Results for 'Mental number line'

999 found
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  1.  24
    Ancestral Mental Number Lines: What Is the Evidence?Rafael Núñez & Wim Fias - 2017 - Cognitive Science 41 (8):2262-2266.
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  2.  62
    Calibrating the mental number line.Véronique Izard & Stanislas Dehaene - 2008 - Cognition 106 (3):1221-1247.
    Human adults are thought to possess two dissociable systems to represent numbers: an approximate quantity system akin to a mental number line, and a verbal system capable of representing numbers exactly. Here, we study the interface between these two systems using an estimation task. Observers were asked to estimate the approximate numerosity of dot arrays. We show that, in the absence of calibration, estimates are largely inaccurate: responses increase monotonically with numerosity, but underestimate the actual numerosity. However, (...)
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  3.  24
    The mental number line: exact and approximate.Wim Fias & Tom Verguts - 2004 - Trends in Cognitive Sciences 8 (10):447-448.
    Comments on an article by Feigenson et. al.(see record 2004-18473-007). Reviewing behavioral and neural data in children, humans and animals, Feigenson and colleagues distinguish two core systems for number representation. One system represents number in an exact way but has a fixed upper limit; the other system has no size limit but represents number only approximately. Both systems are claimed to have a phylogenetic origin and to constitute the basis for ontogenetic development. As such, each system's representational (...)
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  4. The mental number line: Exact and approximate The mental number line: Exact and approximate.Wim Fias & Tom Verguts - 2004 - Trends in Cognitive Sciences 8 (10):447-448.
    Comments on an article by Feigenson et. al.(see record 2004-18473-007). Reviewing behavioral and neural data in children, humans and animals, Feigenson and colleagues distinguish two core systems for number representation. One system represents number in an exact way but has a fixed upper limit; the other system has no size limit but represents number only approximately. Both systems are claimed to have a phylogenetic origin and to constitute the basis for ontogenetic development. As such, each system's representational (...)
     
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  5. Mental Number Lines. SNARC Effect. Philosophical Aspects.Katarzyna Patro & Wojciech Krysztofiak - 2013 - Filozofia Nauki 21 (3):45 - +.
  6.  62
    Visuospatial priming of the mental number line.Ivilin Stoianov, Peter Kramer, Carlo Umiltà & Marco Zorzi - 2008 - Cognition 106 (2):770-779.
    It has been argued that numbers are spatially organized along a "mental number line" that facilitates left-hand responses to small numbers, and right-hand responses to large numbers. We hypothesized that whenever the representations of visual and numerical space are concurrently activated, interactions can occur between them, before response selection. A spatial prime is processed faster than a numerical target, and consistent with our hypothesis, we found that such a spatial prime affects non-spatial, verbal responses more when the (...)
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  7.  24
    Decade breaks in the mental number line? Putting the tens and units back in different bins.Hans-Christoph Nuerk, Ulrich Weger & Klaus Willmes - 2001 - Cognition 82 (1):B25-B33.
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  8.  42
    Sampling from the mental number line: How are approximate number system representations formed?Matthew Inglis & Camilla Gilmore - 2013 - Cognition 129 (1):63-69.
    Nonsymbolic comparison tasks are commonly used to index the acuity of an individual's Approximate Number System (ANS), a cognitive mechanism believed to be involved in the development of number skills. Here we asked whether the time that an individual spends observing numerical stimuli influences the precision of the resultant ANS representations. Contrary to standard computational models of the ANS, we found that the longer the stimulus was displayed, the more precise was the resultant representation. We propose an adaptation (...)
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  9.  52
    Commentary: A mental number line in human newborns.Arianna Felisatti, Jochen Laubrock, Samuel Shaki & Martin H. Fischer - 2020 - Frontiers in Human Neuroscience 14.
  10.  12
    The dark and bright side of the numbers: how emotions influence mental number line accuracy and bias.Saied Sabaghypour, Farhad Farkhondeh Tale Navi, Elena Kulkova, Parnian Abaduz, Negin Zirak & Mohammad Ali Nazari - forthcoming - Cognition and Emotion.
    The traditional view of cognition as detached from emotions is recently being questioned. This study aimed to investigate the influence of emotional valence on the accuracy and bias in the representation of numbers on the mental number line (MNL). The study included 164 participants who were randomly assigned into two groups with induced positive and negative emotional valence using matched arousal film clips. Participants performed a computerised number-to-position (CNP) task to estimate the position of numbers on (...)
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  11.  67
    The SNARC effect does not imply a mental number line.Seppe Santens & Wim Gevers - 2008 - Cognition 108 (1):263-270.
    In this study, we directly contrast two approaches that have been proposed to explain the SNARC effect. The traditional direct mapping account suggests that a direct association exists between the position of a number on the mental number line and the location of the response. On the other hand, accounts are considered that propose an intermediate step in which numbers are categorized as either small or large between the number magnitude and the response representations. In (...)
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  12.  69
    The mental time line: An analogue of the mental number line in the mapping of life events.Shahar Arzy, Esther Adi-Japha & Olaf Blanke - 2009 - Consciousness and Cognition 18 (3):781-785.
    A crucial aspect of the human mind is the ability to project the self along the time line to past and future. It has been argued that such self-projection is essential to re-experience past experiences and predict future events. In-depth analysis of a novel paradigm investigating mental time shows that the speed of this “self-projection” in time depends logarithmically on the temporal-distance between an imagined “location” on the time line that participants were asked to imagine and the (...)
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  13.  17
    A synesthetic walk on the mental number line: the size effect.Roi Cohen Kadosh, Joseph Tzelgov & Avishai Henik - 2008 - Cognition 106 (1):548-557.
    Are small and large numbers represented similarly or differently on the mental number line? The size effect was used to argue that numbers are represented differently. However, recently it has been argued that the size effect is due to the comparison task and is not derived from the mental number line per se. Namely, it is due to the way that the mental number line is mapped onto the task-relevant output component. (...)
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  14.  12
    A colorful walk, but is it on the mental number line? Reply to Cohen Kadosh, Tzelgov, and Henik.Tom Verguts & Filip Van Opstal - 2008 - Cognition 106 (1):558-563.
    Cohen Kadosh, Tzelgov, and Henik [Cohen Kadosh, R., Tzelgov, J., and Henik, A. (2008). A synesthetic walk on the number line: The size effect. Cognition, 106, 548-557] present a new paradigm to probe properties of the mental number line. They describe two experiments which they argue to be inconsistent with the exact small number model proposed by Verguts, Fias, and Stevens [Verguts, T., Fias, W., Stevens, M. (2005). A model of exact small-number representation. (...)
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  15.  30
    Minds without language represent number through space: origins of the mental number line.Maria Dolores de Hevia, Luisa Girelli & Viola Macchi Cassia - 2012 - Frontiers in Psychology 3.
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  16.  36
    The Developing Mental Number Line: Does Its Directionality Relate to 5- to 7-Year-Old Children’s Mathematical Abilities? [REVIEW]Lauren S. Aulet & Stella F. Lourenco - 2018 - Frontiers in Psychology 9.
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  17.  17
    Piece of Evidence. Commentary: Ancestral Mental Number Lines: What Is the Evidence?Rosa Rugani, Giorgio Vallortigara, Konstantinos Priftis & Lucia Regolin - 2016 - Frontiers in Psychology 7.
  18.  14
    Reconstructing the origins of the space-number association: spatial and number-magnitude codes must be used jointly to elicit spatially organised mental number lines.Mario Pinto, Michele Pellegrino, Fabio Marson, Stefano Lasaponara & Fabrizio Doricchi - 2019 - Cognition 190 (C):143-156.
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  19.  25
    Newborn chicks need no number tricks. Commentary: Number-space mapping in the newborn chick resembles humans' mental number line.Samuel Shaki & Martin H. Fischer - 2015 - Frontiers in Human Neuroscience 9.
  20.  13
    Response: “Newborn chicks need no number tricks. Commentary: Number-space mapping in the newborn chick resembles humans' mental number line”.Rosa Rugani, Giorgio Vallortigara, Konstantinos Priftis & Lucia Regolin - 2016 - Frontiers in Human Neuroscience 10.
  21.  81
    Why spatial-numeric associations aren't evidence for a mental number line.David H. Landy, Erin L. Jones & John E. Hummel - 2008 - In B. C. Love, K. McRae & V. M. Sloutsky (eds.), Proceedings of the 30th Annual Conference of the Cognitive Science Society. Cognitive Science Society. pp. 357--362.
  22.  10
    A colorful walk on the mental number line: Striving for the right direction.Roi Cohen Kadosh, Joseph Tzelgov & Avishai Henik - 2008 - Cognition 106 (1):564-567.
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  23.  29
    Algebraic Models of Mental Number Axes: Part II.Wojciech Krysztofiak - 2016 - Axiomathes 26 (2):123-155.
    The paper presents a formal model of the system of number representations as a multiplicity of mental number axes with a hierarchical structure. The hierarchy is determined by the mind as it acquires successive types of mental number axes generated by virtue of some algebraic mechanisms. Three types of algebraic structures, responsible for functioning these mechanisms, are distinguished: BASAN-structures, CASAN-structures and CAPPAN-structures. A foundational order holds between these structures. CAPPAN-structures are derivative from CASAN-structures which are (...)
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  24.  76
    Moving along the mental time line influences the processing of future related words.Matthias Hartmann & Fred W. Mast - 2012 - Consciousness and Cognition 21 (3):1558-1562.
    concepts like numbers or time are thought to be represented in the more concrete domain of space and the sensorimotor system. For example, thinking of past or future events has a physical manifestation in backward or forward body sway, respectively. In the present study, we investigated the reverse effect: can passive whole-body motion influence the processing of temporal information? Participants were asked to categorize verbal stimuli to the concepts future or past while they were displaced forward and backward , or (...)
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  25.  11
    Tracking priors and their replacement: Mental dynamics of decision making in the number-line task.Dror Dotan & Stanislas Dehaene - 2022 - Cognition 224 (C):105069.
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  26.  57
    The role of testimony in mathematics.Line Edslev Andersen, Hanne Andersen & Henrik Kragh Sørensen - 2020 - Synthese 199 (1-2):859-870.
    Mathematicians appear to have quite high standards for when they will rely on testimony. Many mathematicians require that a number of experts testify that they have checked the proof of a result p before they will rely on p in their own proofs without checking the proof of p. We examine why this is. We argue that for each expert who testifies that she has checked the proof of p and found no errors, the likelihood that the proof contains (...)
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  27.  91
    Acceptable gaps in mathematical proofs.Line Edslev Andersen - 2020 - Synthese 197 (1):233-247.
    Mathematicians often intentionally leave gaps in their proofs. Based on interviews with mathematicians about their refereeing practices, this paper examines the character of intentional gaps in published proofs. We observe that mathematicians’ refereeing practices limit the number of certain intentional gaps in published proofs. The results provide some new perspectives on the traditional philosophical questions of the nature of proof and of what grounds mathematical knowledge.
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  28.  66
    Mental Illness and Imagination in Philosophy, Literature, and Psychiatry.Line Joranger - 2013 - Philosophy and Literature 37 (2):507-523.
    Can existential themes, such as anxiety, the will to die, or our simultaneous will to live forever be logically described? Does a literary language or philosophical and psychiatric term exist that can express phenomena nonreferential to the external world? In short, does a genre exist that can redefine the relationships between symbol and meaning? Drawing upon various theoretical perspectives developed by Michel Foucault, Ludwig Binswanger, Gaston Bachelard, and Karl Jaspers, this paper discusses the ability to depict life as we are (...)
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  29.  39
    Outsiders enabling scientific change: learning from the sociohistory of a mathematical proof.Line Edslev Andersen - 2017 - Social Epistemology 31 (2):184-191.
    It has been a common belief among scientists, including mathematicians, that young scientists are especially good at bringing about scientific change. A number of studies suggest, however, that older scientists are not more resistant to change than young scientists are. It is nonetheless worth examining why a scientist’s or mathematician’s outsider status – due to age, educational background, or something else – can sometimes be effective in enabling scientific change. This paper focuses on the case of the solving of (...)
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  30.  7
    The Punished Self, the Unknown Self, and the Harmed Self – Toward a More Nuanced Understanding of Self-Harm Among Adolescent Girls.Line Indrevoll Stänicke - 2021 - Frontiers in Psychology 12.
    Self-harm among adolescents, mostly girls, has increased in the last years. Self-harm is associated with mental illness and the risk of suicide. This qualitative study aims to explore the lived experience of self-harm as it is related to everyday life and challenges among adolescents. Nineteen girls in a clinical population participated in personal interviews analyzed by Interpretative Phenomenological Analysis to capture how they made meaning of self-harm and essential features of experiencing self-harm. Adult persons with the first-hand experience of (...)
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  31.  42
    Left to right: Representational biases for numbers and the effect of visuomotor adaptation.Andrea M. Loftus, Michael E. R. Nicholls, Jason B. Mattingley & John L. Bradshaw - 2008 - Cognition 107 (3):1048-1058.
    Adaptation to right-shifting prisms improves left neglect for mental number line bisection. This study examined whether adaptation affects the mental number line in normal participants. Thirty-six participants completed a mental number line task before and after adaptation to either: left-shifting prisms, right-shifting prisms or control spectacles that did not shift the visual scene. Participants viewed number triplets (e.g. 16, 36, 55) and determined whether the numerical distance was greater on the (...)
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  32.  65
    Reporting the discovery of new chemical elements: working in different worlds, only 25 years apart.K. Brad Wray & Line Edslev Andersen - 2019 - Foundations of Chemistry 22 (2):137-146.
    In his account of scientific revolutions, Thomas Kuhn suggests that after a revolutionary change of theory, it is as if scientists are working in a different world. In this paper, we aim to show that the notion of world change is insightful. We contrast the reporting of the discovery of neon in 1898 with the discovery of hafnium in 1923. The one discovery was made when elements were identified by their atomic weight; the other discovery was made after scientists came (...)
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  33.  8
    The practical ethics of repurposing health data: how to acknowledge invisible data work and the need for prioritization.Sara Green, Line Hillersdal, Jette Holt, Klaus Hoeyer & Sarah Wadmann - 2023 - Medicine, Health Care and Philosophy 26 (1):119-132.
    Throughout the Global North, policymakers invest in large-scale integration of health-data infrastructures to facilitate the reuse of clinical data for administration, research, and innovation. Debates about the ethical implications of data repurposing have focused extensively on issues of patient autonomy and privacy. We suggest that it is time to scrutinize also how the everyday work of healthcare staff is affected by political ambitions of data reuse for an increasing number of purposes, and how different purposes are prioritized. Our analysis (...)
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  34.  22
    Ethics briefing.Charlotte Wilson, Veronica English, Olivia Lines, Ruth Campbell, Julian C. Sheather & Sophie Brannan - 2019 - Journal of Medical Ethics 45 (4):282-283.
    On 26 February 2019, the Organ Donation Bill completed its passage through the Westminster Parliament, creating the legislative basis to introduce an opt-out system for organ donation in England. The Bill now awaits Royal Assent, following which it is anticipated that the new system will come into effect in spring 2020. In the intervening period, there will be a significant publicity campaign to inform the public about the change in the law and the options open to them, which are to: (...)
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  35. Singing Numbers… in Cognitive Space — A Dual‐Task Study of the Link Between Pitch, Space, and Numbers.Martin H. Fischer, Marianna Riello, Bruno L. Giordano & Elena Rusconi - 2013 - Topics in Cognitive Science 5 (2):354-366.
    We assessed the automaticity of spatial-numerical and spatial-musical associations by testing their intentionality and load sensitivity in a dual-task paradigm. In separate sessions, 16 healthy adults performed magnitude and pitch comparisons on sung numbers with variable pitch. Stimuli and response alternatives were identical, but the relevant stimulus attribute (pitch or number) differed between tasks. Concomitant tasks required retention of either color or location information. Results show that spatial associations of both magnitude and pitch are load sensitive and that the (...)
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  36. Number-space mapping in human infants.Elizabeth S. Spelke & William James Hall - unknown
    Mature representations of number are built on a core system of numerical representation that connects to spatial representations in the form of a ‘mental number line’. The core number system is functional in early infancy, but little is known about the origins of the mapping of numbers onto space. Here we show that preverbal infants transfer the discrimination of an ordered series of numerosities to the discrimination of an ordered series of line lengths. Moreover, (...)
     
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  37. The number sense represents (rational) numbers.Sam Clarke & Jacob Beck - 2021 - Behavioral and Brain Sciences 44:1-57.
    On a now orthodox view, humans and many other animals possess a “number sense,” or approximate number system, that represents number. Recently, this orthodox view has been subject to numerous critiques that question whether the ANS genuinely represents number. We distinguish three lines of critique – the arguments from congruency, confounds, and imprecision – and show that none succeed. We then provide positive reasons to think that the ANS genuinely represents numbers, and not just non-numerical confounds (...)
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  38.  6
    Big Archive-Assisted Ensemble of Many-Objective Evolutionary Algorithms.Wen Zhong, Jian Xiong, Anping Lin, Lining Xing, Feilong Chen & Yingwu Chen - 2021 - Complexity 2021:1-17.
    Multiobjective evolutionary algorithms have witnessed prosperity in solving many-objective optimization problems over the past three decades. Unfortunately, no one single MOEA equipped with given parameter settings, mating-variation operator, and environmental selection mechanism is suitable for obtaining a set of solutions with excellent convergence and diversity for various types of MaOPs. The reality is that different MOEAs show great differences in handling certain types of MaOPs. Aiming at these characteristics, this paper proposes a flexible ensemble framework, namely, ASES, which is highly (...)
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  39.  18
    Ethics briefing.Charlotte Wilson, Veronica English, Julian C. Sheather, Ruth Campbell, Olivia Lines & Sophie Brannan - 2019 - Journal of Medical Ethics 45 (2):147-148.
    The British Medical Association and Royal College of Physicians have published new guidance, endorsed by the General Medical Council, on decision-making about clinically assisted nutrition and hydration and adults who lack capacity to consent. The development of the guidance follows a series of legal cases which has created confusion about the precise circumstances in which an application to the court is required before CANH is withdrawn which has culminated with the decision of the Supreme Court in National Health Service Trust (...)
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  40. An extended mind perspective on natural number representation.Helen De Cruz - 2008 - Philosophical Psychology 21 (4):475 – 490.
    Experimental studies indicate that nonhuman animals and infants represent numerosities above three or four approximately and that their mental number line is logarithmic rather than linear. In contrast, human children from most cultures gradually acquire the capacity to denote exact cardinal values. To explain this difference, I take an extended mind perspective, arguing that the distinctly human ability to use external representations as a complement for internal cognitive operations enables us to represent natural numbers. Reviewing neuroscientific, developmental, (...)
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  41.  28
    The Force of Numbers: Investigating Manual Signatures of Embodied Number Processing.Alex Miklashevsky, Oliver Lindemann & Martin H. Fischer - 2021 - Frontiers in Human Neuroscience 14.
    The study has two objectives: to introduce grip force recording as a new technique for studying embodied numerical processing; and to demonstrate how three competing accounts of numerical magnitude representation can be tested by using this new technique: the Mental Number Line, A Theory of Magnitude and Embodied Cognition account. While 26 healthy adults processed visually presented single digits in a go/no-go n-back paradigm, their passive holding forces for two small sensors were recorded in both hands. Spontaneous (...)
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  42.  14
    Ethics briefing.Dominic Norcliffe-Brown, Sophie Brannan, Veronica English, Olivia Lines, Rebecca Mussell & Julian C. Sheather - 2020 - Journal of Medical Ethics 46 (10):707-708.
    An Amnesty International briefing, published in July 2020, highlights the grave risks health workers are facing globally, particularly in the face of the COVID-19 pandemic.1 The report uses data from 63 countries across the world from January to June 2020 and is rich with examples. While recognising that information about the pandemic is constantly evolving, and each country is in a separate phase of the outbreak, Amnesty International draws attention to several troubling trends. By virtue of the role undertaken by (...)
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  43.  6
    Exploring Parental Responses to Pre-schoolers’ “Everyday” Pain Experiences Through Electronic Diary and Ecological Momentary Assessment Methodologies.Grace O’Sullivan, Brian McGuire, Michelle Roche & Line Caes - 2021 - Frontiers in Psychology 12.
    Objective: Parental influence during children’s “everyday” pain events is under-explored, compared to clinical or experimental pains. We trialed two digital reporting methods for parents to record the real-world context surrounding their child’s everyday pain events within the family home.Methods: Parents completed a structured e-diary for 14 days, reporting on one pain event experienced by their child each day, and describing child pain responses, parental supervision, parental estimates of pain severity and intensity, and parental catastrophizing, distress, and behavioral responses. During the (...)
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  44.  15
    Ethics briefings.Charlotte Wilson, Sophie Brannan, Ruth Campbell, Veronica English, Olivia Lines & Julian C. Sheather - 2018 - Journal of Medical Ethics 44 (12):877-878.
    In mid-2018, following a survey of lesbian, gay, bisexual and transgender groups, the UK government issued a consultation on the proposed reform of the Gender Recognition Act for England and Wales.1 When it was first introduced in 2004, the GRA was considered innovative, even world-leading legislation.2 The act enables any adult to seek to change their legal gender provided several criteria are met. These include: If the applicant is successful, he or she is issued with a ‘gender recognition certificate’, their (...)
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  45.  27
    Representational Structures of Arithmetical Thinking: Part I.Wojciech Krysztofiak - 2016 - Axiomathes 26 (1):1-40.
    In this paper, representational structures of arithmetical thinking, encoded in human minds, are described. On the basis of empirical research, it is possible to distinguish four types of mental number lines: the shortest mental number line, summation mental number lines, point-place mental number lines and mental lines of exact numbers. These structures may be treated as generative mechanisms of forming arithmetical representations underlying our numerical acts of reference towards cardinalities, ordinals (...)
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  46.  36
    When 9 is not on the right: Implications from number-form synesthesia.Limor Gertner, Avishai Henik & Roi Cohen Kadosh - 2009 - Consciousness and Cognition 18 (2):366-374.
    Number-form synesthetes consciously experience numbers in spatially-defined locations. For non-synesthete individuals, a similar association of numbers and space appears in the form of an implicit mental number line as signified by the distance effect–reaction time decreases as the numerical distance between compared numbers increases. In the current experiment, three number-form synesthetes and two different non-synesthete control groups performed a number comparison task. Synesthete participants exhibited a sizeable distance effect only when presented numbers were congruent (...)
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  47.  7
    Minding the Matter of Psychokinesis: A Review of Proof- and Process-Oriented Experimental Findings Related to Mental Influence on Random Number Generators. [REVIEW]Bryan J. Williams - 2022 - Journal of Scientific Exploration 35 (4).
    Many experiments have been conducted over the past eight decades to explore whether the ostensible psychic ability of psychokinesis (PK, or "mind over matter") might be a genuine human potential, and the most extensive of these have involved attempts to mentally influence the output of electronic, binary-bit random number generators (RNGs). Research of this type can generally be divided into two lines: proof-oriented (concerned with the accumulation and statistical evaluation of data from controlled experiments designed specifically to test for (...)
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  48. Why We Essentialize Mental Disorders.Pieter R. Adriaens & Andreas De Block - 2013 - Journal of Medicine and Philosophy 38 (2):107-127.
    Essentialism is one of the most pervasive problems in mental health research. Many psychiatrists still hold the view that their nosologies will enable them, sooner or later, to carve nature at its joints and to identify and chart the essence of mental disorders. Moreover, according to recent research in social psychology, some laypeople tend to think along similar essentialist lines. The main aim of this article is to highlight a number of processes that possibly explain the persistent (...)
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  49. Mental Capacity Act Application: Social Care Settings.Michael Dunn & Anthony Holland - 2019 - In Rebecca Jacob, Michael Gunn & Anthony Holland (eds.), Mental Capacity Legislation: Principles and Practice. pp. 82-90.
    -/- Following the Mental Capacity Act (MCA) becoming law in 2005, and prior to its coming into force in 2007, there was a sustained effort to train support staff in the many social care settings where this new law was applicable. This training drive was necessary because, prior to the MCA, mental capacity law had evolved in the courts through consideration of a small number of cases that concerned serious medical treatments. These included the withdrawal of artificial (...)
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  50.  38
    Measuring Mental Entrenchment of Phrases with Perceptual Identification, Familiarity Ratings, and Corpus Frequency Statistics.Catherine Caldwell-Harris & Shimon Edelman - unknown
    Word recognition is the Petri dish of the cognitive sciences. The processes hypothesized to govern naming, identifying and evaluating words have shaped this field since its origin in the 1970s. Techniques to measure lexical processing are not just the back-bone of the typical experimental psychology laboratory, but are now routinely used by cognitive neuroscientists to study brain processing and increasingly by social and clinical psychologists (Eder, Hommel, and De Houwer 2007). Models developed to explain lexical processing have also aspired to (...)
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