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Ideas for 'fragments/reports', 'Logical Atomism' and 'Category Mistakes'

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2 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
Some suggest that the Julius Caesar problem involves category mistakes [Magidor]
     Full Idea: Various authors have argued that identity statements arising in the context of the 'Julius Caesar' problem in philosophy of mathematics constitute category mistakes.
     From: Ofra Magidor (Category Mistakes [2013], 1.1 n1)
     A reaction: [She cites Benacerraf 1965 and Shapiro 1997:79]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Maths can be deduced from logical axioms and the logic of relations [Russell]
     Full Idea: I think that no one will dispute that from certain ideas and axioms of formal logic, but with the help of the logic of relations, all pure mathematics can be deduced.
     From: Bertrand Russell (Logical Atomism [1924], p.145)
     A reaction: It has been said for a long time that Gödel's Incompleteness Theorems of 1930 disproved this claim, though recently there have been defenders of logicism. Beginning with 'certain ideas' sounds like begging the question.