Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'On Recent German Literature. Fragments' and 'Philosophy and Scientific Image of Man'

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

---

9 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation

21829

Philosophy aims to understand how things (broadly understood) hang together (broadly understood) [Sellars]

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis

20947

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

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]

7. Existence / C. Structure of Existence / 2. Reduction

6550	Reduction requires that an object's properties consist of its constituents' properties and relations [Sellars]