Combining Texts

All the ideas for 'Against 'Ostrich Nominalism'', 'Reflections on Liberty and Social Oppression' and 'What is Cantor's Continuum Problem?'

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19 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
We perceive the objects of set theory, just as we perceive with our senses [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
7. Existence / D. Theories of Reality / 3. Reality
Some think of reality as made of things; I prefer facts or states of affairs [Armstrong]
8. Modes of Existence / D. Universals / 1. Universals
Particulars and properties are distinguishable, but too close to speak of a relation [Armstrong]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Refusal to explain why different tokens are of the same type is to be an ostrich [Armstrong]
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]