Combining Texts

All the ideas for 'Lectures on the History of Philosophy', 'Lectures on the Principles of Political Obligation' and 'The Foundations of Mathematics'

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18 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is the conceptual essence of the shape of history [Hegel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: there is an infinity of distinguishable individuals [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
5. Theory of Logic / L. Paradox / 1. Paradox
Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
I just confront the evidence, and let it act on me [Ramsey]
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 / 3. Reliabilism / a. Reliable knowledge
A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
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]