Combining Texts

All the ideas for 'fragments/reports', 'Non-foundationalist epistemology' and 'On boundary numbers and domains of sets'

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7 ideas

2. Reason / A. Nature of Reason / 6. Coherence
How can multiple statements, none of which is tenable, conjoin to yield a tenable conclusion? [Elgin]
Statements that are consistent, cotenable and supportive are roughly true [Elgin]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]
5. Theory of Logic / L. Paradox / 3. Antinomies
The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Coherence is a justification if truth is its best explanation (not skill in creating fiction) [Elgin]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]