Combining Texts

All the ideas for 'works', 'Elements of Set Theory' and 'Political Philosophy (3rd ed)'

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36 ideas

4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton]
The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton]
A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton]
The empty set may look pointless, but many sets can be constructed from it [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
The singleton is defined using the pairing axiom (as {x,x}) [Enderton]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
We can only define functions if Choice tells us which items are involved [Enderton]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
Freud treats the unconscious as intentional and hence mental [Freud, by Searle]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Freud and others have shown that we don't know our own beliefs, feelings, motive and attitudes [Freud, by Shoemaker]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
Freud said passions are pressures of some flowing hydraulic quantity [Freud, by Solomon]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Freud is pessimistic about human nature; it is ambivalent motive and fantasy, rather than reason [Freud, by Murdoch]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
We should respect the right of people to live in their own way, even if it is irrational [Swift]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
Anti-colonial movements usually invoke the right of their 'people' to self-determination [Swift]
24. Political Theory / A. Basis of a State / 4. Original Position / a. Original position
Isn't it more rational to maximise the average position, but with a safety net? [Swift]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Hypothetical contracts have no binding force [Swift]
24. Political Theory / B. Nature of a State / 4. Citizenship
Cosmopolitans reject the right of different states to distribute resources in different ways [Swift]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Democracy is bad, but the other systems are worse [Swift]
Since all opinions are treated as equal in democracy, it implies there are no right answers [Swift]
Design your democracy to treat citizens equally, or to produce better citizens? [Swift]
Design your democracy to yield political stability, or good decisions? [Swift]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Teledemocracy omits debate and deliberation, which are important parts of good decisions [Swift]
24. Political Theory / D. Ideologies / 6. Liberalism / f. Multiculturalism
Multiculturalism is a barrier to the whole state being a community [Swift]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberals mistakenly think individuals choose their values, without reference to the community [Swift]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
The best way to build a cohesive community is to be involved in a war [Swift]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Membership and inclusion in a community implies non-membership and exclusion [Swift]
Liberals are concerned to protect individuals from too much community [Swift]
24. Political Theory / D. Ideologies / 8. Socialism
Redistributing wealth treats some people as means, rather than as ends [Swift]
24. Political Theory / D. Ideologies / 12. Feminism
Men have had the power to structure all of our social institutions [Swift]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Maybe a freedom is from a restraint, and also in order to do something [Swift]
25. Social Practice / B. Equalities / 1. Grounds of equality
Opportunity should ignore extraneous factors, or foster competence, or ignore all disadvantages [Swift]
25. Social Practice / B. Equalities / 4. Economic equality
Inequalities are needed, as incentives to do the most important jobs [Swift]
A person can desire redistibution of wealth, without it being for reasons of equality [Swift]
25. Social Practice / C. Rights / 4. Property rights
You can't necessarily sell your legitimate right to something, even if you produced it [Swift]
Libertarians about property ignore the fact that private property is a denial of freedoms [Swift]
25. Social Practice / D. Justice / 1. Basis of justice
Justice can be seen as fairness or entitlement or desert [Swift]