Combining Texts

All the ideas for 'reports', 'Must We Believe in Set Theory?' and 'The Idea of Justice'

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34 ideas

2. Reason / A. Nature of Reason / 4. Aims of Reason
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
In politics and ethics, scrutiny from different perspectives is essential for objectivity [Sen]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
The logic of ZF is classical first-order predicate logic with identity [Boolos]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Mathematics and science do not require very high orders of infinity [Boolos]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
8. Modes of Existence / D. Universals / 1. Universals
It is lunacy to think we only see ink-marks, and not word-types [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
I am a fan of abstract objects, and confident of their existence [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Rationality is conformity to reasons that can be sustained even after scrutiny [Sen]
23. Ethics / B. Contract Ethics / 9. Contractualism
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
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
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
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
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
Famines tend to be caused by authoritarian rule [Sen]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Effective democracy needs tolerant values [Sen]
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
Democracy as 'government by discussion' now has wide support [Sen]
Democracy needs more than some institutions; diverse sections of the people must be heard [Sen]
24. Political Theory / D. Ideologies / 13. Green Politics
Eradicating smallpox does not impoverish nature [Sen]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Capabilities are part of freedom, involving real opportunities [Sen]
Freedom can involve capabilities, independence and non-interference [Sen]
25. Social Practice / B. Equalities / 1. Grounds of equality
The need for equality among people arises from impartiality and objectivity [Sen]
All modern theories of justice demand equality of something [Sen]
25. Social Practice / C. Rights / 1. Basis of Rights
Freedom from torture or terrorist attacks is independent of citizenship [Sen]
25. Social Practice / D. Justice / 1. Basis of justice
You don't need a complete theory of justice to see that slavery is wrong [Sen]
Practical justice concerns not only ideals, but ways to achieve them [Sen]
Our institutions should promote justice, rather than embodying it [Sen]
We must focus on removing manifest injustice, not just try to design a perfect society [Sen]
If justice needs public reasoning, which needs democracy, then justice and democracy are linked [Sen]
25. Social Practice / D. Justice / 3. Punishment / c. Deterrence of crime
The greatest deterrence for injustice is if uninjured parties feel as much indignation as those who are injured [Solon, by Diog. Laertius]