Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Could a computer ever understand?' and 'The Nature and Communication of Substance'

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]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
4921 Quantum states in microtubules could bind brain activity to produce consciousness [Penrose]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
2596 Maybe mind and body are parallel, like two good clocks [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
2595 If the universe is a perfect agreement of uncommunicating substances, there must be a common source [Leibniz]