Combining Texts

All the ideas for 'works', 'Set Theory' and 'The Idea of Justice'

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36 ideas

2. Reason / A. Nature of Reason / 4. Aims of Reason
20981 What justifies reliance on reason? Is it just a tool? Why is it better than blind belief? [Sen]
2. Reason / A. Nature of Reason / 5. Objectivity
20982 In politics and ethics, scrutiny from different perspectives is essential for objectivity [Sen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13030 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
13032 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
13033 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
13037 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
13038 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
13034 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
13039 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
13036 Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
13029 Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
13031 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
13040 Constructibility: V = L (all sets are constructible) [Kunen]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
20990 Rationality is conformity to reasons that can be sustained even after scrutiny [Sen]
23. Ethics / B. Contract Ethics / 9. Contractualism
21005 A human right is not plausible if public scrutiny might reject it [Sen]
24. Political Theory / A. Basis of a State / 4. Original Position / a. Original position
20983 The original position insures that the agreements reached are fair [Sen]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
20987 The veil of ignorance encourages neutral interests, but not a wider view of values [Sen]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
20984 A social contract limits the pursuit of justice to members of a single society [Sen]
24. Political Theory / B. Nature of a State / 4. Citizenship
20986 A person's voice may count because of their interests, or because of their good sense [Sen]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
21001 Famines tend to be caused by authoritarian rule [Sen]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
21002 Effective democracy needs tolerant values [Sen]
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
20979 Democracy needs more than some institutions; diverse sections of the people must be heard [Sen]
20999 Democracy as 'government by discussion' now has wide support [Sen]
24. Political Theory / D. Ideologies / 13. Green Politics
20993 Eradicating smallpox does not impoverish nature [Sen]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
20998 Freedom can involve capabilities, independence and non-interference [Sen]
20995 Capabilities are part of freedom, involving real opportunities [Sen]
25. Social Practice / B. Equalities / 1. Grounds of equality
20997 The need for equality among people arises from impartiality and objectivity [Sen]
20996 All modern theories of justice demand equality of something [Sen]
25. Social Practice / C. Rights / 1. Basis of Rights
20988 Freedom from torture or terrorist attacks is independent of citizenship [Sen]
25. Social Practice / D. Justice / 1. Basis of justice
21000 If justice needs public reasoning, which needs democracy, then justice and democracy are linked [Sen]
20980 You don't need a complete theory of justice to see that slavery is wrong [Sen]
20978 Practical justice concerns not only ideals, but ways to achieve them [Sen]
20985 Our institutions should promote justice, rather than embodying it [Sen]
20994 We must focus on removing manifest injustice, not just try to design a perfect society [Sen]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
16713 Philosophers are the forefathers of heretics [Tertullian]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
6610 I believe because it is absurd [Tertullian]