Larger,smaller, odd or even? Task-specific effects of optokinetic stimulation on the mental number space

Previous studies have shown that number processing can induce spatial biases in perception and action and can trigger the orienting of visuospatial attention. Few studies, however, have investigated how spatial processing and visuospatial attention influences number processing. In the present study, we used the optokinetic stimulation (OKS) technique to trigger eye movements and thus overt orienting of visuospatial attention. Participants were asked to stare at OKS, while performing parity judgements (Experiment 1) or number comparison (Experiment 2), two numerical tasks that differ in terms of demands on magnitude processing. Numerical stimuli were acoustically presented, and participants responded orally. We examined the effects of OKS direction (leftward or rightward) on number processing. The results showed that rightward OKS abolished the classic number size effect (i.e., faster reaction times for small than large numbers) in the comparison task, whereas the parity task was unaffected by OKS direction. The effect of OKS highlights a link between visuospatial orienting and processing of number magnitude that is complementary to the more established link between numerical and visuospatial processing. We suggest that the bidirectional link between numbers and space is embodied in the mechanisms subserving sensorimotor transformations for the control of eye movements and spatial attention.     

Nominalistic content,grounding, and covering generalizations: Reply to ‘Grounding and the indispensability argument’

‘Grounding and the indispensability argument’ presents a number of ways in which nominalists can use the notion of grounding to rebut the indispensability argument for the existence of mathematical objects. I will begin by considering the strategy that puts grounding to the service of easy-road nominalists (“Nominalistic content meets grounding” section). I will give some support to this strategy by addressing a worry some may have about it (“A misguided worry about the grounding strategy” section). I will then consider a problem for the fast-lane strategy (“Grounding and generality: a problem for the fast lane” section) and a problem for easy-road nominalists willing to accept Liggins’ grounding strategy (“More on the grounding strategy and easy-road nominalism” section). Both are related to the problem of formulating nominalistic explanations at the right level of generality. I will then consider a problem that Liggins only hints at (“Mathematics and covering generalizations” section). This problem has to do with mathematics’ function of providing the sort of covering generalizations we need in scientific explanations.     

‘At first I was overwhelmed,but then—I have to say—I did almost enjoy it’. Psychological needs satisfaction and vitality of student teachers during the first Covid-19 lockdown

Social Psychology of Education - According to Self-Determination Theory, the satisfaction of the three basic psychological needs (BPN) is crucial for optimal personal and academic development, as...     

The Repeatability Argument and the Non-Extensional Bundle Theory

I present a new objection to Bundle Theory. The objection rests on the repeatability of universals, and targets every version of Bundle Theory that assumes that concrete particulars constituted by the same universals are numerically identical. The only way that bundle theorists can elude this objection is to admit the possibility of distinct bundles constituted by the same universals. If even this view is untenable, then Bundle Theory as such is hopeless. Finally, I show how the present inquiry reshapes the dialectical relationship between Bundle Theory and the principle of Identity of Indiscernibles.     

What fits into a mirror: Naïve beliefs about the field of view

Research on na?ve physics and na?ve optics have shown that people hold surprising beliefs about everyday phenomena that are in contrast with what they see. In this article, we investigated what adults expect to be the field of view of a mirror from various viewpoints. The studies presented here confirm that humans have difficulty dealing with the role of the viewpoint in reflections and consistently prove that predictions are dominated by two patterns and a frontal bias. The majority of adults correctly predict that, from a central viewpoint, the space reflected in a mirror expands beyond the orthogonal projections to both its edges. For eccentric viewpoints, half of the participants expected a different (correct) behavior, while the other half also predicted, in this case, expansion at both edges. This means that, contrary to what happens in reality, they expected the mirror to show the space that is orthogonally in front of it and also beyond it, whatever the position of the observer (frontal bias). The error also persisted after the observation of a real reflection. However, this was not found to be true with windows. Performance improved when participants were asked to recognize the correct answer out of a series of alternatives (in this condition, only a quantitative error persisted). In both tasks (production and recognition of the correct response), people relied on imagination or memory and not on the application of the optical rule that angle of reflection equals the angle of incidence. (PsycINFO Database Record (c) 2012 APA, all rights reserved).     

Space coding for sensorimotor transformations can emerge through unsupervised learning

The posterior parietal cortex (PPC) is fundamental for sensorimotor transformations because it combines multiple sensory inputs and posture signals into different spatial reference frames that drive motor programming. Here, we present a computational model mimicking the sensorimotor transformations occurring in the PPC. A recurrent neural network with one layer of hidden neurons (restricted Boltzmann machine) learned a stochastic generative model of the sensory data without supervision. After the unsupervised learning phase, the activity of the hidden neurons was used to compute a motor program (a population code on a bidimensional map) through a simple linear projection and delta rule learning. The average motor error, calculated as the difference between the expected and the computed output, was less than 3°. Importantly, analyses of the hidden neurons revealed gain-modulated visual receptive fields, thereby showing that space coding for sensorimotor transformations similar to that observed in the PPC can emerge through unsupervised learning. These results suggest that gain modulation is an efficient coding strategy to integrate visual and postural information toward the generation of motor commands.     

Dicing with Saul Kripke

Everyone knows what David Lewis’ possible worlds are, what role they play in his account of possibility and necessity, and Saul Kripke’s criticisms. But what, instead, are Kripke’s possible worlds, and what role do they play in his account of possibility and necessity? The answers are not so obvious. Recently, it has even been claimed that, contrary to what is standardly assumed, Kripke’s approach to modality has not always been consistently metaphysical. In particular, an interpretation of the famous passage in the preface to Naming and Necessity with Kripke’s discussion of the dice example has been put forward, according to which he purports there to clarify the modal notions in terms of that of possible world, model-theoretically construed, in a way which is reminiscent of Carnap’s. In this paper, I shall point out some internal difficulties of this interpretation, and offer a different one, according to which in the dice passage Kripke is trying, consistently with his metaphysical approach, to legitimize the technically useful notion of possible world starting from modal notions, to be accounted for in another way (arguably, in an essentialistic framework). My final goal, however, will be philosophical elucidation rather than mere exegesis. Indeed, I am interested in shedding some light on what possible worlds might possibly be, if something like Kripke’s metaphysical approach is on the right track.     

Evaluation and training of Executive Functions in genocide survivors. The case of Yazidi children

Executive Functions (EFs) development is critically affected by stress and trauma, as well as the socioeconomic context in which children grow up (Welsh, Nix, Blair, Bierman, & Nelson, 2010, Journal of Educational Psychology, 102 , 43–53). Research in this field is surprisingly lacking in relation to war contexts. This study represents a first attempt at addressing this topic by evaluating EFs in Yazidi children. The Yazidi community is an ethnic and religious minority living in Iraq. From August 2014 onwards, the Yazidi community has been the target of several atrocities perpetrated by ISIS and described as genocide by the international community at large. The University of Trieste, thanks to a program financed by the Friuli Venezia Giulia Region, developed a study aimed at (a) evaluating hot and cool EFs in children living in a war context and (b) developing a specific training method to enhance hot and cool EFs in Yazidi children of preschool age (N = 53). Data related to this group of children were compared with a sample of typically developing Italian children randomly assigned to either an EFs training group (N = 55) or a passive control group (N = 51). Results indicate different baselines in EFs in Yazidi and Italian samples and a significant effect of the program on both trained groups, especially in tasks measuring hot EFs. Data are discussed in terms of hot and cool EFs in children growing in adverse environments, as well as the evaluation of educational and developmental opportunities to prevent children who survived genocide from becoming a ‘lost generation’. A video abstract of this article can be viewed at https://youtu.be/7t_08TbxR_8 .