Combining Texts

All the ideas for 'The Architecture of Mathematics', 'On Euclidean Geometry' and 'The Beautiful in Music'

expand these ideas     |    start again     |     specify just one area for these texts

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3 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

16886

The truth of an axiom must be independently recognisable [Frege]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

10190

From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]

21. Aesthetics / C. Artistic Issues / 4. Emotion in Art

20344

Music is not an expressive art, because it expresses no familiar emotions [Hanslick, by Wollheim]