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Ideas for 'fragments/reports', 'Intro to 'The Reason's Proper Study'' and 'Springs of Action'

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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

10624

The incompletability of formal arithmetic reveals that logic also cannot be completely characterized [Hale/Wright]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique

10629

If structures are relative, this undermines truth-value and objectivity [Hale/Wright]

10628

The structural view of numbers doesn't fit their usage outside arithmetical contexts [Hale/Wright]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism

10622

The neo-Fregean is more optimistic than Frege about contextual definitions of numbers [Hale/Wright]