Combining Texts

All the ideas for 'fragments/reports', 'Continuity and Irrational Numbers' and 'What is Art?'

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12 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
The highest feelings of mankind can only be transmitted by art [Tolstoy]
Art is when one man uses external signs to hand on his feelings to another man [Tolstoy]
True works of art transmit completely new feelings [Tolstoy]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
The purpose of art is to help mankind to evolve better, more socially beneficial feelings [Tolstoy]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
People estimate art according to their moral values [Tolstoy]
We separate the concept of beauty from goodness, unlike the ancients [Tolstoy]
The upper classes put beauty first, and thus freed themselves from morality [Tolstoy]