Combining Texts

All the ideas for 'reports', 'Philosophy of Mathematics' and 'Lectures on the Principles of Political Obligation'

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14 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
10. Modality / A. Necessity / 8. Transcendental Necessity
Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
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]
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]