Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Varieties of Necessity' and 'On the Happy Life'

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18 ideas

1. Philosophy / A. Wisdom / 2. Wise People
13560 A wise man is not subservient to anything [Seneca]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
9216 Each area of enquiry, and its source, has its own distinctive type of necessity [Fine,K]
13. Knowledge Criteria / C. External Justification / 7. Testimony
9214 Unsupported testimony may still be believable [Fine,K]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / a. Idealistic ethics
13558 The supreme good is harmony of spirit [Seneca]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
13559 I seek virtue, because it is its own reward [Seneca]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
13561 Virtue is always moderate, so excess need not be feared [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
13562 It is shameful to not even recognise your own slaves [Seneca]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
13564 There is far more scope for virtue if you are wealthy; poverty only allows endurance [Seneca]
13563 Why does your wife wear in her ears the income of a wealthy house? [Seneca]
13565 If wealth was a good, it would make men good [Seneca]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
13557 Unfortunately the majority do not tend to favour what is best [Seneca]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
9215 Causation is easier to disrupt than logic, so metaphysics is part of nature, not vice versa [Fine,K]