Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Deflationary Metaontology of Thomasson' and 'Ethical Studies'

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9 ideas

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 / 2. Happiness / d. Routes to happiness

5655	Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton]