Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Analyzing Modality' and 'Reflections on Liberty and Social Oppression'

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30 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 / G. Quantification / 3. Objectual Quantification
'All horses' either picks out the horses, or the things which are horses [Jubien]
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 / A. Existence of Objects / 1. Physical Objects
Being a physical object is our most fundamental category [Jubien]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
Haecceities implausibly have no qualities [Jubien]
10. Modality / A. Necessity / 11. Denial of Necessity
De re necessity is just de dicto necessity about object-essences [Jubien]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
Modal propositions transcend the concrete, but not the actual [Jubien]
Your properties, not some other world, decide your possibilities [Jubien]
Modal truths are facts about parts of this world, not about remote maximal entities [Jubien]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
If all possible worlds just happened to include stars, their existence would be necessary [Jubien]
Possible worlds just give parallel contingencies, with no explanation at all of necessity [Jubien]
If other worlds exist, then they are scattered parts of the actual world [Jubien]
Worlds don't explain necessity; we use necessity to decide on possible worlds [Jubien]
We have no idea how many 'possible worlds' there might be [Jubien]
If there are no other possible worlds, do we then exist necessarily? [Jubien]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
We mustn't confuse a similar person with the same person [Jubien]
23. Ethics / A. Egoism / 1. Ethical Egoism
Morality would improve if people could pursue private interests [Weil]
24. Political Theory / C. Ruling a State / 1. Social Power
In oppressive societies the scope of actual control is extended by a religion of power [Weil]
24. Political Theory / C. Ruling a State / 4. Changing the State / a. Centralisation
No central authority can initiate decentralisation [Weil]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
After a bloody revolution the group which already had the power comes to the fore [Weil]
24. Political Theory / D. Ideologies / 2. Anarchism
Decentralisation is only possible by co-operation between strong and weak - which is absurd [Weil]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Only individual people of good will can achieve social progress [Weil]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
In the least evil societies people can think, control community life, and be autonomous [Weil]
24. Political Theory / D. Ideologies / 11. Capitalism
Marx showed that capitalist oppression, because of competition, is unstoppable [Weil]
25. Social Practice / A. Freedoms / 1. Slavery
The pleasure of completing tasks motivates just as well as the whip of slavery [Weil]
25. Social Practice / B. Equalities / 4. Economic equality
Inequality could easily be mitigated, if it were not for the struggle for power [Weil]