Combining Texts

All the ideas for 'fragments/reports', 'Non-foundationalist epistemology' and 'works'

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9 ideas

2. Reason / A. Nature of Reason / 6. Coherence

8616	How can multiple statements, none of which is tenable, conjoin to yield a tenable conclusion? [Elgin]

8617	Statements that are consistent, cotenable and supportive are roughly true [Elgin]

5. Theory of Logic / A. Overview of Logic / 2. History of Logic

11022

Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

11065

The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]

11023

The logical connectives are 'defined' by their introduction rules [Gentzen]

11213

Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

10067

Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]

13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification

8618	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

468	Musical performance can reveal a range of virtues [Damon of Ath.]