Combining Texts

All the ideas for 'Counterfactual Dependence and Time's Arrow', 'Philosophy and Politics' and 'On the Introduction of Transfinite Numbers'

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10 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]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
Democratic institutions become impossible in a fanatical democracy [Russell]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberal opinions are tentative rather than dogmatic, and are always responsive to new evidence [Russell]
Empiricist Liberalism is the only view for someone who favours scientific evidence and happiness [Russell]
Empiricism is ethically superior, because dogmatism favours persecution and hatred [Russell]
26. Natural Theory / C. Causation / 5. Direction of causation
There are few traces of an event before it happens, but many afterwards [Lewis, by Horwich]