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Ideas from 'Review of Frege's 'Grundlagen'' by George Cantor [1885], by Theme Structure

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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
9992 The 'extension of a concept' in general may be quantitatively completely indeterminate
                        Full Idea: The author entirely overlooks the fact that the 'extension of a concept' in general may be quantitatively completely indeterminate. Only in certain cases is the 'extension of a concept' quantitatively determinate.
                        From: George Cantor (Review of Frege's 'Grundlagen' [1885], 1932:440), quoted by William W. Tait - Frege versus Cantor and Dedekind
                        A reaction: Cantor presumably has in mind various infinite sets. Tait is drawing our attention to the fact that this objection long precedes Russell's paradox, which made the objection more formal (a language Frege could understand!).