Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Paradoxes of the Infinite' and 'Ethical Criticism and the Vice of Moderation'

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16 ideas

1. Philosophy / D. Nature of Philosophy / 8. Humour
Jokes can sometimes be funny because they are offensive [Jacobson,D]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
An aggregate in which order does not matter I call a 'set' [Bolzano]
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 / a. The Infinite
A truly infinite quantity does not need to be a variable [Bolzano]
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 / A. Aesthetic Experience / 2. Aesthetic Attitude
We don't often respond to events in art as if they were real events [Jacobson,D]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Audiences can be too moral [Jacobson,D]
'Autonomism' says the morality is irrelevant to the aesthetics [Jacobson,D]
Moral defects of art can be among its aesthetic virtues [Jacobson,D]
Immoral art encourages immoral emotions [Jacobson,D]
Moderate moralism says moral qualities can sometimes also be aesthetic qualities [Jacobson,D]
We can judge art ethically, or rate its ethical influence, or assess its quality via its ethics [Jacobson,D]