Combining Texts

All the ideas for 'The Really Hard Problem', 'Russell's Mathematical Logic' and 'What We Owe to Each Other'

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17 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 / 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]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
21833 Research suggest that we overrate conscious experience [Flanagan]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
21834 Sensations may be identical to brain events, but complex mental events don't seem to be [Flanagan]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
21837 Morality is normative because it identifies best practices among the normal practices [Flanagan]
22. Metaethics / B. Value / 2. Values / f. Altruism
21830 For Darwinians, altruism is either contracts or genetics [Flanagan]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
21835 We need Eudaimonics - the empirical study of how we should flourish [Flanagan]
23. Ethics / B. Contract Ethics / 9. Contractualism
20992 Right and wrong concerns what other people cannot reasonably reject [Scanlon]
24. Political Theory / D. Ideologies / 9. Communism
21831 Alienation is not finding what one wants, or being unable to achieve it [Flanagan]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
21832 Buddhists reject God and the self, and accept suffering as key, and liberation through wisdom [Flanagan]