Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Intensions Revisited' and 'Selections from Prison Notebooks'

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19 ideas

4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Quantified modal logic collapses if essence is withdrawn [Quine]
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]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Essences can make sense in a particular context or enquiry, as the most basic predicates [Quine]
10. Modality / A. Necessity / 11. Denial of Necessity
Necessity is relative to context; it is what is assumed in an inquiry [Quine]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds are a way to dramatise essentialism, and yet they presuppose essentialism [Quine]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
A rigid designator (for all possible worlds) picks out an object by its essential traits [Quine]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
Beliefs can be ascribed to machines [Quine]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The state should produce higher civilisations for all, in tune with the economic apparatus [Gramsci]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
Eventually political parties lose touch with the class they represent, which is dangerous [Gramsci]
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
Caesarism emerges when two forces in society are paralysed in conflict [Gramsci]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
Totalitarian parties cut their members off from other cultural organisations [Gramsci]
24. Political Theory / C. Ruling a State / 3. Government / a. Government
What is the function of a parliament? Does it even constitute a part of the State structure? [Gramsci]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberalism's weakness is its powerful rigid bureaucracy [Gramsci]
25. Social Practice / B. Equalities / 2. Political equality
Perfect political equality requires economic equality [Gramsci]