Combining Texts

All the ideas for 'Hobbes', 'Political Philosophy: all that matters' and 'Principles of Arithmetic, by a new method'

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10 ideas

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]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
7413 Without confidence in our beliefs, how should we actually live? [Tuck]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
20582 World government needs a shared global identity [Oksala]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
20568 The principles Rawls arrives at do not just conform to benevolence, but also result from choices [Oksala]
24. Political Theory / D. Ideologies / 2. Anarchism
20578 Anarchists prefer local and communal government [Oksala]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
20574 Utilitarianism neglects responsibility, duties and rights [Oksala]