An Aristotelian notion of size

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An Aristotelian notion of size

The näıve idea of “size” for collections seems to obey both to Aristotle’s Principle: “the whole is greater than its parts” and to Cantor’s Principle: “1-to-1 correspondences preserve size”. Notoriously, Aristotle’s and Cantor’s principles are incompatible for infinite collections. Cantor’s theory of cardinalities weakens the former principle to “the part is not greater than the whole”, but the...

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ژورنال

عنوان ژورنال: Annals of Pure and Applied Logic

سال: 2006

ISSN: 0168-0072

DOI: 10.1016/j.apal.2006.01.008