Combining Texts

All the ideas for 'Reportatio', 'Axiomatic Thought' and 'Creating the Kingdom of Ends'

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9 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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
18678 Maybe final value rests on the extrinsic property of being valued by a rational agent [Korsgaard, by Orsi]
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]
28. God / A. Divine Nature / 3. Divine Perfections
9111 God is not wise, but more-than-wise; God is not good, but more-than-good [William of Ockham]
28. God / C. Attitudes to God / 4. God Reflects Humanity
9112 We could never form a concept of God's wisdom if we couldn't abstract it from creatures [William of Ockham]