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All the ideas for 'works (fragments)', 'works' and 'The Principles of Science'

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7 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
3338 Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
5897 0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
8628 I hold that algebra and number are developments of logic [Jevons]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
6012 We must choose in which of the virtues we wish to excel [Panaetius]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / b. Living naturally
6013 Panaetius said we should live according to our natural starting-points [Panaetius, by Asmis]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
6014 Panaetius identified courage with great-mindedness, preferring civic courage to military [Panaetius, by Asmis]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
5888 Souls are born, since they are sensitive and inherited, so they must perish [Panaetius, by Cicero]