Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Condemnation of 1277' and 'Contemporary Political Philosophy (2nd edn)'

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33 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
10. Modality / B. Possibility / 1. Possibility
In future, only logical limits can be placed on divine omnipotence [Anon (Par), by Boulter]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
It is heresy to require self-evident foundational principles in order to be certain [Anon (Par)]
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]
25. Social Practice / E. Policies / 5. Education / d. Study of history
It is heresy to teach that history repeats every 36,000 years [Anon (Par)]
28. God / A. Divine Nature / 3. Divine Perfections
It is heresy to teach that natural impossibilities cannot even be achieved by God [Anon (Par)]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
It is heresy to teach that we can know God by his essence in this mortal life [Anon (Par)]