Combining Texts

All the ideas for 'Actions', 'works' and 'Axiomatic Thought'

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8 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]
20. Action / A. Definition of Action / 5. Action as Trying
20082 Bodily movements are not actions, which are really the tryings within bodily movement [Hornsby, by Stout,R]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
8120 Objects can be beautiful which express nothing at all, such as the rainbow [Herbart, by Tolstoy]
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]