Combining Texts

All the ideas for 'Of Civil Liberty', 'An Essay in Aesthetics' and 'The Art of the Infinite'

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18 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Most of us are too close to our own motives to understand them [Fry]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Imaginative life requires no action, so new kinds of perception and values emerge in art [Fry]
Everyone reveals an aesthetic attitude, looking at something which only exists to be seen [Fry]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
'Beauty' can either mean sensuous charm, or the aesthetic approval of art (which may be ugly) [Fry]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
In life we neglect 'cosmic emotion', but it matters, and art brings it to the fore [Fry]
21. Aesthetics / B. Nature of Art / 2. Art as Form
Art needs a mixture of order and variety in its sensations [Fry]
21. Aesthetics / B. Nature of Art / 3. Art as Imitation
If graphic arts only aim at imitation, their works are only trivial ingenious toys [Fry]
Popular opinion favours realism, yet most people never look closely at anything! [Fry]
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
When viewing art, rather than flowers, we are aware of purpose, and sympathy with its creator [Fry]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
In the cinema the emotions are weaker, but much clearer than in ordinary life [Fry]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
For pure moralists art must promote right action, and not just be harmless [Fry]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
Modern monarchies are (like republics) rule by law, rather than by men [Hume]