Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'A Completeness Theorem in Modal Logic' and 'Morality, Action, and Outcome'

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16 ideas

4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
10163 Propositional modal logic has been proved to be complete [Kripke, by Feferman/Feferman]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / a. Systems of modal logic
10760 With possible worlds, S4 and S5 are sound and complete, but S1-S3 are not even sound [Kripke, by Rossberg]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
16189 The variable domain approach to quantified modal logic invalidates the Barcan Formula [Kripke, by Simchen]
15132 The Barcan formulas fail in models with varying domains [Kripke, by Williamson]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 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
17887 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
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
20. Action / C. Motives for Action / 5. Action Dilemmas / b. Double Effect
22465 We see a moral distinction between doing and allowing to happen [Foot]
22466 We see a moral distinction between our aims and their foreseen consequences [Foot]
22467 Acts and omissions only matter if they concern doing something versus allowing it [Foot]
23. Ethics / B. Contract Ethics / 1. Contractarianism
22470 A good moral system benefits its participants, and so demands reciprocity [Foot]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
22468 Virtues can have aims, but good states of affairs are not among them [Foot]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
22469 Some virtues imply rules, and others concern attachment [Foot]