Combining Texts

All the ideas for 'Mechanism, purpose and explan. exclusion', 'Economy and Society' and 'Principles of Arithmetic, by a new method'

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7 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]
14. Science / D. Explanation / 1. Explanation / a. Explanation
14470 Explanatory exclusion: there cannot be two separate complete explanations of a single event [Kim]
24. Political Theory / C. Ruling a State / 1. Social Power
21132 Domination is probable obedience by some group of persons [Weber]