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All the ideas for 'An Introduction to Hegel', 'Principles of Arithmetic, by a new method' and 'works'

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8 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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
22022 Beauty motivates morality, by harmonising feeling and reason [Schiller, by Pinkard]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
21788 The moral will is self-determining, but the ethical will is met in society [Houlgate]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
7675 Schiller speaks obsessively of freedom throughout his works [Schiller, by Berlin]