Combining Philosophers

All the ideas for Jeremiah, 3rd Earl of Shaftesbury and John von Neumann

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21 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
12336 A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
22716 Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]
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]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
18545 The disinterested attitude of the judge is the hallmark of a judgement of beauty [Shaftesbury, by Scruton]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
6237 Fear of God is not conscience, which is a natural feeling of offence at bad behaviour [Shaftesbury]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
6234 If an irrational creature with kind feelings was suddenly given reason, its reason would approve of kind feelings [Shaftesbury]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
6233 A person isn't good if only tying their hands prevents their mischief, so the affections decide a person's morality [Shaftesbury]
22. Metaethics / C. The Good / 3. Pleasure / d. Sources of pleasure
6236 People more obviously enjoy social pleasures than they do eating and drinking [Shaftesbury]
23. Ethics / A. Egoism / 1. Ethical Egoism
6235 Self-interest is not intrinsically good, but its absence is evil, as public good needs it [Shaftesbury]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
6232 Every creature has a right and a wrong state which guide its actions, so there must be a natural end [Shaftesbury]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
7346 Jeremiah implied a link between weakness and goodness, and the evil of the state [Jeremiah, by Johnson,P]
28. God / A. Divine Nature / 3. Divine Perfections
22920 Do I not fill heaven and earth? saith the Lord [Jeremiah]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
5642 For Shaftesbury, we must already have a conscience to be motivated to religious obedience [Shaftesbury, by Scruton]
28. God / C. Attitudes to God / 3. Deism
22089 Am I a God afar off, and not a God close at hand? [Jeremiah]