Combining Texts

All the ideas for 'fragments/reports', 'Toward a Philosophy of History' and 'Principles of Arithmetic, by a new method'

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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]

7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)

20752

For man, being is not what he is, but what he is going to be [Ortega y Gassett]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature

20756

Instead of having a nature, man only has a history [Ortega y Gassett]

23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue

467	A virtue is a combination of intelligence, strength and luck [Ion]