Combining Philosophers

All the ideas for Menedemus, Andrew Shorten and John von Neumann

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28 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]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
21122 Liberal Nationalism says welfare states and democracy needed a shared sense of nationality [Shorten]
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]
20. Action / C. Motives for Action / 5. Action Dilemmas / c. Omissions
21136 Utilitarians conflate acts and omissions; causing to drown and failing to save are the same [Shorten]
23. Ethics / A. Egoism / 1. Ethical Egoism
3031 The greatest good is not the achievement of desire, but to desire what is proper [Menedemus, by Diog. Laertius]
24. Political Theory / C. Ruling a State / 1. Social Power
21135 There are eight different ways in which groups of people can be oppressed [Shorten, by PG]
24. Political Theory / D. Ideologies / 1. Ideology
21118 Constitutional Patriotism unites around political values (rather than national identity) [Shorten]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
21129 Democracy is a method of selection, or it involves participation, or it concerns public discussion [Shorten]
21130 Some say democracy is intrinsically valuable, others that it delivers good outcomes [Shorten]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
21126 Representative should be either obedient, or sensible, or typical [Shorten]
21128 There is 'mirror representation' when the institution statistically reflects the population [Shorten]
21127 In a changed situation a Mandated Representative can't keep promises and fight for constituents [Shorten]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
21117 Liberal citizens have a moral requirement to respect freedom and equality [Shorten]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
21134 Maybe the rational autonomous liberal individual is merely the result of domination [Shorten]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
21113 Liberal equality concerns rights, and liberal freedom concerns choice of ends [Shorten]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
21121 Liberal Nationalism encourages the promotion of nationalistic values [Shorten]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
21115 Liberalism should not make assumptions such as the value of choosing your own life plan [Shorten]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
21114 Liberals treat individuals as mutual strangers, rather than as social beings [Shorten]
24. Political Theory / D. Ideologies / 14. Nationalism
21123 Liberal Nationalism is more communitarian, and Constitutional Patriotism more cosmopolitan [Shorten]
25. Social Practice / E. Policies / 2. Religion in Society
21124 Religious toleration has been institutionalised by the separation of church and state [Shorten]