Combining Texts

All the ideas for 'Events and Their Names', 'Principles of Arithmetic, by a new method' and 'Intro to 'Creating the Kingdom of Ends''

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12 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]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
Events are made of other things, and are not fundamental to ontology [Bennett]
16. Persons / A. Concept of a Person / 4. Persons as Agents
To make sense of personal identity, focus on agency rather than experience [Korsgaard]
A person viewed as an agent makes no sense without its own future [Korsgaard]
20. Action / A. Definition of Action / 1. Action Theory
Theory of action focuses on explanation and prediction; practical action on justification and choice [Korsgaard]
22. Metaethics / B. Value / 2. Values / i. Self-interest
Self-concern may be a source of pain, or a lack of self-respect, or a failure of responsibility [Korsgaard]
23. Ethics / A. Egoism / 1. Ethical Egoism
Personal concern for one's own self widens out into concern for the impersonal [Korsgaard]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Facts are about the world, not in it, so they can't cause anything [Bennett]