Combining Texts

All the ideas for 'On Duties ('De Officiis')', 'What We Owe to Each Other' and 'Principles of Arithmetic, by a new method'

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9 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
21405 Cicero sees wisdom in terms of knowledge, but earlier Stoics saw it as moral [Cicero, by Long]
1. Philosophy / A. Wisdom / 2. Wise People
20871 Unfortunately we choose a way of life before we are old enough to think clearly [Cicero]
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]
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 / B. Contract Ethics / 9. Contractualism
20992 Right and wrong concerns what other people cannot reasonably reject [Scanlon]
23. Ethics / D. Deontological Ethics / 3. Universalisability
6031 The essence of propriety is consistency [Cicero]