Combining Texts

All the ideas for 'The Nature of Things', 'Spheres of Justice' and 'On the Introduction of Transfinite Numbers'

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14 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
A class is natural when everybody can spot further members of it [Quinton]
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]
7. Existence / E. Categories / 5. Category Anti-Realism
Extreme nominalists say all classification is arbitrary convention [Quinton]
8. Modes of Existence / B. Properties / 5. Natural Properties
The naturalness of a class depends as much on the observers as on the objects [Quinton]
Properties imply natural classes which can be picked out by everybody [Quinton]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Uninstantiated properties must be defined using the instantiated ones [Quinton]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
An individual is a union of a group of qualities and a position [Quinton, by Campbell,K]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
You can't distribute goods from behind a veil, because their social meaning is unclear [Walzer, by Tuckness/Wolf]
25. Social Practice / B. Equalities / 2. Political equality
Complex equality restricts equalities from spilling over, like money influencing politics and law [Walzer, by Tuckness/Wolf]
25. Social Practice / B. Equalities / 4. Economic equality
Equality is complex, with different spheres of equality where different principles apply [Walzer, by Swift]