Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Barcan Formula and Metaphysics' and 'Intro to 'Creating the Kingdom of Ends''

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15 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The Barcan Formulas express how to combine modal operators with classical quantifiers [Simchen]
The Barcan Formulas are orthodox, but clash with the attractive Actualist view [Simchen]
BF implies that if W possibly had a child, then something is possibly W's child [Simchen]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
Serious Actualism says there are no facts at all about something which doesn't exist [Simchen]
16. Persons / A. Concept of a Person / 4. Persons as Agents
A person viewed as an agent makes no sense without its own future [Korsgaard]
To make sense of personal identity, focus on agency rather than experience [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]