Combining Texts

All the ideas for 'fragments/reports', 'Must We Believe in Set Theory?' and 'A Theory of Justice'

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25 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
10482 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
10492 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
10485 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
10484 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
10491 Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
10483 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
10490 Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
8. Modes of Existence / D. Universals / 1. Universals
10488 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
10487 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
10489 We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
23110 Human injustice is not a permanent feature of communities [Rawls]
22. Metaethics / C. The Good / 1. Goodness / c. Right and good
15676 Rawls defends the priority of right over good [Rawls, by Finlayson]
23. Ethics / B. Contract Ethics / 1. Contractarianism
4123 A fair arrangement is one that parties can agree to without knowing how it will benefit them personally [Rawls, by Williams,B]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
3279 Utilitarianism inappropriately scales up the individual willingness to make sacrifices [Rawls, by Nagel]
24. Political Theory / A. Basis of a State / 4. Original Position / a. Original position
3280 Why does the rational agreement of the 'Original Position' in Rawls make it right? [Nagel on Rawls]
20552 The original position models the idea that citizens start as free and equal [Rawls, by Swift]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
18636 Choose justice principles in ignorance of your own social situation [Rawls]
24. Political Theory / A. Basis of a State / 4. Original Position / c. Difference principle
18631 All desirable social features should be equal, unless inequality favours the disadvantaged [Rawls]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
20538 Utilitarians lump persons together; Rawls somewhat separates them; Nozick wholly separates them [Swift on Rawls]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
9277 Rawls's account of justice relies on conventional fairness, avoiding all moral controversy [Gray on Rawls]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
20527 Liberty Principle: everyone has an equal right to liberties, if compatible with others' liberties [Rawls]
25. Social Practice / D. Justice / 1. Basis of justice
21018 The social contract has problems with future generations, national boundaries, disabilities and animals [Rawls, by Nussbaum]
21041 Justice concerns not natural distributions, or our born location, but what we do about them [Rawls]
25. Social Practice / E. Policies / 1. War / b. Justice in war
23583 If an aggression is unjust, the constraints on how it is fought are much stricter [Rawls]