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Ideas for 'fragments/reports', 'Letters to the Lord Marquis of Newcastle' and 'System of Logic'

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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

8742	The only axioms needed are for equality, addition, and successive numbers [Mill, by Shapiro]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic

9800	Arithmetic is based on definitions, and Sums of equals are equal, and Differences of equals are equal [Mill]