Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The New Institutional Theory of Art' and 'How to be a Liberal'

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


12 ideas

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]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
A work of art is an artifact created for the artworld [Dickie]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
In 1794 France all individual and legal rights were suppressed by the general will [Dunt]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Over several centuries a set of eight main liberal values was established [Dunt]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
No government, or the whole nation, can control an individual beyond legitimate scope [Dunt]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Laissez-faire liberalism failed to give people the protections and freedoms needed for a good life [Dunt]
24. Political Theory / D. Ideologies / 14. Nationalism
Nationalism pretends that we can only have a single identity [Dunt]