Combining Texts

All the ideas for 'Philosophical Explanations', 'What Numbers Are' and 'Lectures on the Principles of Political Obligation'

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13 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Knowledge is secured by the relations between its parts, through differences and identities [Green,TH, by Muirhead]
13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts
A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
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
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
The highest political efforts express our deeper social spirit [Green,TH, by Muirhead]
24. Political Theory / D. Ideologies / 9. Communism
Communism is wrong because it restricts the freedom of individuals to contribute to the community [Green,TH, by Muirhead]
Original common ownership is securing private property, not denying it [Green,TH, by Muirhead]
24. Political Theory / D. Ideologies / 14. Nationalism
National spirit only exists in the individuals who embody it [Green,TH, by Muirhead]
25. Social Practice / C. Rights / 4. Property rights
The ground of property ownership is not force but the power to use it for social ends [Green,TH, by Muirhead]
Property is needed by all citizens, to empower them to achieve social goods [Green,TH]