Combining Texts

All the ideas for 'works', 'Must We Believe in Set Theory?' and 'The Later Works (17 vols, ed Boydston)'

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22 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
22864 Philosophy is the study and criticsm of cultural beliefs, to achieve new possibilities [Dewey]
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]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
22873 Liberalism should improve the system, and not just ameliorate it [Dewey]
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]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
22869 Knowledge is either the product of competent enquiry, or it is meaningless [Dewey]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
22867 The quest for certainty aims for peace, and avoidance of the stress of action [Dewey]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
22870 No belief can be so settled that it is not subject to further inquiry [Dewey]
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
22866 Mind is never isolated, but only exists in its interactions [Dewey]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
20239 Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
22872 Liberals aim to allow individuals to realise their capacities [Dewey]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
22880 The things in civilisation we prize are the products of other members of our community [Dewey]
28. God / A. Divine Nature / 2. Divine Nature
22879 'God' is an imaginative unity of ideal values [Dewey]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
22877 We should try attaching the intensity of religious devotion to intelligent social action [Dewey]
22878 Religions are so shockingly diverse that they have no common element [Dewey]