Combining Texts

All the ideas for 'fragments/reports', 'Axiomatic Thought' and 'The Value Problem'

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10 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
19735 Wisdom has a higher value than understanding, which has a higher value than knowledge [Greco]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17963 The facts of geometry, arithmetic or statics order themselves into theories [Hilbert]
17966 Axioms must reveal their dependence (or not), and must be consistent [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
17967 To decide some questions, we must study the essence of mathematical proof itself [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
17965 The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
17964 Number theory just needs calculation laws and rules for integers [Hilbert]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
19734 If value is practical, knowledge is no better than true opinion [Greco]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
19733 Externalist theories don't explain why knowledge has value [Greco]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
17968 By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert]