Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'Letters to Oldenburg' and 'Anarchy,State, and Utopia'

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23 ideas

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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / f. Ethical non-cognitivism
4867 Whether nature is beautiful or orderly is entirely in relation to human imagination [Spinoza]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
18648 Freedom to live according to our own conception of the good is the ultimate value [Nozick, by Kymlicka]
23. Ethics / E. Utilitarianism / 2. Ideal of Pleasure
20585 If an experience machine gives you any experience you want, should you hook up for life? [Nozick]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
18643 A minimal state should protect, but a state forcing us to do more is unjustified [Nozick]
24. Political Theory / D. Ideologies / 2. Anarchism
18642 Individual rights are so strong that the state and its officials must be very limited in power [Nozick]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
18644 States can't enforce mutual aid on citizens, or interfere for their own good [Nozick]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
22661 My Anarchy, State and Utopia neglected our formal social ties and concerns [Nozick on Nozick]
25. Social Practice / A. Freedoms / 4. Free market
18641 If people hold things legitimately, just distribution is simply the result of free exchanges [Nozick, by Kymlicka]
25. Social Practice / C. Rights / 4. Property rights
20539 Property is legitimate by initial acquisition, voluntary transfer, or rectification of injustice [Nozick, by Swift]
18645 Nozick assumes initial holdings include property rights, but we can challenge that [Kymlicka on Nozick]
20521 Can I come to own the sea, by mixing my private tomato juice with it? [Nozick]
18646 How did the private property get started? If violence was involved, we can redistribute it [Kymlicka on Nozick]
18647 If property is only initially acquired by denying the rights of others, Nozick can't get started [Kymlicka on Nozick]
21737 Unowned things may be permanently acquired, if it doesn't worsen the position of other people [Nozick]
21738 Maybe land was originally collectively owned, rather than unowned? [Cohen,GA on Nozick]
28. God / A. Divine Nature / 3. Divine Perfections
4866 God is a being with infinite attributes, each of them infinite or perfect [Spinoza]
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
4868 Trying to prove God's existence through miracles is proving the obscure by the more obscure [Spinoza]