Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Mathematical Explanation' and 'Individuals:Essay in Descript Metaphysics'

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15 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Descriptive metaphysics aims at actual structure, revisionary metaphysics at a better structure [Strawson,P]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Descriptive metaphysics concerns unchanging core concepts and categories [Strawson,P]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Close examination of actual word usage is the only sure way in philosophy [Strawson,P]
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]
9. Objects / D. Essence of Objects / 3. Individual Essences
Particular essence is often captured by generality [Steiner,M]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Maybe an instance of a generalisation is more explanatory than the particular case [Steiner,M]
14. Science / D. Explanation / 2. Types of Explanation / m. Explanation by proof
Explanatory proofs rest on 'characterizing properties' of entities or structure [Steiner,M]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
I can only apply consciousness predicates to myself if I can apply them to others [Strawson,P]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
A person is an entity to which we can ascribe predicates of consciousness and corporeality [Strawson,P]
19. Language / C. Assigning Meanings / 3. Predicates
The idea of a predicate matches a range of things to which it can be applied [Strawson,P]