Does Frege Have Aristotle's Number?

نویسندگان

چکیده

Abstract Frege argues that number is so unlike the things we accept as properties of external objects it cannot be such a property. In particular, (1) arbitrary in way qualities are not, and (2) not predicated its subjects are. Most Aristotle scholars suppose either has refuted Aristotle's theory or avoids Frege's objections by making numbers objects. This led some to conclude accounts arithmetical geometrical differ substantially. I close this supposed gap showing objects, like just certain sensible qua they fact possess. Specifically, pluralities quantitative relational ten units ten. show view resistant Fregean concerns about arbitrariness numerical predication.

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ژورنال

عنوان ژورنال: Journal of the American Philosophical Association

سال: 2022

ISSN: ['2053-4485', '2053-4477']

DOI: https://doi.org/10.1017/apa.2021.42