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Ideas for 'Function and Concept', 'Properties' and 'A Tour through Mathematical Logic'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

13530

An ordinal is an equivalence class of well-orderings, or a transitive set whose members are transitive [Wolf,RS]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

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Modern mathematics has unified all of its objects within set theory [Wolf,RS]

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

8487	Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]