Combining Texts

All the ideas for 'fragments/reports', 'Axiomatic Thought' and 'Explanation: the state of play'

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10 ideas

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]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
12314 Audience-relative explanation, or metaphysical explanation based on information? [Stanford]
12313 Explanation is for curiosity, control, understanding, to make meaningful, or to give authority [Stanford]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
12315 We can explain by showing constitution, as well as showing causes [Stanford]
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]