Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Metaphysics as a Guide to Morals' and 'Inexpressible Properties and Propositions'

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

11 ideas

3. Truth / H. Deflationary Truth / 3. Minimalist Truth
17990 Instances of minimal truth miss out propositions inexpressible in current English [Hofweber]
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 / G. Quantification / 4. Substitutional Quantification
17988 Quantification can't all be substitutional; some reference is obviously to objects [Hofweber]
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]
8. Modes of Existence / B. Properties / 1. Nature of Properties
17989 Since properties have properties, there can be a typed or a type-free theory of them [Hofweber]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
22591 We know perfection when we see what is imperfect [Murdoch]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
17991 Holism says language can't be translated; the expressibility hypothesis says everything can [Hofweber]