Combining Texts

All the ideas for 'Taking Rights Seriously', 'The Fragmentation of Value' and 'Principles of Arithmetic, by a new method'

expand these ideas     |    start again     |     specify just one area for these texts


9 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
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
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
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
There is no one theory of how to act (or what to believe) [Nagel]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Dworkin believed we should promote equality, to increase autonomy [Dworkin, by Kekes]
25. Social Practice / B. Equalities / 1. Grounds of equality
We can treat people as equals, or actually treat them equally [Dworkin, by Grayling]
Treating people as equals is the one basic value of all plausible political theories [Dworkin, by Kymlicka]