Combining Texts

All the ideas for 'Nature and Observability of Causal Relations', 'Lectures on the Principles of Political Obligation' and 'What is Cantor's Continuum Problem?'

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23 ideas

2. Reason / D. Definition / 2. Aims of Definition
8368 A correct definition is what can be substituted without loss of meaning [Ducasse]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
8679 We perceive the objects of set theory, just as we perceive with our senses [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
9942 Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
18062 Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
10868 The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
13517 If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
10271 Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
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]
26. Natural Theory / C. Causation / 2. Types of cause
8367 Causation is defined in terms of a single sequence, and constant conjunction is no part of it [Ducasse]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
8372 We see what is in common between causes to assign names to them, not to perceive them [Ducasse]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
8369 Causes are either sufficient, or necessary, or necessitated, or contingent upon [Ducasse]
8373 When a brick and a canary-song hit a window, we ignore the canary if we are interested in the breakage [Ducasse]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
8370 A cause is a change which occurs close to the effect and just before it [Ducasse]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
8371 Recurrence is only relevant to the meaning of law, not to the meaning of cause [Ducasse]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
8374 We are interested in generalising about causes and effects purely for practical purposes [Ducasse]