Combining Texts

All the ideas for 'Must We Believe in Set Theory?st1=George Boolos', 'Inventing Logical Necessity' and 'How to be a Liberal'

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17 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
10482 The logic of ZF is classical first-order predicate logic with identity [Boolos]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10492 A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
10485 Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10484 The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10491 Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
10483 Mathematics and science do not require very high orders of infinity [Boolos]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10490 Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
8. Modes of Existence / D. Universals / 1. Universals
10488 It is lunacy to think we only see ink-marks, and not word-types [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
10487 I am a fan of abstract objects, and confident of their existence [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
10489 We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
10. Modality / A. Necessity / 6. Logical Necessity
12189 Logical necessity involves a decision about usage, and is non-realist and non-cognitive [Wright,C, by McFetridge]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
7320 Holism cannot give a coherent account of scientific methodology [Wright,C, by Miller,A]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
22594 In 1794 France all individual and legal rights were suppressed by the general will [Dunt]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
22602 Over several centuries a set of eight main liberal values was established [Dunt]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
22596 No government, or the whole nation, can control an individual beyond legitimate scope [Dunt]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
22603 Laissez-faire liberalism failed to give people the protections and freedoms needed for a good life [Dunt]
24. Political Theory / D. Ideologies / 14. Nationalism
22592 Nationalism pretends that we can only have a single identity [Dunt]