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All the ideas for 'Reply to Sixth Objections', 'Russell's Mathematical Logic' and 'Political Ideals'

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25 ideas

2. Reason / D. Definition / 8. Impredicative Definition
10041 Impredicative Definitions refer to the totality to which the object itself belongs [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
21716 In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
21495 Theoretical and practical politics are both concerned with the best lives for individuals [Russell]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
10035 Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10042 Reference to a totality need not refer to a conjunction of all its elements [Gödel]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
10038 A logical system needs a syntactical survey of all possible expressions [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
10046 The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
10039 Some arithmetical problems require assumptions which transcend arithmetic [Gödel]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10043 Mathematical objects are as essential as physical objects are for perception [Gödel]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
10045 Impredicative definitions are admitted into ordinary mathematics [Gödel]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
3644 Two things being joined together doesn't prove they are the same [Descartes]
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
3621 Only judgement decides which of our senses are reliable [Descartes]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
21517 Individuals need creativity, reverence for others, and self-respect [Russell]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
21523 We would not want UK affairs to be settled by a world parliament [Russell]
21522 Democracy is inadequate without a great deal of devolution [Russell]
24. Political Theory / D. Ideologies / 2. Anarchism
21521 Anarchy does not maximise liberty [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
21528 Groups should be autonomous, with a neutral authority as arbitrator [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
21527 On every new question the majority is always wrong at first [Russell]
21526 Unfortunately ordinary voters can't detect insincerity [Russell]
24. Political Theory / D. Ideologies / 8. Socialism
21525 When the state is the only employer, there is no refuge from the prejudices of other people [Russell]
24. Political Theory / D. Ideologies / 11. Capitalism
21518 Men unite in pursuit of material things, and idealise greed as part of group loyalty [Russell]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
21519 We need security and liberty, and then encouragement of creativity [Russell]
25. Social Practice / C. Rights / 4. Property rights
21524 The right to own land gives a legal right to a permanent income [Russell]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
3637 Ideas in God's mind only have value if he makes it so [Descartes]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
21520 That our heaven is a dull place reflects the misery of excessive work in life [Russell]