Combining Texts

All the ideas for 'fragments/reports', 'Anarchy,State, and Utopia' and 'On the Introduction of Transfinite Numbers'

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20 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
10. Modality / A. Necessity / 8. Transcendental Necessity
Everything happens by reason and necessity [Leucippus]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Freedom to live according to our own conception of the good is the ultimate value [Nozick, by Kymlicka]
23. Ethics / E. Utilitarianism / 2. Ideal of Pleasure
If an experience machine gives you any experience you want, should you hook up for life? [Nozick]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
A minimal state should protect, but a state forcing us to do more is unjustified [Nozick]
24. Political Theory / D. Ideologies / 2. Anarchism
Individual rights are so strong that the state and its officials must be very limited in power [Nozick]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
States can't enforce mutual aid on citizens, or interfere for their own good [Nozick]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
My Anarchy, State and Utopia neglected our formal social ties and concerns [Nozick on Nozick]
25. Social Practice / A. Freedoms / 4. Free market
If people hold things legitimately, just distribution is simply the result of free exchanges [Nozick, by Kymlicka]
25. Social Practice / C. Rights / 4. Property rights
Property is legitimate by initial acquisition, voluntary transfer, or rectification of injustice [Nozick, by Swift]
Nozick assumes initial holdings include property rights, but we can challenge that [Kymlicka on Nozick]
Can I come to own the sea, by mixing my private tomato juice with it? [Nozick]
How did the private property get started? If violence was involved, we can redistribute it [Kymlicka on Nozick]
If property is only initially acquired by denying the rights of others, Nozick can't get started [Kymlicka on Nozick]
Unowned things may be permanently acquired, if it doesn't worsen the position of other people [Nozick]
Maybe land was originally collectively owned, rather than unowned? [Cohen,GA on Nozick]