Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'works' and 'The Iliad'

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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]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Homer does not distinguish between soul and body [Homer, by Williams,B]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The 'will' doesn't exist; there is just conclusion, then action [Homer, by Williams,B]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
Plato says the Good produces the Intellectual-Principle, which in turn produces the Soul [Homer, by Plotinus]
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
Let there be one ruler [Homer]
24. Political Theory / D. Ideologies / 1. Ideology
Ideology is 'socially necessary illusion' or 'socially necessary false-consciousness' [Adorno, by Finlayson]
28. God / C. Attitudes to God / 5. Atheism
Homer so enjoys the company of the gods that he must have been deeply irreligious [Homer, by Nietzsche]