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Magnitudes: Metaphysics, Explanation, and Perception

In Annalisa Coliva, Volker Munz & Danièle Moyal-Sharrock (eds.), Mind, Language and Action: Proceedings of the 36th International Wittgenstein Symposium. De Gruyter. pp. 357-388 (2015)

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  1. The Representations of the Approximate Number System.Stefan Buijsman - 2021 - Philosophical Psychology 34 (2):300-317.
    The Approximate Number System (ANS) is a system that allows us to distinguish between collections based on the number of items, though only if the ratio between numbers is high enough. One of the questions that has been raised is what the representations involved in this system represent. I point to two important constraints for any account: (a) it doesn’t involve numbers, and (b) it can account for the approximate nature of the ANS. Furthermore, I argue that representations of pure (...)
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  • Frege’s Constraint and the Nature of Frege’s Foundational Program.Marco Panza & Andrea Sereni - 2019 - Review of Symbolic Logic 12 (1):97-143.
    Recent discussions on Fregean and neo-Fregean foundations for arithmetic and real analysis pay much attention to what is called either ‘Application Constraint’ or ‘Frege Constraint’, the requirement that a mathematical theory be so outlined that it immediately allows explaining for its applicability. We distinguish between two constraints, which we, respectively, denote by the latter of these two names, by showing how$AC$generalizes Frege’s views while$FC$comes closer to his original conceptions. Different authors diverge on the interpretation of$FC$and on whether it applies to (...)
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  • Shape Perception in a Relativistic Universe.Peter Fisher Epstein - 2018 - Mind 127 (506):339-379.
    According to Minkoswki, Einstein's special theory of relativity reveals that ‘space by itself, and time by itself are doomed to fade away into mere shadows’. But perceptual experience represents objects as instantiating shapes like squareness — properties of ‘space by itself’. Thus, STR seems to threaten the veridicality of shape experience. In response to this worry, some have argued that we should analyze the contents of our spatial experiences on the model of traditional secondary qualities. On this picture—defended in recent (...)
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  • Post-Perceptual Confidence and Supervaluative Matching Profile.Tony Cheng - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy:1-29.
    ABSTRACTIssues concerning the putative perception/cognition divide are not only age-old, but also resurface in contemporary discussions in various forms. In this paper, I connect a relatively new d...
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