Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Eliminative Materialism and Prop. Attitudes' and 'The Absurd'

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


11 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
If your life is to be meaningful as part of some large thing, the large thing must be meaningful [Nagel]
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]
13. Knowledge Criteria / C. External Justification / 8. Social Justification
Justifications come to an end when we want them to [Nagel]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
Folk psychology may not be reducible, but that doesn't make it false [Kirk,R on Churchland,PM]
Eliminative materialism says folk psychology will be replaced, not reduced [Churchland,PM]
23. Ethics / F. Existentialism / 2. Nihilism
If a small brief life is absurd, then so is a long and large one [Nagel]