Combining Texts

All the ideas for 'fragments/reports', 'The Middle Works (15 vols, ed Boydston)' and 'Remarks on axiomatised set theory'

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11 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
The value and truth of knowledge are measured by success in activity [Dewey]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Knowledge is mind and knowing 'cohabiting' [Lycophron, by Aristotle]
16. Persons / B. Nature of the Self / 1. Self and Consciousness
Habits constitute the self [Dewey]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
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
Democracy is the development of human nature when it shares in the running of communal activities [Dewey]
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
Individuality is only developed within groups [Dewey]