Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Do Conditionals Have Truth Conditions?' and 'Lectures on the Principles of Political Obligation'

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20 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 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
17887 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
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
10. Modality / B. Possibility / 6. Probability
13857 Truth-functional possibilities include the irrelevant, which is a mistake [Edgington]
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
13853 It is a mistake to think that conditionals are statements about how the world is [Edgington]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
13855 A conditional does not have truth conditions [Edgington]
13859 X believes 'if A, B' to the extent that A & B is more likely than A & ¬B [Edgington]
10. Modality / B. Possibility / 8. Conditionals / e. Supposition conditionals
13854 Conditionals express what would be the outcome, given some supposition [Edgington]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
23029 Knowledge is secured by the relations between its parts, through differences and identities [Green,TH, by Muirhead]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
23046 States only have full authority if they heed the claims of human fellowship [Green,TH]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
23051 Equality also implies liberty, because equality must be of opportunity as well as possessions [Green,TH]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
23028 The highest political efforts express our deeper social spirit [Green,TH, by Muirhead]
24. Political Theory / D. Ideologies / 9. Communism
23054 Communism is wrong because it restricts the freedom of individuals to contribute to the community [Green,TH, by Muirhead]
23047 Original common ownership is securing private property, not denying it [Green,TH, by Muirhead]
24. Political Theory / D. Ideologies / 14. Nationalism
23042 National spirit only exists in the individuals who embody it [Green,TH, by Muirhead]
25. Social Practice / C. Rights / 4. Property rights
23048 The ground of property ownership is not force but the power to use it for social ends [Green,TH, by Muirhead]
23049 Property is needed by all citizens, to empower them to achieve social goods [Green,TH]