Combining Philosophers

All the ideas for Herodotus, Giuseppe Peano and Anon (Ecc)

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13 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
8766 In much wisdom is much grief [Anon (Ecc)]
1. Philosophy / D. Nature of Philosophy / 8. Humour
7494 Laughter is mad; of mirth, what doeth it? [Anon (Ecc)]
8767 Sorrow is better than laughter [Anon (Ecc)]
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
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
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 / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
15653 We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
8765 All is vanity, saith the Preacher [Anon (Ecc)]
25. Social Practice / E. Policies / 5. Education / b. Education principles
8768 Books are endless, and study is wearisome [Anon (Ecc)]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
1513 The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus]