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Multi-digit Number Processing

In Roi Cohen Kadosh & Ann Dowker (eds.), The Oxford Handbook of Numerical Cognition. Oxford University Press UK (2015)

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  1. Behavioural and heuristic models are as-if models too – and that’s ok.Ivan Moscati - 2024 - Economics and Philosophy 40 (2):279-309.
    I examine some behavioural and heuristic models of individual decision-making and argue that the diverse psychological mechanisms these models posit are too demanding to be implemented, either consciously or unconsciously, by actual decision makers. Accordingly, and contrary to what their advocates typically claim, behavioural and heuristic models are best understood as ‘as-if’ models. I then sketch a version of scientific antirealism that justifies the practice of as-if modelling in decision theory but goes beyond traditional instrumentalism. Finally, I relate my account (...)
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  • Building blocks for a cognitive science-led epistemology of arithmetic.Stefan Buijsman - 2021 - Philosophical Studies 179 (5):1-18.
    In recent years philosophers have used results from cognitive science to formulate epistemologies of arithmetic :5–18, 2001). Such epistemologies have, however, been criticised, e.g. by Azzouni, for interpreting the capacities found by cognitive science in an overly numerical way. I offer an alternative framework for the way these psychological processes can be combined, forming the basis for an epistemology for arithmetic. The resulting framework avoids assigning numerical content to the Approximate Number System and Object Tracking System, two systems that have (...)
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  • How numerals support new cognitive capacities.Stefan Buijsman - 2020 - Synthese 197 (9):3779-3796.
    Mathematical cognition has become an interesting case study for wider theories of cognition. Menary :1–20, 2015) argues that arithmetical cognition not only shows that internalist theories of cognition are wrong, but that it also shows that the Hypothesis of Extended Cognition is right. I examine this argument in more detail, to see if arithmetical cognition can support such conclusions. Specifically, I look at how the use of numerals extends our arithmetical abilities from quantity-related innate systems to systems that can deal (...)
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  • Word problems: a review of linguistic and numerical factors contributing to their difficulty. [REVIEW]Gabriella Daroczy, Magdalena Wolska, Walt Detmar Meurers & Hans-Christoph Nuerk - 2015 - Frontiers in Psychology 6.
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  • A Taxonomy Proposal for Types of Interactions of Language and Place-Value Processing in Multi-Digit Numbers.Julia Bahnmueller, Hans-Christoph Nuerk & Korbinian Moeller - 2018 - Frontiers in Psychology 9.
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  • Learning the Natural Numbers as a Child.Stefan Buijsman - 2017 - Noûs 53 (1):3-22.
    How do we get out knowledge of the natural numbers? Various philosophical accounts exist, but there has been comparatively little attention to psychological data on how the learning process actually takes place. I work through the psychological literature on number acquisition with the aim of characterising the acquisition stages in formal terms. In doing so, I argue that we need a combination of current neologicist accounts and accounts such as that of Parsons. In particular, I argue that we learn the (...)
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  • On the limits of language influences on numerical cognition – no inversion effects in three-digit number magnitude processing in adults.Julia Bahnmueller, Korbinian Moeller, Anne Mann & Hans-Christoph Nuerk - 2015 - Frontiers in Psychology 6.
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  • Acquiring mathematical concepts: The viability of hypothesis testing.Stefan Buijsman - 2021 - Mind and Language 36 (1):48-61.
    Can concepts be acquired by testing hypotheses about these concepts? Fodor famously argued that this is not possible. Testing the correct hypothesis would require already possessing the concept. I argue that this does not generally hold for mathematical concepts. I discuss specific, empirically motivated, hypotheses for number concepts that can be tested without needing to possess the relevant number concepts. I also argue that one can test hypotheses about the identity conditions of other mathematical concepts, and then fix the application (...)
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  • Symbolic Processing Mediates the Relation Between Non-symbolic Processing and Later Arithmetic Performance.Sabrina Finke, H. Harald Freudenthaler & Karin Landerl - 2020 - Frontiers in Psychology 11.
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