Combining Texts

All the ideas for 'fragments/reports', 'Contemporary Political Philosophy (2nd edn)' and 'Must We Believe in Set Theory?'

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33 ideas

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]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Some reasonings are stronger than we are [Philolaus]
24. Political Theory / B. Nature of a State / 4. Citizenship
Some liberals thinks checks and balances are enough, without virtuous citizens [Kymlicka]
Good citizens need civic virtues of loyalty, independence, diligence, respect, etc. [Kymlicka]
Liberals accept that people need society, but Aristotelians must show that they need political activity [Kymlicka]
Minimal liberal citizenship needs common civility, as well as mere non-interference [Kymlicka]
Modern non-discrimination obliges modern citizens to treat each other as equals [Kymlicka]
The right wing sees citizenship in terms of responsibility to earn a living, rather than rights [Kymlicka]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Modern democratic theory focuses on talk, not votes, because we need consensus or compromise [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
In a liberal democracy all subjects of authority have a right to determine the authority [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
We have become attached to private life because that has become greatly enriched [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
Liberals must avoid an official culture, as well as an official religion [Kymlicka]
Liberals need more than freedom; they must build a nation, through a language and institutions [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / f. Multiculturalism
Some individuals can gain citizenship as part of a group, rather than as mere individuals [Kymlicka]
The status hierarchy is independent of the economic hierarchy [Kymlicka]
Some multiculturalists defended the rights of cohesive minorities against liberal individualism [Kymlicka]
'Culturalist' liberals say that even liberal individuals may need minority rights [Kymlicka]
Multiculturalism may entail men dominating women in minority groups [Kymlicka]
Liberals must prefer minority right which are freedoms, not restrictions [Kymlicka]
Why shouldn't national minorities have their own right to nation-build? [Kymlicka]
Multiculturalism is liberal if it challenges inequality, conservative if it emphasises common good [Kymlicka]
25. Social Practice / C. Rights / 1. Basis of Rights
Rights are a part of nation-building, to build a common national identity and culture [Kymlicka]
Rights derived from group membership are opposed to the idea of state citizenship [Kymlicka]
25. Social Practice / E. Policies / 3. Welfare provision
The welfare state helps to integrate the working classes into a national culture [Kymlicka]