengers transported by air in the United States from 1 January 2019 to 2 November 2021. To achieve this goal, the data were grouped as dependent variables: years, months-years. The observed similarities, the analysis and evaluation of the literature as well as the own experience made it (...) possible to forecast primary data for the future. The obtained results show a growing trend in the number of passengers transported by air in the United States. The forecast for 3 November 2021 to 31 December 2022 is 837 459 877 prospective air passengers in the United States. The standard deviation of the obtained forecast was 255 680,3, the arithmetic mean was 1 975 141 passengers and the median was 1 998 478 passengers. The observed similar trends in the identical months of July-October in 2019 and 2021 as well as the analysis of the literature and the own experience allowed for the selection of a method for the forecasting of the number of passengers transported by air in the United States for the future. The detected regularities as recurring trends in the number of air passengers transported in the United States on a dynamic basis may be used to forecast them for the future. (shrink)

Book synopsis: Held every five years under the auspices of the Kant-Gesellschaft, the International Kant Congress is the world’s largest philosophy conference devoted to the work and legacy of a single thinker. The five-volume set Kant and Philosophy in a Cosmopolitan Sense contains the proceedings of the Eleventh International Kant Congress, which took place in Pisa in 2010. The proceedings consist of 25 plenary talks and 341 papers selected by a team of international referees from over 700 submissions. The contributions (...) span 14 sections: Kant’s Concept of Philosophy; Theory of Cognition and Logic; Ontology and Metaphysics; Ethics; Law and Justice; Religion and Theology; Aesthetics; Anthropology and Psychology; Politics and History; Science, Mathematics, and the Philosophy of Nature; Kant and the Leibnizian Tradition; Kant and the Philosophical Tradition; Kant and Schopenhauer; and Kant’s Heritage. Thanks to cooperation from the Schopenhauer Gesellschaft, the 2010 conference was the first in the history of the International Kant Congress to include a session on Kant and Schopenhauer. (shrink)

Purpose of the study was to find out the significant relationship between cover drive shot with selected biomechanical variables of university level male Indian cricketers. Only ten (10) men University-level cricketers from Lakshmibai National Institute of Physical Education NERC Guwahati Assam India were selected. The performance variable was the cover drive shot, whereas the other biomechanical variables were balance, the center of gravity (CG), angle of the left elbow, angle of the right elbow, angle of the left knee, and (...) angle of the right knee. During collecting data, two-dimensional (2D) videography was performed, and data was finalized using Kinovea software as filming protocols. Pearson coefficient correlation ('r') statistics are used at 0.05 level of significance to analyze a correlation between the variables. The study's findings did not correspond to the hypothesis formulation. Several factors could have influenced the study's outcomes. The number of subjects was significantly lower which affects the means of the variables because number of the subject may play a crucial role here since here, we are correlating means of the two variables at a single time. The current study found that the selected biomechanical variables had no significant correlation with cover drive performance among university level male participants in this study. (shrink)

ABSTRACT For learning any language, motivation plays a vital role. This study aims to investigate collegiate students’ predictive motivational factors toward students’ attitude toward learning English as secondary language. This is a cross-sectional study in which questionnaire was adapted from the existing literature for data collection. For this quantitative study data were collected from two government degree colleges of Larkana. Total 400 questionnaires were randomly distributed among intermediate students both boys and girls, out of that 247 were returned. Data were (...) analyzed using statistical packages for social sciences (SPSS) version 24. Initially, data were cleaned by identifying missing values and outliers. Study hypotheses were examined using Multiple Regression Analysis (MRA). The findings of this study revealed that instrumental motivation and parental encouragement (independent variables) have positive and significant relationship with attitude toward learning English. However, one variable i.e. integrative motivation was not found as a significant and positive predictor of the dependent variable. Like any study, this study also possesses few limitations, such as sample size, time horizon, and context of the study. In the end, future directions are given for further exploration. (shrink)

This research paper assesses the possible relationship between motivation and academic performance of student athletes and utilized a descriptive design as it investigated the association between two constructs (variables) of student athletes, namely their motivation and academic performance. The research is descriptive correlational research with sixty (60) student athlete respondents coming from the various varsity teams in a selected university in the city of Manila. The descriptive nature and design of the study would require that descriptive statistics and measures of (...) association be utilized to analyze the relationship between the two constructs of the study – motivation and academic performance. The (SAMSAQ) was chosen as the research instrument to collate the necessary descriptive data, upon which a correlation analysis through the Pearson was administered. After the statistical analysis, the following were the conclusion of the study: (1) That there was a perfect positive relationship between responses of the student – athletes in the thirty (30) SAMSAQ items and their GPA’s; (2) That the relationship between motivation and academic performance of respondents, as represented by their mean scores of responses and GPA’s respectively are not of the same strength and significance for negatively and positively – structured queries of the SAMSAQ; (3) That the mean scores of responses in negative and positive impact queries of respondents and its relationship with their GPA’s, representatives of the measures of motivation and academic performance are incomparable as the Likert scale is inverted for the negatively structured queries, where behavior adverse to academic performance is sought. (shrink)

All humans share a universal, evolutionarily ancient approximate number system (ANS) that estimates and combines the numbers of objects in sets with ratio-limited precision. Interindividual variability in the acuity of the ANS correlates with mathematical achievement, but the causes of this correlation have never been established. We acquired psychophysical measures of ANS acuity in child and adult members of an indigene group in the Amazon, the Mundurucú, who have a very restricted numerical lexicon and highly variable access to mathematics (...) education. By comparing Mundurucú subjects with and without access to schooling, we found that education significantly enhances the acuity with which sets of concrete objects are estimated. These results indicate that culture and education have an important effect on basic number perception. We hypothesize that symbolic and nonsymbolic numerical thinking mutually enhance one another over the course of mathematics instruction. (shrink)

The research aims to identify the status of the application of electronic document management system in governmental institutions – the study was applied on the Palestinian Pension Agency. The population of this study is composed of all employees in the Palestinian Pension Agency. In order to achieve the objectives of the study, the researchers used the descriptive and analytical approach, through which try to describe the phenomenon of the subject of the study, analyze the data and the relationship between the (...) components and the views put around it. Census method was used due to the small size of the study population and ease of access to the target group. (108) questionnaires were distributed to all members of the study population, were (65) employees in the Gaza Strip and (43) employees in the West Bank. All questionnaires were recovered. The study found the following results: There were no statistically significant differences in the members of the population in response to differences in the study about the reality of the application of electronic document management system in governmental institutions - case study on the Palestinian Pension Authority due to the age. There are no statistically significant differences in population members in response to the reality of the application of electronic document management system in governmental institutions - case Study on the Palestinian Pension Authority due to the variable nature of the job. As well as there are no statistically significant differences in the members of the population in response to the study about the reality of the application of electronic document management system in governmental institutions - case study on the Palestinian Pension Authority due to the variable of specialization. There are statistically significant differences in the study about the reality of the application of electronic document management system in governmental institutions - case study on the Palestinian Pension Authority due to Qualification variable for the benefit of members of the population study who are holding a Bachelor degree. There are statistically significant differences in the study about the reality of the application of electronic document management system in governmental institutions – case study on the Palestinian Pension Authority due to the variable number of years of experience for the benefit of members of the study population who have experience between 11-15 years. The study found a group of recommendations, including: the need to focus on the establishment of a general management of electronic documents in the organization structure that takes care of all the technical processes in it an contains scientifically qualified persons in the field of electronic document management. The need is for the attention in developing strategic plans, policies and mechanisms of action commensurate with the electronic document management system. (shrink)

A given causal system can be represented in a variety of ways. How do agents determine which variables to include in their causal representations, and at what level of granularity? Using techniques from Bayesian networks, information theory, and decision theory, we develop a formal theory according to which causal representations reflect a trade-off between compression and informativeness, where the optimal trade-off depends on the decision-theoretic value of information for a given agent in a given context. This theory predicts that, all (...) else being equal, agents prefer causal models that are as compressed as possible. When compression is associated with information loss, however, all else is not equal, and our theory predicts that agents will favor compressed models only when the information they sacrifice is not informative with respect to the agent’s anticipated decisions. We then show, across six studies reported here (N=2,364) and one study reported in the supplemental materials (N=182), that participants’ preferences over causal models are in keeping with the predictions of our theory. Our theory offers a unification of different dimensions of causal evaluation identified within the philosophy of science (proportionality and stability), and contributes to a more general picture of human cognition according to which the capacity to create compressed (causal) representations plays a central role. (shrink)

This second technical report shows some partial results for the variables of the proposed statistical analysis and a discussion about some changes in sampling. In what concerns the qualitative analysis of content, the report presents the general predominant tendencies that get contoured with the first two samples.

The explicit history of the “hidden variables” problem is well-known and established. The main events of its chronology are traced. An implicit context of that history is suggested. It links the problem with the “conservation of energy conservation” in quantum mechanics. Bohr, Kramers, and Slaters (1924) admitted its violation being due to the “fourth Heisenberg uncertainty”, that of energy in relation to time. Wolfgang Pauli rejected the conjecture and even forecast the existence of a new and unknown then elementary particle, (...) neutrino, on the ground of energy conservation in quantum mechanics, afterwards confirmed experimentally. Bohr recognized his defeat and Pauli’s truth: the paradigm of elementary particles (furthermore underlying the Standard model) dominates nowadays. However, the reason of energy conservation in quantum mechanics is quite different from that in classical mechanics (the Lie group of all translations in time). Even more, if the reason was the latter, Bohr, Cramers, and Slatters’s argument would be valid. The link between the “conservation of energy conservation” and the problem of hidden variables is the following: the former is equivalent to their absence. The same can be verified historically by the unification of Heisenberg’s matrix mechanics and Schrödinger’s wave mechanics in the contemporary quantum mechanics by means of the separable complex Hilbert space. The Heisenberg version relies on the vector interpretation of Hilbert space, and the Schrödinger one, on the wave-function interpretation. However the both are equivalent to each other only under the additional condition that a certain well-ordering is equivalent to the corresponding ordinal number (as in Neumann’s definition of “ordinal number”). The same condition interpreted in the proper terms of quantum mechanics means its “unitarity”, therefore the “conservation of energy conservation”. In other words, the “conservation of energy conservation” is postulated in the foundations of quantum mechanics by means of the concept of the separable complex Hilbert space, which furthermore is equivalent to postulating the absence of hidden variables in quantum mechanics (directly deducible from the properties of that Hilbert space). Further, the lesson of that unification (of Heisenberg’s approach and Schrödinger’s version) can be directly interpreted in terms of the unification of general relativity and quantum mechanics in the cherished “quantum gravity” as well as a “manual” of how one can do this considering them as isomorphic to each other in a new mathematical structure corresponding to quantum information. Even more, the condition of the unification is analogical to that in the historical precedent of the unifying mathematical structure (namely the separable complex Hilbert space of quantum mechanics) and consists in the class of equivalence of any smooth deformations of the pseudo-Riemannian space of general relativity: each element of that class is a wave function and vice versa as well. Thus, quantum mechanics can be considered as a “thermodynamic version” of general relativity, after which the universe is observed as if “outside” (similarly to a phenomenological thermodynamic system observable only “outside” as a whole). The statistical approach to that “phenomenological thermodynamics” of quantum mechanics implies Gibbs classes of equivalence of all states of the universe, furthermore re-presentable in Boltzmann’s manner implying general relativity properly … The meta-lesson is that the historical lesson can serve for future discoveries. (shrink)

The purpose of this research is to identify the extent of the efficiency of the internal control environment in the Palestinian higher educational institutions in Gaza Strip from the perspective of employees in the Palestinian universities in Gaza Strip, where researchers used in the study five universities. The researchers adopted in their study the descriptive and analytical approach. The research community consists of administrative employees and academic employees with administrative duties. Senior management or the University Council was excluded. The study (...) population compromises of (392) employees. A stratified random sample was chosen and (197) questionnaires were distributed. (160) questionnaires were received back with a return rate of (81.2%).The researchers used a questionnaire to collect that which then was analyzed using (SPSS) to get the results. The research found the following results: the absence of a fundamental difference between the responses of males and females. The lack of significant difference between the responses of the respondents attributed to the variable age. The lack of significant difference between the responses of the respondents attributed to the variable of years of service. And the existence of a fundamental difference between the responses of the respondents attributed to the university variable. The existence of a fundamental difference between the responses of the respondents attributed to the Qualification variable. The existence of a fundamental difference between the responses of the respondents attributed to the administrative level variable. The research found a group of recommendations including: the need to raise awareness of censorship as the basis for the protection of employees in all administrative levels from making mistake.Updating the systems and instructions of control periodically and parallel with the scientific progress and technology.Benefit from regional and international experiences in the application of internal control standards which commensurate with the administrative system of the institution. (shrink)

It has been noticed that self-referential, ambiguous definitional formulas are accompanied by complementary self-referential antinomy formulas, which gives rise to contradictions. This made it possible to re-examine ancient antinomies and Cantor’s Diagonal Argument (CDA), as well as the method of nested intervals, which is the basis for evaluating the existence of uncountable sets. Using Georg Cantor’s remark that every real number can be represented as an infinite digital expansion (usually decimal or binary), a simplified system for verifying the definitions (...) of real numbers, subsets, and strings was created - the Cantor Criterion, which allows faulty definitions to be pointed out. For the CDA, the connection of formulas defining objects (real numbers, subsets, strings) from outside the list with supplementary formulas was demonstrated - their indirect and indispensable nature testifies to the lack of unambiguity and gives rise to contradictions for Cantor’s antinomic formulas. Thus, Cantor’s theorem about the higher power of the set of all subsets, using the reductio ad absurdum proof, lost its power and it was indicated that it is necessary to correct the scheme of the Axiom of Specification, which was introduced precisely to exclude antinomies from set theory by excluding from the use of self-referential antinomies and ambiguous supplementary formulas coupled with them identified by the H hypothesis. The method of nested intervals was investigated and it was shown that every real number can be defined by the limit of nested intervals and a countable list of real numbers obtained from a countable pool of all Jules Richard’s texts. (shrink)

The present narrative review seeks to unravel where we are now, and where we need to go to delineate the active ingredients in psychotherapy delivered by conversational agents (e.g., chatbots). While psychotherapy delivered by conversational agents has shown promising effectiveness for depression, anxiety, and psychological distress across several randomized controlled trials, little emphasis has been placed on the therapeutic processes in these interventions. The theoretical framework of this narrative review is grounded in prominent perspectives on the active ingredients in psychotherapy. (...) Based on search terms derived from various theoretical perspectives, we conducted a systematic literature search of four scientific databases and identified 17 studies. Across the selected studies, three themes emerged: relationship variables, emotional venting, and cognitive factors. While methodological issues compromise the epistemic value of this evidence base, core questions also remain to be answered. Such questions include, but are not limited to, whether humans can form affectionate bonds to inanimate beings and whether these kind of mental health treatments should be understood as psychotherapy or something else. Researchers should therefore be cautious when applying theories of psychotherapy in the realm of conversational agents. We conclude the paper by introducing recommendations for future research, which we hope will help instigate methodologically sound studies in this field. (shrink)

The study aimed to identify the creative environment of the technical colleges operating in Gaza Strip. The analytical descriptive method was used through a questionnaire which was randomly distributed to 289 employees of the technical colleges in Gaza Strip with a total number of (1168) employees and a response rate equal to (79.2%) of the sample study. The results confirmed the existence of a high degree of approval for the dimensions of the creative environment with a relative weight of (75.19%) (...) according to the perspective of the employees of the technical colleges in Gaza Strip. The results of the study showed a high level of creative environment (fluency, flexibility, originality, sensitivity to problems) in the technical colleges in Gaza Strip, where the field (fluency) ranked first and relative weight (76.86%), in the second place came the area (sense of problems) and relative weight (74.89%). The field of elasticity came in third place with a relative weight of (74.59%). Finally, the field of originality came in fourth and final rank with a relative weight of (74.41%). The results showed that there are differences between the technical colleges in the principles of the creative environment in all fields and the overall degree except for the field of flexibility. The most available colleges in these principles were the university college of applied sciences, and that was the least of the Faculty of Al-Aqsa Society. The results showed that there were differences according to the age variable in the areas of creative environment only in the sense of problems for age groups (less than 30 years) and (from 40 to 50 years). The researchers suggested a number of recommendations, the need to enhance the dimensions of the creative environment in technical colleges by working to improve the faculties of fluency, flexibility, originality and sensitivity to problems. The need to work on continuity and improve aspects of the creative environment of the colleges and the creation of new and innovative ways to support and develop and support these aspects combined. Necessity of technical colleges to continue to develop the creative environment (fluency, flexibility, originality, sensitivity to problems) for employees by engaging them in specialized training courses for creative thinking and problem solving. Developing work procedures with new innovative methods that will accomplish the various tasks quickly and accurately, and provide the effort, time and costs. The researchers urged more future studies that address the same variables of the current study in the field of creative environment and applied to other sectors. (shrink)