Combining Texts

All the ideas for 'Cosmic Apprentice', 'Personal Identity and Individuation' and 'On the Question of Absolute Undecidability'

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

---

8 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism

16567

Scientists know everything about nothing, philosophers nothing about everything [Sagan,D]

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]

16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity

7946	The memory criterion has a problem when one thing branches into two things [Williams,B, by Macdonald,C]