Combining Texts

All the ideas for 'Matter and Memory', 'Gödel's Proof' and 'On the Question of Absolute Undecidability'

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

---

9 ideas

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 / A. Nature of Existence / 3. Being / c. Becoming

21846

Bergson was a rallying point, because he emphasised becomings and multiplicities [Bergson, by Deleuze]

12. Knowledge Sources / E. Direct Knowledge / 4. Memory

21854

Bergson showed that memory is not after the event, but coexists with it [Bergson, by Deleuze]

18. Thought / A. Modes of Thought / 5. Rationality / b. Human rationality

9591	The human intellect has not been, and cannot be, fully formalized [Nagel/Newman]