Combining Philosophers

All the ideas for Richard T.W. Arthur, Steven Lukes and John von Neumann

expand these ideas     |    start again     |     specify just one area for these philosophers

27 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
3340 Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
15943 Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
3355 Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13489 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
22716 Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]
12336 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
18179 For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
15925 Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
13672 All the axioms for mathematics presuppose set theory [Neumann]
10. Modality / B. Possibility / 1. Possibility
19378 Early modern possibility is what occurs sometime; for Leibniz, it is what is not contradictory [Arthur,R]
17. Mind and Body / A. Mind-Body Dualism / 4. Occasionalism
19380 Occasionalism contradicts the Eucharist, which needs genuine changes of substance [Arthur,R]
20. Action / A. Definition of Action / 1. Action Theory
22858 There is collective action, where a trend is manifest, but is not attributable to individuals [Lukes]
24. Political Theory / C. Ruling a State / 1. Social Power
22850 Hidden powers are the most effective [Lukes]
22852 The pluralist view says that power is restrained by group rivalry [Lukes]
22854 Power is a capacity, which may never need to be exercised [Lukes]
22857 The two-dimensional view of power recognises the importance of controlling the agenda [Lukes]
22855 One-dimensionsal power is behaviour in observable conflicts of interests [Lukes]
22856 Political organisation brings some conflicts to the fore, and suppresses others [Lukes]
22860 The evidence for the exertion of power need not involve a grievance of the powerless [Lukes]
22861 Power is affecting a person in a way contrary to their interests [Lukes]
22863 Power is the capacity of a social class to realise its interests [Lukes]
21133 Supreme power is getting people to have thoughts and desires chosen by you [Lukes]
22859 Power can be exercised to determine a person's desires [Lukes]
24. Political Theory / D. Ideologies / 1. Ideology
22851 In the 1950s they said ideology is finished, and expertise takes over [Lukes]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
22862 Liberals take people as they are, and take their preferences to be their interests [Lukes]
24. Political Theory / D. Ideologies / 11. Capitalism
22853 Anyone who thinks capitalism can improve their lives is endorsing capitalism [Lukes]