Spatial skills predict important life outcomes, such as mathematical achievement or entrance into Science, Technology, Engineering, and Mathematics disciplines. Children significantly vary in their spatial performance even before they enter formal schooling. One correlate of children's spatial performance is the spatial language they produce and hear from others, such as their parents. Because the emphasis has been on spatial language, less is known about the role of hand gestures in children's spatial development. Some children are more likely to fall behind (...) in their spatial skills than others. Children born premature constitute such a risk group. Here, we compared performance of term and preterm-born children on two non-verbal spatial tasks—mental transformation and block design. We also examined relations of children's performance on these tasks to parental spatial language and gesture input and their own production of spatial language and gesture during an independent puzzle play interaction. We found that while term and preterm-born children as a group did not differ in the mental transformation or block design performance, children varied widely in their performance within each group. The variability in mental transformation scores was predicted by both a subset of spatial words and all spatial gestures children produced. Children's spatial language and gesture were in turn related to their parents' spatial language and gesture. Parental spatial language and gesture had an indirect relation on children's mental transformation, but not block design, scores via children's spatial language, and gesture use. Overall, results highlight the unique contributions of speech and gesture in communicating spatial information and predicting children's spatial performance. (shrink)

Expert athletes are determined to make faster and better decisions, as revealed in several simple heuristic studies using verbal reports or micro-movement responses. However, heuristic decision-making experiments that require motor responses, also being considered as the embodied-choice experiments, are still underrepresented. Furthermore, it is less understood how decision time and confidence depend on the type of embodied choices players make. To scrutinize the decision-making processes, this study investigated the embodied choices of male athletes with different expertise in a close-to-real-life environment; (...) 22 elite, and 22 amateur team handball players performed a sport-specific embodied-choice test. Attack sequences were shown to the players, who had to choose between four provided options by giving a respective sport-specific motor response. We analyzed the frequencies of specific choices and the best choice, as well as the respective decision time and decision confidence. Elite and amateur players differed in the frequencies of specific choices, and elite players made the best choice more often. Slower decision times of elite players were revealed in specific choices and in best choices, the confidence of decisions was rated equally high by both player groups. Indications are provided that elite players make better choices rather slower, instead of faster. We suppose this is due to specific sensorimotor interactions and speed-accuracy-tradeoffs in favor of accuracy in elite players. Our findings extend expert decision-making research by using an embodied-choice paradigm, highlighting considerations of decision time and confidence in future experiments. (shrink)

This paper introduces a novel theory of vagueness. Its main aim is to show how naïve judgments about tolerance and indeterminacy can be preserved while departing from classical logic only in ways which are independently motivated. -/- The theory makes use of a bilateral approach to acceptance and rejection. Combined with a standard account of validity, this approach gives rise to an entailment relation which is non-transitive. I argue that this is desirable: it is both pre-theoretically plausible and provides a (...) compelling solution to a number of longstanding puzzles. The theory aims to preserve the naïve picture of vagueness. It combines tools from expressivist and dynamic treatments of information in conversation to show how principles which are generally assumed to be in tension are compatible. The resulting logic departs from classical logic in precisely those places we should expect it to. -/- . (shrink)

Number Nativism is the view that humans innately represent precise natural numbers. Despite a long and venerable history, it is often considered hopelessly out of touch with the empirical record. I argue that this is a mistake. After clarifying Number Nativism and distancing it from related conjectures, I distinguish three arguments which have been seen to refute the view. I argue that, while popular, two of these arguments miss the mark, and fail to place pressure on Number Nativism. Meanwhile, a (...) third argument is best construed as a challenge: rather than refuting Number Nativism, it challenges its proponents to provide positive evidence for their thesis and show that this can be squared with apparent counterevidence. In response, I introduce psycholinguistic work on The Tolerance Principle (not yet considered in this context), propose that it is hard to make sense of without positing precise and innate representations of natural numbers, and argue that there is no obvious reason why these innate representations couldn’t serve as a basis for mature numeric conception. (shrink)

I give a new argument for the moral difference between lying and misleading. First, following David Lewis, I hold that conventions of truthfulness and trust fix the meanings of our language. These conventions generate fair play obligations. Thus, to fail to conform to the conventions of truthfulness and trust is unfair. Second, I argue that the liar, but not the misleader, fails to conform to truthfulness. So the liar, but not the misleader, does something unfair. This account entails that bald-faced (...) lies are wrong, that we can lie nonlinguistically, and that linguistic innovation is morally significant. (shrink)

This paper develops an analysis of non-epistemic deniability. On my analysis, a speaker has non-epistemic deniability for G-ing when non-acknowledgment social norms make it impermissible for others to retaliate against the speaker for G-ing. I identify two kinds of non-acknowledgment norms that generate non-epistemic deniability: two-tracking norms, which function to contain conflict within a group, and open secrecy norms, which function to inhibit the group from acting on shared knowledge. Narrowly, this paper builds on Alexander Dinges and Julia Zakkou’s recent (...) landmark analysis of deniability. Dinges and Zakkou argue that non-epistemic deniability does not exist. I disagree. But I also use their account of epistemic deniability in order to motivate my own analysis of non-epistemic deniability. Broadly, my paper provides a case study in how speakers strategically leverage non-acknowledgment norms in order to protect their own interests at the expense of others’. (shrink)

We study the logical and computational properties of basic theorems of uncountable mathematics, in particular Pincherle's theorem, published in 1882. This theorem states that a locally bounded function is bounded on certain domains, i.e. one of the first ‘local-to-global’ principles. It is well-known that such principles in analysis are intimately connected to (open-cover) compactness, but we nonetheless exhibit fundamental differences between compactness and Pincherle's theorem. For instance, the main question of Reverse Mathematics, namely which set existence axioms are necessary to (...) prove Pincherle's theorem, does not have an unique or unambiguous answer, in contrast to compactness. We establish similar differences for the computational properties of compactness and Pincherle's theorem. We establish the same differences for other local-to-global principles, even going back to Weierstrass. We also greatly sharpen the known computational power of compactness, for the most shared with Pincherle's theorem however. Finally, countable choice plays an important role in the previous, we therefore study this axiom together with the intimately related Lindelöf lemma. (shrink)

We study the logical and computational properties of basic theorems of uncountable mathematics, including the Cousin and Lindelöf lemma published in 1895 and 1903. Historically, these lemmas were among the first formulations of open-cover compactness and the Lindelöf property, respectively. These notions are of great conceptual importance: the former is commonly viewed as a way of treating uncountable sets like e.g. [Formula: see text] as “almost finite”, while the latter allows one to treat uncountable sets like e.g. [Formula: see text] (...) as “almost countable”. This reduction of the uncountable to the finite/countable turns out to have a considerable logical and computational cost: we show that the aforementioned lemmas, and many related theorems, are extremely hard to prove, while the associated sub-covers are extremely hard to compute. Indeed, in terms of the standard scale (based on comprehension axioms), a proof of these lemmas requires at least the full extent of second-order arithmetic, a system originating from Hilbert–Bernays’ Grundlagen der Mathematik. This observation has far-reaching implications for the Grundlagen’s spiritual successor, the program of Reverse Mathematics, and the associated Gödel hierarchy. We also show that the Cousin lemma is essential for the development of the gauge integral, a generalization of the Lebesgue and improper Riemann integrals that also uniquely provides a direct formalization of Feynman’s path integral. (shrink)

We investigate the connections between computability theory and Nonstandard Analysis. In particular, we investigate the two following topics and show that they are intimately related. A basic property of Cantor space$2^ $ is Heine–Borel compactness: for any open covering of $2^ $, there is a finite subcovering. A natural question is: How hard is it to compute such a finite subcovering? We make this precise by analysing the complexity of so-called fan functionals that given any $G:2^ \to $, output a (...) finite sequence $\langle f_0, \ldots,f_n \rangle $ in $2^ $ such that the neighbourhoods defined from $\overline {f_i } G\left$ for $i \le n$ form a covering of $2^ $. A basic property of Cantor space in Nonstandard Analysis is Abraham Robinson’s nonstandard compactness, i.e., that every binary sequence is “infinitely close” to a standard binary sequence. We analyse the strength of this nonstandard compactness property of Cantor space, compared to the other axioms of Nonstandard Analysis and usual mathematics.Our study of yields exotic objects in computability theory, while leads to surprising results in Reverse Mathematics. We stress that and are highly intertwined, i.e., our study is holistic in nature in that results in computability theory yield results in Nonstandard Analysis and vice versa. (shrink)

According to dialetheism, there are some true contradictions. According to the A-theory, the passage of time is a mind-independent feature of reality. On some A-theories, the passage of time involves the movement of the present. I show that by appealing to dialetheism one can explain why the present moves. I then argue that A-theorists should adopt this explanation. To do this, I defend two claims. First, that the dialetheic explanation is an improvement on the only other explanation available for why (...) the present moves and, second, that adopting the explanation is better than leaving the motion of the present unexplained. Assuming that A- theorists should adopt the best available version of their view, it follows that they should adopt a dialetheic explanation of why time passes. (shrink)

The article brings Laclau and Mouffe’s discourse theory into the empirical context of contemporary Russia to analyse the complex relationships between the state and alternative media. In contrast to the mainstream narrative that paints the picture of a strong authoritarian state with a grip over democratic liberties and civil society, we suggest a more nuanced perspective on the subject that focuses on the struggle over the articulation of the identity of the state. Through an ethnography (combined with interviews and textual (...) analysis) of three Russian alternative media outlets – Avtonom, Discours and DOXA – this article demonstrates how they critique the hegemonic state discourse, how they evade it through their practices, and how they perform counter-hegemonic alternatives. Even if their resistance is severely countered by the state, their practices are seen to de-naturalise the nodal points of centrality and unity which constitute the hegemonic state discourse. As these practices contain alternative articulations of the state discourse, the importance of alternative media for rethinking the state (and resisting it) should not be underestimated. (shrink)

Cantor’s first set theory paper (1874) establishes the uncountability of ${\mathbb R}$. We study this most basic mathematical fact formulated in the language of higher-order arithmetic. In particular, we investigate the logical and computational properties of ${\mathsf {NIN}}$ (resp. ${\mathsf {NBI}}$ ), i.e., the third-order statement there is no injection resp. bijection from $[0,1]$ to ${\mathbb N}$. Working in Kohlenbach’s higher-order Reverse Mathematics, we show that ${\mathsf {NIN}}$ and ${\mathsf {NBI}}$ are hard to prove in terms of (conventional) comprehension axioms, (...) while many basic theorems, like Arzelà’s convergence theorem for the Riemann integral (1885), are shown to imply ${\mathsf {NIN}}$ and/or ${\mathsf {NBI}}$. Working in Kleene’s higher-order computability theory based on S1–S9, we show that the following fourth-order process based on ${\mathsf {NIN}}$ is similarly hard to compute: for a given $[0,1]\rightarrow {\mathbb N}$ -function, find reals in the unit interval that map to the same natural number. (shrink)

This paper considers debates around the neoliberal governmentality, and argues for the need to better theorize the specific ethical practices through which such programs of governmentality are carried out. Arguing that much theoretical and empirical work in this area is prone to a “top down” approach, in which governmentality is reduced to an imposing apparatus through which subjectivities are produced, it argues instead for the need to understand the self-production of subjectivities by considering the ethical practices that make up neoliberal (...) governmentality. Moreover, taking Robert T. Kiyosaki’s Rich Dad/Poor Dad as an illustrative case, the point is made that the work of neoliberal governmentality specifically targets the temporalities of conduct, in an attempt to shape temporal orientations in a more entrepreneurial form. Drawing on Foucault’s lecture courses on liberalism and neoliberalism, and Jacques Donzelot’s work on the social, the case is made that neoliberal governmentality exhorts individuals to act upon the residual social temporalities that persist as a trace in the dispositions of neoliberal subjects. Moreover, the paper concludes with a discussion of the potentials for resistance in this relation, understood as temporal counter-conducts within neoliberalism. (shrink)

Background: Both the Council for International Organization of Medical Sciences and the Helsinki Declaration emphasize that the potential benefits of research should outweigh potential harms; consequently, some work has been conducted on participants' perception of benefits in therapeutic research. However, there appears to be very little work conducted with participants who have joined non-therapeutic research. This work was done to evaluate participants' perception of benefits in a genetic epidemiological study by examining their perception of the potential benefits of enrollment.Methods: In-depth (...) interviews lasting between 45 and 60 minutes were conducted with a convenient sample of 25 ill patients and 25 healthy accompanying relatives enrolled in a genetic epidemiological study of tuberculosis. Recorded interviews were transcribed and analyzed using content analysis.Results: Participants perceived that research was beneficial and some of the benefits included the generation of new knowledge, finding the cause of diseases, as well as the control, eradication and prevention of disease. Some thought that research was risky whilst others thought that the benefits outweighed the risks.Conclusion: Participants perceived research to be beneficial and most of them thought that, though it was risky, the benefits outweighed the risks. It is our view that researchers need to give serious consideration to participant's perception of benefits in designing their consent forms, to see to the fulfillment of achievable goals. (shrink)

Attempts to define life should focus on the transition from molecules to cells and the “closure” aspects of this event. Rather than classifying existing objects into living and non-living entities I believe the challenge is to understand how the transition from non-life to life can take place, that is, the how the closure in Jagers op Akkerhuis’s hierarchical classification of operators, comes about.

We prove that the problem of determining the minimum propositional proof length is NP- hard to approximate within a factor of 2 log 1 - o(1) n . These results are very robust in that they hold for almost all natural proof systems, including: Frege systems, extended Frege systems, resolution, Horn resolution, the polynomial calculus, the sequent calculus, the cut-free sequent calculus, as well as the polynomial calculus. Our hardness of approximation results usually apply to proof length measured either by (...) number of symbols or by number of inferences, for tree-like or dag-like proofs. We introduce the Monotone Minimum (Circuit) Satisfying Assignment problem and reduce it to the problems of approximation of the length of proofs. (shrink)

While the sport-politics nexus is not new, there is little doubt that the collision of sport and politics has become more frequent, more complex, and in many instances, more intense. This paper draws on the theory and historical observations of Johan Huizinga and Norbert Elias to provide a theoretical lens through which we can understand the interplay between sport and politics. Furthermore, the Huizinga-Elias theoretical framework allows us to examine the role of sporting organisations in political and social conflicts, and (...) how we can understand the complexities and nuances of how sporting organisations, and their athletes, have become engaged in political debates. The paper expounds the Huizinga-Elias theory through the case study of Australian Football League Indigenous footballer Adam Goodes who became engulfed in a nationwide social and political discussion about racism after he was racially vilified by a 13-year-old fan during a game in 2013. The theory implies that the interaction between sport and politics is unavoidable, thus highlighting that sporting organisations should embrace this reality by promoting their values, orienting their actions towards a common good, playing an active role advancing society and ultimately fostering and enriching communities. (shrink)

This article captures and critiques a recurring and prominent political argument against animal welfare improvements in Switzerland which we term the “ranking argument”. This states that Swiss animal welfare law ranks among the strictest in the world, therefore no improvements are called for. This argument was advanced three times by Swiss government authorities in 2022 alone, but also in a case dating back to 1984, to advise the electorate on popular initiatives aiming at animal welfare improvements. We argue that, while (...) the argument commits a fallacy of relative privation and is ethically dubious, it can be deployed to great effect by agents opposed to norm change in animal welfare regulation. We conclude with some thoughts on how the ranking argument can and should be challenged in public discourse. (shrink)

The Triviality Argument against presentism maintains that we should reject presentism because there is no way to define the view that is not either trivially true or obviously false. We suggest that this style of argument over-emphasises purely linguistic means of representing a philosophical thesis. We argue that there is no reason to suppose that all philosophical theses must be linguistically representable, and thus that the failure to linguistically represent presentism is no big deal. It certainly shouldn’t lead us to (...) reject the view. We offer a more general moral for philosophy, and that is to look beyond purely linguistic methods of representing philosophical views and embrace a wider range of representational media. (shrink)

This paper explores how metaphorical thinking might contribute to an aetiology of florid delusions in psychosis. We argue that this approach helps to account for the path from experience to the delusional assertion, which, though relatively straightforward for monothematic delusions like the Capgras delusion, has always been difficult to account for in florid delusions in psychosis. Our account also helps to account for double book-keeping and the relative agential inertia of the belief.

Religion in education in South Africa and the Netherlands: A comparative study. The aim of this article is the reconstruction and comparison of the historical evolution of the place and role of religion in education in South Africa and in the Netherlands. The article commences with an overview of the historical evolution of the place and role of religion in education, up to the present, and a discussion of the dissatisfaction and objections which could be and which have been levelled (...) against the current situation. The Netherlands has followed a more accommodating policy and practice regarding religious beliefs and diversity than the international norm. While South Africa can learn much from the Dutch approach to the problem of religion in education, this approach has also been challenged in recent times. In both systems, controversy about the accommodation of religion in education has given rise to tension between the notions of freedom, tolerance and accommodation, on the one hand, and the acknowledgement of human rights and the need for social cohesion on the other. Other considerations to be taken into account in this regard are the downsides of providing a partisan, confessional type of education that could hinder learners in maintaining themselves in the outside world. The trend in modern society is towards individualised belief systems, not collective ones. And the warning to be heeded is that the line between education and indoctrination is thin. The current Dutch model, despite the problems that it currently encounters, could provide direction in respect of all these issues. Contribution: The article concludes with an educational-philosophical perspective regarding the question as to how educationists and educators could guide learners to a state where they can independently decide about their personal religious orientation, given the fact that they are now living in a time when relativism prevails, also in terms of religion and faith. (shrink)

Psychologism is the attempt to account for the necessary truths of mathematics in terms of contingent psychological facts. It is widely regarded as a fallacy. Jackendoff's view of reference and truth entails psychologism. Therefore, he needs to either provide a defense of the doctrine, or show that the charge doesn't apply.

The map -- The pursuit of happiness -- Yoga: the battlefield of the self -- Meditation: meet your mind -- The pillars of transformation -- The journey -- Now: look -- Dharma: look within -- Connection: look around -- Forgiveness and gratitude: look back -- Goals: look ahead -- Look again.

While much is written about reading aloud to children, and as a teaching tool, far less is known about the oral reading that adults do at home, at work or in the community. This article presents the results of a national survey into whether, what, how and why adults across Britain may read aloud rather than in silence. Analysing data from 529 questionnaire responses, the article examines the frequency with which different text types are read aloud, the formations in which (...) this is done – alone, with one other person or in a group – and the purposes of reading aloud and being read to, with attention to differences according to gender and age. Findings suggest that reading aloud happens in a number of different ways and for different purposes, across contexts and life domains, and that it has a significant relationship with aspects of the lifecourse and with identity formation and performance. (shrink)

The debates about human free will are traditionally the concern of metaphysics but neuroscientists have recently entered the field arguing that acts of the will are determined by brain events themselves causal products of other events. We examine that claim through the example of free or voluntary switch of perception in relation to the Necker cube. When I am asked to see the cube in one way, I decide whether I will follow the command (or do as I am asked) (...) using skills that reason and language give to me and change my brain states accordingly. The voluntary shift of perspective in seeing the Necker cube this way or that exemplifies the top-down control exercised by a human being on the basis of the role of language and meaning in their activity. It also indicates the lived story that is at the centre of each human consciousness. In the third part of this essay, three arguments are used to undermine metaphysical objections to the very idea of top-down self control. (shrink)

Bibliographic records published by the British Education Index (BEI) between 1957 and 2000 are analysed in the context of a history of the BEI's changing presentation of information about the field. The value of frequency counts for BEI subject terms is discussed, in relation to their potential for revealing trends in the fields of educational studies and information management.

Hardt and Negri's Empire is a welcome and often inspiring antidote to the defeatism that has infected so much of the left. Their analysis includes a number of important insights, such as the capacity of American forms of power to penetrate other states. But their political economy is crude, and the promising discussions they open drift towards an empire without any material center. At the same time, their revolutionary commitments to transformation from below refuses to engage the complexities of agency (...) and organization. In the end we are, disappointingly, left with a virtual empire confronting a virtual proletariat. (shrink)

In this commentary we would like to question (a) Clark and Fischer's characterization of the “social artifact puzzle” – which we consider less puzzling than the authors, and (b) their account of social robots as depictions involving three physical scenes – which to us seems unnecessarily complex. We contrast the authors' model with a more parsimonious account based on attributions.

This paper develops an analysis of non-epistemic deniability. On my analysis, a speaker has non-epistemic deniability for G-ing when non-acknowledgment social norms make it impermissible for others to retaliate against the speaker for G-ing. I identify two kinds of non-acknowledgment norms that generate non-epistemic deniability: two-tracking norms, which function to contain conflict within a group, and open secrecy norms, which function to inhibit the group from acting on shared knowledge. Narrowly, this paper builds on Alexander Dinges and Julia Zakkou’s recent (...) landmark analysis of deniability. Dinges and Zakkou argue that non-epistemic deniability does not exist. I disagree. But I also use their account of epistemic deniability in order to motivate my own analysis of non-epistemic deniability. Broadly, my paper provides a case study in how speakers strategically leverage non-acknowledgment norms in order to protect their own interests at the expense of others’. (shrink)

Transnational food retailers expanded to middle-income countries over recent decades responding to supply and demand. Control in new markets diffuses along three axes: socio-economic, geographic, and product category. We used a mixed method approach to study the progression of modern retail in Thailand on these three axes and consumer preferences for food retailing. In Thailand modern retail controls half the food sales but traditional fresh markets remain important. Quantitative questionnaires administered to members of a large national cohort study revealed around (...) half of respondents were primarily traditional shoppers and half either utilized modern and traditional formats equally or primarily shopped at supermarkets. Fresh foods were mainly purchased at traditional retail formats and dry packaged foods at supermarkets. Qualitative interviews found price and quality of produce and availability of culturally important products to be significant reasons for continued support of fresh markets. Our results show socio-economic and geographic diffusion is already advanced with most respondents having access to and utilizing modern retail. Control of the fresh food sector by transnationals faces barriers in Thailand and may remain elusive. The short to mid-term outcome may be a bifurcated food system with modern and traditional retail each retaining market share, but fresh markets longer term survival may require government assistance as supermarkets become more established. Fresh markets supply affordable, healthy foods, and livelihoods for poorer Thais and are repositories of Thai food culture and social networks. If they survive they will confer cultural, social, economic, and health benefits. (shrink)