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  1. From Maximal Intersubjectivity to Objectivity: An Argument from the Development of Arithmetical Cognition.Markus Pantsar - 2022 - Topoi 42 (1):271-281.
    One main challenge of non-platonist philosophy of mathematics is to account for the apparent objectivity of mathematical knowledge. Cole and Feferman have proposed accounts that aim to explain objectivity through the intersubjectivity of mathematical knowledge. In this paper, focusing on arithmetic, I will argue that these accounts as such cannot explain the apparent objectivity of mathematical knowledge. However, with support from recent progress in the empirical study of the development of arithmetical cognition, a stronger argument can be provided. I will (...)
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  • Enculturation and the historical origins of number words and concepts.César Frederico dos Santos - 2021 - Synthese 199 (3-4):9257-9287.
    In the literature on enculturation—the thesis according to which higher cognitive capacities result from transformations in the brain driven by culture—numerical cognition is often cited as an example. A consequence of the enculturation account for numerical cognition is that individuals cannot acquire numerical competence if a symbolic system for numbers is not available in their cultural environment. This poses a problem for the explanation of the historical origins of numerical concepts and symbols. When a numeral system had not been created (...)
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  • The Effect of Language‐Specific Characteristics on English and Japanese Speakers' Ability to Recall Number Information.Minna Kirjavainen, Yuriko Kite & Anna E. Piasecki - 2020 - Cognitive Science 44 (12):e12923.
    The current paper presents two experiments investigating the effect of presence versus absence of compulsory number marking in a native language on a speaker's ability to recall number information from photos. In Experiment 1, monolingual English and Japanese adults were shown a sequence of 110 photos after which they were asked questions about the photos. We found that the English participants showed a significantly higher accuracy rate for questions testing recall for number information when the correct answer was “2” (instead (...)
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  • Why do numbers exist? A psychologist constructivist account.Markus Pantsar - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    In this paper, I study the kind of questions we can ask about the existence of numbers. In addition to asking whether numbers exist, and how, I argue that there is also a third relevant question: why numbers exist. In platonist and nominalist accounts this question may not make sense, but in the psychologist account I develop, it is as well-placed as the other two questions. In fact, there are two such why-questions: the causal why-question asks what causes numbers to (...)
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  • Creating ad hoc graphical representations of number.Sebastian Holt, Judith E. Fan & David Barner - 2024 - Cognition 242 (C):105665.
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  • Re-establishing the distinction between numerosity, numerousness, and number in numerical cognition.César Frederico Dos Santos - 2022 - Philosophical Psychology 35 (8):1152-1180.
    In 1939, the influential psychophysicist S. S. Stevens proposed definitional distinctions between the terms ‘number,’ ‘numerosity,’ and ‘numerousness.’ Although the definitions he proposed were adopted by syeveral psychophysicists and experimental psychologists in the 1940s and 1950s, they were almost forgotten in the subsequent decades, making room for what has been described as a “terminological chaos” in the field of numerical cognition. In this paper, I review Stevens’s distinctions to help bring order to this alleged chaos and to shed light on (...)
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  • Counting and the ontogenetic origins of exact equality.Rose M. Schneider, Erik Brockbank, Roman Feiman & David Barner - 2022 - Cognition 218 (C):104952.
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  • (1 other version)Understanding others requires adaptive thinking: Response to Wierzbicka.Daniel L. Everett - 2012 - Pragmatics and Cognition 20 (2):417-428.
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