Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Critique of the Gotha Program' and 'The Sceptical Chemist'

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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]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
In moving from capitalism to communism a revolutionary dictatorship of the proletariat is needed [Marx]
24. Political Theory / D. Ideologies / 9. Communism
From each according to his ability, to each according to his need [Marx]
People who only have their labour power are the slaves of those permitting them to work [Marx]
Freedom is making the state subordinate to its society [Marx]
25. Social Practice / A. Freedoms / 2. Freedom of belief
Bourgeois 'freedom of conscience' just tolerates all sorts of religious intolerance [Marx]
27. Natural Reality / G. Biology / 3. Evolution
I don't see how mere moving matter can lead to the bodies of men and animals, and especially their seeds [Boyle]