Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Middle Works (15 vols, ed Boydston)' and 'The Scientific Image'

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17 ideas

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 / A. Necessity / 11. Denial of Necessity
14919 Empiricists deny what is unobservable, and reject objective modality [Fraassen]
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
22868 The value and truth of knowledge are measured by success in activity [Dewey]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
6783 To 'accept' a theory is not to believe it, but to believe it empirically adequate [Fraassen, by Bird]
14. Science / B. Scientific Theories / 2. Aim of Science
14917 To accept a scientific theory, we only need to believe that it is empirically adequate [Fraassen]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
6784 Why should the true explanation be one of the few we have actually thought of? [Fraassen, by Bird]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
13066 An explanation is just descriptive information answering a particular question [Fraassen, by Salmon]
16. Persons / B. Nature of the Self / 1. Self and Consciousness
22865 Habits constitute the self [Dewey]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
22871 The good people are those who improve; the bad are those who deteriorate [Dewey]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
22876 Democracy is the development of human nature when it shares in the running of communal activities [Dewey]
22875 Democracy is not just a form of government; it is a mode of shared living [Dewey]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
22874 Individuality is only developed within groups [Dewey]