Combining Texts

All the ideas for 'What is so bad about Contradictions?', 'Believing the Axioms I' and 'Contemporary Political Philosophy (2nd edn)'

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34 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction
Someone standing in a doorway seems to be both in and not-in the room [Priest,G, by Sorensen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
New axioms are being sought, to determine the size of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
The Axiom of Extensionality seems to be analytic [Maddy]
Extensional sets are clearer, simpler, unique and expressive [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy]
Infinite sets are essential for giving an account of the real numbers [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Efforts to prove the Axiom of Choice have failed [Maddy]
Modern views say the Choice set exists, even if it can't be constructed [Maddy]
A large array of theorems depend on the Axiom of Choice [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy]
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]