Combining Texts

All the ideas for 'Preface to 'Dorian Gray'', 'The Sceptical Chemist' and 'Axiomatic Thought'

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10 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The facts of geometry, arithmetic or statics order themselves into theories [Hilbert]
Axioms must reveal their dependence (or not), and must be consistent [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
To decide some questions, we must study the essence of mathematical proof itself [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
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
Number theory just needs calculation laws and rules for integers [Hilbert]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
All art is quite useless [Wilde]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Books are only well or badly written, not moral or immoral [Wilde]
Having ethical sympathies is a bad mannerism of style in an artist [Wilde]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert]
27. Natural Reality / G. Biology / 3. Evolution
I don't see how mere moving matter can lead to the bodies of men and animals, and especially their seeds [Boyle]