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Ideas for 'Two Problems of Epistemology', 'Logicism in the 21st Century' and 'The Will to Power (notebooks)'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units

20361

We need 'unities' for reckoning, but that does not mean they exist [Nietzsche]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle

8784	Neo-logicism founds arithmetic on Hume's Principle along with second-order logic [Hale/Wright]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem

8787	The Julius Caesar problem asks for a criterion for the concept of a 'number' [Hale/Wright]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

8788	Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright]

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

8783	Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright]

6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics

4533	Logic and maths refer to fictitious entities which we have created [Nietzsche]