Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'On Recent German Literature. Fragments' and 'Philosophy of Mind: 1950-2000'

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


12 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Thoughts are learnt through words, so language shows the limits and shape of our knowledge [Herder]
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 / E. Structures of Logic / 1. Logical Form
We now have a much more sophisticated understanding of logical form in language [Burge]
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]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
Anti-individualism says the environment is involved in the individuation of some mental states [Burge]
Broad concepts suggest an extension of the mind into the environment (less computer-like) [Burge]
16. Persons / C. Self-Awareness / 2. Knowing the Self
Anti-individualism may be incompatible with some sorts of self-knowledge [Burge]
17. Mind and Body / C. Functionalism / 1. Functionalism
Some qualities of experience, like blurred vision, have no function at all [Burge]