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Ideas for 'Science and Method', 'Category Mistakes' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
A number is a class of classes of the same cardinality [Frege, by Dummett]
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
Some suggest that the Julius Caesar problem involves category mistakes [Magidor]