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The epistemic significance of numerals

Synthese 198 (Suppl 5):1019-1045 (2014)

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Giving the Value of a Variable.Richard Lawrence - 2021 - Kriterion - Journal of Philosophy 35 (2):135-150.details What does it mean to ‘give’ the value of a variable in an algebraic context, and how does giving the value of a variable differ from merely describing it? I argue that to answer this question, we need to examine the role that giving the value of a variable plays in problem-solving practice. I argue that four different features are required for a statement to count as giving the value of a variable in the context of solving an elementary algebra (...) Download Export citation Bookmark
On the Buck-Stopping Identification of Numbers.Dongwoo Kim - 2021 - Philosophia Mathematica 29 (2):234-255.details Kripke observes that the decimal numerals have the buck-stopping property: when a number is given in decimal notation, there is no further question of what number it is. What makes them special in this way? According to Kripke, it is because of structural revelation: each decimal numeral represents the structure of the corresponding number. Though insightful, I argue, this account has some counterintuitive consequences. Then I sketch an alternative account of the buck-stopping property in terms of how we specify the (...) Download Export citation Bookmark

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