Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'works' and 'On 'Insolubilia' and their solution'

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14 ideas

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]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / c. Logical sets
The 'no classes' theory says the propositions just refer to the members [Russell]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
Richard's puzzle uses the notion of 'definition' - but that cannot be defined [Russell]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
Vicious Circle: what involves ALL must not be one of those ALL [Russell]
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 / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
How does anything get outside itself? [Fodor, by Martin,CB]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Is intentionality outwardly folk psychology, inwardly mentalese? [Lyons on Fodor]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
Are beliefs brains states, but picked out at a "higher level"? [Lyons on Fodor]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
Is thought a syntactic computation using representations? [Fodor, by Rey]
18. Thought / C. Content / 1. Content
Maybe narrow content is physical, broad content less so [Lyons on Fodor]