Combining Texts

All the ideas for 'Set Theory', 'Contemporary Political Philosophy (1st edn)' and 'Probabilistic Causality'

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


41 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III
Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
Constructibility: V = L (all sets are constructible) [Kunen]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
The 'Kantian' self steps back from commitment to its social situation [Kymlicka]
22. Metaethics / C. The Good / 1. Goodness / c. Right and good
Teleological theories give the good priority over concern for people [Kymlicka]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Maybe the particularist moral thought of women is better than the impartial public thinking of men [Kymlicka]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Utilitarianism is not a decision-procedure; choice of the best procedure is an open question [Kymlicka]
One view says start with equality, and infer equal weight to interests, and hence maximum utility [Kymlicka]
A second view says start with maximising the good, implying aggregation, and hence equality [Kymlicka]
24. Political Theory / A. Basis of a State / 2. Population / a. Human population
To maximise utility should we double the population, even if life somewhat deteriorates? [Kymlicka]
24. Political Theory / A. Basis of a State / 4. Original Position / c. Difference principle
The difference principles says we must subsidise the costs of other people's choices [Kymlicka]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Social contract theories are usually rejected because there never was such a contract [Kymlicka]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
Utilitarianism is no longer a distinctive political position [Kymlicka]
The quest of the general good is partly undermined by people's past entitlements [Kymlicka]
We shouldn't endorse preferences which reject equality, and show prejudice and selfishness [Kymlicka]
Using utilitarian principles to make decisions encourages cold detachment from people [Kymlicka]
Utilitarianism is irrational if it tells you to trade in your rights and resources just for benefits [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Modern liberalism has added personal privacy to our personal social lives [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
Liberalism tends to give priority to basic liberties [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Marxists say liberalism is unjust, because it allows exploitation in the sale of labour [Kymlicka]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
The 'Kantian' view of the self misses the way it is embedded or situated in society [Kymlicka]
Communitarians say we should pay more attention to our history [Kymlicka]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Communitarian states only encourage fairly orthodox ideas of the good life [Kymlicka]
25. Social Practice / A. Freedoms / 1. Slavery
If everyone owned himself, that would prevent slavery [Kymlicka]
25. Social Practice / A. Freedoms / 4. Free market
Libertarians like the free market, but they also think that the free market is just [Kymlicka]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
The most valuable liberties to us need not be the ones with the most freedom [Kymlicka]
25. Social Practice / A. Freedoms / 6. Political freedom
Ancient freedom was free participation in politics, not private independence of life [Kymlicka]
25. Social Practice / B. Equalities / 2. Political equality
Equal opportunities seems fair, because your fate is from your choices, not your circumstances [Kymlicka]
Equal opportunity arbitrarily worries about social circumstances, but ignores talents [Kymlicka]
25. Social Practice / B. Equalities / 3. Legal equality
Marxists say justice is unneeded in the truly good community [Kymlicka]
25. Social Practice / C. Rights / 1. Basis of Rights
The Lockean view of freedom depends on whether you had a right to what is restricted [Kymlicka]
25. Social Practice / D. Justice / 1. Basis of justice
Justice corrects social faults, but also expresses respect to individuals as ends [Kymlicka]
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
Probabilistic causal concepts are widely used in everyday life and in science [Salmon]