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  1. Modeling Magnitude Discrimination: Effects of Internal Precision and Attentional Weighting of Feature Dimensions.Emily M. Sanford, Chad M. Topaz & Justin Halberda - 2024 - Cognitive Science 48 (2):e13409.
    Given a rich environment, how do we decide on what information to use? A view of a single entity (e.g., a group of birds) affords many distinct interpretations, including their number, average size, and spatial extent. An enduring challenge for cognition, therefore, is to focus resources on the most relevant evidence for any particular decision. In the present study, subjects completed three tasks—number discrimination, surface area discrimination, and convex hull discrimination—with the same stimulus set, where these three features were orthogonalized. (...)
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  • Weighted numbers.Mila Marinova, Marta Fedele & Bert Reynvoet - 2021 - Behavioral and Brain Sciences 44.
    Clarke and Beck discuss in their sections on congruency and confounds literature that has challenged the claim that the approximate number system represents numerical content. We argue that the propositions put forward by these studies aren't that far from the indirect model of number perception suggested by C&B.
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  • 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 or exotic substitutes for (...)
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  • The relative salience of numerical and non-numerical dimensions shifts over development: A re-analysis of.Lauren S. Aulet & Stella F. Lourenco - 2021 - Cognition 210 (C):104610.
  • Perceived number is not abstract.Lauren S. Aulet & Stella F. Lourenco - 2021 - Behavioral and Brain Sciences 44.
    To support the claim that the approximate number system represents rational numbers, Clarke and Beck argue that number perception is abstract and characterized by a second-order character. However, converging evidence from visual illusions and psychophysics suggests that perceived number is not abstract, but rather, is perceptually interdependent with other magnitudes. Moreover, number, as a concept, is second-order, but number, as a percept, is not.
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