Combining Texts

All the ideas for 'Deflationary Metaontology of Thomasson', 'On the Question of Absolute Undecidability' and 'Against the Ethicists (one book)'

expand these ideas     |    start again     |     specify just one area for these texts

12 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
22752 Reasoning is impossible without a preconception [Sext.Empiricus]
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]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
14082 No sortal could ever exactly pin down which set of particles count as this 'cup' [Schaffer,J]
9. Objects / F. Identity among Objects / 6. Identity between Objects
14081 Identities can be true despite indeterminate reference, if true under all interpretations [Schaffer,J]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
22754 Saying the good is useful or choiceworth or happiness-creating is not the good, but a feature of it [Sext.Empiricus]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
22755 Like a warming fire, what is good by nature should be good for everyone [Sext.Empiricus]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
22756 If a desire is itself desirable, then we shouldn't desire it, as achieving it destroys it [Sext.Empiricus]